Mathematics

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

14%

+0 −10

How can 3/1 ≡ 1/(1/3), when left side features merely integers, but right side features a repetend?

2 answers · posted 1y ago by Chgg Clou‭ · last activity 1y ago by Snoopy‭

arithmetical-hierarchy

81%

+7 −0

Does this construction always give a topological vector space?

0 answers · posted 2y ago by celtschk‭ · edited 2y ago by r~~‭

topology linear-algebra topological-vector-spaces

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

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

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

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

probability

40%

+0 −1

How to visualize division in the Odds form of Bayes's Theorem?

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

probability

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

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

62%

+3 −1

Why are you permitted to define $1 − 1 + 1 − 1 + . . .$?

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

number-theory

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

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

71%

+3 −0

What're the orders for equation expressing?

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

exponent equation order grouping arithmetic

20%

+0 −6

Without trial and error, average(average(a,b),c) vs. average(a,average(b,c)). [closed]

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

arithmetic

75%

+4 −0

Missing a solution: Are A and B always equal if A-B=0

3 answers · posted 2y ago by re89j‭ · last activity 2y ago by tommi‭

logic equation algebra problem

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

77%

+5 −0

Is $f(x)=\sin(x)$ the unique function satisfying $f'(0)=1$ and $f^{(n)}(\Bbb R)\subset [-1,1]$ for all $n=0,1,\ldots$?

1 answer · posted 1y ago by Grove‭ · edited 1y ago by Pavel Kocourek‭

derivatives real-analysis

85%

+10 −0

Complex numbers in 2D, quaternions in 4D, why nothing in 3D?

2 answers · posted 2y ago by Fred Wamsley‭ · last activity 2y ago by Derek Elkins‭

quaternions

66%

+2 −0

Do these major triangle lines have names?

0 answers · posted 3y ago by Peter Taylor‭

euclidean-geometry triangle plane-geometry nomenclature

37%

+1 −3

What's wrong with evaluating $n(n-1) \dots (n-[k-3])(n-[k-2])\color{red}{(n-[k-1])}$ at $k = 1$?

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

notation

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 2y ago by whybecause‭ · edited 2y ago by Derek Elkins‭

real-analysis Lp-space

50%

+0 −0

How to intuit : married smokers × all people < all smokers × all married people ?

0 answers · posted 3y ago by Chgg Clou‭

probability

60%

+1 −0

How's it possible to arrange 0 objects? How can 0! = 1?

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

combinatorics

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

What is the meaning of integration under integral sign?

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

calculus integration

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 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

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

60%

+1 −0

Are vectrices useful for calculations as opposed to formalism?

1 answer · posted 2y ago by Fred Wamsley‭ · last activity 2y ago by Derek Elkins‭

Vectrix Numerical

71%

+3 −0

Find limits of integration in polar coordinates

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

calculus double-integrals polar

28%

+0 −3

How can I exploit symmetry to intuit P(A wins) + P(B wins) = 1, without performing algebra?

0 answers · posted 3y ago by DNB‭

probability

28%

+0 −3

Are Stars and Bars in Combinatorics related to the Fence Post Error?

0 answers · posted 3y ago by DNB‭

combinatorics

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

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

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%

+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

60%

+1 −0

proving relative lengths on a secant

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

euclidean-geometry

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 3y ago by DNB‭

probability

71%

+3 −0

"Pointwise equicontinuity implies uniform" implies compact

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

real-analysis equicontinuity continuity metric-spaces

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

66%

+2 −0

ratio of partial sums of the same geometric sequence

1 answer · posted 2y ago by msh210‭ · last activity 2y ago by Peter Taylor‭

geometric-sequence partial-sum

77%

+5 −0

Notation for one-sided hypothesis testing

1 answer · posted 2y ago by tommi‭ · last activity 9mo ago by Glen_b‭

statistics notation hypothesis-testing

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

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

57%

+2 −1

Third kind of infinite

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

set-theory

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

probability

66%

+2 −0

Find $y=b\cos^3\theta$ and, $x=a\sin^3\theta$ from hypocycloid's formula

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

calculus hypocycloid parametric-equation

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

Communities