#mathematics example
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Adding and Subtracting Significant Figures

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#studyblr#notes#math#maths#mathblr#math notes#maths notes#science#scienceblr#science notes#significant figures#sigfigs#sig figs#math in science#science math#accuracy#decimals#addition#subtraction#math examples#maths examples#math ex#maths ex#mathematics#mathematics ex#mathematics example#adding sigfigs#subtracting sigfigs
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What are some interesting things that hold in all finite models (of some universal theory) but don't hold in some infinite one? I need some inspiration.
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Surprising absolutely noone except undergraduate math students, it turns out math actually is only about numbers in the end!
#math#mathblr#mathematics#oh so you thought abstract algebra stopped being about numbers to get to more complex structures#and you thought fundamental logic is so abstract exactly because it is more general than just numbers#well guess what#gödel wants to have a word with you#my friend every statement that can possibly be made by humans ever can be made isomorphic to some structure of the natural numbers#even if that structure is a function space of the power set of the power set of the natural numbers#it is possible to write any finite set of axioms as an isomorphism to axioms about the natural numbers#however since the axiomatic definition of the naturals gives you some axioms already it is important to note that for some really fucked up#axiomatic systems you have to explicitly include axioms that prevent you from using thise axioms in sone ways#as in you can't use the set theorethic definition to choose elements of a set for example#you have to choose elements from a set with choice functions constructible from axioms provided#now for making set theory equivalent to the naturals the choice functions you can derive are equivalent to just choosing a natural#but it could be not the case
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actually trying to stop myself from trying to understand this work thing rn like it is BEDTIME u are NOT a hard worker you are NOT someone who brings work home i need to delete every browser from my phone to focus on posting on tumblr and then sleeping
#i just. i wanna understand it 😭 works gonna suck forever if i cant make myself understand it#but everything online is for the mathematics and not the field i need to understand this concept in 😭#like theres not even an example anywhere i can find to just extrapolate smth from
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I forget sometimes that my husband is neurodivergent and my kids are neurodivergent and my mom is neurodivergent and my friends are neurodivergent and then the holidays hit and my Very Neurotypical sister and her Extremely Neurotypical husband visit and I can feel the muscles at the corners of my eyes and mouth shaking as my face pulls itself into a mask.
#like listen i love my sister to death#but her response when i told her i was pretty sure i was autistic#was that i shouldn't be 'going down that rabbit hole' because 'everyone is a little bit different'#and when i try to give concrete examples like y'know the mathematical formula i use in social situations to gauge if i'm talking too much#she doesn't believe me because i never told her about it before#so#yeah
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thanks for answering my question, even if you can't actually answer my question lol. you wouldn't happen to know of any blogs on here i might have better luck asking that question to, do you? i'm just getting a bit desperate in seeking help understanding ir theory since i can't get any formal academic help ha
i dont know anyone specifically who could help but i did a little searching around the internet and think i have tools that could help?
you should drop by r/piracy (honestly everyone should) and go onto their megathread. get the vpn recommended there (i use it its $8 nzd (($5 usd)) a month) if you dont have one and start going through some of the links and categories they have for books and textbooks. when looking for introductory texts on the subject i found these links:
https://www.academia.edu/98974263/Introducing_International_Relations_Concepts_Theories_and_Practices
https://www.e-ir.info/wp-content/uploads/2016/12/International-Relations-E-IR.pdf
https://archive.org/details/an-introduction-to-international-relations-book
I think these textbooks look like good ways to start. they'll have references inside them to other texts you can also look into. If there's no way to download them in full through those links I would advise going to the book section of R/Piracy, selecting annas (i use annas for textbooks usually) or one of the science textbooks hubs and then searching for the textbooks through there + also looking through the hubs there for other texts that might be helpful if these are too dense + texts that are more specific. for example i used this to get base media studies texts in the later years in my study so when it came to spending money on textbooks i could get books specifically on social media regulation in NZ.
good luck! i wish i could help more!
#really if you wanna learn anything but its money preventing you i highly recommend using this reddit and its megathread as a base#from which to launch your learning from#i use them to get knitting/sewing/crochet patterns#books on writing techniques books on intro to engineering and mathematics books on media studies#and then also star trek novelizations and ttrpg books (whole of numenera for example)#very helpful stuff!
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can i be borderline controversial and say that i do think there's a correlation between the love and adoration for the other kings, Leviathan's brutal honesty about grey-morality and involvement in war when you know him as Leviathan, and his lack of worshipers here under that name. the controversial part being that the other kings seem way more into propaganda flourishing and part of why i say that is because ive known both of them and they fucking do that oops hashtag UPG (PVG) spilled outta my pockets there
ie its always people who work for the other kings i see so caught up in how loving and pure the kings and ''demons'' are, and you COULD say that's just because Lev doesn't have many worshipers under that name but I think its more so because when you know "Leviathan" uhhhhh. like you could say lack of lev worshipers = lack of lev propaganda but i think its more so lev isnt going to pretend to be a beautiful siren man in a suit who tells you he loves you so so much even tho he just met you two seconds ago
#there's many factors IMO why we dont see many Leviathan worshipers so much as Shaivites and (insert other names here)#one of which is this but another big factor is. he. doesnt like Chrxstianity in the way that his brothers do lmfao he has other#ways of worshiping him and other labels that arent ''demon'' or occult and reverse-cxtholic aesthetics including latin and#priesthood and whatnot. i love that shit bc travelling to another country to grow up from age 10 and being exposed to the beauty#of cxtholic architecture and worship and aesthetics was cool af it was really like. i love this expression of devotion i love all human#devotion and i love gold and i love SUFFERING lmfao so. im always like oooo aesthetics and hes like. ah. hmm. no thanks#which is NOT to say thats all demonolatry is and IS to say he much prefers in my experience other ways of worshiping him#milk honey and ghee for one fucking example lmfao. flowers thrown into the ocean. blessing horses. traversing the wilderness. storm#chasing. I GUESS THERES A REASON HIS BIG NAMES are Shiva(/Rudra)/Poseidon/Tengri/etc and not Leviathan#as he was saying to me he's... he's not a god found in churches hes overhead at all times at least partially. hes in our dna. hes in the#trees surrounding our towns hes the deer and the wolves and the wild playfulness vs efficient machinery of horses. the rivers and the ocean#the clouds. mathematics. actual machines. i think trying to tie him into like... latin and chrxstian inspired rites and the word ''demon''.#ive said it before. If you catch him in a certain mood he does actually enjoy roleplaying the ''demon'' persona and the antithesis and#undoing of chrxstianity but. hes. not what he is not. listen he LOVES spooking people and if youre spooked by demons... he loves being#intimidating if you want a big tough king that also understands your deep and dark sides and who is intelligent and gentle but Dark#yeah im sure he'll be Leviathan for you but its like. idk. OH THIS IS. THIS IS THE SECOND REASON. THE POST IS ABOUT THE FIRST#THAT I LISTED LMFAOOOOOO#sorry im so in love w him atm let me talk about him please#~abyssal murmurs
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Inigo loves Archie so much it kills him inside :’)
#just pav things#I noticed something about their dynamic. or maybe it’s closer to remembered.#See electric guitar on it’s own is not complete without it’s heartbeat. The drums.#My firm belief is that I would not enjoy nearly as many tunes if it weren’t for their dictated pace as well#My best example (and sorry for the predictability) is pq’s F.O.E.. Pay attention to the melody line.#These two instruments are so complementary to each other!#And I think that’s why I made Inigo a drummer way back when#You know Inigo consciously decided on that—#He just wants to be there for Archie he wants to be there WITH Archie#who used to be a guitarist if you recall~#And this is still reflected in more recent incarnations!#He trained himself to be ambidextrous because he thought it would be a cool thing to show off to Archie#He’s so incredibly academically inclined because learning how to speak and do mathematics was how Inigo bonded with him#Being able to show off what he learned and getting the encouragement and congratulations#He admired Archie as an older figure in his life before everything else y’know#He was a literal toddler how was Archie NOT supposed to imprint on him.#After all he paid attention to him#Held him close on cold nights to help him fall asleep. Sharing the warmth of body and breath#And I think this is so crucial to understanding Inigo and events like his hysteria moment#He runs off of so much fear which is driven by his LOVE for those around him#He loves Archus so he’s scared about what effect he had on him after the incident#He loves Cynthia so he maintains his distance so he doesn’t lose her too#And the resulting isolation destroys him. His true heart is left in dormant sleepiness being kept hidden for so long in sheer anxiety :(#Now if only if there was another Dandelion…. ;)
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Adding Square Roots [Ex. 1]

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#studyblr#math#maths#mathblr#math notes#maths notes#math example#worked problems#math problems#square roots#addition#adding square roots#basic math#pre-algebra#prealgebra#math ex#radicand#notes#my notes#variables#math variables#math radicand#maths ex#maths example#mathematics
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Dice are too discreet for my liking. I want continuous dice. Spherical dice where there’s a 1 and 0 on opposite sides and the magnitude depends on where the top of the dice is. Or even better introduce positives and negatives, so the poles are 1 and -1, and the “equator” is 0. And why should we stop at just real numbers? Have the north and South Pole be 1 and -1, the midpoint on either side being 0, and then have a prime meridian-type line where the poles are i and -i. This gets you a complex number with the magnitude of the real and imaginary components being less than one, then you can either have the die have different extremes (3,-3,3i,&-3i for example) or have a discrete die to scale the whole number up. What would it be used for? I don’t fucking know, but I’m sure I could fit it into d&d. If I did a custom d&d campaign I’d love to be an arithmancer, and have mathematics basically being a branch of sorcery. And using continuous dice would be a cool detail.
#if anyone has any suggestions for a maths based magic system’s name let me know#I do like arithmancy but idk if that’s a good thing for the whole umbrella#it doesn’t feel like it would involve geometry for example#idk wizardblr help me out here#mathology maybe?#text post#randyposting#maths#d&d#arithmancy#math#mathematics#mathblr
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https://www.yallalist.com/detail/top-class-ib-tutors-for-writing-all-subjects-ia-extended-essay-and-tok-255957
#ib tutor#economics#ib maths ia tutor#ib math ee#ib physics ia#ib chemistry ia#ib bio ia#ib biology ia#ib dt ia#ib itgs ia#tok tutor#ib tok essay tittles#ib mathematics ia topics#ib math ia rq#ib physics ia topics#ib physics ia rq#ib math ia examples#ib math ia sample#ib chemistry ia topics#ib english ia#ib dt extended essay#ib design technology ia#ib business ia#ib business management ia#ib bnm ia#ib business ia examples#ib business ia samples#ib economics ee sample#ib economics ia examples#ib itgs
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sometimes im like nah i don't have the autism where i personify objects, but then i remember that the way i recall how to differentiate trigonometric equations is 'sine is happy and admires cosine so is glad to be turned into a cos, so it is positive (d/dx[sin(x)] = cos(x)), whereas cos is aloof and resentful of being turned into sin, so it is negative (d/dx[cos(x)] = -sin(x))'
#i dont personify objects i personify mathematical expressions#this is only one example of ones ive done this to
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Learn Mathematics through Hands-on Activity for Students
Mathematics is frequently seen as a complicated and abstract topic, which causes students to become distracted and anxious. Hands-on activities, on the other hand, have the potential to revolutionize the learning experience by making arithmetic more engaging, interactive, and accessible. By adding manipulatives and real-world applications, children can gain a better comprehension of mathematical ideas, encouraging a lifetime love of the subject.
Benefits of Hands-on Learning
Hands-on mathematics activities have several significant benefits. They help to demystify difficult topics by breaking them down into tangible components. This strategy encourages student collaboration because many exercises may be completed in groups, boosting communication and teamwork. Furthermore, hands-on exercises can boost confidence; students who struggle with conventional methods frequently succeed and like these interactive projects.
Furthermore, these activities promote discovery and innovation. Instead of memorizing formulas and methods, students are taught to experiment and uncover mathematical concepts through trial and error. This practical learning method can spark curiosity and a lifelong interest in mathematics.
Examples of Hands-on Activities
Manipulatives for Elementary Students
Blocks, counters, and geometric forms are extremely useful manipulatives for young students. These tools enable students to visualize numbers, patterns, and spatial relationships. For example, utilizing coloured blocks to represent various numbers might help students comprehend addition and subtraction. Similarly, geometric forms can be used to explore ideas such as symmetry, area, and perimeter.
Fun Maths Games to Play in the Classroom
Maths games that encourage students to solve puzzles or accomplish tasks can make learning more engaging and competitive. Board games, card games, and digital apps sometimes include mathematical difficulties that involve strategic thinking. For example, games like "Math Bingo" and "Sudoku" promote quick mental calculations and logical reasoning.
Project-Based Learning
Long-term projects involving mathematical concepts can lead to a better understanding of the subject. For example, students can design a survey, collect data, and use statistical methods to assess the results. Another assignment could be to design a tiny garden, which requires measurements, area calculations, and a grasp of proportions.
Implementing Hands-on Learning for Students In Classroom
To integrate hands-on activities into your teaching practice,start small. Begin with simple manipulatives or activities and gradually increase complexity. Secondly, make it relevant by connecting creative maths activities to real-world scenarios or students' interests which in turn will lead to encouraging exploration. Allow students to discover mathematical concepts through trial and error.
Keeping all of it in mind, a group of young SAIoneers in Class IV launched on an exciting adventure into the world of mathematics via a hands-on exercise. The students were inspired by their curiosity and propelled by their creativity as they participated in an interactive lesson centered on the basic idea of adding value using building blocks. Read more.
The classroom was alive with activity as students excitedly engaged in numerical operations, handling physical items to understand the abstract idea of addition. This tactile experience not only strengthened their comprehension of mathematical procedures, but also helped children acquire important abilities like problem solving, critical thinking, and cooperation.
Conclusion
Introducing hands-on activities into math education is an effective method for increasing student involvement and knowledge. By making mathematics interactive and relevant, educators may improve the learning experience, making it more interesting and effective. As students interact, study, and experiment with mathematical concepts, they gain a better understanding and mastery of the topic, laying the groundwork for future academic and everyday success.
#mathematics#hands-on activity for students#benefits of hands-on activities#examples of hands-on activities
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[ID: A screenshot of a Tumblr reblog by user ordinarytalk from myrskytuuli. It reads, "#getting real suspicious about the increasing conflation of fantasy with reality in fandom #'you must only read and write Good and Pure things! Otherwise you're secretly Evil :)' is the song of book burners and history revisionists #the growing number of fans treating shipping as a sign of moral purity is troubling at best and terrifying at worst #Never trust someone who tells you to police your thoughts. Never trust someone who tells you that bad thoughts are the same as bad actions. #and most of all #Never trust a purity spiral. #fandom". End ID.]
ID by @commonfate
I really think everyone needs to truly internalize this:
Fictional characters are objects.
They are not people. You cannot "objectify" them, because they have no personhood to be deprived of. They have no humanity to be erased. You cannot "disrespect" them, because they are not real.
#good post well said totally agree etc.#at the same time the former philosophy major in me read that first sentence and thought#are fictional characters objects? that would be a very strange kind of object#and yet. maybe?#what is an object?#does it have to be made of matter? we talk about mathematical objects don't we?#is that just inaccurate language or are there actually nonmaterial objects?#and if there are what are they? how would they be defined? are fictional characters an example?#do fictional characters exist outside of people's minds? are they mental objects? is that a thing? are minds objects?#if the character exists outside of minds is the representation of it in a mind a different kind of thing or an instance of that thing?#and that's about where i realise this is a fruitless line of questioning#i have no idea what fictional characters are and i suspect very few people do have any idea#(are ideas objects?)
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Math teachers play a crucial role in shaping students’ numerical and problem-solving skills. Setting SMART (Specific, Measurable, Achievable, Relevant, and Time-bound) goals can help math teachers enhance their teaching methods, engage students more effectively, and improve learning outcomes.
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I've developed mathematics for a non-human mind, for my comic "The book written by tiny paws"
Sapient distant descendants of rats, known as packers, living on Earth millions of years after the extinction of humans, began to develop mathematics using cognitive mechanisms never intended for such tasks. Due to an evolutionary quirk, multiplication came more naturally to them than addition, and their mathematics reflects this.
Packers write numbers as shapes, with each number having a corresponding number of corners.
And they write large numbers as nested shapes. The number inside is multiplied by the number outside.
Examples of some numbers:
Packers haven't invented 0 yet. They haven't even invented 1! In fact, they don’t need the concept of "one" much in their system. There's no need to say "I ate one fish" when they can simply say "I ate fish".
Packers can't yet write large prime numbers, like 101 or 10,501, because they would have to draw a huge shape to represent them! Even writing 17 or 19 would be quite difficult if they only used convex shapes.
So packers use non-convex shapes too!
Many years later, some packer noticed that large prime numbers look suspiciously symmetric.
So this packer improved the notation system and made it clearer.
Later, another packer simplified this system even more, deciding that there was no point in writing the same shapes twice.
This packer was the first in their culture to declare that "a dot isolated from a number" should also be considered a number. The packer called this dot "the wonderful number that's less than two".
Many years later, another packer made an important innovation: the "dot isolation" could be repeated multiple times as long as the result remained odd. When the result became even, it could undergo a "two isolation" (division by two). The final result will be a series of dots and twos.
This invention led to the creation of a binary system based on one and two, which had a significant impact on the technological advancement of packers.
The comic "the book written by tiny paws" talks about all of this in more detail. There will be mistakes, debates, the invention of rational, irrational, multivariate numbers, and some other stuff. Some stuff will be very much like human math, and some will be different. After all, math is still math, only the point of view has changed.
#art#digital art#oc#comic#webtoon#webcomic#drawing#orig#lineart#black and white#cute#animals#the book written by tiny paws#math#speculative biology#spec bio#mathematics#math posting#comics#artists on tumblr
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