#math table 1 to 20 learning

[locusfandomtime]

Doing the maths: Grian's failure at getting a mending book

lots of talk about maths and probabilities below the cut! but there's a graph and simple explanation at the end if you want to get the gist of it and are bad at maths.

(I am still young and learning maths, critique/advice always welcomed)

What are the odds of getting a mending book in Minecraft?

(I am assuming Grian has been doing all his fishing with Luck of the Sea 3)

The probability of a mending book is actually a bit annoying to estimate. The Minecraft Wiki lists fishing up an enchanted book as 1.9% chance. This is for ANY enchanted book. The Minecraft wiki talks about how the chance of an enchantment being selected is calculated. Mending has a weight of 2. Using the table, mending has a probability of 2/135.

However, Grian is looking for any book with mending, not just a pure mending book. Additional enchantments are calculated in a different way, involving RNG, which means it won't be as easy to model. Due to this reason, I'll just be using the odds for a pure mending book throughout.

TLDR: a mending book has a 0.028..% chance (2/135*0.019*100)

Grian's Data

According to this screenshot, Grian has used a fishing rod 5679 times. This number may not be fully accurate, as it includes the times he's fished other players, rather than just fished for items, but it is a good estimate.

To help visualise this data, with a median waiting time between catches of 17.5 seconds, Grian has spent over 20 hours fishing so far! He may have a problem.

Is this statistically significant?

Hypothesis testing (p-value approach):

H0: p = 19/67500 (the null hypothesis - he has no mending books because of chance)

H1: p < 19/67500 (the alternate hypothesis - he has no mending books due to different odds)

5679 trials, 0 mending books

X ~ B(5679, 19/67500) (binomial distribution, 5679 tries with a probability of a mending book being 19/67500, where X is the number of mending books)

p(X=0) (what is the probability the number of mending books being 0)

p = 0.2021473392

Now, the point at which data becomes significant is subjective. For instance, you *could* get a million heads in a row flipping a coin, it's not impossible, but at a certain point, you can begin to say "okay there's something not normal about this". For this approach, the closer the p-value is to 0, the more evidence there is against the null hypothesis . The p-value here is far above a significance level of 0.01, or 0.05, or 0.1. There isn't a clear line between significant/non-significant, but this is answer is quite a bit far from 0

With this, I cannot reject the null hypothesis.

Personal conclusion: this is not statistically significant, Grian is just unlucky.

Are other values statistically significant?

Gem's proposed 9000: results in a p-value of 0.079... more significant than Grian's number but I don't imagine Mojang would be too concerned. As said though, it's all subjective.

I am bad at maths, what does all this mean?

Here is a graph, showing what number of mending books you might have after 5679 tries. The height of the bar represents the probability of getting that amount. The numbers at the top are the (rounded) numbers I used in my calculation

The pink column is 0 mending books - like what Grian has! As you can see, it is less likely than getting 1 or 2 books, but not too uncommon to happen.

End conclusion: Grian has bad luck. Like, not as hilariously bad as he thinks, but still bad. If he keeps going, chances are he will get a mending book, but I think he should probably stop fishing because at this point he has a problem.

[emberphoenixisgoingtolive]

Nublar Six's study habits

in honour of me hitting the halfway mark through my exams, here's how i think the nublar six would study and the grades they get!!

Darius:

extremely studious

studies in Kenji’s/Brand’s room. cannot focus without being in the proximity of another person

works almost to the point of burnout before Brand/his mother/one of the N6 drag him to a theme park or aquarium to unwind

tutors Kenji on science subjects despite being two grades younger than him (Darius is three grades ahead science wise)

hosts virtual study sessions with the others

makes very detailed flashcards (digitally because his handwriting is terrible)

gets mostly A–A* but probably a B or C student in sports

best subjects are the sciences, particularly biology, and maths. he is so good at stem subjects. nerd [affectionate]

Brooklynn:

never actually learned how to study in all her years of homeschool

studies at her kitchen table (her bedroom is her sleep space)

the others teach her how (except Kenji cos he has no clue how to study either)

learns extremely quickly and gets mostly As with a few Bs and A*s

one of those annoying people who are good at everything (Yaz hates it)

her best subjects are the humanities–type stuff (geography, history, religious studies, economics, life skills etc) and english

Yaz:

pretty studious; probably has the most consistent studying habits out of everyone

very used to studying in unusual places because of fitting studying in between all her track events (she’s studied in locker rooms more than libraries)

has weirdly small writing

usually studies by doing practise questions

has one (1) google drive folder where she keeps all her revision material

can Not be listening to music while she studies

mostly As, A* in sports (obvs), and a few Bs

overall good at everything except english. it’s her worst enemy. analysing literature texts makes her want to flip her desk.

Sammy:

decent at studying but only because she does everything she can to make it more fun

her notes are the prettiest notes you’ve ever seen

ratio of actual notes:random doodles about 50:50

writes in gel pen with big, loopy handwriting

highlighter all over her notes

listens to music or lofi beats while she studies

carries around every book under the sun, “just in case i need it!!” even if it makes her backpack weigh about 20 kilos (45 pounds)

usually gets Bs and a few As

best subjects are english (she helps tutor Yaz ofc) and other languages. she’s fluent in Spanish, she might as well take it for the easy A

Kenji:

hates studying. would honestly jump down the stairs to get out of an exam. has done so once or twice

also has to have someone else near him or he won’t focus

very reluctantly has to ask one of the Bowmans to sit with him while he studies (they are all more than happy to oblige)

usually studies in the kitchen while mama Bowman is making dinner or doing her own work or smth

mama Bowman was a pretty good student and i hc she has a healthcare job of some description so she could help Kenji with the sciences

used to be a C/D student but since living with the Bowmans he becomes a B/C student

Ben:

hates studying. hates school. writes detailed rants on why the school system is fundamentally broken instead of actually studying.

doodles Bumpy in the middle of class in his notebook and thinks about running around the jungle

has to be forced into studying by the others. Darius has to bully him over video call

if he has to study it’s outside. being indoors suffocates him

gets As in biology, bare minimum grades needed to study paleontology and otherwise does Not Care

best subject is biology. everything else he hates with a passion.

[topazadine]

A Primer on Dyscalculia: The Learning Disorder You Weren't Told About in School

I rarely see people discussing this learning disability, to the point that many believe it doesn't exist (ie, saying math is the universal language and everyone understands it but just doesn't try) so I thought I'd explain a bit about what it is.

Dyscalculia is a learning disability characterized by difficulty with math, numbers, and some systematic learning that requires the use of memorization and application. Like its relative, dyslexia, it is not that someone is "stupid" or "not trying hard enough" to learn math; our brains are essentially wired not to absorb information in this form.

Common symptoms of dyscalculia include:

Inability to do basic math problems

Struggling to count, often using their fingers to count

Difficulty using multiplication and division

Challenges with visualizing heights, lengths, and widths

Difficulty counting change

Struggling to read a clock or divide time into reasonable measurements

Challenges with memorizing numbers, dates, and sequences

No one is actually sure how many people have dyscalculia because it is rarely diagnosed. Right now, estimates are around 3% to 7% of the population, but this is likely a vast underrepresentation.

Educators still believe the myth that everyone can do math and that those who say they can't are just refusing to apply themselves. This causes lifelong problems for dyscalculiacs because if not treated early enough, it is nigh-on untreatable.

Many people with dyscalculia may complete math problems in unusual and time consuming ways. For example, if you asked me to divide 145 by 5 without a calculator, this is how my brain would have to do it:

100 by 5 (20)

20 by 5 (4), then multiply this by 2 (8), then divide 5 by 5 (1)

And finally, add up all the results (20+8+1) to get 29.

Numbers that are not easily divisible or "chunked" like this would be nigh-on impossible for me to do in my head. I wasn't able to memorize the times tables and in fact needed a laminated times table well into elementary school (think 5th grade).

I distinctly remember feeling like everyone else was on the helm of the USS Enterprise when they could so easily shout out answers to simple multiplication or division problems, and I was always the last person to do those stupid times table sheets. Sometimes I couldn't even complete half of it by the time everyone else was done.

I failed 3rd grade math class and had to be assigned a tutor. This was despite getting all As in every single other class. In fact, I failed multiple math classes during my academic career.

Since my grades were so high in other classes, I had to petition to be put in a remedial math class. Everyone assumed that because I did well in things like English, science, civics, and so on, I must have been able to do what my peers could.

A college-level physics class was the hardest class I have ever done in my life, and I have a Master's degree in International Relations, which requires a lot of very dry and complicated political theory. That is the A I am most proud of because it required far more effort than anything before or since.

No one told me what dyscalculia was or identified a problem throughout my entire time in education. I had to seek out resources myself in adulthood before finally learning what my problem was. This, of course, led to significant "math fear" and self-esteem issues, especially in a society that is obsessed with STEM.

This learning disability can have far-reaching effects and impact things that other people may not even consider. There are many connections between systematized learning and math.

Dyscalculiacs may also have trouble with:

Learning languages

Playing musical instruments (because sheet music and tempos are a form of language + math, though it is possible to learn by ear)

Reading maps, including general world geography

Estimating distances

Navigating a new place because they can't make "mental maps"

Dancing (due to the sequencing)

Reading diagrams

Remembering step-by-step instructions without a cheat sheet

Completing complex tasks that have a lot of steps

Starting a project that necessitates doing things in a certain order, such as building something

Cooking or baking (because it requires measuring and matching measurements to specific ingredients)

Repeating sequences, like a phone number

Remembering numbered streets or highways (like I-480, 5th street, or etc)

Playing games that require counting or keeping score, like Yahtzee, card games, and so on

Completing spreadsheets with numbers

Of course, not every dyscalculiac will struggle with all of these things because there are different degrees of severity. Many also learn tactics to compensate. For example, I never learned sheet music but did well in choir because I memorized all the songs entirely by ear.

I have developed visualizations of common routes I travel and can navigate to them by remembering the landmarks I pass. If you tried to ask me specific step-by-step directions of anywhere, I couldn't tell you, but I can tell you that you'll pass a KFC on your right if you're going east (parallel to Lake Erie), and then you will turn left at the big shopping center.

There are plenty of adaptations that everyday people use which are lifelines to dyscalculiacs in ways that other people may never recognize. Formulas on spreadsheets, conversion websites, built-in calculators, and turn-by-turn navigation apps are all examples of accommodations that appeal to everyone but are especially important to dyscalculiacs.

So, the next time you scoff and say "everyone can do math, they're just being lazy" or "cooking is easy" or "anyone can learn a second language if they want to" or "using a calculator is cheating" and so on:

Recognize that you are ignoring a very real learning disability. These statements are ableist.

Such rhetoric is equally damaging as anti-dyslexic statements like "everyone can learn to read," "open dyslexic fonts are ugly," "audiobooks are cheating," "video lessons are lazy" and things of that ilk.

Ableism takes many forms, many of which people refuse to recognize. Difficulty with math is a widespread problem, and it often has nothing to do with trying hard enough or refusing to learn. I remember breaking down in tears trying to do my times table; I would spend hours trying to understand them.

These issues are NOT a lack of willpower or application. They have to do with real neurological deficits. Please be kind to those who can't do math, and stop assuming we're lazy.

[zoesblogsposts]

o 625 words to know in your target language o

There is a really interesting blog called "Fluent Forever" that aids foreign language learners in tricks, tips and techniques to guide them to achieving fluency "quickly" and efficiently. One of the tricks is to learn these 625 vocab words in your target language, that way you have a basis to start delving into grammar with ease as you can understand a lot of vocab right off the bat. Plus this list of words are common across the world and will aid you in whatever language you are learning. Here is the list in thematic order

• Animal: dog, cat, fish, bird, cow, pig, mouse, horse, wing, animal

• Transportation: train, plane, car, truck, bicycle, bus, boat, ship, tire, gasoline, engine, (train) ticket, transportation

• Location: city, house, apartment, street/road, airport, train station, bridge hotel, restaurant, farm, court, school, office, room, town, university, club, bar, park, camp, store/shop, theater, library, hospital, church, market, country (USA,

France, etc.), building, ground, space (outer space), bank, location

• Clothing: hat, dress, suit, skirt, shirt, T-shirt, pants, shoes, pocket, coat, stain, clothing

• Color: red, green, blue (light/dark), yellow, brown, pink, orange, black, white, gray, color

• People: son, daughter, mother, father, parent (= mother/father), baby, man, woman, brother, sister, family, grandfather, grandmother, husband, wife, king, queen, president, neighbor, boy, girl, child (= boy/girl), adult (= man/woman), human (# animal), friend (Add a friend's name), victim, player, fan, crowd, person

• Job: Teacher, student, lawyer, doctor, patient, waiter, secretary, priest, police, army, soldier, artist, author, manager, reporter, actor, job

• Society: religion, heaven, hell, death, medicine, money, dollar, bill, marriage, wedding, team, race (ethnicity), sex (the act), sex (gender), murder, prison, technology, energy, war, peace, attack, election, magazine, newspaper, poison, gun, sport, race (sport), exercise, ball, game, price, contract, drug, sign, science, God

• Art. band, song, instrument (musical), music, movie, art

• Beverages: coffee, tea, wine, beer, juice, water, milk, beverage

• Food: egg, cheese, bread, soup, cake, chicken, pork, beef, apple, banana orange, lemon, corn, rice, oil, seed, knife, spoon, fork, plate, cup, breakfast, lunch, dinner, sugar, salt, bottle, food

• Home: table, chair, bed, dream, window, door, bedroom, kitchen, bathroom, pencil, pen, photograph, soap, book, page, key, paint, letter, note, wall, paper, floor, ceiling, roof, pool, lock, telephone, garden, yard, needle, bag, box, gift, card, ring, tool

• Electronics: clock, lamp, fan, cell phone, network, computer, program (computer), laptop, screen, camera, television, radio

• Body: head, neck, face, beard, hair, eye, mouth, lip, nose, tooth, ear, tear (drop), tongue, back, toe, finger, foot, hand, leg, arm, shoulder, heart, blood, brain, knee, sweat, disease, bone, voice, skin, body

• Nature: sea, ocean, river, mountain, rain, snow, tree, sun, moon, world, Earth, forest, sky, plant, wind, soil/earth, flower, valley, root, lake, star, grass, leaf, air, sand, beach, wave, fire, ice, island, hill, heat, nature

• Materials: glass, metal, plastic, wood, stone, diamond, clay, dust, gold, copper, silver, material

• Math/Measurements: meter, centimeter, kilogram, inch, foot, pound, half, circle, square, temperature, date, weight, edge, corner

• Misc Nouns: map, dot, consonant, vowel, light, sound, yes, no, piece, pain, injury, hole, image, pattern, noun, verb, adjective

• Directions: top, bottom, side, front, back, outside, inside, up, down, left, right, straight, north, south, east, west, direction

• Seasons: Summer, Spring, Winter, Fall, season

• Numbers: 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20 21, 22, 30, 31, 32, 40, 41, 42, 50, 51, 52, 60, 61, 62, 70, 71, 72, 80, 81, 82, 90, 91, 92, 100, 101, 102, 110, 111, 1000, 1001, 10000, 100000, million, billion, 1st, 2nd, 3rd, 4th, 5th, number

• Months: January, February, March, April, May, June, July, August, September, October, November, December

• Days of the week: Monday, Tuesday, Wednesday, Thursday, Friday, Saturday, Sunday

• Time: year, month, week, day, hour, minute, second, morning, afternoon, evening, night, time

• Verbs: work, play, walk, run, drive, fly, swim, go, stop, follow, think, speak/say, eat, drink, kill, die, smile, laugh, cry, buy, pay, sell, shoot(a gun), learn, jump, smell, hear (a sound), listen (music), taste, touch, see (a bird), watch (TV), kiss, burn, melt, dig, explode, sit, stand, love, pass by, cut, fight, lie down, dance, sleep, wake up, sing, count, marry, pray, win, lose, mix/stir, bend, wash, cook, open, close, write, call, turn, build, teach, grow, draw, feed, catch, throw, clean, find, fall, push, pull, carry, break, wear, hang, shake, sign, beat, lift

• Adjectives: long, short (long), tall, short (vs tall), wide, narrow, big/large, small/little, slow, fast, hot, cold, warm, cool, new, old (new), young, old (young), weak, dead, alive, heavy, light (heavy), dark, light (dark), nuclear, famous

[saelterlude]

Link Click Musical clips list pt.2. (pt.1, pt.3, pt.4, pt.5, pt.6, pt.7 here)

guess who finally learned to navigate bilibili? me. which means i can finally start tracking down moments/clips i (vaguely) remember but has since lost. yeay :D

starting with this beloved trilogy (yes, these are three consecutive Wang Minhui-Cai Qi performances):

23. 09/12/2023, Where Wang Minhui pushes Cai Qi off the table,

24. 10/12/2023, Cai Qi retaliates,

25. 20/12/2023, and finally they both try to push the other off the table only to fail, mess up the rock paper scissors, and can't stop laughing.

And others like,

26. 02/12/2023, bonus to the trilogy above where Cai Qi fell off on his own for no reason.

27. 29/01/2024, Cao Muzhi's birthday, which has so many good moments from him breakdancing(?) to fighting over the mic until both Zhu Hanbin and Xian Dongyue fell from the table, and Cao Muzhi sang the wrong lyrics and confuses Zhu Hanbin (for more context, check out shimmeringweeds reply! thank you!).

28. 29/01/2024 bonus, Cao Muzhi try to math how to cut cake 16 ways. Zhi Bowen suggested cutting 8 slices then cutting it horizontally lol.

29. 31/01/2024, Zhu Hanbin gets his revenge(5) and slaps Ding Xingchen's ass, tbh in general he was pretty aggressive/energetic this performance

30. 08/01/2024, a pretty chaotic and fun one of Bai Zhuoming, Wu Yihan, and Qian Anqi. Voice cracks, giggles, missed lyric, false steps, we gottem all. Even Zhu Jiayan and Zhang Jiahao were cracking. Highly recommend.

31. 10/12/2023 night, thank you shimmeringweeds for finding this clip. Du Guangyi poisoning someone (Teng Chunpeng) for the first time. Bonus for Deng Xianling sitting up in concern and offering Du Guangyi something to drink too. (Also, double failed hearts and singing the last line of guiding light together!)

32. 05/01/2024, Smol Rongbo!!! And Wang Minhui (for there to be smol there gotta also be big) some other stuff also happens like Xian Dongyue aggresively pushing Shu Rongbo's legs off hers.

33. Wang Minhui's 5 minutes vlog, we got glimpses of other scenes, the cast messing around, a tour(?) of the set, and snippets of other songs.

34. 07/01/2024 day, short one of sulky Wang Minhui, very cute 8:)

35. 23/11/2023, Overall, pretty tamed performance but the curtain call? Really chaotic. Wang Minhui messed up Director Li Haolin's name, which I realized is even funnier bcs right before that he messed up Guo Zhenyan's name and Cai Qi gotta intervene. Man cannot focus lol.

yea I waited until we got a clip of this livestream to post this pt.2

36. Faith of Friendship, <- Official, here's a subbed ver. Cai Qi and Wang Minhui did a good job, singing about their first meeting and basketball. The choreo is also really cool and the song too. Got sad when you remember Wang Minhui once said his Lu Guang has witnessed Cheng Xiaoshi's death.

37. Words Can't Convey My Love, this!!! Shu Rongbo as Chen Xiao being absolutely flustered, (trying) and failing to confess to his crush is so cutee with Wu Yihan trying to wingman in the background. The ending is so funny too lol, with Shu Rongbo running away and Wu Yihan shouting at him. The song is good, the choreo is good, Shu Rongbo's voice is also really good.

Nothing related to Link Click but I went on a Wu Yihan binge so have this bonus clip of him being cute in the Love Musical

Enjoy and byee. pt.3 in end of march? mid march? whenever I got a long list of clips I like. Definitely gonna put a 10/03/2024 clip in pt.3 bcs Shu Rongbo and Wu Yihan bday, and also 11/03/2024 bcs Teng Chunpeng bday.

[variablejabberwocky]

having finally figured out a hexadecimal system that works with my brain i moved on to the next major system: base-20

and holy shit kaktovik numbers my beloved <3 <3 <3

they're such an elegant system. simple, functional, visually distinct from other number system AND themselves, the value is encoded in the shape, ALLOWS FOR AMAZING MATH FUNCTIONS!

like this shit is so well designed you can do a LOT of the more basic math WITHOUT HAVING TO THINK OF THE NUMBER'S VALUE!!!

its basically the most sophisticated tally-mark system i've ever seen. all the marks are linked so there's no ambiguity about what lines are from where. the vertical ones are all valued at "1", the horizontal ones are all valued at "5".

YOU CAN JUST PULL THE LINES OFF AND ADD MORE ON TO DO ADDITION AND SUBTRACTION!

and apparently you can do something similar for long division

AND THE MULTIPLICATION TABLE IS SO TINY! its three 4x4 tables instead of a giant single one

like holy shit i can't get over how amazing a system this is. and it was made by KIDS! kids that were considered bad at math for dumbfuck racist reasons! like talk about an impressive Fuck You to that nonsense!

and because all the components of each numeral is within the subitizing range its SO easy to work with. like this is lending some real evidence to my theory that learning a number system in the subitizing range would be easier first, rather than one out of that range like base-10. like technically this system is base-20 but the sub-bases are "2", "4", "5", and "10" with more emphasis on "2" and "5" for the number shapes.

and like, IT WORKS, it works REALLY FUCKING WELL

i WISH we had something even half as elegant as this for base-16

[puuta-heinaa]

Joker Out -sweater series Post 1 Post 2 Post 3 Post 4

Happy Carpe diem's birthday!

As promised, here's the chart now that I've finished the yoke! The four rows I added on the go (20, 22, 29, 31) are now part of the chart, so no need to knit any row twice. I did alter the most annoying cloud rows slightly.

There's "colours only" chart at the end of this post.

What you'll need:

Technique Ladderback jacquard/invisible stranding technique is a MUST, and honestly it makes following the chart easier as well! If you don't feel like learning it, you might want to mark the blue lines with stitch markers. Here's an EXCELLENT video of the technique in Finnish, it's very visual + auto-translated subtitles seemed to work reasonably well, so it might work even for non-Finnish speaking people! https://www.youtube.com/watch?v=CtapBYocY80&t

Yarn I'm using Drops Alaska, 17s/10cm in color 15 and 58 and 3. It is widely available and affordable yarn. It's not soft but it's not worst either, somewhere around 29-33 microns I'd say.

In reality I'm using Drops Nepal 0501 for the grey, as I was going to use Nepal in the first place as it is a lovely yarn!!!! I'd say around 25-27 microns, and 35% alpaca, makes even warmer sweater! Colours are sold out in most places in Jan and Feb as it's always on big sale in Nov-Dec, but 6790 or 1709 would work for blue, and 2923 for the yellow.

I used one skein of grey, 1(2) skeins of yellow and as I'm making a crop version like I always do, about 8 skeins of main colour. If you want a regular sweater, you'll need 10-12 skeins of blue depending on your height.

Friendly reminder to check your local shepherd's and local mills' yarns before buying Drops, if that is something you financially can afford.

Needles 5 mm needles. I've recenlty fallen in love with addi's unicorn needles. They're easy for the hands as they are slightly shaped. No need to grip hard = more knitting time per day! And they're pretty! You want to use lacquered or metallic needles for this yarn, you will struggle with bamboo needles.

Some adjustments The chart is not scaled. It's one size. It makes size M/L. The widest part of the yoke is 150 cm, and I'm aiming for 100-105cm for the body. If you need a bigger sweater, use yarn that has 15 or 12 s/10cm and bigger needles, or add a few (blue) stitches on each side of the chart. If you need a smaller sweater, use yarn that has 18-20 s/10 cm and smaller needles. Do some math before choosing your yarn. And please swatch!! It's boring and annoying but you will thank yourself later.

+ stitch markers (you can use yarn loops)

I'll write up the whole pattern once I have energy to do that. I started with 86 stitches, knit rib for 5 rows, placed the stitch markers (17,17,17,17,18), did some shaping for the neck (5 short rows with 42 stitches in total) and moved on to the chart. 1-2 rows with just blue to cast off the ladders, and then I'll move on to sleeves. I don't promise my pattern will be any clearer than these quick notes right here, but if you know someone who knits or have already knit few sweaters, these should give you a decent starting point.

OK ON TO THE CHARTS.

One with only the colours. The numbers on the cloud are upside down when you're knitting, but they still help somewhat (I had put them in the same table/layer with the colours, and couldn't hide them easily, so we'll just have to live with them.)

Dark grey boxes are stitches that don't exist yet, but where will be a stitch later on on the chart. You add the stitches on rows where the boxes turn white.

And the second; what you might want to embroider on the suns and clouds as finishing touches.

And yoke part of the sweater for those who hadn't yet seen it yet and didn't click the links:

[changingplumbob]

Woods Household: Chapter 1, Part 2

In this part the couple work together to get the file from the sheriff, Reece learns how bad the attacks were, then the couple unwind at the romance festival.

I changed my limit of pic collages per story post to 20 a while ago but I felt like I wrote a lot here. I did math and it's 52% longer than part 1 so... grab that snack, grab that coffee, it will probably take a few extra minutes to read so may as well be comfy.

Low level content warning: Some sim spice, mentions of death and violence

Reece: You’re so damn precise, I love it

Samir: Sometimes, like when we’re together, I have to be. Safety first. Other times, well…

Samir pulls out a knife and begins swinging at the block, causing Reece to wobble in his tree pose.

Reece: *shocked* The hell are you doing???

Samir: If they didn’t want me to use a knife for woodworking, why would they include one with the table. There, one horse sculpture done

Reece: *quizzically* Are you… starting another one?

Samir: We have to earn money somehow. But go back to your brainwave

Reece: My brainwave?

Samir: I know you. If you were thinking about the sheriff then you were bound to come up with a brainwave

Reece: I was thinking, the file on your parents deaths has to have a hard copy in records. Do you know where they’re kept?

Samir: The station is technically a small office above the library, so they’ve got to be kept nearby but not inside

Reece: I was thinking I'll go and talk to Sheriff Captain about the deed stuff while you go have a look for the file. Then we, you know, run away

Samir: I don’t like the idea of using you as a distraction

Reece: I’ll have you know I am very distracting, it’s a quality I have. Besides, I don't think you'd be able to have a conversation with that jerk. Unless it was a see who blinks first contest

Samir: *snorts* Well if Captain seemed to think you were a responsible person, we may as well take advantage

Reece: Okay just... let me take a cold shower first. Hearing you work there gave me... some kind of feelings

Samir: *smirks* Alright but no cheating. Remember, good boys follow the rules

The two head to the renovated mill which now serves as the Recreation centre for the town. Before heading in Samir grabs hold of Reece’s wrist, and twists him so they’re face to face.

Reece: Are you all right? There doesn’t seem to be too many people around

Samir: It’s not… I mean people are difficult but… I wanted to say, whether we pull this off or not, it means the world to me that you want to help

Reece: Of course I want to help, I love you

Samir: And I love you. Have I told you that today?

Reece: Yes, but that doesn’t mean I object to hearing it again

Samir: 🎵I… Love… You🎶

Reece: Well be still my beating heart

Samir: I’m so proud of you for coming up with this idea

Reece: It wasn’t that tough, I just… you know… thought it up

Samir: It still came from your brain blondie. You're a genius

Reece: We should get inside before I turn red, or the sheriff hears your singing and figures out what we’re doing

Samir: You go first, then I get the best view. One damn fine backside

Reece: Just admit you want me to fail at not getting off. You’re so- oh hey look, laundry machines!

Samir: Good. You always get your clothes dirty

Reece: It’s not like I get them dirty by myself. Is it this way

Samir: Should be. Nothing else has changed here

Reece: That’s one big sign. Hey *laughs* do you get the feeling he’s compensating for something?

Samir: Please don’t suggest that to him

Reece: Don’t worry boss. I’m going to distract him, you’re going to find the file, and we’re going to meet back home after, no problems. You should be able to pick it from first page stuff without having to read the details

Samir: *sighs* We can do this?

Reece: We can do this

...

Captain: Oh, it’s you again

Reece: Yes sir, I’m Reece

Samir timed the closing of the records room door for when Reece shut the office door. The records room was larger that he thought but didn’t appear to be too disorganised. Now, if he was a cop who thought murders were bear attacks, where would he put the file?

...

Captain: I hope you didn’t think I was out of line this morning. As sheriff I'm supposed to... extend courtesy to the citizens here

Reece: Seemed to me like you were just making sure no one was damaging the property, for which me and my boyfriend are extremely grateful

Captain: Did you bring a copy of the deed? To prove you have a right to be there?

Reece: Did I- why yes, I did, hold on a second

Bear attacks would fall under the umbrella of animal attacks. But there was nothing labelled animal attacks. Instead from what he could see every case of an animal attack that the town had had was kept separate from one another. His parents were the only fatalities though. Most others just had people losing consciousness and being unable to say what happened.

...

Captain: I’m glad to see you’re true to your word

Reece: So is my boyfriend

Captain: *scoffs* he doesn’t seem to say very much

Reece: He doesn't need to. Besides, he’s had a hard life, remember

Captain: Right. Watcher I’ll never forget that scene, I can’t believe they managed to clean it all up to try put the place on the market. I would have just torn the whole thing down

Reece: It was… really bad then?

Captain: I had seen dead things before, growing up near the woods you do. But I hadn’t tossed my stomach like that before, nothing prepares you to see bodies like that for the first time

Reece: You said there were urban legends...

Captain: Sure. Go anyplace and you're bound to hear about one house where things went sideways, people got hurt, and rumours say you won't survive a trip inside. It so happens your house is that place in Moonwood Mill. The deaths... but that’s just memories now. Good luck renovating and selling the house

Reece: Oh, we’re not selling it

Captain: You’re... not selling it?

Reece: No. We’re going to make a home there

Captain: You mean *scoffs*… you two will be sticking around?

Reece: *carefully* Yes, Samir and I are both big nature fans. The woods here are lovely

Captain: They are but *sighs* nevermind kid. Look, you proved you can be in the house, I have work to do here. You should... you should leave now

Reece turns to go when he hears the sheriff clear his throat.

Captain: I hope you and your boyfriend aren’t doing anything too… intimate. Because if you are getting up to stuff when you’re still a teen, he will be held responsible in the eyes of the law. We take protection of minors seriously here

Reece struggles not to swing for him. How dare he talk about looking after minors when he'd been so insensitve to Samir, who was only 5 when it all happened. He took a deep breath, and chose his next words carefully

Reece: He is a teen himself Sheriff, and I turn 18 tomorrow... but thank you for your concern you... clearly take your job seriously

Back at home...

Samir: I found the file. It was labelled so I didn't have to look in it. Were you okay

Reece: Piece of cake. Apart from it seeming like he would be a lot happier if we left town

Samir: What did he say

Reece: When he implied we needed to sell the house or when he implied he would arrest you if we had woohoo

Samir: Jerk. Almost makes me want to bend you over the table just to spite him

Reece: I mean you could and I would endorse such action

Samir looks sternly at Reece.

Reece: *sighs deeply* But I can't get off until my birthday, I know

Samir pulls Reece close and kisses him on the forehead before the two turn their attention back to the file in front of them.

Reece: Okay, you ready

Samir: Yeah just... maybe read in your head... please

Reece: You take care of me, I take care of you

Report of first officer on scene: Sheriff Giles. The station had a call mid-morning from a woman out on a run. She said she saw the door at the Hadji house was knocked in. She told me she approached the property but got a "weird feeling" so decided to call me instead of heading inside. I left Deputy Greenway manning the station and I went over there. I sent her on her way and approached the house. The door was completely detached and the doorframe was splintered. The smell hit you before you could even see inside the house, it's a good thing the woman didn't get closer. My late father used to hunt the wild boar in the area. He would drain the carcass of blood in our backyard before cutting up his kill, the smell put me back there.

Reece: Okay this bit is just saying a Sheriff Giles was first on scene

Samir nods, indicating Reece should keep reading to himself.

Upon entering the property it was clear that there were the remains of two bodies amongst the wreckage, most likely the property owners Othman and Nadia Hadji. Around the body I assumed to be Nadia were chunks of flesh leaving gaping wounds in her back, enough gone to see bone. I'm sorry to say Othman was in several pieces, and the blood pools around him appeared to have been walked through. However it had likely been some hours since the attack, and alongside the main tracks were small tracks, most likely from investigating animals. The larger tracks weren't clear enough to place. Most of the household furniture in that main area had been broken and touched by blood spatter. I looked up and there was even some on the roof, figured whatever did it got mad. I called in to the station then to alert my Greenway to the situation. I told him I would require camera equipment first off, and that he should bring the town doctor with him because we had bodies to process. Poor bloke was silent for the longest time, probably figured all he’d be doing in a small town like this would be parking tickets.

Reece: *softly* Samir... I didn't know

Samir: *clears throat* anything strange yet

Reece: Seems like the sheriff then thought Greenway was not cut out for something like this

Samir: He had kind eyes that sheriff. Giles I think he said he was

Reece: You're right, that's what it says

Reece gave Samir’s hand a reassuring squeeze and carried on reading.

Once the lads arrived, I set about taking photos of everything I could. The doctor wondered about Samir but whatever did this likely dragged him off, the boy was tiny and would be easy prey for something that took down his parents. I figured if anything needed following up on, we should have original pictures. Sure the scene had clearly been contaminated by wildlife, but the higher powers would want evidence. I had moved on from photos of the bodies and was photographing the door, well what was left of the door, when the doctor said the strangest thing. He said the young Hadji boy was under his mother, and that he had a pulse? I had hoped that if Samir wasn't dead then at least he wasn't in the house when the attack occurred. No such luck. Together, the doctor and I, we shifted Nadia’s body as carefully as we could. Under her it was clear Samir had been torn, the doctor said it looked like the same kind of marks that were on his parents. It was a miracle he was still alive, I know not all the blood was his but those cuts on his chest looked deep, I was sure he didn't have long.

Reece: Your mother… you were stuck under her

Samir: I mean… I can’t remember much of that, I think I’d been in and out of consciousness for too long to take stock of anything *sighs* has it mentioned Greenway again

Reece: Yeah, down here, hold on

I called out to Greenway who had been tasked with taking pictures of the outside damage and setting up a cordon. The doctor said we had to get the boy to a hospital, that the local clinic might not be enough. I instructed Greenway to call for a helicopter but upon entering the house and seeing the bloodied boy squirming he… contaminated the scene. The helicopter arrived and I helped the doctor carry Samir, who was now crying and trying to push off the material stopping the bleeding. When he was off safe I had Greenway inform the local social worker while I continued cataloguing evidence alone. He contaminated the scene once, I wasn't about to let him lose his insides again. Still can't get the boys wild eyes out of my head though, that poor kid's all alone now.

Reece: This bit makes it sound like… you nearly died

Samir: *shrugs* That’s true. They said…

Reece waits patiently while Samir gets his words sorted in his head

Samir: They said ommi’s weight on my chest stemmed the blood enough to stop me bleeding out. It’s... not exactly the best pillow talk you know

Reece: I’m so sorry

Samir: *sniffs* Is there anything else in there

Reece: Yeah umm... Coroner’s reports, photocopies of pictures that I do not want to look at right now. Here we go, sheriff’s concluding statement. I guess that's kind of like an inquest

I have talked to the doctor and the local rangers. It seems clear to us that no man committed this crime. The violence was too severe, and too random, to have thought behind it. Doctor determined the victims suffered claw and bite marks, had to be a large predator. I inquired if the damage could have been done with tools, a butcher knife or scythe or something, watcher knows there are enough amateur hunters in the area. Doctor could see no evidence to support the conclusion that instruments were used though. With that knowledge I have determined the most likely culprit was a rogue bear, no other predators would have the strength to smash the door in such a fashion. I know the rangers doubt a bear would wander inside a house but agree bears can hunt down prey. This time the prey was just our citizens. Greenway is keen to support this conclusion, saying he had seen bear attacks like this before-

Reece: Wait, that’s not right

Samir: What isn’t?

Reece: When I was in distracting Captain... he said he’d never seen anything like that crime scene before

Samir: Yeah. That's what he said when I reminded him he vomited

Reece: But in here it says he told the old sheriff he had seen bear attacks that looked the same

Samir: *sighs* Thank the watcher for you blondie, I knew you’d find something. I know sheriff Giles thought it couldn’t have been a person but it must have been. I mean I can't imagine Greenway lying to protect a rogue bear

Reece closes the file, putting it back on the table. He hold Samir's hand, tracing patterns on the back with his other.

Reece: I just wish I could go back and comfort you. Samir you must have been so scared

Samir holds Reece's hand to his mouth and kisses it softly.

Samir: Pretty sure I wouldn’t have been in the mood to humour a talkative 3 year old, even one as cute as you

He puts his arm around Reece who snuggles closer.

Reece: You knows what I mean. I’m so glad you survived it

Samir smiles, kissing Reece on the forehead again.

Samir: Yeah, I’m pretty glad I survived it too. Now, good boys that find leads deserve rewards

Reece: So you’ll let us-

Samir: Go to the romance festival

Reece: *pouts* well that’s a good second option I guess

Reece: This tea tastes good

Samir: What’s in it

Reece: I don’t really know. It can’t have any alcohol since it’s a free for all

While Reece continues to speculate what might make the drinks, and themselves, glow Samir took a moment to relax. The past would be solved eventually, tonight he just wanted to be in the moment with the guy he loved. When Reece declared his intention of raiding the gardens for their own stock Samir took the opportunity to approach the romance guru. He didn't believe much in superstitions and fortune tellers but when in Rome.

After the guru assured him the future was bright Samir approached Reece’s mum who was here selling some of her lower level work.

Samir: *clears throat* Reece’s birthday?

Kayleigh: Don’t worry. Harvey and I figured you two will probably want your space tomorrow, I promise you won’t get swarmed by every Foster in the save

Samir: *chuckles* thanks. Umm… Monday... not busy... if you…

Kayleigh: Say no more, we will be there! Will we get to meet your mum and brother

Samir: Umm… crowds are…

Kayleigh: I understand, Keira is just the same. But Harvey and I would love to meet them sometime if you can arrange it, since the two of you are living together and all

Reece: What were you talking to mum about

Samir: Oh I said she and your family should come over on Monday

Reece: You? Inviting people over? People plural?

Samir: I know your family are close and I don’t want that to stop just because I can only tolerate people in small doses

Reece: Except me

Samir: Except you. I gladly have you in large doses

Reece: *gleefully* What a concidence, I enjoy your large doses

Samir: *smirks* Do you now?

Samir brushes Reece's hair behind his ear and leans in to whisper.

Samir: Imagine, a pretty blonde piece like you enjoying my "doses"... in you... on your-

Reece: *playfully* Excuse me Mr Hadji but that talk sounds rather forward and I’m under strict instructions not to get off until my birthday so unless you want me to fail you’ll need to dial it back

Samir moves back smiling proudly.

Samir: *chuckles* Good boy, you pass even if you are flushed, but I do love that colour on you. Let’s go get some food

Samir orders food for them, barely taking his eyes off Reece. When they sit down Samir begins to dig in happily before noticing that Reece is letting out sighs of frustration. Normally he enjoys those sounds, but that's when he's the cause of them.

Samir: Blondie, what are you doing

Reece: It’s these wooden things! How does anyone eat with them

Samir: The chopsticks? Relax, you’re a genius, you’ll figure it out

Reece: Charlie and Kaori make it look so easy!

Samir: Are you-

Reece: Yes! I’m stabbing the food to make it cooperate

Samir watches Reece as he attacks his food, and smiles. He's got most of the morning planned already but he does like running it over in his head to make sure he's thought of every variable.

The pair arrive home still glowing, but before they can sleep Samir has a gift.

Samir: I know there were a bunch of flowers at the festival, and many of them are more symbolic of love but… yellow is your favourite colour so I wanted to get you a chrysanthemum

Reece: Aww, I love it. I’m afraid I just got you the traditional rose

Samir: Hey blondie, I’ll happily take anything you give me

Reece: *giggles* normally I’m the one saying that

Samir: *chuckles* okay Mr smut for brains, time to go to sleep before you wind your self up

Reece: Do we have to boss?

Samir: Trust me, you are going to need your energy for tomorrow

Previous Part ... Next Part

[esquescapist]

(For shorter read, skip all the parentheses and only read first two paragraphs)

Okay I've made another one. For some reason I blended together her scales and her hair ( its supposed to be water-like, hope that shows! ), so theres that.

She's sorta based on a (Super Delta??? idk i found the image I used for ref didnt tell me what breed) Betta fish. (Betta fish r cool btw) In my head, she had a sort of blue color palette and her variant of Harvester is based on coral and fish and mermaids so I first searched up coral. Then, when I found the image I anted to use, I color-picked one of the colors from it, I searched up what it was called. I searched up fish in that color, and chos the first one that matched the color sorta. I use the color of the fish as a base for the tail and fins, which was. Fun.

Also, this can also lead for me to explain how Harvesters (and Soulcatchers) age. They can live for around 3000-4000 years at least. They also age as a child in a way that I've always thought of in a way thats like 'how i understand/understood the wings of fire ageing but times ten' (8 being adulthood, but I searched it up for verification and found this post by I Found Out How to Calculate WoF Human Age by Hurricane-Rising on DeviantArt that made alot more sense). So I don't have to explain the childhood ageing more than that, I think. And then, their ageing is REALLY slowed down. It uhm. Doesnt have any accurate math ( atleast that I can do, I struggle at math cause i ignored all my (online) lessons in the entirety of 6th grade and start of 7th and then the teacher I got was not the right one for me to be learning from I think bc I could hardly understand what he was teaching until the end of the subject ). BUT! It does make snse in the way I put it bc the ageing gets slowed to a point where when they reach 1000 years of age, they're around theyre 30s. Then, you just sorta add by 1000 and add by 20 ( 1000->2000, 30->50 for ppl who might not understand that w/o context like me ). I realized this makes a lot of sense for the 'age tables' I have defined bc then the 3000-4000 would allign with typicall human ages of commonly being 70-90.

And for the personality traits listed there, shes 1. Not existed as long as an OC like Malakyte (OMFG ITS SPELT WITH A CH) for me to actually try and pin down what the personality traits she has are called and 2. I'm really REALLY bad with actualy pinning down the personality traits I have for my characters. So. I kinda looked up different kinds of personality traits and listed the ones I thought she had based off how she is in my mind. If anything I make in the future contradicts the traits I listed here, I would love it if someone were to tell me. :)

Anyways, thats kinda it for now. I'm really proud of her design, and hope someone who sees it likes it too!! :D

[bigbangbuffer]

today’s irregular terrence update is that he has been asked to teach a class on magic. on day 1 he showed up exactly 14 minutes and 59 seconds late, immediately chugged a mug of cocaine-laced tea, insulted the whole class, and then asked them to solve a really nasty triple integral. many of them don’t even know their multiplication tables. they have not cast a single spell yet. terrence firmly believes you need thermodynamics to do fire magic, and you need differential calculus to do thermodynamics, and you need algebra to do differential calculus, and you need basic arithmetic to do algebra, so so far it is just the math crash course from hell. he assigned them a mountain of homework, but he will learn the error of his ways quickly once he realizes he’s going to have to grade it. his students despise him. he’s hoping they’ll drop out tbh, but I rolled a nat 20 on an arcana check for the effectiveness of his lecture, so in spite of it all, they are learning, somehow.

[aimshala1]

Easy Study Hacks That Actually Work for Exams

Ever opened your book and felt your mind just go blank?

Or reread the same sentence ten times without understanding a word?

You’re not alone.

At Aimshala, we believe in learning smarter — not harder. Whether you’re preparing for board exams, college entrance tests, or competitive exams, these practical student learning tips can help you stay focused, retain information, and study with confidence.

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Here are the easy study hacks that actually work — and many students rely on them to improve their scores.

1. Break Big Topics into Small Chunks

Trying to complete an entire chapter in one sitting often leads to stress and confusion. A better approach is to break the content into smaller sections.

Study one concept at a time instead of an entire unit.

This helps in better understanding and easier revision.

Example: Instead of trying to study the entire “Photosynthesis” chapter, start with “Light Reaction” first.

Student insight:

“When I broke chapters into 20-minute bits, I stopped feeling overwhelmed. It started to feel possible.” — Ravi, Class 12

2. Use Memory Tricks Like Acronyms and Rhymes

To remember facts, formulas, or lists, use fun and creative memory tools like acronyms or rhyming phrases.

These tricks help the brain retain information more easily.

They are especially helpful during quick revision before exams.

Examples:

PEMDAS (Parentheses, Exponents, Multiplication, Division, Addition, Subtraction) for math operations.

“My Very Educated Mother Just Served Us Noodles” to remember the planets.

3. Study in Short, Focused Time Blocks

Studying for hours without breaks leads to fatigue. Instead, use the Pomodoro Technique:

Study for 25 minutes

Take a 10-minute break

Repeat the cycle

This helps maintain concentration and prevents burnout.

Example:

25 minutes of Chemistry → 10-minute break → 25 minutes of English

4. Revise Daily Instead of Cramming

Revision should be a regular part of your study schedule, not something you leave until the last day.

Spend a few minutes daily reviewing what you studied.

This improves retention and lowers exam anxiety.

Example:

Spend 15 minutes revisiting notes from the previous day before starting a new topic.

Student insight:

“Just 10–15 minutes of daily revision made my final prep super smooth.” — Meenal, NEET Aspirant

5. Teach Someone Else to Boost Understanding

Teaching a topic to someone else is one of the best ways to test and strengthen your understanding.

You learn better by explaining concepts in your own words.

It helps identify gaps in your knowledge.

Example:

Explain Newton’s Laws using real-life examples like pushing a toy car or throwing a ball.

6. Sleep and Breaks Help Your Brain Remember More

Lack of sleep reduces concentration and memory. Prioritize rest during your study schedule.

Sleep allows your brain to process and store new information.

Regular breaks improve focus during long study sessions.

Example:

Study till 10 PM and sleep by 11 PM instead of staying up till 2 AM.

7. Use Visual Tools Like Mind Maps or Flashcards

Visual tools are highly effective for understanding and memorizing difficult topics.

Mind maps help organize complex ideas.

Flashcards are great for quick reviews of key terms or formulas.

Example:

Create a mind map to understand causes of the French Revolution.

Use flashcards for physics formulas or vocabulary words.

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8. Set Up a Distraction-Free Study Space

Your study environment has a big impact on your concentration.

Choose a quiet and clean space to avoid distractions.

Keep your phone silent or out of reach.

Tips:

Declutter your study table.

Use noise-canceling headphones if needed.

Avoid studying near a TV or other distractions.

9. Find Your Peak Study Time

Everyone has a time of day when they feel most alert. Identify your best time and schedule tough subjects accordingly.

Morning people can study difficult subjects early in the day.

Night owls may prefer studying in the evening.

Example:

If you’re most alert in the morning, study Maths then, and keep lighter subjects like English or History for the evening.

10. Use Motivation, Not Guilt

Studying out of fear or guilt creates pressure. Instead, study because you’re investing in your future.

Set clear goals and stay inspired by your own progress.

Remind yourself why you’re putting in the effort.

Tip:

Place a motivational quote or note near your study area:

“I’m doing this for my future.”

Final Thoughts

These easy study hacks are not just simple tricks — they are effective habits that can improve your learning experience. Try them out, adapt what works best for you, and make your exam preparation smoother and more productive.

At Aimshala, we believe every student has the power to succeed — not by studying harder, but by studying smarter.

For more smart learning strategies, career guidance, and success stories, visit Aimshala.com — your trusted study buddy.

[acfeindia]

Mastering Multiplication Table of 4 - Easy Tables for Beginners

Learning tables are like memory games. We try to memorise numbers. During childhood, when we do it we make it a play. But the significance of it appears everywhere in the career. It helps in improving speed during competitive exams or day to day operations. So, let us become experts. Let us learn some insights about table 4.

How the Table of 4 Works:

Think of multiplication as repeated addition!

4 × 1 = 4 = 4

4 × 2 = 4 + 4 = 8

4 × 3 = 4 + 4 + 4 = 12

4 × 4 = 4 + 4 + 4 + 4 = 16

4 × 5 = 4 + 4 + 4 + 4 + 4 = 20

4 × 6 = 4 + 4 + 4 + 4 + 4 + 4 = 24

4 × 7 = 4 + 4 + 4 + 4 + 4 + 4 + 4 = 28

4 × 8 = 4 + 4 + 4 + 4 + 4 + 4 + 4 + 4 = 32

4 × 9 = 4 + 4 + 4 + 4 + 4 + 4 + 4 + 4 + 4 = 36

4 × 10 = 4 + 4 + 4 + 4 + 4 + 4 + 4 + 4 + 4 + 4 = 40

Multiplication Table Of 4 on words:

4 × 1 = 4 — 4 ones are 4

4 × 2 = 8 — 4 twos are 8

4 × 3 = 12 — 4 threes are 12

4 × 4 = 16 — 4 fours are 16

4 × 5 = 20 — 4 fives are 20

4 × 6 = 24 — 4 sixes are 24

4 × 7 = 28 — 4 sevens are 28

4 × 8 = 32 — 4 eights are 32

4 × 9 = 36 — 4 nines are 36

4 × 10 = 40 — 4 tens are 40

Have you heard of leap year? Did you know leap year is multiple of year like 2012, 2016,2020, 2024…etc.? table of 4 is just an addition of a number 4 times to itself. Anything multiplied with 4 becomes an even number because 4 itself is an even number.

💡FAQs

1.How often should I practice my tables?

Regular practice — even 10–15 minutes daily — will help you memorize tables faster and retain them longer.

2.Is it okay to skip difficult tables?

No! Every table is important because they all connect to other math skills like division, fractions, and algebra. With practice, even “harder” tables become easy.

3.What are some fun ways to practice?

✅ Chant them aloud

✅ Write them out

✅ Play multiplication games or quizzes with friends and family

✅ Use math apps or puzzles

4.Should I memorize tables up to 10 or 12?

It’s helpful to memorize up to 12 times so you can quickly do math even in higher grades.

5.My child struggles with math. Can ACFE help?

Definitely! ACFE Learning Centre offers customized programs to make math simpler, enjoyable, and stress-free. Our trainers work with children one-on-one to build confidence.

6.When is the best time to practice math at home?

A short practice session after school or before dinner — when your child is not too tired — is usually most effective.

🌟 Learning Made Fun at ACFE

At Abacus Centre for Excellence (ACFE), we help children master math in a fun and engaging way. Our expert trainers and proven methods will build your child’s confidence, making them quick and accurate in their calculations. Join us to give your child the skills they need to succeed!

• Book a free trail class now!

To know more ;

contact 9901993604 / 9845345044

acfeindia@Gmail.com.

www.acfeindia.in

📍 Cox Town 📍Kammanahalli 📍Cooke town 📍RT nagar 📍 Residency Road 📍Kalkere 📍Electronic city 📍St John’s road 📍Thippasandra 📍Kothanur 📍Mathikere

[shielddefenceacademy24]

NDA Maths Shortcut Tricks

NDA Maths Shortcut Tricks by Shield Defence Academy

Cracking the NDA exam isn’t just about studying hard—it’s about studying smart. One area where this really applies? Mathematics! With 120 questions and just 150 minutes, time is your biggest enemy. That’s where NDA maths shortcut tricks by Shield Defence Academy become your best friend.

These tricks are more than just time-savers—they’re confidence boosters. Let’s dive deep into how Shield Defence Academy helps you conquer NDA Maths like a pro using shortcut techniques that are tested, proven, and loved by hundreds of successful NDA cadets.

https://shielddefenceacademy.com/wp-content/uploads/2025/06/NDA-maths-shortcut-tricks-by-Shield-Defence-Academy.jpg

📘 Understanding the NDA Mathematics Exam

The Mathematics paper in NDA carries 300 marks with 120 questions. Topics range from Algebra, Geometry, Trigonometry to Statistics and Mensuration.

Key things you should know:

Time limit: 150 minutes (That’s barely over 1 minute per question!)

Negative marking: Yes, ⅓ mark is deducted for every wrong answer.

Questions difficulty: Moderate to high, but with the right tricks, it becomes manageable.

⚡ Why Shortcut Tricks Are a Game-Changer

Imagine solving a quadratic equation in 10 seconds instead of 2 minutes. That’s what NDA maths shortcut tricks do—they cut through the fluff and give you sharp, direct solutions.

Here’s why they work:

Speed: Beat the clock with rapid methods

Clarity: Avoid complex calculations

Confidence: No more last-minute panics!

Shield Defence Academy knows this secret and teaches you to use shortcuts smartly, not blindly.

🎯 NDA Maths Shortcut Tricks by Shield Defence Academy

At Shield Defence Academy, maths isn’t about rote memorization—it’s about strategy. Their math mentors use real-time blackboard tricks, rapid-fire quizzes, and mini-tests to help cadets master shortcuts.

You’re not just learning tricks. You’re understanding where, how, and why to apply them.

Let’s break down the magic:

🧮 Arithmetic Shortcuts

Addition/Subtraction:

Use “round and compensate” for fast mental addition. Example: 498 + 247 → (500 + 247) – 2 = 745

Multiplication:

Vedic Maths: Cross multiplication method for numbers near base (100, 1000).

Example: 104 × 106 → Use (Base = 100): 100 + 4 × 100 + 6 = 110 + (4×6) = 110 + 24 = 11024

Division:

Use reciprocal tricks for dividing by common numbers like 5, 25, 125.

📐 Algebra Shortcuts

Identity Simplification: a² – b² = (a – b)(a + b) saves tons of time

Solving Linear Equations: Cross-multiply trick for two-variable linear equations.

Quadratics: Shortcut formula method: Use constant/product and sum/middle term logic.

📏 Geometry Shortcuts

Area of triangle using Hero’s formula (only when sides are given)

Memorize shortcuts for Pythagorean triplets

For angles: Use “sum of angles in polygon = (n-2)×180°” instead of lengthy calculations.

📐 Trigonometry Shortcuts

Create your own mnemonic to remember sin/cos/tan tables.

Learn co-function identities: sin(90° – θ) = cos(θ)

Solve expressions like sin²θ + cos²θ = 1 in less than 5 seconds!

📊 Mensuration Shortcuts

Cylinder Surface Area: 2πr(h + r) Remember the formula like a chant!

Cube Diagonal Trick: √3a

Cone Volume: Just remember 1/3 × base × height

📈 Statistics and Probability Shortcuts

Mean shortcut: Use (Σx)/n, but estimate first to avoid heavy calculations

Probability: Focus on favorable cases over total cases—use logic instead of formulas when possible.

🔢 Number System Tricks

Divisibility Rules:

3: Sum of digits divisible by 3

11: Alternating sum of digits divisible by 11

Last Digit Trick:

Powers of numbers (like 7⁴) – Use cycles!

HCF/LCM:

Use product method: (HCF × LCM = Product of numbers)

📆 Daily Practice Strategy Using Shortcut Tricks

Here’s a sample 2-hour daily plan:TimeTask30 minsRevise 5 shortcut tricks30 minsApply tricks to 20 previous-year NDA questions30 minsMock test (speed round)30 minsAnalyze mistakes and improve application of shortcuts

🧪 NDA Maths Shortcut Tricks in Mock Tests

Shield Defence Academy’s in-house mock tests are designed to test your speed with shortcut methods. In fact, their mock series now highlights questions that can be solved using NDA maths shortcut tricks.

Example: Student Ravi Sharma improved his math score from 97 to 141 within 45 days just by applying shortcuts correctly in tests.

🎓 Why Join Shield Defence Academy for NDA Maths

Faculty: Ex-Defence personnel and IIT/NDA alumni as maths trainers

Methodology: Practical + Smart learning

Environment: Peer competition, daily quizzes, doubt sessions

Result Track Record: 1000+ NDA selections in last 5 years

📚 Bonus: NDA Maths Shortcut Tricks PDF Guide

Shield Defence Academy offers a free PDF e-book filled with:

100+ tricks and shortcuts

Practice questions with solutions

Formula charts and cheat sheets

How to get it? Visit their official website or walk into any Lucknow branch.

✅ Conclusion

If you’re serious about cracking NDA Maths with speed, precision, and confidence, NDA maths shortcut tricks by Shield Defence Academy are your ultimate weapon. These tricks not only save time but also help you stay calm and sharp during the exam.

With a proven system, dedicated mentors, and structured daily plans, Shield Defence Academy ensures you don’t just learn math—you master it. Because at the end of the day, NDA isn’t about who studies the most—it’s about who solves the smartest.

[geniustutorials]

How to Prepare for Quantitative Aptitude for IPMAT 2026

The Quantitative Aptitude section of the IPMAT (Integrated Program in Management Aptitude Test) plays a crucial role in determining your final score and admission to top IIMs like IIM Indore and IIM Rohtak. Known for its conceptual depth and tricky application-based questions, this section often becomes a deciding factor for many aspirants.

To excel in IPMAT 2026, students must develop strong calculation skills, clear conceptual understanding, and smart time management strategies. From Algebra and Number System to Time-Speed-Distance and Data Interpretation, each topic demands focused preparation and consistent practice.

Whether you’re attending IPMAT coaching online in Delhi NCR, studying at a local institute, or following self-study routines, building the right foundation in Quant is essential. Institutes like Genius Tutorials, recognized as the best coaching for IPMAT in Delhi NCR, emphasize not just solving problems, but understanding patterns, improving accuracy, and building speed which is exactly what you need to ace this section.

If you’re aiming for IIM after class 12, here’s how you can build a rock-solid preparation plan for Quantitative Aptitude and gain the competitive edge you need.

Understanding the IPMAT Quantitative Aptitude Section

The Quantitative Aptitude section in IPMAT mainly checks your mathematical problem-solving ability, logic, and time management skills. It typically includes questions from the following topics:

The questions are a mix of MCQs (Multiple Choice Questions) and short answer type questions, and the difficulty level is generally higher than school-level maths.

Step-by-Step Strategy to Prepare for Quantitative Aptitude

1. Build Strong Basics

Start with strengthening your fundamentals. Use NCERT books (Class 9 to 12) for basic understanding. Ensure you’re comfortable with basic operations, formulas, and concepts.

Tip: Revise tables, squares, cubes, and percentage-to-fraction conversions. This helps in faster calculations.

2. Follow a Topic-Wise Study Plan

Break your preparation into small parts. Dedicate 2–3 days for each topic initially, depending on your comfort level.

Example Study Plan:

Stick to the schedule and revise weekly.

3. Practice Daily

Solving questions daily builds speed and accuracy. Begin with easy problems, then move to moderate and difficult levels.

Use previous year papers.

Practice IPMAT mock tests weekly.

Try to solve 20–30 QA questions daily.

If you’re struggling with consistency, consider joining the best coaching for IPMAT in Delhi NCR, Genius Tutorials offers expert support and doubt-solving.

4. Understand the Tricks and Shortcuts

Shortcuts help in saving time during the exam. Learn Vedic Maths techniques, approximation methods, and elimination strategies.

Learn to eliminate options.

Understand when to guess and when not to.

Avoid long calculations where estimation works.

Genius Tutorials, offering IPMAT coaching online in Delhi NCR, covers smart techniques and time-saving hacks in their live classes and workshops.

5. Take Mock Tests and Analyze

Mock tests simulate the actual exam environment. Take sectional mock tests and full-length IPMAT mock tests every week.

After every mock, analyze your performance.

Identify weak areas and improve them.

Track your progress regularly.

6. Clear Doubts Immediately

Don’t pile up your doubts. If you’re preparing alone, refer to YouTube videos or forums. But for best results, enroll in a reputed IPMAT preparation coaching in Delhi NCR where mentors can help you 1-on-1.

Key Tips to Crack Quantitative Aptitude in IPMAT 2026

Time Management: Divide time wisely. Don’t stick to one tough question for long.

Accuracy Over Attempt: Focus on solving correctly. IPMAT has negative marking.

Short Notes & Formula Book: Maintain a notebook with all formulas and shortcuts.

Revision: Weekly revision is a must to keep concepts fresh in your mind.

Stay Motivated: Keep your final goal in mind-admission to IIM-and stay focused.

Benefits of IPMAT Coaching Online in Delhi NCR You Shouldn’t Ignore

While self-study is effective, coaching offers:

If you are looking for the best coaching for IPMAT in Delhi NCR, Genius Tutorials provides offline and online batches, expert mentors, mock test series, and result-oriented programs. They also offer IPMAT coaching online in Delhi NCR, perfect for students who prefer learning from home without compromising on quality.

Join Genius Tutorials — The Best Coaching for IPMAT in Delhi NCR

Genius Tutorials is widely known for its IPMAT preparation coaching in Delhi NCR. With experienced faculty, interactive classes, and personalized attention, it’s the go-to place for serious aspirants.

Why Choose Genius Tutorials?

Proven track record of results

Topic-wise lectures and practice

Personalized mentorship

Live + recorded classes

Daily doubt sessions

Ready to crack IPMAT 2026? Join Genius Tutorials — the best coaching for IPMAT in Delhi NCR today!

FAQs — Quantitative Aptitude for IPMAT 2026

Q1. How tough is the Quant section in IPMAT?

The Quantitative Aptitude section is moderately to highly difficult. It requires strong fundamentals and quick problem-solving skills.

Q2. Can I crack the IPMAT without coaching?

Yes, but coaching helps you stay disciplined, get expert support, and practice with high-quality questions. For best results, combine self-study with the best IPMAT coaching online in Delhi NCR like Genius Tutorials.

Q3. How many questions should I practice daily for Quant?

Start with 20–30 questions per day. Gradually increase the number and practice mixed topic questions once basics are covered.

Q4. Is 6 months enough to prepare for IPMAT Quantitative Aptitude?

Yes, 6 months is sufficient with proper planning, regular practice, and mock test analysis.

Conclusion

Preparing for Quantitative Aptitude in IPMAT 2026 needs focus, regular practice, and the right guidance. Stick to the basics, follow a study plan, take mock tests, and stay motivated. With support from the best coaching for IPMAT in Delhi NCR, your dream of getting into IIM can become a reality.Want to boost your IPMAT score? Join Genius Tutorials’ IPMAT coaching online in Delhi NCR and start your journey towards success today!

Originally published at https://www.geniustut.com on June 5, 2025.

[kyodesyo]

Compulsory Education and Poverty Reduction: Lessons from the Successes of Taiwan and Kenya

In 2023, approximately 4.8 million children under the age of five died worldwide, which calculates to about 13,100 deaths per day. Behind this reality lies a lack of education, low quality of education, and the resulting cycle of poverty. This article examines the relationship between education and poverty, as well as measures to break this cycle, based on the latest data and examples.

Table of Contents

1. Current Status of Child Mortality and Poverty

2. Quality of Education and Teacher Absenteeism

3. Efforts to Connect Hope

4. What We Can Do

5. The Future of Society Changed by Compulsory Education: Lessons from Taiwan and Kenya

1. Current Status of Child Mortality and Poverty

Background and Reality

Every day, 13,100 children around the world die before reaching their fifth birthday. This equates to about 545 children per hour, or 9 children per minute.

In 2023 alone, approximately 4.8 million young lives were lost. This number is equivalent to about three times the total population of children aged 0-4 in Tokyo's 23 wards. Particularly in Sub-Saharan Africa, the mortality rate for children under five is more than 15 times that of developed countries.

Many of these deaths are caused by preventable diseases such as pneumonia, diarrhea, and malaria, or complications during childbirth that could have been prevented with proper medical care. In fact, 82% of these deaths are classified as "preventable." Lives that could be saved through relatively simple measures like vaccinations, access to clean water, and basic medical knowledge continue to be lost in large numbers.

Impact of Poverty

But why do such tragedies persist? The root cause lies in the structural issue of poverty.

Access to medical care and sanitary conditions is often lacking due to poverty. According to World Bank data, it is estimated that about 700 million people live in extreme poverty, surviving on less than $1.90 a day. In such households, it is often impossible to afford transportation to medical facilities even when illness strikes.

Families in poverty often lack access to safe water, adequate nutrition, and basic medical services. According to UNICEF reports, approximately 771 million people lack access to basic drinking water services, and about 2 billion live in environments where safely managed drinking water is unavailable. Additionally, about 45% of deaths among children under five are associated with malnutrition.

Even more serious is the fact that poverty perpetuates across generations. Malnourished children face developmental hindrances and limited educational opportunities. This creates a negative spiral where they cannot escape poverty, and the next generation suffers the same fate.

2. Quality of Education and Teacher Absenteeism

Importance of Education

Education is considered the most powerful means of escaping poverty. According to UNESCO studies, children who complete basic education are estimated to earn 10-20% more in the future compared to those who do not. However, merely attending school is insufficient; without guaranteed quality of education, the benefits are halved.

A particularly serious issue is teacher absenteeism in developing countries. World Bank research indicates that the average absenteeism rate for teachers in Sub-Saharan Africa reaches 44%, while in rural India, 25% of teachers are routinely absent. It has become common for children to attend school but miss classes 2-3 days a week.

In such circumstances, even if enrollment rates improve, it does not translate into actual learning outcomes. One survey found that 75% of third graders in rural primary schools cannot read simple sentences, and 60% cannot solve basic math problems.

Situation of Teachers

The background of teacher absenteeism includes severe issues related to unpaid salaries. In many developing countries, it is common for teachers' salaries to be delayed for months, with some teachers not receiving pay for over a year. In such situations, teachers are forced to spend time on side jobs, resulting in a vicious cycle of declining quality of education.

Moreover, harsh working conditions are a significant factor. Overcrowded classrooms with 80-100 students are not uncommon, and there is often a lack of teaching materials and supplies. Many rural schools lack basic infrastructure like electricity and water, forcing teachers to work in environments that do not meet even the minimum educational standards.

Transportation infrastructure is also a serious issue. In rural areas, public transport is nearly nonexistent, and teachers often have to walk for hours to commute...

(Continued)

3. Efforts to Connect Hope

Examples of Initiatives

To break the cycle of educational inequality and poverty, international organizations, NGOs, and governments are collaborating on various innovative initiatives. UNESCO's "Education for All" program has established a continuous training system for current teachers to enhance their professional skills. Notably, the "Teachers for Teachers" model incorporates experienced teachers mentoring new teachers.

In response to salary issues, the World Bank's "Results-Based Financing" program has proven effective. This system determines salaries based on teachers' attendance and students' learning outcomes, resulting in a reduction of absenteeism rates from 30% to 5% in some regions. Furthermore, comprehensive measures such as housing allowances and commuting support have been implemented to improve the conditions for rural teachers.

In Kenya, a community school revitalization program has achieved success. By involving local residents directly in school management and monitoring teachers' attendance, the collaboration between teachers and parents has strengthened, significantly improving the quality of education. This model is now spreading to other African countries.

Utilization of Technology

The educational revolution utilizing digital technology has made it possible to provide learning opportunities that transcend geographical and economic constraints. In India, the "Digital Classroom" project is underway, using satellite communication to deliver lessons from outstanding urban teachers to schools in remote areas. This initiative allows one teacher to conduct classes in multiple classrooms simultaneously, helping alleviate the teacher shortage.

Programs using tablet devices for learning have also shown significant results. In Rwanda, as part of the "One Laptop Per Child" program, AI-equipped learning tablets have been introduced. These tablets automatically adjust the difficulty of questions based on students' understanding, enabling personalized learning. Schools that adopted this program have seen an average improvement of 47% in math scores.

The proliferation of online educational platforms is also remarkable. The "eLimu" platform, used throughout Africa, provides interactive teaching materials aligned with local curricula, designed to enable children to learn independently even in the absence of teachers. This system plays a crucial role in promoting girls' education, allowing for safe learning at home.

An innovative approach is the teacher evaluation system utilizing blockchain technology. This system, trialed in Ethiopia, records teachers' performance and students' learning outcomes on a decentralized ledger, enabling the establishment of a transparent personnel evaluation and reward system. This is expected to lead to appropriate recognition and retention of excellent teachers.

4. What We Can Do

Importance of Action

To change the difficult situations faced by children around the world, the conscious actions of each one of us can have a significant impact. Research by international organizations indicates that sustained public interest and support can prompt policy changes, resulting in increased aid budgets in many cases. For instance, a campaign that gathered 100,000 signatures led to a 30% increase in educational budgets for a specific region.

There are many ways to support these efforts. A monthly contribution of 500 yen can provide one child with textbooks and school supplies over a year. By choosing fair trade products and checking certification marks, you can directly contribute to preventing child labor. Sharing information on social media can reach an average of 150 people per share, helping to raise awareness. Additionally, borrowing related books from local libraries or participating in community study sessions are important first steps in deepening your knowledge.

For a more specialized involvement, volunteering with your skills can be effective. Experienced teachers can provide advice on creating teaching materials, IT-skilled individuals can manage websites, and those proficient in languages can assist with translation work. This "skills-based volunteering" is gaining attention as an effective way to address local needs.

Importance of Education

Education is the most powerful means of breaking the cycle of poverty. According to UNESCO data, children who complete basic education earn an average of 15-25% more in the future, and their children are more than twice as likely to receive an education. This positive cycle is key to poverty reduction.

Indeed, significant achievements have been made over the past 30 years. The mortality rate for children under five has decreased from 93 per 1,000 in 1990 to 38 in 2020, a reduction of 59%. The enrollment rate for primary education rose from 83% in 2000 to 91% in 2018. This progress is the result of the continuous efforts of the international community and the support of the general public.

Current ongoing projects are also showing steady results. In one area, the introduction of a teacher training program has resulted in a 1.5-fold improvement in student academic performance over two years. In another region, the implementation of a school lunch program has led to a 40% improvement in attendance rates. These success stories demonstrate that with appropriate support, change can occur in a short period.

Our actions, even small steps, have the power to change the future. It is essential to find ways to support these efforts starting today and to become part of sustainable change. When individual interests and actions come together, we can create a fairer and more hopeful world.

5. The Future of Society Changed by Compulsory Education: Lessons from Taiwan and Kenya

Impact of Taiwan's Compulsory Education

In 1968, Taiwan's policy to extend compulsory education from 6 to 9 years brought about significant changes in social structure. Ten years after implementation, the enrollment rate for secondary education surged from 58% to 78%, with particularly notable improvements in girls' enrollment. The impact of this educational expansion on the labor market has been immense, with female university enrollment rates surpassing those of males in the 1980s.

The economic effects were also significant; during the 1980s, when the generation benefiting from extended compulsory education entered the labor market, Taiwan's GDP growth rate averaged 8%. Educated women delayed childbirth, leading to a unique social change where both declining birth rates and women's social advancement progressed simultaneously. This educational reform is credited with contributing to the highest proportion of female managers in Asia in contemporary Taiwan.

Kenya's Free Primary Education Policy

The introduction of the free primary education policy in Kenya in 2003 resulted in a 23% increase in the number of enrolled children, from 5.7 million to 7 million overnight. The most notable change was observed in rural areas, where the enrollment rate of girls, who previously bore the burden of household labor, skyrocketed from 47% to 89%. In response to this policy, the government was compelled to quickly construct 40,000 classrooms and hire 80,000 new teachers.

Follow-up surveys 15 years later showed that the generation benefiting from this policy had improved their secondary education enrollment rates by 35%, and changes in urban migration patterns were also observed. Notably, educated girls delayed their average age of first childbirth by 3.5 years, leading to lower birth rates and improved health outcomes. This policy stands as a successful example of breaking the cycle of poverty in a single generation and continues to be a subject of study in many developing countries.

These cases illustrate that changes in education policy not only improve literacy rates but also have the power to transform social structures. The examples of Taiwan and Kenya vividly demonstrate the significant ripple effects of educational investment.

[hagooooorr]

Ship Tank Cleaning

Ship Tank Cleaning

MASTER GUIDE: CRUDE OIL STORAGE TANK CLEANING – THE DEFINITIVE RESOURCE

I. Advanced Sludge Characterization

1.1 Petrochemical Analysis

SARA Fractions (Saturates/Aromatics/Resins/Asphaltenes):

Typical Distribution in Sludge:

math

\text{Asphaltenes} = 15-25\%,\ \text{Resins} = 20-35\%

Rheological Properties:

Yield Stress: 50-200 Pa (measured with viscometers)

Thixotropy Index: 1.5-3.0

1.2 Microstructural Imaging

SEM-EDS Analysis:

Fig. 1: SEM micrograph showing asphaltene aggregates (10μm scale)

Table: EDS elemental composition (weight %)

Element  Fresh Crude    Aged Sludge

Carbon    82-85%  76-78%

Sulfur      1-2%      3-5%

Vanadium       <50 ppm 300-500 ppm

II. Cutting-Edge Cleaning Technologies

2.1 High-Definition Hydroblasting

3D Nozzle Trajectory Optimization:

CFD-modeled spray patterns (Fig. 2)

Optimal parameters:

Pressure: 280-350 bar

Nozzle angle: 15-25°

Coverage rate: 8-12 m²/min

2.2 Plasma Arc Cleaning

Technical Specifications:

Power: 40-60 kW DC

Temperature: 8,000-12,000°C (localized)

Effectiveness: 99.9% hydrocarbon removal

2.3 Nanoremediation

Magnetic Nanoparticles:

Fe₃O₄ core with oleophilic coating

Recovery rate: 92% at 0.5 g/L concentration

III. Operational Excellence Framework

3.1 Decision Matrix for Method Selection

Ship Tank Cleaning

Criteria    Weight    Robotic   Chemical Thermal

Safety     30% 9     6     7

Cost Efficiency 25% 7     8     5

Environmental       20% 8     5     6

Speed     15% 9     7     8

Flexibility 10% 6     9     5

*Scoring: 1-10 (10=best)*

3.2 Gantt Chart for Turnaround

Diagram

Code

IV. HSE Protocols Redefined

4.1 Quantified Risk Assessment (QRA)

Fault Tree Analysis:

Probability of H₂S exposure:

math

P_{total} = P_1 \times P_2 = 0.2 \times 0.05 = 0.01 (1\%)

Where:

P₁ = Probability of gas detection failure

P₂ = Probability of PPE breach

4.2 Emergency Response Drills

Scenario Training Modules

Confined space rescue (5-minute response)

Foam suppression system activation

Medical evacuation procedures

V. Economic Modeling

5.1 Total Cost of Ownership (TCO)

math

TCO = C_{capex} + \sum_{n=1}^{5} \frac{C_{opex}}{(1+r)^n} + C_{downtime}

Case Example:

Robotic system: $2.1M over 5 years (15% IRR)

Manual cleaning: $3.4M over 5 years (9% IRR)

5.2 Carbon Credit Potential

CO₂ Equivalent Savings:

Automated vs manual: 120 tons CO₂e per cleaning

Monetization: $6,000 at $50/ton (EU ETS price)

VI. Digital Transformation

6.1 AI-Powered Predictive Cleaning

Machine Learning Model:

Input parameters:

Crude TAN (Total Acid Number)

BS&W history

Temperature fluctuations

Output: Optimal cleaning interval (accuracy: ±3 days)

6.2 Blockchain Documentation

Smart Contract Features:

Automated regulatory reporting

Waste tracking with RFID tags

Immutable safety inspection logs

VII. Global Regulatory Atlas

7.1 Comparative Matrix

Requirement  USA (OSHA)    EU (ATEX)       UAE (ADNOC)

Entry permits  1910.146       137-2013       COP 48.01

H₂S monitoring       10 ppm TWA  5 ppm STEL    2 ppm alarm

Waste classification D001       HP7 Class 2.1

VIII. Expert Interviews

8.1 Q&A with Shell's Tank Integrity Manager

Key Insight:

*"Our new laser ablation system reduced cleaning downtime by 40%, but the real breakthrough was integrating real-time viscosity sensors with our ERP system."*

8.2 MIT Energy Initiative Findings

Research Paper:

*"Nanoparticle-enhanced solvents demonstrated 30% higher recovery rates in heavy crude applications (Journal of Petroleum Tech, 2023)."*

IX. Implementation Toolkit

9.1 Field Operations Manual

Checklist Templates:

Pre-entry verification (30-point list)

Waste manifest (API 13.1 compliant)

PPE inspection log

9.2 Calculation Worksheets

Sludge Volume Estimator:

math

V_{sludge} = \pi r^2 \times h_{avg} \times \rho_{compact}

Ventilation Calculator:

math

Q = \frac{V \times ACH}{60}

X. Future Outlook (2025-2030)

Autonomous Cleaning Drones (Under development by Aramco)

Supercritical CO₂ Extraction (Pilot phase in Norway)

Self-Healing Tank Linings (Graphene nanocomposite trials)