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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.

339 posts   RSS
Activity Age Score Random
Filters (None)
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
28%
+0 −3
After $n - 2$ unchosen doors are opened, how does the probability of the $n - 2$ unchosen doors "shift" or "transfer" to the lone unchosen door?

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

probability
71%
+3 −0
Isn't it wrong to write that Indefinite Integral = Definite Integral with a variable in its Upper Limit?

2 answers  ·  posted 3y ago by TextKit‭  ·  edited 3y ago by The Amplitwist‭

calculus
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
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
66%
+2 −0
Why aren't $z_1=f(xy)$ and $z_2=f(x/y)$ functions of 2 variables?

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

calculus
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
77%
+5 −0
Which of the multiple definitions of correlation to use?

0 answers  ·  posted 3y ago by Mithrandir24601‭  ·  last activity 3y ago by r~~‭

statistics correlation
57%
+2 −1
If $n = xm$ and $n \rightarrow \infty$, then $m \rightarrow \infty$?

1 answer  ·  posted 3y ago by TextKit‭  ·  last activity 3y ago by The Amplitwist‭

calculus
33%
+0 −2
How can I visualize the Law of Total Probability with extra conditioning?

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

probability visualization
50%
+0 −0
How does $\lim\limits_{n \to \infty} \dfrac{p[s + (1 - s)c^n]}{p[ s + (1 - s)c^n] + (1 - p)[s + (1 - s)w^n]} = p?$

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

limits
28%
+0 −3
What is topology? When a person should learn it? [closed]

0 answers  ·  posted 2y ago by deleted user  ·  closed 2y ago by Peter Taylor‭

topology soft-question
33%
+0 −2
Why should the near-zero prior probability, of 9/11/2001 attacks on the World Trade Centre, overwhelm any subsequent response that may have lowered the objective risk?

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

probability
81%
+7 −0
Are 3 10% chances better than one 30% chance (when penalized by a variable for failures)?

3 answers  ·  posted 3y ago by dustytrash‭  ·  last activity 3y ago by Grove‭

logic basic odds
71%
+3 −0
Including Association Analysis results into existing Classification Model

0 answers  ·  posted 3y ago by Guilherme Costa‭

classification association-rules
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
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
28%
+0 −3
In the Lost Boarding Pass Probability Problem, why couldn't Passengers 2-99 sit in Seats 1 or 100, before Passenger 100 boards?

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

probability
66%
+2 −0
Do these major triangle lines have names?

0 answers  ·  posted 2y ago by Peter Taylor‭

euclidean-geometry triangle plane-geometry nomenclature
33%
+0 −2
How does P(Monty opens door 2) = P(Monty opens door 3), and $P(\text{get car}|M_2)P(M_2) = P(\text{get car}|M_3)P(M_3)$?

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

probability
33%
+0 −2
Why so many books on introduction or bridges to proofs for undergraduates?

0 answers  ·  posted 3y ago by Chgg Clou‭  ·  edited 2y ago by r~~‭

logic
75%
+4 −0
Using maximum of forecasted values to forecast maximum

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

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

0 answers  ·  posted 3y ago by Chgg Clou‭

probability
28%
+0 −3
Are Stars and Bars in Combinatorics related to the Fence Post Error?

0 answers  ·  posted 3y ago by DNB‭

combinatorics
33%
+0 −2
If a 2nd test's independent from the 1st test, then why does $\frac{0.95}{0.05}$ figure twice in $\frac{P(D|T_1)}{P(D^C|T_1)}\frac{P(T_2|D,T_1)}{P(T_2|D^C,T_1)}$?

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

probability
75%
+4 −0
Normal in one base and not in another?

0 answers  ·  posted 3y ago by Grove‭

number-theory normal bases
25%
+0 −4
Why "only 1/10,000 men with wives they abuse subsequently murder them" ≠ P(A|G,M) & "50% of husbands who murder their wives abused them” ≠ P(G|A)?

0 answers  ·  posted 2y ago by DNB‭

probability
50%
+2 −2
How can I intuit $\dfrac{a - b}{c - d} \equiv \dfrac{{\color{red}{-}}(b - a)}{{\color{red}{-}}(d - c)} \equiv \dfrac{b - a}{d - c}$?

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

intuition
50%
+0 −0
"A occurred" vs. "something must happen"

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

probability
60%
+1 −0
differentiate under integral sign says something went wrong

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

calculus multivariable-calculus differentiation integration improper-integral
77%
+5 −0
Can we adapt Furstenberg's proof of the infinitude of primes to other interesting subsets of the integers?

0 answers  ·  posted 3y ago by HDE 226868‭  ·  edited 3y ago by msh210‭

number-theory topology
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
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
60%
+1 −0
Find the intervals on which it is increasing and those on which it is decreasing of the following function.

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

calculus derivatives real-analysis functions maxima-minima
75%
+4 −0
Given a triangle with squares on two sides, the line segments joining the centres of the squares to the midpoint of the third side are equal and perpendicular

1 answer  ·  posted 3y ago by The Amplitwist‭  ·  edited 3y ago by ArtOfCode‭

geometry complex-analysis
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
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
28%
+0 −3
Besides guaranteeing 0 ≤ P(A ∩ B) ≤ 1, why can't Independence be defined as P(A ∩ B) = P(A) +,-, or ÷ P(B)?

1 answer  ·  posted 3y ago by DNB‭  ·  edited 2y ago by DNB‭

probability
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
40%
+0 −1
How would you vaticinate to $-w_k$ from both sides of $w_{k + 1} = \dfrac{w_k - (1 - p)w_{k - 1}}{p}$?

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

probability
71%
+3 −0
Why does this definition of generalized forces work?

1 answer  ·  posted 3y ago by Technically Natural‭  ·  last activity 3y ago by Derek Elkins‭

differential-geometry lagrangian-mechanics classical-mechanics physics
44%
+2 −3
Approximation of an elliptic integral

0 answers  ·  posted 3y ago by theabbie‭

calculus
75%
+4 −0
In $P(X\leq q)$, what do we call $q$?

1 answer  ·  posted 3y ago by anoldmaninthesea‭  ·  last activity 3y ago by gramps‭

probability
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
57%
+2 −1
difference between quotient rule and product rule

3 answers  ·  posted 3y ago by deleted user  ·  last activity 3y ago by msh210‭

calculus quotient-rule product-rule
28%
+0 −3
How can I exploit symmetry to intuit P(A wins) + P(B wins) = 1, without performing algebra?

0 answers  ·  posted 2y ago by DNB‭

probability
77%
+5 −0
Finding the smallest Mersenne-number multiple of an odd integer

1 answer  ·  posted 2y ago by wizzwizz4‭  ·  last activity 2y ago by Peter Taylor‭

binary mersenne-numbers algorithm factoring
33%
+0 −2
De-mystifying tricks – If $\{x_n\}$ converges, then Cesaro Mean converges.

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

analysis
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
40%
+0 −1
Scalar that varies across one or multiple scalar axes

0 answers  ·  posted 2y ago by deleted user

scalar
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