Images, posts & videos related to "Arithmetic"
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
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
... keep reading on reddit โกHi, 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
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
... keep reading on reddit โกWARNING: VODKA REQUIRED AHEAD. DO NOT ATTEMPT TO READ WITHOUT BEING OBLITERATED.
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
... keep reading on reddit โกLike base 2, base 8 or even non integer or irrational bases?
What do you think?
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?
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?
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
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
... keep reading on reddit โกHi there Iโm 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. Youโll 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.
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
---
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.
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
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?
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 |
XรY=Z | X times Y is Z | timeser | timesede | outcome |
XรทY=Z | X dealt by Y is Z | dealede | dealer | manyness |
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
... keep reading on reddit โกI'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.
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?
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 โ 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.
Find the next term of the sequence. 1, 8, 27, 64, ..
How do you do this?
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
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?
Iโm concerned when I get into industry everyone will see me as an outlier.
https://preview.redd.it/pthpjk7s89e51.png?width=1044&format=png&auto=webp&s=ba075500747ea79b93b2f7c4b5c2dd4bbfda4002
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
... keep reading on reddit โกHi,
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
... keep reading on reddit โกSo 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 โช {1} ร ฮฒ)
However when it comes to questions such as: "State if either of the following are true:"
i) 1 + ฯ โ ฯ + ฯ = ฯ โ ฯ
ii) 2 โ ฯ โ 5 = ฯ โ 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.
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 :(
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 โข 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
... keep reading on reddit โกI fell down a Wikipedia rabbit hole today after watching a YouTube video on base-12 and I'm curious.
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
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[
... keep reading on reddit โกNot 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
... keep reading on reddit โกI keep crashing to nexus all the time and it's make the game un fucking playable. Anyone else having this issue?
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 = โ(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.
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?
What is the common difference of the series? 10 + 4 - 2 - 8 +
How do u do this?
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!
Explained in brief with graphics
Fundamental Theorem of Arithmetic
https://youtu.be/cDTm04Zanwc
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