A convicted murderer in a US prison has taught himself the basics of higher mathematics, enabling him to solve a complicated arithmetic problem. And he has been passing on his math passion to his fellow inmates. dw.com/en/murderer-solvesโ€ฆ
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7x5 character display using circuits I made (4 deciders, 3 arithmetic per character) v.redd.it/u8bjweqknuf51
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Why do programming languages represent arithmetic and logic expressions as binary?

Usually programming languages represent arithmetic and logic expressions as binary operations. a+b+c is represented by ADD(ADD(a,b),c) instead of ADD(a,b,c).

This is true for syntax trees (here an example for JavaScript; the same site supports tons of other languages) as well as bytecodes and intermediate representations (e.g. Python, JVM, LLVM IR).

I've never seen a language doing it differently.


What are the reasons for this?

Wouldn't it be more efficient, and simpler too, to handle expressions with N terms, rather than nested binary trees?

An example is interpreters that don't JIT: they could easily stop processing an OR(a,b,c,d,e) as soon as they find a true element. While skipping un

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The truth about elementary arithmetics
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A first step towards Erdรถs Conjecture on Arithmetic Progressions have been made. arxiv.org/abs/2007.03528
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I'm no arithmetic major, but I don't think that's a trillion.
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GPT3 is... ok... at arithmetic

So, like just about everyone else in the world, I've spent a good portion of my free time in the last week playing with GPT-3 (through the AI Dungeon Dragon mode). I've found this weird phenomenon where it gets *really close* answers to word arithmetic problems. I've omitted a fair bit of the preamble in the quote below, but you can see the full text of the session at https://www.johnfaben.com/blog/gpt-3-arithmetic. Bold text input my me, non-bold text output by the Dragon Model.

>...
>
>What is twenty divided by four?
>
>5
>
>What is sixty divided by eight?
>
>7.5

>
>What is one hundred and five divided by three?
35.6666666666666

>
>What is eighty-five divided by six?

I was kind of floored by this, so I tried again a few times, and got answers including "34.66667", "35.33", "35" and "38.33", as well as some nonsense. What is going on here? C

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Arithmetic progression in python

Hi, I'm doing some exercises where I need to find which line a certain number is, like:

First Line - 1

Second Line - 2 3 4

Third Line - 5 6 7 8 9

Fourth Line -> 10 11 12 13 14 15 16

Fifth Line -> 17 18 19 20 21 22 23 24 25

Nth line - (...) 1969 (...)

and I need to find which line the number 1969 is, so I thought about arithmetic progression but I don't know how to do it

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[University/MOOC Proofs] Trying to understand a proof for Fundamental Theorem of Arithmetic

Link: http://people.math.harvard.edu/~knill/graphgeometry/papers/fundamental.pdf

Screenshot of Proof: https://imgur.com/CuEQ3b6

Background:

I learned math as a computational discipline. I'm attempting to learn the theoretical side so I can understand modern math and not freeze up when I see mathematical symbols.

Questions:

I don't quite follow what the author is trying to say. I understand points 1 & 2, that N is a set of natural numbers and that a number p is an element of N and greater than 1 (definition of a prime number)

But the third step doesn't quite make sense to me, logically or syntactically.

>With a prime factorization [;n = p_1 \ldots p_n;]

Does this mean that n is the product of [;p_1 \ldots p_n;]?

>We understand the prime factors [;p_j \ of \ n;] to be ordered as to be ordered as [;p_i \ \le \ p_i \ + \ 1;].

The p

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Real devs use pointer arithmetic
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Mathematical objects aren't objects. Math is only as true so far as it maps onto "reality". Arithmetic is only true because it "works in real life" . And math is just as logical as harry potter. (No, I'm not making this shit up)
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Use basic arithmetic to blow up caestus parry spammers: 1300 damage punish with black blade as an example

Sometimes you get this dude who spams the leather fist of deflective pugilism.

There are lots of people who have their own way of punishing that. They might go for a backstab, or a jumping attack, or weapon art or whatever.

There are also lots of people who don't know what's going on, attack anyways, and get riposted with chaos dagger in short order.

There are also lots of particularly poor saps who see it coming, try to attack with off timing to get an instability hit, but mess up and get destroyed anyways. This post goes out to you, you feebled, cursed, nameless, dead, undead, very much not alive after that riposte friend. Please read further to regain your dignity against this menace my friend.

Here is a strong punish with horsehoof ring and 2H katana, specifically black blade. The "tech" used is described by example so you can see how it fits with your own weapon.

STEP 1: EQUIP HORSEHOOF RING

That was easy.

STEP 2: ANTICIPATE THEIR PARRY, KICK IT

You want to kick th

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Layout of an 8-Bit Arithmetic Logic Unit
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TIL that GIMP can do arithmetic in numerical input fields v.redd.it/vjuor0s4zh851
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Does the fundamental theorem of arithmetic hold true outside of base 10?

Like base 2, base 8 or even non integer or irrational bases?

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Oops...Arithmetic operation overflow
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Arithmetic opetation overflow
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Still better at teaching arithmetic than your 10th grade teacher
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I thought I should mention this. I know Lamy said that she is bad at/dislike arithmetic and I'm being too pedantic, but because it is not yet her birthday, she is either born in 1810 and is 209 y/o or is born in 1809 and is 210 y/o.

What do you think?

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Arithmetic expressions - how?

So I am creating my own programming language with another Redditor. It's called Ozone, and it's being implemented in Java. My question was, how do I parse arithmetics and boolean expressions? I know how to do basic 6+4-3 but once we add division and multiplication and parentheses (so basically the order of the calculation changes) I have no idea how to do it. Could someone give me an example of this?

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If the authors of computer programming books wrote arithmetic textbooks.
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Kevin Hague scores an own goal "a Scottish Nationalist is someone who votes for a party that, due to simple arithmetic, canโ€™t form the government at Westminster ... and then complains that they donโ€™t get the government they vote for at Westminster" twitter.com/kevverage/staโ€ฆ
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pH Calibration Manual Arithmetic

My pH meter is supposed to be calibrated with 4 6.86 and 11 or something similar. I've known for a while my pH has been off. However, my local grow shop doesn't have all of the required acidities.

If my pH meter is giving me a reading of 7.5 when dipped in 7. Is it fair to assume I can just pH down my water to 6 to get a 6.5 reading? Or does the pen truly need to be calibrated to the other levels as well?

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''The simple arithmetic'' by Russian cartoonist Leonid Elkovich, USSR, 1944
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Arithmetic and geometric sequence

1.Find the sum of the series: 2 + 5 + 8 + 11 + ... + 59

2.What is the common ratio of the series? 1/2 + 1 + 2 + 4 ...

3.A 5 inch spike is being pounded in to a log. Every time you hit the hammer 1/4 of the remaining spike goes into the log. What kind of sequence or series is definied by the total distance the spike goes into the log?

PLS help me on this, I can't do them

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Polymorphism and arithmetic operator overloading

I am (purely for fun) trying to create a wrapper class for std::any. It consists of a class IObject that is the base class and holds a std::any value and a templated class Object<T> that derives from it and specifies the type.

Now i would like to implement arithmetic operators in the base class so i could for example add a Object<float>(5.5) and a Object<int>(8) and would recieve a Object<float>(13.5) back.Something like this:

IObject *a = new Object<float>(5.5);
IObject *b = new Object<int>(8);

IObject *result = *a + *b;

Is there some (perhaps even simple) way to achieve this using only the base class interface in the operations? Maybe some trickery with function overloading like i did with the appendToStream function?

Thank you in advance, looking forward to your solutions. :)

Here is the code, compile with c++17 for std::any support:

#include <iostream>
#include <any>

class IObje
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Too much arithmetic in my battling card game?

Hi there Iโ€™m designing my first game as a hobby and I have designed a battle system that involves adding and subtracting up to 6 modifiers (all whole integers below 10, most less than 3) and 2d6. Youโ€™ll have to do this up to 6 times per battle round.

So my question is, how much arithmetic are players willing to put up with?

Thanks for the advice so far!

Edit: further information - In the game you only ever act as a single entity either until it is destroyed or defeats its opponent.

All information for the rolls will be clearly available and identifiable on the game board to both sides at the point of calculating, also to make things easier there are symbols to show where a modifier affects a roll in the progression of the round.

Finally an important part of the game will be on finding combinations of moves and modifiers that lead to synergies.

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Map array - using value in arithmetic

Hello I'm a newbie at programming and we have a particular assignment where we needed to retrieve the value of the object in map and perform arithmetic operations there, and whenever I try to use any operation all the results displayed are separated. I wanna know if there is a way to combine all the values to get the the average (particularly on the bold text below).

---

code:

const map = new Map();

map.set('lucky', 13);

map.set('unlucky', 18);

let message = "";

for (const key of map.keys()){

message+= "key: " + key + " -- value: " + map.get(key) +"\n";

};

for (const key of map.keys()){

message+= "Average: " + (map.get(key)/map.size) +"\n";

};

message;

//result was key: lucky -- value: 13 key: unlucky -- value: 18 Average: 6.5 Average: 9

---

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How to create random arithmetic expressions?

I searched all Reddit for some ideas, but nothing sufficiently detailed. I want to create arithmetic expressions to be solved for order-of-operations practice at a 5th grade level. My idea is to generate a tree where a node is a random operator and a final value, and children are created to provide the operator's inputs, which can continue to some determined depth. Various restrictions might apply, like no negative results, and no non-integer quotients. I'd like to handle +, -, *, /, **, and parentheses. Any ideas and/or pseudo-code on a basic/simple flow? Thanks for any suggestions or guidance.

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A wonderful proof exposition of Dirichletโ€™s Theorem on Arithmetic Progressions by Anthony Vรกrilly math.rice.edu/~av15/Filesโ€ฆ
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Bad at mental arithmetic but need to quickly multiply something by 9?

Simply face both palms towards your face fingers extended,

Next (counting left to right) lower the finger matching the number you wish to multiply by nine...

The number of fingers left of the lowered finger are the first Digit (include thumbs)

The number of fingers Right of the lowered finger are the second Digit. (include thumbs)

All done.

...and the best part is you look strange

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Houseflies are arithmetic-whizzes.
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Arithmetic Sequences
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Need help figuring out the idea to solve this modular arithmetic question
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What does it mean to fully understand arithmetic?

Im a philosophy guy. I have solid math skills. Im better at stupid little numerical puzzles than my Maths/Engineering friend. But he told me one day, when I was thought bubbling out loud about philosophy of mathematics, that I didnt know enought about arithmetic. This has always gnawed at me. I dont really know what it means to have a theoretical grasp of arithmetic beyond being able to do arithmetic, which I have no problem with. So thats my question. What does it mean to have a complete understanding of arithmetic? Do we need to go back to logic? Or is Arithmetic fully knowable without reference to anything more basic?

Bonus question: Is arithmetic in fact the first stage of mathematics? Or is it geometry along the lines of Greek thinking? Is there an academic consensus on this?

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Mathematical terminology: Arithmetic (Talecraft)

Basic operations

An equation is called an evenmeting. The symbol "=" can be pronounced evenmetes, but you can usually just say is.

Equation Pronunciation X is called the... Y is called the... Z is called the...
X+Y=Z X eke Y is Z quide quide tale
X-Y=Z X minsed by Y is Z minsede minser forshed
Xร—Y=Z X times Y is Z timeser timesede outcome
XรทY=Z X dealt by Y is Z dealede dealer manyness
  • quide: In English you occasionally hear "augend", "addend", or "summand", but these are hardly ever used in actual mathematics. Far more useful is the word "term", referring to various parts of an expression that are added together. For this I suggest quide from the Wordbook. (I suppose if you re
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Belly Arithmetic~(By Skaifox)
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Relationship between finite tiling problems and modular arithmetic

Was recently doing a very simple discrete math problem. It reads as follows:

"Consider a 2^(n) x 2^(n) chessboard with one (arbitrarily chosen) square missing. Prove that any such chessboard can be tiled by L-shapes consisting of 3 squares each."

The easiest way to go about proving this result is by induction on the exponent โ€” i.e, considering the case of 2^(n-1) x 2^(n-1) and reframing the n case as four 2^(n-1) x 2^(n-1) boards pasted together. What caught my interest was the way this result feels related to an even simpler one from modular arithmetic. Clearly we have that: 2^(n) x 2^(n) = 4^(n,) and 4 mod 3 = 1, which implies that 4^(n) mod 3 = 1 for any n. I..e, there is always one "square" left over from a collection of 4^(n) squares after division by 3 squares.

My curiosity lies in how to interpret this fact geometrically, in the context of (a) tiling a 4^(n) board by tri-ominos, and (b) more generally: tiling an m^(n) board by k-ominos, with 1 arbitrary square missin

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[R] Performing Complex Arithmetic with Transformer

I've managed to perform complex arithmetic with a model with the same architecture as GPT!

It might be a surprise to you that even though neural networks have shown superhuman power in many areas, they are still struggling with very basic logic, such as arithmetic. As far as I am aware of, this is the first successful attempt to train a neural network to perform such complex arithmetic without designing a module specifically for the task (i.e. not hooked up to a calculator).

The task chosen was 5-digit by 5-digit decimal multiplication (12345*54321=670592745), which I believe to be sufficiently hard to prove that the model is in fact able to calculate. The model achieves 100% accuracy, showing that it's possible for neural network models to reason quite accurately.

The code and model checkpoint can be found at https://github.com/Thopliterce/transformer-arithmetic.

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Arithmetic Operation Overflow?

Never saw this DC message before the update, and now I've gotten kicked out 3 times in 15 minutes. Wtf does that even mean? Anyone know what causes it?

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Modular Arithmetic/Set Question

Hello!

I've been working on this problem for days, and I just don't know quite where to start.

"Under congruence mod m = 13, determine those b โˆˆ U(13) such that (as sets):{[0], [1], [2], . . . , [12]} = {[0], [b^1], [b^2], [b^3], . . . , [b^12]},where the order of the elements on the right hand side is not necessarily the same as that on the left"

This is the question I've been working on. So I know U(13) = {[1],[2],...,[12]}. I tried thinking of various b values from that that would work but I haven't been successful (unless I'm missing something key). Could anyone point me in the right direction or a hint? I really want to understand but this problem is thrashing me around. Thanks!

Forgot to leave this out: I got b=2 by brute force but I don't know how to get to it analytically and for which numbers of all 1-12 in U(13) would work.

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Defunctionalizing Arithmetic to an Abstract Machine philipzucker.com/defunctiโ€ฆ
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Arithmetic and geometric sequence

Find the next term of the sequence. 1, 8, 27, 64, ..

How do you do this?

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"My intelligence is far superior to your own, for I can do arithmetic, and in the process, not understanding the point."
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Conspiracy arithmetic, stay woke
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arithmetic word question.

if 15 summers can eat 15 bowls of food in 15 hours, how many hours would it take 5 summers to eat 5 bowls of food

how is answer 15? thought it was 5

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Please excuse the cliched, Imposter Syndrome post. I still get anxiety when performing basic arithmetic although I can comprehend and explain complex concepts, e.g how a NN works. I feel like there is such a big gap in my math background. Am I alone?

I have been practicing with a mental math app however, I still feel anxious dealing with basic operations like multiplying and subtraction. I think I have gotten my self into a negative self fulfilling prophecy.

Does any one have any suggestions how I can overcome this incompetence/insecurity?

Iโ€™m concerned when I get into industry everyone will see me as an outlier.

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The Fundamental Axiom of Floating Point Arithmetic johnbcoughlin.com/posts/fโ€ฆ
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How it feels when you screw up the arithmetic on a milling operation 2 hours into a part

https://preview.redd.it/pthpjk7s89e51.png?width=1044&format=png&auto=webp&s=ba075500747ea79b93b2f7c4b5c2dd4bbfda4002

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Using spans to show an arithmetic operation for children

I'd originally started with simple styling that looks something like this:

x + y
  =
_____

It occurs to me, however, that younger kids (my nephew being 8 years old) might have difficulty with this so I wanted to arrange it more like this:

    23
+ 1234
______

The answer input would then have a top border so that the answer can go underneath the equation.

Currently my markup is very basic, but I'm happy to change it to get the desired effect:

<div class="equation">
  <p>
    <span class="firstNumber"></span>
    <span class="symbol"></span>
    <span class="secondNumber"></span>
  </p>
  <p>
    <span>=</span>
  </p>
  <input type="text" id="additionSolution" />
</div>

For addition and subtraction I don't think I'm going to use numbers higher than 1000 and for multiplication and division, I'm not really looking at anything

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Existing work on decidability of equivalence between arithmetic expressions

Hi,

I am looking for existing works that address the question of under what operations on integers is equivalence of algebraic expressions decidable. In case some cases it might be trivial:

2x + 3 = x + (1+1+1+x) # By grouping terms they turn out to be equivalent

Note that this is not about finding roots of a polynomial or anything similar, rather about ensuring that for any input both functions return the same output.

So far, I have conclude that for expression composed of addition, subtraction and multiplication equivalence is decidable. The algorithm would be to expand the expressions and group the terms in order to have in the typical polynomial representation of a list of monomials with a total order between them. Thus, equivalence is just checking equality on the list of monomials.

Moreover, with integer division (division rounded to floor) I believe that you can remove the denominators of the fractions and get a polynomial, where you can apply the previous procedure.

I am

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[3rd Year Undergrad] I'm confused about ordinal arithmetic.

So I've been diving into ordinals for my set theory course, and I'm struggling to get my head around ordinal arithmetic.

I can understand the basic definitions such as the ordinal sum ฮฑ + ฮฒ being the unique ordinal isomorphic to the well ordered set: ({0} ร— ฮฑ โˆช {1} ร— ฮฒ)

However when it comes to questions such as: "State if either of the following are true:"

  • i) 1 + ฯ‰ โˆ™ ฯ‰ + ฯ‰ = ฯ‰ โˆ™ ฯ‰

  • ii) 2 โˆ™ ฯ‰ โˆ™ 5 = ฯ‰ โˆ™ 10

I get completely confused, for part i) I tried simplifying 1 + ฯ‰ to just ฯ‰ but from there I just get completely stuck.

Any help with this would be insanely appreciated, thank you all so much.

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Iโ€™m confused with this sequence , 0 + 1/3 + 1/2 + 3/5 + 2/3 + 5/7 + ... how are you supposed to make a general term with that sequence ? Itโ€™s far from an arithmetic & geometric sequence

Please advice me how am i supposed to deal/answer with this kind of questions. Usually making general terms is straightforward (Arithmetic&geometric) but when it comes to sequences that are not arithmetic&geometric it becomes perplexing and i get intimidated by the question :(

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Why does the diagonal lemma require the presence of minimal arithmetic in the theory at hand?

If you look at the proof for the diagonal lemma, it starts out by saying:

https://proofwiki.org/wiki/Diagonal_Lemma

>Let T be the set of theorems of some theory in the language of arithmetic which contains minimal arithmetic.

By "minimal arithmetic", the proof means Q (i.e. the 10 axioms of Robinson's arithmetic):

https://proofwiki.org/wiki/Definition:Minimal_Arithmetic

However, when I scrutinize the proof, I fail to detect or pinpoint where any of these 10 axioms has actually been used. The only reference to Q seems to be:

>Since T contains Q ... diag(n)=m if and only if T โŠข Diag(n,m)

Does anybody understand why the connection between diag(n) and Diag(n,m) requires the presence of sub-theory Q? Why would it not also work without sub-theory Q? This connection clearly requires the existence of natural numbers (such as defined in Q), but in my impression it does not

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What is modular arithmetic? m.youtube.com/watch?v=yM6โ€ฆ
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My fellow Americans, how familiar are you with arithmetic bases other than 2 and 10?

I fell down a Wikipedia rabbit hole today after watching a YouTube video on base-12 and I'm curious.

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How does integer arithmetic currently work in const fn?

The recent successful stabilization of #[feature(const_if_match)] and #![feature(const_loop)] got me curious to read more about const fn and learn how it works under the hood, which led me to this informative blog post by Varkor.

I was wondering if someone familiar with the compiler internals could clarify how integer arithmetic, e.g. impl std::ops::Add<usize> for usize, currently works in const contexts when the trait method implementation is not marked const fn (source), like the aforementioned article describes. Is MIRI able to magically evaluate these trait method implementations in a const context without having them explicitly marked as const fn? Is there a plan to mark them const fn at a later date? Why

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June 20 QOTD: The fifth term of an arithmetic sequence with common difference 6/5 is 11/5. What is the difference between the mean and the median of the first 18 terms of this sequence?
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Ansible arithmetic conversion issue

I'm trying to do some calculation using a variable, something like

- name: Resize backup volume attached to instance
  raw: aws ec2 modify-volume \
        --region {{ region }} \
        --volume-id {{ data_volume_info.volumes[0].id }} \
        --size {{ ((backup_file_size.stdout_lines[0]/1024/1024/1024)*8*3)+700 | int }} \
        --volume-type {{ data_volume_info.volumes[0].type }}
  delegate_to: 127.0.0.1

And I'm having an issue with this parameter --size {{ ((backup_file_size.stdout_lines[0]/1024/1024/1024)*8*3)+700 | int }}

Note, if I do a debug for backup_file_size.stdout_lines[0], the following is what I get

ok: [computername] => {
    "backup_file_size.stdout_lines[0]": "10217779712"
}

The resize volume task fails with the following message

"Unexpected templating type error occurred on (aws ec2 modify-volume --region {{ region }} --volume-id {{ data_volume_info.volumes[0].id }} --size {{ ((backup_file_size.stdout_lines[
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Am I doing pointer arithmetic correctly? gist.github.com/v--/5cbd0โ€ฆ
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if 4 * n C 5 , 3 * n C 6 , 3 * n C 7 form an arithmetic sequence, find n ...... if 2 * 14 C r+1 , 3 * 14 C r , 6 * 14 C r-1 form a geometric sequence, find r.
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BUG? You can recruit prisoners with "arithmetic progression" by holding SHIFT

Not sure if it's already well-known but I have been exploiting this "bug" for a while.

When you keep prisoners in your party, in time they will gradually become recruitable. There will be an icon that indicates how many prisoners of this unit you can recruit. For example, if you have 10 imperial trained infantryman and the icon says 4, technically it means you can left click icon 4 times and recruit 4 units with 6 prisoners left. However, if you do it by holding SHIFT then left click it 4 times, you can actually recruit 4 + 3 + 2 + 1 = 10 units. You can recruit all of them! Each SHIFT click gives you "x" unit of the prisoners (where x is the face value of the icon) while it only reduces its number by 1 even with SHIFT, so you can SHIFT click it 4 times.

[SHIFT click 2 times can recruit 3 (2 + 1), while normal click 2 times only recruit 2 (1 + 1) with 1 prison left](https://preview.redd.it/avygu4u9h1651.png?width=625&format=png&auto=webp&s=98e7abad8301cfd3cf5c8a9

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Language Models are Few-Shot Learners ["We train GPT-3... 175 billion parameters, 10x more than any previous non-sparse language model... GPT-3 achieves strong performance on many NLP datasets, including translation, question-answering... arithmetic..."] arxiv.org/abs/2005.14165
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What is the basic arithmetic they are talking about. Like how did they go from 3t to t/ 1/3
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Arithmetic Operation Overflow every 10 minutes?

I keep crashing to nexus all the time and it's make the game un fucking playable. Anyone else having this issue?

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HP 41C, HP 42S, TI-60: Arithmetic-Geometric Mean

https://preview.redd.it/7pnde78s99d51.jpg?width=362&format=pjpg&auto=webp&s=a3e21fbccb5d032888aa34e9f02c948d548d652b

http://edspi31415.blogspot.com/2020/07/hp-41c-hp-42s-ti-60-arithmetic.html

Arithmetic-Geometric Mean

The program AGM calculates the arithmetic-geometric mean of two positive integers x and y. As the graphic above suggests, an iterative process is used to find the AGM, computing both the arithmetic mean and geometric mean until the two means converge.

a0 = x

g0 = y

Repeat:

Arithmetic Mean: a1 = (a0 + g0)/2

Geometric Mean: g1 = โˆš(a0 * g0)

Transfer new to old: a0 = a1, g0 = g1

Until |a1 - g1| < tolerance

You can set the tolerance as low as you want. The programs presented on this blog set tolerance at 10^(-10) (1E-10), to fit the calculator's display.

Click on the link above to get the program listings.

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Is arithmetic sequence tested for SAT
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How important is Math/Arithmetics?

Math was never really my strong suit. I got pretty good grades in school and I did well enough to pass the ASVAB, but for the most part I can only ever seem to do it on paper. I cannot do math in my head for the life of me let alone arithmetic reasoning. My Dad is being a huge pain in the ass about it saying I need to know it out in the field and the drill sergeant will use that to mess with me, but from what I hear it's not nearly as important as people make it out to be. Can anybody confirm this? Just how important is Math/arithmetics?

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Arithmetic sequnce

What is the common difference of the series? 10 + 4 - 2 - 8 +

How do u do this?

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two arithmetic questions from ETS book I had trouble with...can someone please explain
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Impaired Trump Tool Visibly Struggles with Arithmetic - David Pakman Show youtube.com/watch?v=sYRXCโ€ฆ
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Good free resources to learn modular arithmetic>

I'm a high school student and recently started studying elementary number theory. I've come to a standstill however, because I simply do not comprehend modular arithmetic and thus don't understand the solution to many of the problems given in my text book. Are there any good free resources or Youtube channels for modular arithmetic? Suggestions are greatly appreciated. Thank you!

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GfMRT | LeaF - Poison AND/OR Affection [Arithmetic Love] +HD 97.75% FC #1 | 358pp | 120.00 UR | 1st HD FC!
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A simple Arithmetic Expression evaluator in Zig timmyjose.github.io/docs/โ€ฆ
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arithmetic question from ETS quant book
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Fundamental Theorem of Arithmetic

Explained in brief with graphics

Fundamental Theorem of Arithmetic

https://youtu.be/cDTm04Zanwc

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