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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.

342 posts   RSS
Activity Age Score Random
Filters (None)
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
Probability of students given there are groups

0 answers  ·  posted 3y ago by Pranav_M99‭  ·  edited 2y ago by Peter Taylor‭

probability statistics
50%
+0 −0
How does the change of variable $\color{red}{r↦n−r}$ transmogrify $\sum\limits_{r=0}^n2^{n-r}\binom{n+r}{n}=2^{2n}$ into $\sum\limits_{k=0}^{n} \frac{\binom{2n-k}{n}}{2^{2n-k}}=1$?

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

summation
50%
+0 −0
Second mean value theorem proof (differentiation)

0 answers  ·  posted 3y ago by deleted user  ·  edited 3y ago by deleted user

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

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

calculus integration definite-integrals
50%
+1 −1
Rules of checking differentiability for Rolle's theorem

0 answers  ·  posted 3y ago by deleted user  ·  edited 3y ago by deleted user

calculus real-analysis limits differentiability rolle's-theorem
50%
+0 −0
What was Justice Scalia's mathematical mistake in Penry v. Lynaugh (1989)?

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

probability
50%
+0 −0
Why mustn't the proportion of smokers among married people be the same as the proportion of smokers in the whole population?

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

probability
50%
+0 −0
Why isn't $\Pr(diseased|+ test) = \dfrac{\text{number of true positives}}{\text{number of false positives}}$?

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

probability
50%
+0 −0
How to intuit : married smokers × all people < all smokers × all married people ?

0 answers  ·  posted 3y ago by Chgg Clou‭

probability
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%
+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
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
50%
+1 −1
How can Abraham Wald's approach lead you to ignore crucial features of a problem?

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

intuition
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
50%
+2 −2
What story and one-digit Natural Numbers explain Bayes' Theorem chart most simply?

0 answers  ·  posted 3y ago by DNB‭  ·  edited 3y ago by Moshi‭

probability
50%
+0 −0
How can I visualize this Compound Interest Chart with indefinite integrals?

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

visualization
50%
+0 −0
How can I visualize dividing by a fraction as partial and full groups?

0 answers  ·  posted 3y ago by Chgg Clou‭

visualization
50%
+2 −2
What kind of logic does “Logic in the Theory and Practice of Lawmaking” employ?

0 answers  ·  posted 3y ago by Chgg Clou‭

logic
50%
+0 −0
The effect of measurement accuracy and rounding on hypothesis testing

0 answers  ·  posted 26d ago by tommi‭  ·  edited 26d ago by tommi‭

statistics hypothesis-testing rounding
50%
+0 −0
Introducing a dependent function in the metalanguage without pi-types

0 answers  ·  posted 22d ago by user205‭  ·  edited 22d ago by user205‭

type-theory
44%
+2 −3
How to compare lotteries, when one has highest probability of winning the jackpot, but another the highest Expected Value?

1 answer  ·  posted 12mo ago by Chgg Clou‭  ·  last activity 12mo ago by tommi‭

lottery
44%
+2 −3
Cyclical or “loop” fractals?

2 answers  ·  posted 3mo ago by Julius H.‭  ·  last activity 11d ago by pbloem‭

real-analysis fractal
44%
+2 −3
Intuitively, what does the 1 mean in $\dfrac{a}{b} = \dfrac{1}{\frac{b}{a}}$?

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

intuition
44%
+2 −3
Approximation of an elliptic integral

0 answers  ·  posted 3y ago by theabbie‭

calculus
42%
+1 −2
How can I visualize $\lim\limits_{x \rightarrow \pm \infty} f(x) = \lim\limits_{t \rightarrow 0^{\pm}} f(1/t)$?

1 answer  ·  posted 3y ago by TextKit‭  ·  last activity 3y ago by thelast19digitsofpi‭

visualization
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 3y ago by DNB‭  ·  last activity 3y ago by leovt‭

probability
42%
+1 −2
How do mathematicians measure shape perimeters?

2 answers  ·  posted 3y ago by deleted user  ·  edited 3y ago by deleted user

geometry
42%
+1 −2
How to determine area of square using Calculus in Cartesian coodinate?

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

calculus integration
42%
+1 −2
Intuitively, why would organisms — that after one minute, will either die, split into two, or stay the same, with equal probability — all die ultimately?

1 answer  ·  posted 3y ago by DNB‭  ·  last activity 3y ago by Peter Taylor‭

probability
42%
+1 −2
Is $r \times \frac{d}{dt} mv=\frac{d}{dt} (r \times mv)$

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

differentiation
42%
+1 −2
1 picture proof for the triangle inequality and the reverse triangle inequality

0 answers  ·  posted 9mo ago by Este‭  ·  edited 9mo ago by trichoplax‭

visualization
42%
+1 −2
What is the significance of the K-axiom in modal logic S5?

1 answer  ·  posted 3mo ago by Julius H.‭  ·  edited 1mo ago by xamidi‭

modal-logic proof-theory hilbert-systems axioms
42%
+1 −2
Explain derived categories to someone without a strong background in homological algebra [closed]

0 answers  ·  posted 3mo ago by Julius H.‭  ·  closed 3mo ago by Peter Taylor‭

category-theory
42%
+1 −2
How to intuit P(win the same lottery twice) $= p^{2}$ vs. P(win the same lottery twice | you won the lottery once) $= p$?

2 answers  ·  posted 1y ago by Chgg Clou‭  ·  edited 1y ago by Chgg Clou‭

lottery
42%
+1 −2
Picture proof for expansion of $x^n−y^n$

2 answers  ·  posted 9mo ago by Este‭  ·  last activity 9mo ago by Peter Taylor‭

visualization
40%
+0 −1
While pictorializing $|x - y| < |x + y|$, how can 1 picture simultaneously prove (Reverse) △ Inequalities, $|x-y| ≤ |x|+|y|, |x|-|y| ≤ |x-y|$? [duplicate]

0 answers  ·  posted 8mo ago by Tortilla‭  ·  closed as duplicate 8mo ago by Peter Taylor‭

visualization
40%
+0 −1
What is a one-variable fragment of first-order logic?

0 answers  ·  posted 3mo ago by Julius H.‭

logic
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
40%
+0 −1
Notation for Euclidean Norm

1 answer  ·  posted 3y ago by Guilherme Costa‭  ·  last activity 3y ago by tommi‭

notation
40%
+0 −1
What does "individuals discount the future in a constant manner" mean?

0 answers  ·  posted 3y ago by Chgg Clou‭

probability
40%
+0 −1
Existence of a set of all sets

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

set-theory
40%
+2 −4
Why does “unless” mean “if not”?

2 answers  ·  posted 3y ago by PSTH‭  ·  edited 3y ago by Peter Taylor‭

logic
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
Can the bijection for the Lost Boarding Pass Probability Problem, be formulated or pictured?

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

combinatorics
40%
+0 −1
How can a 15 year old construe the LHS of Generalized Vandermonde's Identity, when it lacks summation limits and a summation index?

2 answers  ·  posted 2y ago by DNB‭  ·  last activity 2y ago by r~~‭

summation
40%
+0 −1
To correct for overcounting, why can't we divide by the sum of the over-counts? [duplicate]

0 answers  ·  posted 2y ago by DNB‭  ·  closed as duplicate 2y ago by Peter Taylor‭

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
40%
+0 −1
Why's a 2-player game with "win by two" rule = Gambler's Ruin where each player starts with $2? Why N = 4?

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

probability
40%
+0 −1
If A & B are joint, can Arby recoup some of his loss only when $P_{Arby}(A \cup B) < P_{Arby}(A) + P_{Arby}(B)$?

0 answers  ·  posted 3y ago by DNB‭  ·  edited 2y ago by DNB‭

probability
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