Question on bits and pieces of mathematics that show up in popular media (TV, movies, comics, etc.)

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37 views

Watches on a table

From Peter Winkler's 'Mathematical puzzles', taken from an All USSR Mathematical Competition, 1976: 50 accurate watches lie on a table. Prove that there exists a moment in time when the sum of the ...
1
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1answer
19 views

Voting with 3-way ties

From Peter Winkler's 'Mathematical puzzles' Ashford,Baxter and Campbell run for election and end up in a 3-way tie. To break it, they solicit voters' second preference and there is also a 3-way tie. ...
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0answers
14 views

Which Topics basically Required for Learn Math's 3 Subject in Degree Engineering [closed]

Please suggest me which Topics I study for degree maths
-4
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0answers
50 views

Irrationality of a number [closed]

Is there any proof for $\sqrt3$ being an irrational number where we are not forced to conclude that $\sqrt3$ is irrational number?
0
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0answers
31 views

Maximum length sequence with negative and positive subsequences

From ' mathematical puzzles' By Peter Winkler: " At the stockholders' meeting the CEO presents month-by-month profits and losses and declares : ' Since the last meeting we have made a profit in ...
1
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1answer
30 views

How to find all positive integer solutions of a Diophantine equation?

Here is the equation $$ 6a+9b+20c=16 $$ To solve this, i follow the below steps : $\gcd(6,9)(2a+3b)+20c = 16$ let, $w = 2a+3b$ So, $3w+20c =16$ then, specific solution of $w = 112+20n$, $c = -16-...
-1
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1answer
31 views

Arc Length and Area of a Sector

A cake has a circumference of $30 \mathrm{cm}$ and a uniform height of $7\mathrm{cm}$. A slice is to be cut from the cake with two straight cuts meeting at the centre. If the slice is to contain $50\...
13
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2answers
302 views

Did Feynman mentally compute $\sqrt[3]{1729.03}$ by linear approximation?

In the biopic ``infinity'' about Feynman. (11:48~15:50) Feynman compute $\sqrt[3]{1729.03}$ by a mental calculation. I guess that he use the linear approximation. That is, he observe that $1728=12^3$....
1
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1answer
53 views

explanation of topology examples from movie or other [closed]

I always like topology and geometry. But there are some examples in film and videogames that upset me... 1)Imagine an empty room in which there is a door in the middle, and if I open it I can see a ...
0
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0answers
39 views

List of Interesting African Mathematics Blogs

Title says it all: looking for info on any Mathematics blogs that are either contributed to by bloggers on the African continent, or have an African continent focus (for example someone living outside ...
2
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0answers
55 views

The simplest way to present a Lie algebra to a wide audience?

I would like to get suggestions from you as to the best way to present the idea and contents of Lie algebras to a wide public of people with no detailed background in maths. What wlould you explain to ...
0
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2answers
35 views

Reward in a fair game?

Consider a coin toss of a biased coin, where H comes up with probability p I bet 1 dollar that the outcome of the toss will be H, win reward R if it is H, and lose the 1 dollar stake otherwise. What ...
4
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4answers
196 views

Prove that $\pi>3$ using geometry

I was asked this question today in an interview. Question: Prove that $\pi>3$ using geometry. They gave me hints about drawing a unit circle and then inscribing an equilateral triangle and then ...
0
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2answers
163 views

Expected number of tosses until 3 heads in a row - via Martingale method

(Quant job interviews - questions and answers - Question 3.8) For a fair coin, what is the expected number of tosses to get 3 heads in a row The answer is stated as : We gamble in such a way ...
2
votes
1answer
48 views

Independent coin tosses , double or halve current sum

(Quant job Interviews - Questions and Answers - Joshi et al, Question 3.5) Suppose you have a fair coin. You start with 1 dollar, and if you toss a H your position doubles, if you toss a T your ...
5
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2answers
309 views

Determine whether a point lies inside the curve or outside a random curve using pencil and scale

Say, I am given a point and a closed curve. I don't know anything about the curve (where it is, what it is, its size etc.;say it is hidden somewhere)."I just can't see the curve but I can see the ...
28
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4answers
2k views

A golden ratio series from a comic book

The eighth installment of the Filipino comic series Kikomachine Komix features a peculiar series for the golden ratio in its cover: That is, $$\phi=\frac{13}{8}+\sum_{n=0}^\infty \frac{(-1)^{n+1}(...
0
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2answers
61 views

'Probability method' - to what extent is it an actual proof?

Consider this: $\frac { C^{2n}_n } {2^{2n}} = \mathbb P (A) $ where A= { equal number of heads and tails in $2n$ throws of a fair coin } therefore the following assertion is true: $\forall n \ge ...
3
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1answer
167 views

Monty Hall problem again (from Grimmett and Stirzaker)

Grimmett and Stirzaker Exercise 1.4.5.2 In a game show you have to choose one of three doors. One conceals a car, 2 conceal goats. You choose a door but the door is not opened immediately. Instead ...
8
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6answers
583 views

What does $200\%$ faster mean? (How can something be more than $100\%$ faster?)

I'm a simple man living my every day life and have not much understanding of math or science. Today I read an article where someone claimed they can charge a battery $200\%$ faster. This got me ...
0
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1answer
160 views

Latest episode of the big bang theory, vanity card.

I usually don't read these, but this time I did, and this was the card: Does the last mathematical symbols have any meaning? I get that the equal 150.6+V, is there any more meaning behind this?
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1answer
40 views

Subpopulations of an island (Bayes theorem?)

Help appreciated here. An island with 2 regions, I and II, has 4 types of individuals: AX, AY, BX and BY, for which we know their exact total nos. Here A-B-X-Y are simply traits, e.g., A=Male, B=...
3
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4answers
214 views

What books should a high school calculus student read to learn more about truly beautiful mathematics? [closed]

I love mathematics! Unfortunately, I don't know as much about it as I would like to. I honestly spend a large portion of my free time reading further in my Calculus textbook, and it's very interesting....
0
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0answers
76 views

What probability analysis did the allies use during WWII after they cracked the Enigma, or how can this probability be quantified?

In the recent film, The Imitation Game, after cracking the Enigma they mentioned that the allies didn't simply use every cracked message but instead analysed the probability the Germans would find out ...
0
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2answers
83 views

Is it incorrect to use the phrase “X percent probability?”

Very frequently, phrases like "50 percent probability" are used in science papers and popular writing. Is this phrase generally viewed to be correct by the mathematical community. Formally a ...
2
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2answers
367 views

Does ABC implies Fermat's last theorem?

I read from the newspaper that Mochizuki's proof of the ABC conjecture implies the Fermat's last theorem. Is it true? I think it implies the proof only for large enough exponents?
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2answers
68 views

Evaluate a function along a complex curve

Well, I don't know this question is appropriate but I really need to understand it. So, please help me. In the book Love and Math, The heart of hidden reality of Edward Frenkel, chapter 15, he said :...
2
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2answers
180 views

What are some things that mathematics students know, but others don't

Someone asked it on Quora and I answered to my best. What other things I can add to it, as it is well received there and carries nice information to non-mathematics people. Here is my answer ...
9
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0answers
285 views

A question on popularization of math: inspiring the beauty of mathematics while making New Year's wishes

Many fellow students of mine today shared by various means the following picture: . I was told that this picture is supposed to communicate the beauty of math in a funny way, but I really can't ...
43
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1answer
1k views

Sheldon Cooper Primes

On the $73^{\text{rd}}$ episode of the Big Bang Theory, Dr. Sheldon Cooper, an astrophysicist portrayed by Jim Parsons $(1973 - \stackrel{\text{hopefully}}{2073})$ revealed his favorite number to be ...
2
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1answer
48 views

A Very Elementary Article or Webpage about Secret Sharing

I'm looking for an article or webpage about secret sharing with Latin squares, accessible to middle school students. I searched but found none. Can you help me? Thanks.
1
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1answer
90 views

Can these phenomena occur within Non-Euclidean geometries?

I've enrolled in an undergraduate seminar on the subject of non-euclidean geometry. I wanted to ground myself a little before-hand, because popular media has lead me to believe that non-euclidean ...
0
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0answers
41 views

'Popular mathematics' resource about infinite ordinals

The 'popular mathematics' literature (think Martin Gardner, William Dunham, Hofstadter, and the like) abounds with material on the mathematics of infinite cardinals, starting - and quite often ending -...
2
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2answers
138 views

What is the meaning of this (potentially humorous) mathematical equation?

The equation in the image shown below (outlined in blue) was found on the cover of a magazine, along with several other "math equation jokes" like the "I heart pi" joke. My friends and I haven't been ...
11
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1answer
264 views

Mathematics of the Ice Bucket Challenge

I've been considering the mathematics of the now global ice bucket challenge. Simple model In the simplest incarnation, there is one original seed, who then nominates 3 others, each of which take ...
3
votes
2answers
2k views

Is the Nash Equilibrium example in a “Beautiful Mind” accurate?

I was wondering if the Nash Equilibrium example shown in the movie A Beautiful Mind is accurate? and if not, what's wrong with it? Thanks
5
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4answers
10k views

What is fleventy five?

In an episode of "Silicon Valley", one of the characters goes on a rant about how smart he is and cut his teeth on 'hex tables', and he says, "ask me what F times 9 is. It's fleventy-five!" This is ...
3
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1answer
408 views

Fourier Transformation: an Animated GIF

Here I found the animated GIF below. I don't get it! Would someone explain it please?
9
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9answers
1k views

A Poster About Prime Numbers [closed]

We're going to design a poster about prime numbers, which will appear in a mathematics magazine for middle school students. The poster should be both visually attractive and mathematically rich. Do ...
0
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2answers
513 views

Google Code Jam's Cookie Clicker Program…

Today, the Google Code Jam's cookie clicker problem was something like this. Problem In this problem, you start with 0 cookies. You gain cookies at a rate of 2 cookies per second, by ...
59
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8answers
33k views

Probability that random moves in the game 2048 will win

I have recently played the game 2048, created by Gabriele Cirulli, which is fun. I suggest trying if you have not. But my brother posed this question to me about the game: If he were to write a ...
6
votes
2answers
243 views

Weird Al Yankovic's Partial Differential Equation

In Weird Al Yankovic's music video "White and Nerdy" (1:20-1:36), there are flashes of a partial differential equation: $$\left(-\frac{h^2}{2\mu}\nabla^2 - \frac{e^2}{r}\right)\psi(r)=E\psi(r)$$ ...
2
votes
1answer
165 views

Math in TV: What episode of law & order is “the eigenvalue is off” from?

I'm trying to compile some clips of math in popular culture to save for various math talks I give. I know that in some episode of law and order, detective Max Greevey (he is only in season 1 I believe)...
5
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2answers
523 views

Is this really a formula of number theory? (Number theory in “Beyond: two souls”)

While watching a video of someone playing the video game Beyond: two souls, I saw the next formula $$N_k=\frac{1}{k}\sum_{d|k}\mu(d)n^{k/d}\text{,}$$ which clearly is a reference to number theory ...
1
vote
2answers
239 views

A problem for math lovers to count the digits

Today a classmate of mine asked a question which is based on counting. Question. Find a positive integer which when multiplied up to $6$ times will give numbers having the same digits but rearranged ...
19
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2answers
802 views

“Bad” Mathematics in Movies

There's a website and a companion book to it about bad physics in movies, called "Insultingly Stupid Movie Physics". Similar issues may exist about mathematics: What are the differences between ...
20
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3answers
1k views

A problem V.I. Arnold solved as a primary school student

According to a 1995 interview that Vladimir I. Arnold gave to the Notices of the AMS, his primary school teacher I.V. Morozkin gave in 1949 (when Arnold was 12 years old) to a Soviet classroom, most ...
16
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2answers
11k views

What is the best strategy for Cookie-Clicker-esque games?

Today, I stumbled across the game Cookie Clicker, which I recommend you avoid until you have at least a few hours of time to waste. The basic idea behind the game is this: You have a large stash of ...
8
votes
3answers
748 views

Is there something to the “let $\varepsilon < 0$” joke that I'm missing?

Sorry if this is the wrong place to ask this, but I feel it's a question of vital importance to the future of math education. I hear this listed as a "math joke" all the time and I've never got it. ...
12
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3answers
307 views

New mathematical results in fiction work

On the surreal numbers page on Wikipedia it says: They were introduced in Donald Knuth's 1974 book Surreal Numbers: How Two Ex-Students Turned on to Pure Mathematics and Found Total Happiness. ...