#arithmetic sequence

[mathswithnarendrasir]

Arithmetic Progression #arithmeticprogression #ap #maths #mathswithnarendrasir

[mistakenlyfoundnico]

we are five days into the new year and i have already read a total of 85 fics, that is 17 fics a day, however most only range from 3000-10,000, to anyone reading this you might be thinking damn this person most have a lot of free time, i have convinced myself that i can stay up an hour later than the night before for the last three nights so i am getting roughly 5 hours of sleep a night so i can read superbat and batfam fics

[pokotate-mc]

song of the spiral

fibonacci sequence, modulo 3, modulo 6, modulo 9, modulo 12, and modulo 15, mapped onto the f# minor scale. Played on note blocks in minecraft

using a lower modulus creates a short ostinato, and as we add in each higher modulus, the music sequence harmonizes with itself

full video here

[bakingmoomins]

one thing about me is i will make you think about the inherent link between math and knitting and crochet

[canpandaspvp]

sorry guys i'm just like. replaying over and over again instead of studying for my damn math test

[nintendont2502]

Sigh. Back to studying

[wailanabutler]

7 Types of Computers

[mysdrymmumbles]

hnnnnnnnngh back to quadratic vertex form

[seat-safety-switch]

When I became a junior detective, I got assigned to work with Detective Math. Bob Math is a legend in the department: he uses arithmetic and problem solving to crack unusually number-specific cases. He's got a nemesis, of course, all the cool detectives back then did. Al Gebra kidnapped his wife once, tried to ransom her for a plane to Mexico. Math didn't stand for it: after figuring out the complex polynomial sequence that revealed the address of the shitty dockside warehouse he was renting, he subtracted a couple of Al's digits using a cleaver.

Thing is, he was all a fraud. One night, while we were riding from one case to another in his beat-to-shit Dodge Rampage, he told me that he never actually graduated high school. Back then you could get away with it, most of the detectives in his generation got there because they had read a book on detective skills by accident while their partner tortured an informant. He didn't know shit about math, in other words. One of the staff sergeants saw him (poorly) doing a Sudoku one day and decided he must be good at math, fast-tracked his detective exam, he was afraid to say no, so now he's "the detective who's good at arithmetic." Math wasn't even his name, either: he took his wife's name in the divorce to keep the scam going.

All this is prologue to the thing that really mattered: our big case. It seemed normal at first, a political corruption thing. "Sorry it's not a numbers racket! Haw!" shouted the chief as he handed out the assignments. Even so, there were still a lot of numbers.

It seemed like the Mayor Himself's Assistant Herself had been helping Herself to some dirty money from various car dealerships in exchange for a favourable ruling from the land zoning department. One of the spoiled rich kids that owned a Chevrolet dealership didn't get what he wanted out of the deal, and blew the whistle. Two days later, he was found dead in a truck stop bathroom, beat to death by a calculus textbook. Math's involved? Get me Bob Math, they no doubt thought. Detective Math was used to it, and he went about the usual pantomime in his role: carrying around an old Texas Instruments calculator with no batteries in it, interrupting meetings in the precinct to measure parts of the room with old bits of string, the whole schtick. Then we went down to City Hall to get a confession.

You guessed it: it was the mayor's assistant's teenage daughter, Becky-Sue, who did in Ted Chevrolet. She was the work-experience hire, selling Topkicks out of the back to her mom's friends, and finally had enough of him skimming her commission. Bob Math sighed as he realized that yet another murder case of his had involved percentage points of a dollar. He would have to put on his fake professor glasses to explain it to the media.

Even so, the press conference went great. The assembled reportage beamed with pride as they hung on every bullshit word of our imaginary arithmetic hero. Something didn't add up, though. I didn't notice that that cameraman in the back, who was missing a couple fingers, until it was too late.

[notbecauseofvictories]

Can you please drop the name of the KJ Parker book involving contracts? A (brief) browse of his works didn’t make it obvious but my silly paralegal heart is intrigued…

So the KJ Parker novellas I'm talking about are primarily Prosper's Demon, Inside Man, and Pulling the Wings off Angels. However, while I did enjoy the others, Pulling the Wings off Angels is my favorite---it should shock no one that I love infernal/heavenly deals, moral arithmetic, and trying to out-lawyer god.

(The other series I'm looking into is published by Parker's alter ego, but still sounds up my alley.)

However, maybe you're asking for the other series that ties legalese to magic---in which case, I would look into the Craft Sequence from Max Gladstone. Admittedly, I haven't read all of it, but Three Parts Dead/Four Roads Cross is one of my favorite duologies, and I could have read about Tara Abernathy, her first job out of law school, and all the headaches (and power, and conniving, and history, truth, fellow feeling) she encounters there, for much more than two books.

[emmkitt]

CONNECTION: LOST AU

(Inanimate Insanity + HFJONE + BFDI)

IVE WANTED TO MAKE AN OSC AU FOR SOOO LONG AND I FINALLY HAVE AN IDEA ahem

shoutout to @somebean81 for helping me figure out some of the details of this. GET READY FOR A LOTTA WORDS

—>”i” is an Algebralien. Within this universe, Algebraliens excell not only in arithmetic, but understanding of the concept of death. The Radio— which exists in The Waiting Room after an object becomes deceased— is monitored and controlled by the Algebraliens, and the sequence of numbers input within the machine determine the universe the object will be transported to.

—>’i’ became enamoured with this technology, but frustrated with the fact they were excluded, as they were not a number themself.

—>’i’ began to experiment with The Radio, managing to hack the systems and create a new input, that being “i”, which would instantly teleport an object to him. Being as the input was figuratively and literally “imaginary,” the only being capable of producing the input was ‘i.’ An object would input a numeric value into The Radio and ‘i’ would hack it before the antennae could be raised.

—>Almost immediately, when strange objects began running about, the other Algebraliens discovered ‘i’s shenanigans.

—>One of the biggest offenses was to tamper with The Radio systems, which led to ‘i’s immediate exile to Earth.

—>As ‘i’ could not appear as an Algebralien on earth, he was forced into an object disguise, that being a character he deemed ‘Steve Cobs.’

—>The Algebraliens had yet to understand simply how Cobs had managed to hack The Radio, and until then, Cobs was able to continue hacking the system. He would only teleport a single object on occassion, as a means of ensuring the Algebraliens would not catch on.

—>A new type of object Soul Cobs had not yet known about was discovered immediately, called a Wandering Soul. Wandering Souls are deceased objects which have existed in The Waiting Room for centuries, leading to the object no longer retaining any idea of their former identity. These souls appear as amorphous blobs and tend to be quite disoriented.

—>Cobs initially felt pity for these souls, and in his first experiment he created a robotic phone-shaped body for one of the souls. The first experiments, however, proved unsuccessful, and the souls were completely destroyed in the process of attempting to ‘revive’ them.

—>After three failed experiments, however, Cobs finally managed to perfect his creation. Mephone4 was the first Wandering Soul successfully revived.

—>Mephone4S, who was created shortly after Mephone4, was another success, however unlike 4, 4S retained the knowledge that he was once dead. 4 was programmed without this memory. When 4S sacrificed himself to save 4 (which ultimately destroyed his soul), Mephone4 received the memories about how he was technically not ‘alive.’ (Cue the existential crisis!), along with some of 4S’s memories.

—>As time went on, Cobs began to program his creations to be less and less human and more robotic in nature, completely stripping the once living objects of their humanity. He figured that would make it easier for him to inevitably send his Mephone creations to get revenge on the Algebraliens.

—>During his quest to find more Wandering Souls, Cobs accidentally teleported a regular soul to his laboratory, that being a copper lantern known as Airy.

—>Cobs debated between simply killing Airy to send him back to The Waiting Room, but the other convinced him to let him live, with the offer of his knowledge of The Waiting Room and The Radio.

—>With his apathetic personality, Airy became a great assistant to Cobs, and proved to be quite intelligent with the technology. Cobs soon programmed robotic enhancements for Airy, as a means of ensuring Airy would not be easy to kill.

—>With the newfound invention of Recovery Centers, the amount of Wandering Souls available was becoming scarce. Cobs, being dead set on his goal, begins to resort to living objects, figuring that any soul should work.

—>Obviously, theres a bit more moral and ethical conflict there, especially since these souls understand who they are, unlike the Wandering Souls, and Cobs was essentially forcing them into a new form and role.

—>The first victim to this was Fan, who was immediately discovered to be missing by Test Tube.

—>One of 4S’ memories which Mephone4 retained was that of Cobs’ plans to resort to living souls to create more Mephones. Initially brushing it aside as a silly dream, Mephone4 realizes this is serious, and that Fan had probably been kidnapped.

—>Next, Tissues and YinYang also disappeared.

—>As a Mephone, Fan (MeFan1) was programmed with the least humanity. He’s essentially a shell of the formerly enthusiastic and friendly object he used to be. Fan was Cobs’ first target, as he has almost unlimited knowledge of the II contestants, which was the only memories Cob’s allowed him to retain.

—>As a Mephone, Tissues (MephoneT) glitches a lot (condishawn) and is deemed a failed experiment by Cobs because of this.

—>As a Mephone, YinYang (MephoneY) was a bit of a tricky case for Cobs. Not realizing that they essentially shared two souls, Cobs wiped their memories and unknowingly only wiped Yin’s successfully. Yang retained their memories, and because of that they talk back to Cobs and refuse to aid in his plans. Yang eventually becomes distressed, as his brother is basically gone.

—>Mephone4 realizes something must be done about this before he can lose more of his contestants. Something involving The Waiting Room and The Radio. However, Mephone4 realized he could not die again, otherwise his soul would not be recoverable.

—>Eventually, an Algebralien is finally sent to earth to investigate after The Radio signals start going haywire. That Algebralien is Two, an Inter-Dimensional Manager, who disguises themself as a kiwi.

—>They meet Mephone4 and the II contestants, who are immediately suspicious of the newcomer. Two ends up disabling their disguise as a means of gaining trust. Mephone4 remains skeptical, but the contestants are desperate to get their friends back and agree to listen to the Algebralien.

—>The plan is simple; A contestant would die to enter The Waiting Room. They would use Two’s notes to defend the radio against Cob’s hacking, and then Mephone4 would recover them.

—>Test Tube was the one who volunteered for the job, as she desperately wanted Fan back.

—>Everything seemed to be going according to plan, however shortly after Test Tube entered The Waiting Room, the II cast were under attack by Cobs and his mephone army.

—>During the fight, Mephone4 ended up sacrificing himself to save Bot. MephoneY (YinYang), as they had some of their memories retained, managed to rebel against Cobs and also died protecting the living objects from the mephones.

—>By successfully disabling The Radio, the Wandering Souls Cobs had collected to create his mephones glitched out, and his army collapsed.

—>In the EPIC FINAL BATTLE!! Two was able to use their power to transport Cobs and Airy (I didnt forget him) to The Waiting Room permanently, with a radio that does not work.

SIDE NOTES:

-When a soul is transformed into a Mephone, living or wandering, the soul becomes no longer recoverable, meaning when they die they’re permadead.

-Test Tube is stuck in The Waiting Room now, sorry :(

-As they were not Wandering Souls when transformed into Mephones, Fan and Tissues did not ‘die’ when The Radio was disabled. However, they are not able to be reverted back to their old form.

-Airy received several robotic enhancements from Cobs.

-Two is one of the head Algebraliens, and is responsible for maintaining balance between universes and managing The Radio systems. This is part of the reason why they are rarely at the equation playground; they’re often bouncing between universes to deal with dimensional nonsense. They have a radio built into their ‘stomach,’ which allows them to quickly travel through space and time.

-Along with Inter-dimensional management and radio system management, Algebraliens all have an object disguise form, and occassionally visit The Waiting Room to help newly deceased objects grow accustomed to the place.

-Other characters not mentioned, such as MePad, other II contestants, etc. DO exist but dont really divert much from their canon lore so I didn’t feel the need to mention them here.

UHHH THATS A LOT. if u have questions about the au feel free to ask im soo normal about this idea you dont even know

[pokotate-mc]

song of the spiral

these are the clips I recorded for backgroun music on my "song of the spiral" video. use the popout player for some music while you scroll, or take a break and listen for a bit.

while trying to decide which note blcok instrument to use for the background music, I discovered how nice note blocks sound when doubled with packed ice + gold blocks. it creates the perfect sound for a pensive mood.

the background music, in theme with the video topic, is also derived from the fibonacci sequence (and lucas sequence) using the same conversion framework.

full video here

[metalheadsforblacklivesmatter]

Hey, love the post you make about obscure disabilities. Could you make/ have you made about dysgraphia?

Sure. This will be my post for disability pride month tomorrow. Which I'm posting now because I don't have the spoons to schedule it for tomorrow.

I hope you don't mind I turn this into a combo one because I have a hard time mentally processing one of these conditions without understanding all three.

(Obligatory I do not have any of these conditions. This is not meant to be a diagnostic tool. Please do your own research. I'm only answering a question that was asked of me and it's really hard for me to explain one of these without explaining all of the similar conditions to differentiate them.)

And I hope that you don't mind my poorer language skills right now I'm recovering from a server sinus headache I've had all day.

Dyslexia vs Dyscalculia vs Dysgraphia (bonus round Dyspraxia)

These issues have like, a 30% comorbidity rate. So if you have one there's a 30% chance you'll have either of the others. People with conditions may be perceived as "slow" but they are not intellectual disabilities (Not that there's nothing wrong with intellectual disabilities. I'm just pointing it out because people will say "you can't have dyslexia. You're so smart.")

But the fact that they're comorbid and often comorbid with autism and adhd causes some misunderstandings around the conditions because people think they have one condition and attribute all of their issues to the one condition with no knowledge that its not just one condition they're expressing.

Dyslexia

Dyslexia is characterized by the limited processing and comprehension of graphic symbols, particularly those regarding language. People with it have poor reading skills, flipping letter sequences and words, and poor handwriting. Although it is a learning disability, it's important to note that dyslexia does not impact a person's intelligence, although they may seem slower due to poor language processing skills. (There's nothing wrong with disabilities that impact intelligence, I just don't want people saying "he can't be dyslexic because he's so smart".)

Many representations of dyslexia often exhibit letters tap dancing across the page, shape shifting, and doing backflips. It's important to note that these are incorrect representations, because it's really hard to give a visual representation of what people with dyslexia experience. However, it's really harmful to express dyslexia in this fashion as it leads to people thinking that they don't have dyslexia when they actually do.

As I understand it, dyslexia is the eyes/ brain being able to flow seamlessly when reading large blocks of text. Ways to combat this is cut out a strip to block off lines when you read them. Use a highlighted strip of paper to highlight lines as you read them.

Fun fact, there's a few fonts that space the letters well enough and differentiate similar letters enough that make it easier to read. Comic Sans font is the most widely accessible accessibility tool for dyslexic people as it's one of the easy to read fonts that on every machine. (These accessibility tools have proven to make everyone read faster, dyslexia or no. But people with dyslexia have found them instrumentalin functioning. )

Another fun fact. Rick Riordan wrote Lightning Thief so that his dyslexic son could have representation in a character that had the same disability as him.

Dyscalculia

Dyscalculia is often called "math dyslexia". People with Dyscalculia have issues with numbers. They have poor math skills, issues interpreting graphs, issues doing basic arithmetic, issues understanding things like place value, issues understanding time especially when it comes to reading an analog clock, and issues seeing patterns. This often causes a high level of anxiety around math. Some reports say these people have issues with directions, remembering locations, and reading maps (though research is inconsistent on that one).

Dysgraphia

Dysgraphia is easy to mix up with dyslexia, which is why I needed to write all these out. Where dyslexia is difficulty reading. Dysgraphia is difficulty writing. Symptoms include difficulty writing words, expressing thoughts in written form, and organizing and processing your thoughts. This can cause issues with social communication for obvious reasons.

These people also may have fine motor perception issues, writing in a straight line, spacing their letters correctly, etc. Especially fine motor skills around writing. They may also have issues with grammar, punctuation, and capitalization.

Bonus Round:

Dyspraxia

This one gets mixed with dyslexia two. Dyspraxia is issues with spacial awareness. They often say they can't tell where their limbs are in space. They may have issues with coordination, walking in a straight line, and balance. It's very hard for me to conceptualize, but people that have it may say that they bang their limbs against things due to poor spacial awareness. Which honestly, relatable. I've slammed me calf into a door before. And my shoulder blade. How? Good question.

These people have issues in social situations because their entire focus will be on their coordination, not making a mess, and not making a fool of themselves, etc. Their issues actually get better when they drink because the stress of sucked situations makes it worse and alcohol loosens them up. (I'm not advocating for drinking, but saying that the issues resolving when your drink validates your dyspraxia, not invalidates it.)

I think a lot of people that know of the condition may think people with low depth perception have dyspraxia. A lot of people have told me they think I have dyspraxia because my lack of depth perception negatively impacts my spacial awareness.

-fae

[studyyblur]

day 33/100

oh god i began my menstrual cycle today and it took up my whole dau, i almost died due to cramps, don't question me ♡

so the entire day, i did nothing but sat with a heating belt bawling my eyes out, but we're good now, i was able to complete the redox lecture and its problem sheet, but i wasn't in the condition to do math at all, but I did do a few questions and i really need to get them done before tomorrow evening anyhow, so the to do for tomorrow goes like this:

lecture 1 on sequence series (arithmetic progression + geometric progression)

solve the rest of previous year problems on complex numbers

solve previous year problems on redox reaction

attend live lecture on complex numbers

[bubbloquacious]

Effortpost registry

On integer multiplication and endomorphism algebras; 2 sep 2024

Recommendations for learning category theory; 28 mar 2024

The hairy ball theorem and stably free modules; 11 feb 2024

Topological connectedness and generalized paths; 24 nov 2023

Graphs as presheaves 3: subobject classifiers; 19 oct 2023

Effortpost registry; 18 oct 2023

Graphs as presheaves 2: limits and colimits; 11 oct 2023

Hydrogen bomb vs. coughing baby: graphs and the Yoneda embedding; 7 oct 2023

Extending the D ⊣ U ⊣ I adjunction sequence; 23 sep 2023

The Riemann rearrangement theorem and net convergence; 18 sep 2023

Thoughts on the axiom of choice; 18 feb 2023

Topological spaces and simple graphs as neighbourhood spaces; 15 feb 2023

What is a space?; 10 jan 2023

The exponential function applied to sets; 24 dec 2022

On nilpotent eigenvalues; 23 dec 2022

But IS the empty space connected?; 11 nov 2022

Monads monads monads; 8 nov 2022

Calculating what the triangle identities mean for a bunch of adjunctions and being amazed when it works every time; 7 nov 2022

Defining the Lebesgue integral as a net limit; 27 jul 2022

Rambles about describable sets; 28 oct 2021

Functions with cycling derivatives; 30 aug 2021

Why the rationals have zero length; 31 may 2021

An infinite cardinal valued random variable; 30 may 2021

A field-based functor; 20 mar 2021

Generalized sides; 13 mar 2021

Rambles about metric convexity; 22 feb 2021

Wiggle function convergence; 28 jan 2021

Rambles about infinity; 5 sep 2020

Generalized golf; 24 jun 2020

Rambles about continuousifying series; 10 may 2020

Rambles about being closed under exponentiation; 7 may 2020

Rambles about the groups that come with fields; 3 may 2020

A compilation of donutified functions; 17 mar 2020

Rambles about arithmetic functions; 24 jan 2020

Graphing real functions on a torus >:); 29 nov 2019