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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.

374 posts RSS
Activity Age Score Random
Filters (None)
75%
+4 −0
Are we in a "history-valley" for Topology?

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

topology history-philosophy-of-math
33%
+0 −2
Intuitively, why does $p$ vary inversely with $P(C_3 \mid D_2)$? But directly with $P(C_2 \mid D_3)$?

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

probability
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 3y ago by DNB‭  ·  edited 3y ago by DNB‭

probability
33%
+0 −2
For (a variation) of the Monty Hall problem, what permits you to repaint doors 2 and 3? What permits you to replace p with $1 - p$?

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

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 3y ago by Chgg Clou‭  ·  last activity 3y ago by whybecause‭

arithmetic
75%
+4 −0
$\int_{E_n} |g|^q = \left| \int_E \chi_{E_n}\cdot \text{sgn}(g)\cdot g \cdot |g|^{q-1}\cdot |g| \right|$

0 answers  ·  posted 3y ago by whybecause‭  ·  edited 3y ago by Derek Elkins‭

real-analysis Lp-space
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 3y ago by whybecause‭

probability
50%
+1 −1
In general, does $\color{forestgreen}{P(A|M)} + \color{red}{P(B|M)} = 1$?

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

probability
50%
+1 −1
Acceptable, usual to write $\ge 2$ pipes simultaneously?

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

probability
50%
+0 −0
How does $P(C > D \mid C = 2) \neq P(C > D \mid C \neq 2)$ prove that B > C depends on C > D?

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

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

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

pythagoras right-triangle
33%
+0 −2
Is Mathematical Induction truly "induction", or misnamed? [closed]

3 answers  ·  posted 3y ago by Chgg Clou‭  ·  closed 3y ago by Peter Taylor‭

induction
33%
+0 −2
How do mathematicians measure area for points?

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

geometry area point border perimeter
40%
+0 −1
Why must percent change divide the difference by the old, NOT new, value?

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

percentage
60%
+1 −0
If a matrix has lots of values in a column but, not in row than, what that actually called?

1 answer  ·  posted 3y ago by deleted user  ·  last activity 3y ago by 4015.alt‭

linear-algebra matrices
60%
+1 −0
What does upper indices represent?

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

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

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

geometry terminology
33%
+2 −6
Can we add without using addition?

3 answers  ·  posted 3y ago by General Sebast1an‭  ·  last activity 3y ago by DavidCary‭

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

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

arithmetic
20%
+0 −6
Without trial and error, average(average(a,b),c) vs. average(a,average(b,c)). [closed]

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

arithmetic
57%
+2 −1
Third kind of infinite

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

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

0 answers  ·  posted 3y ago by deleted user  ·  closed 3y ago by Peter Taylor‭

topology soft-question
50%
+0 −0
transpose matrix and general matrix is completely messed up

1 answer  ·  posted 3y ago by deleted user  ·  edited 3y ago by Peter Taylor‭

matrices matrix-transpose
50%
+0 −0
Probability of students given there are groups

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

probability statistics
40%
+0 −1
Can the bijection for the Lost Boarding Pass Probability Problem, be formulated or pictured?

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

combinatorics
66%
+2 −0
ratio of partial sums of the same geometric sequence

1 answer  ·  posted 3y ago by msh210‭  ·  last activity 3y ago by Peter Taylor‭

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

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

combinatorics
60%
+1 −0
What it ≡ called?

1 answer  ·  posted 3y ago by Anonymous‭  ·  last activity 3y ago by Quintec‭

symbols
40%
+0 −1
$\int dx dy dz d p_x dp_y dp_z$ Does it have any physical meaning?

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

integration line-integral integral
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 3y ago by DNB‭

probability
50%
+0 −0
If Alice must've have classes on at least 2 days, why do you need the intersection of 3 $A_i^C$'s? [closed]

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

probability
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 3y ago by DNB‭  ·  last activity 3y ago by Giannis‭

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

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

multivariable-calculus differentiation chain-rule
33%
+0 −2
Which vertical line signifies "putting the cutoff for a positive result at a very low level"?

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

probability
40%
+0 −1
What to do when there's lot of function of time? (For integration) Should I consider them as constant?

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

integration
50%
+0 −0
Consider the second of these integrals (What's the meaning of second right here?)

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

differentiation integration differentiation-under-integral
71%
+3 −0
What're the orders for equation expressing?

2 answers  ·  posted 3y ago by General Sebast1an‭  ·  last activity 3y ago by r~~‭

exponent equation order grouping arithmetic
33%
+0 −2
Why's the true positive rate termed Sensitivity and true negative rate Specificity, not vice versa? [closed]

0 answers  ·  posted 3y ago by DNB‭  ·  closed 3y ago by Peter Taylor‭

probability
28%
+0 −3
Why aren't the "21 possibilities here" NOT equally likely?

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

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

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

probability visualization
28%
+0 −3
If a repair on a vessel costs $2$ and fully repaired vessel is worth $1$, don't we need know worth of broken vessel to decide whether to repair?

0 answers  ·  posted 4y ago by Chgg Clou‭  ·  edited 3y ago by Wolgwang‭

basic
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 3y ago by DNB‭  ·  edited 3y ago by Wolgwang‭

probability
50%
+1 −1
Why $\color{red}{k\dbinom{k}{1}} \neq$ "first choose the k team members and then choose one of time to be captain"?

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

probability
33%
+0 −2
Does "both girls, ≥ 1 winter girl" = "both girls, ≥ 1 winter child" let you generalize the problem statement that postulated both children as girls?

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

probability
28%
+0 −3
How would you intuit, and soothsay to rewrite, "both girls, ≥ 1 winter girl" as "both girls, ≥ 1 winter child"?

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

probability
28%
+0 −3
How do I prove Simpson's Paradox, scilicet $P(A|B) > P(A|B^C)$?

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

probability
71%
+3 −0
Find limits of integration in polar coordinates

2 answers  ·  posted 3y ago by MissMulan‭  ·  last activity 3y ago by r~~‭

calculus double-integrals polar
33%
+0 −2
How does counting E twice explain the discrepancy between the third between C and E, third between E and G v. fifth between C and G?

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

arithmetical-hierarchy
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 3y ago by DNB‭  ·  edited 3y ago by DNB‭

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

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

differentiation
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