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General Q&A about all branches of theoretical and applied mathematics, including closely-adjacent sciences where the central question is about the math.

334 posts   RSS
Activity Age Score Random
Filters (None)
33%
+0 −2
How to intuit p = Calvin's probability of winning each game independently = $1/2 \implies$ P(Calvin wins the match) = 1/2?

1 answer  ·  posted 2y ago by DNB‭  ·  last activity 2y ago by viäränlaenen‭

probability
71%
+3 −0
Show that $\forall n \in \mathbb{Z}^{+}$, $25^n \equiv 25 \bmod{100}$.

2 answers  ·  posted 1y ago by Carefree Explorer‭  ·  edited 1y ago by Peter Taylor‭

number-theory recreational-mathematics modular-arithmetic
33%
+0 −2
Why 1. multiply the number of independent options? 2. add the number of exclusive options?

3 answers  ·  posted 2y ago by DNB‭  ·  last activity 2y ago by Tim Pederick‭

probability
71%
+3 −0
Maximize Independent Variable of Matrix Multiplication

1 answer  ·  posted 2y ago by Josh Hyatt‭  ·  edited 2y ago by Josh Hyatt‭

matrices vector
37%
+1 −3
If money's less valuable in the two-bullet case of the Russian Roulette problem, then ought you pay more to remove a bullet when the gun has $\ge 2$ bullets?

0 answers  ·  posted 3y ago by Chgg Clou‭

probability
75%
+4 −0
Is it impossible to prove Jensen's inequality by way of step functions?

1 answer  ·  posted 2y ago by whybecause‭  ·  last activity 2y ago by whybecause‭

real-analysis convex-analysis Jensen's-inequality
42%
+1 −2
How do mathematicians measure shape perimeters?

2 answers  ·  posted 2y ago by deleted user  ·  edited 2y ago by deleted user

geometry
40%
+0 −1
If C = Calvin wins the match, and $X \thicksim Bin(2, p) =$ how many of the first 2 games he wins — then why P(C|X = 1) = P(C)?

1 answer  ·  posted 2y ago by DNB‭  ·  last activity 2y ago by Peter Taylor‭

probability
40%
+0 −1
How do you calculate $P(X = n|G), P(X = n|G^C)$ by the Law of Total Probability, with extra conditioning?

0 answers  ·  posted 2y ago by DNB‭  ·  edited 2y ago by Wolgwang‭

probability
40%
+0 −1
How to find constant equal to what in integration?

1 answer  ·  posted 2y ago by deleted user  ·  last activity 2y ago by deleted user

classical-mechanics integration
50%
+1 −1
Why can an easily graphable definite integral, be labyrinthine to evaluate?

0 answers  ·  posted 3y ago by TextKit‭  ·  edited 3y ago by TextKit‭

calculus
28%
+0 −3
Explain to a 9 year old — To count each possibility c times, why divide by c? Why not subtract by c?

0 answers  ·  posted 3y ago by DNB‭

probability
50%
+0 −0
What are the 2 arithmetic means of $x + y$ and $4x - 2y$?

2 answers  ·  posted 2y ago by General Sebast1an‭  ·  last activity 2y ago by General Sebast1an‭

arithmetic sequence mean
33%
+0 −2
If k = 1, why $n(n-1) \dots \color{red}{(n-k+1)} = n$?

1 answer  ·  posted 3y ago by DNB‭  ·  edited 3y ago by DNB‭

probability
33%
+0 −2
Why isn't the probability of being void in 3 specifi c suits $\frac{1/13}{\dbinom{52}{13}}$?

0 answers  ·  posted 3y ago by DNB‭

probability
50%
+0 −0
Why paradoxical to accept \$3, and avoid betting on Dushanbe's temperature for a prize of \$10?

0 answers  ·  posted 3y ago by Chgg Clou‭  ·  edited 3y ago by thelast19digitsofpi‭

probability
40%
+0 −1
Why do 3D mental pictures usually suffice for high-dimensional geometry?

0 answers  ·  posted 3y ago by Chgg Clou‭  ·  edited 3y ago by Chgg Clou‭

geometry
42%
+1 −2
In $w_{k + 1} - w_k = (\frac{1 - p}{p})^{exponent}(w_1 - w_0)$, why isn't exponent $k + 1$?

1 answer  ·  posted 2y ago by DNB‭  ·  last activity 2y ago by leovt‭

probability
71%
+3 −0
Notation for nested exponents

1 answer  ·  posted 2y ago by JRN‭  ·  last activity 2y ago by leovt‭

notation exponents
70%
+5 −1
equilateral triangle inscribed in an ellipse

2 answers  ·  posted 2y ago by msh210‭  ·  last activity 2y ago by Anonymous‭

conics triangle
28%
+0 −3
How can Cross Multiplication be intuited or pictured? [closed]

0 answers  ·  posted 2y ago by Chgg Clou‭  ·  edited 2y ago by Chgg Clou‭

arithmetic
33%
+0 −2
Why's Pr(the running total of a fair dice rolled repeatedly = n) = $\frac16 (p_{n-1} + p_{n-2} + p_{n-3} + p_{n-4} + p_{n-5} + p_{n-6})$?

0 answers  ·  posted 2y ago by DNB‭  ·  edited 2y ago by DNB‭

probability
50%
+0 −0
What is the parallel for edges?

1 answer  ·  posted 2y ago by deleted user  ·  last activity 2y ago by r~~‭

geometry terminology
71%
+3 −0
Is Pythagorean theorem really valid in higher dimensional space?

2 answers  ·  posted 2y ago by deleted user  ·  edited 2y ago by zavier‭

pythagoras right-triangle
42%
+1 −2
How to determine area of square using Calculus in Cartesian coodinate?

3 answers  ·  posted 2y ago by deleted user  ·  last activity 2y ago by celtschk‭

calculus integration
77%
+5 −0
Getting backward of partial differentiation's chain rule

3 answers  ·  posted 2y ago by deleted user  ·  last activity 2y ago by Derek Elkins‭

multivariable-calculus differentiation chain-rule
50%
+0 −0
Solve $\int_0^{\dfrac{\pi}{6}} \sec^3 \theta \mathrm d\theta$

1 answer  ·  posted 2y ago by deleted user  ·  last activity 2y ago by deleted user

calculus integration definite-integrals
50%
+0 −0
"the people who move have a percentage of Democrats which is between these two values" — How does this furnish intuition for Simpson's Paradox?

0 answers  ·  posted 2y ago by DNB‭  ·  edited 2y ago by DNB‭

probability
28%
+0 −3
Without calculations, how can you visualize "that half the squares are white and half are black"?

1 answer  ·  posted 3y ago by DNB‭  ·  last activity 2y ago by whybecause‭

probability
50%
+1 −1
Intuitively, why does A, B independent $\iff$ A, $B^C$ independent $\iff A^C, B^C$ independent?

1 answer  ·  posted 2y ago by DNB‭  ·  last activity 2y ago by JRN‭

probability
50%
+0 −0
methodology of integration by parts ($e^{ax}\cos (bx+c)\mathrm dx$)

1 answer  ·  posted 2y ago by deleted user  ·  last activity 2y ago by r~~‭

calculus integration definite-integrals
71%
+3 −0
Why would skyrocketing the numbers of doors help laypeople intuit the Monty Hall Problem?

1 answer  ·  posted 2y ago by DNB‭  ·  edited 2y ago by DNB‭

probability
18%
+0 −7
Why is -1 needed to get 65,535 from a 2^16 binary power calculation?

1 answer  ·  posted 3y ago by deleted user  ·  last activity 3y ago by Canina‭

computability power binary
37%
+1 −3
How can you analogize mathematical induction to dominoes falling, if some domino can fail to topple? [closed]

1 answer  ·  posted 2y ago by Chgg Clou‭  ·  closed 2y ago by Peter Taylor‭

induction
40%
+0 −1
How to visualize division in the Odds form of Bayes's Theorem?

0 answers  ·  posted 2y ago by DNB‭  ·  edited 2y ago by DNB‭

probability
57%
+2 −1
Why rational to be indifferent between two urns, when urn A has 50-50 red and white balls, but you don't know urn B's ratio?

2 answers  ·  posted 3y ago by Chgg Clou‭  ·  last activity 3y ago by celtschk‭

probability
75%
+4 −0
Optimising a 3 value problem (well 2 really)

1 answer  ·  posted 2y ago by KalleMP‭  ·  last activity 2y ago by Peter Taylor‭

analysis formula algorithm
60%
+1 −0
Prove $(\cos^3\theta+\sin^3\theta)^2= \cos^6\theta(1+\tan^3\theta)^2$

2 answers  ·  posted 2y ago by deleted user  ·  last activity 2y ago by Peter Taylor‭

trigonometry
33%
+0 −2
What story and two-digit Natural Numbers best fit Bayes' Theorem chart?

0 answers  ·  posted 3y ago by DNB‭  ·  reopened 3y ago by Monica Cellio‭

probability
50%
+0 −0
How's the outcome of airplane crashes almost always certain, but the probability is not? [closed]

0 answers  ·  posted 3y ago by Chgg Clou‭  ·  edited 3y ago by Chgg Clou‭

probability
40%
+0 −1
How to visualize multiplication in the Odds form of Bayes's Theorem?

0 answers  ·  posted 2y ago by DNB‭  ·  edited 2y ago by DNB‭

probability
60%
+1 −0
How does Pr(an event next year) $= 1/100$ imply Pr(at least one of these events occurring in the next 25 years) $> 1/5$?

1 answer  ·  posted 3y ago by Chgg Clou‭  ·  last activity 3y ago by Nat‭

probability
33%
+0 −2
Intuitively, why can $a, b$ cycle in ${\color{red}{b}} = \frac c{\color{red}{a}} \iff {\color{red}{a}} = \frac c{\color{red}{b}}$?

3 answers  ·  posted 2y ago by Chgg Clou‭  ·  last activity 2y ago by whybecause‭

arithmetic
33%
+0 −2
Out of 4 people, why does ways to choose a 2-person committee overcount by 2 the ways to divide the 4 into 2 teams of 2?

1 answer  ·  posted 3y ago by DNB‭  ·  last activity 2y ago by Tim Pederick‭

probability
71%
+3 −0
What does the distribution of a strictly increasing random walk look like if you stop at `N` steps?

0 answers  ·  posted 2y ago by SherlockSage‭  ·  edited 2y ago by SherlockSage‭

combinatorics
40%
+0 −1
Why must percent change divide the difference by the old, NOT new, value?

1 answer  ·  posted 2y ago by Chgg Clou‭  ·  last activity 2y ago by celtschk‭

percentage
50%
+0 −0
How to quantify "married people are less likely than the average person to smoke", "smokers are less likely than the average person to be married"?

1 answer  ·  posted 3y ago by Chgg Clou‭  ·  last activity 3y ago by thelast19digitsofpi‭

probability
50%
+0 −0
How to derive some trigonometric formulas?

2 answers  ·  posted 3y ago by deleted user  ·  last activity 3y ago by deleted user

trigonometry
50%
+0 −0
Prove that $\int \ddot{x}(t)\mathrm dt=v_0 + \frac{F_0}{m}t$

1 answer  ·  posted 2y ago by deleted user  ·  last activity 2y ago by celtschk‭

classical-mechanics integration
77%
+5 −0
Notation for one-sided hypothesis testing

1 answer  ·  posted 2y ago by tommi‭  ·  last activity 8mo ago by Glen_b‭

statistics notation hypothesis-testing
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