Mathematics

33%

+0 −2

What is "continuous" in Math?

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

terminology

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%

+0 −0

Is $x=\int \int \ddot{x}\mathrm dx \mathrm dx$?

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

multivariable-calculus

66%

+2 −0

Do these major triangle lines have names?

0 answers · posted 2y ago by Peter Taylor‭

euclidean-geometry triangle plane-geometry nomenclature

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

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

42%

+1 −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

Book suggestion for Tensor Calculus (Differential geometry)

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

tensor-calculus book-suggestion

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

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

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

40%

+0 −1

Scalar that varies across one or multiple scalar axes

0 answers · posted 2y ago by deleted user

scalar

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

How to vaticinate calculating $w_{k + 1} = w_1(1 + \dfrac{1- p}{p} + \dots + [\dfrac{1- p}{p}]^k)$ separately for $p = 1 - p$ and $p \neq 1 - p$?

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

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 2y ago by DNB‭ · edited 2y ago by DNB‭

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

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

81%

+7 −0

When and how should the $Z_n^2$ statistic be used?

1 answer · posted 2y ago by HDE 226868‭ · last activity 2y ago by HDE 226868‭

statistics

71%

+3 −0

What is a dummy variable (in an integral)?

1 answer · posted 2y ago by deleted user · edited 2y ago by JRN‭

calculus integration gamma-function beta-function

66%

+2 −0

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

1 answer · posted 2y ago by deleted user · edited 2y ago by deleted user

calculus hypocycloid parametric-equation

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

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

40%

+0 −1

What is the meaning of integration under integral sign?

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

calculus integration

37%

+1 −3

How can "information about the birth season" bring "at least one is a girl" closer to "a specific one is a girl"?

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

probability

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 2y ago by DNB‭ · last activity 2y ago by Peter Taylor‭

probability

44%

+2 −3

Why does “unless” mean “if not”?

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

logic

25%

+0 −4

In the Monty Hall problem, why can you just assume the contestant picked door 1? Why are you entitled to relabel the doors, or rewrite this solution with the door numbers permuted?

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

probability

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

33%

+0 −2

Why so many books on introduction or bridges to proofs for undergraduates?

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

logic

28%

+0 −3

How do these 3 bell curves of Likelihood, Posterior, Prior pictorialize the Odds form of Bayes' rule?

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

probability

60%

+1 −0

differentiate under integral sign says something went wrong

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

calculus multivariable-calculus differentiation integration improper-integral

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%

+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

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

limits

28%

+0 −3

Intuitively, if you pick k out of n objects singly without replacement, why's the number of possible outcomes NOT $n(n-1) \dots [(n-(k - 1)]\color{red}{(n - k)}$?

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

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

50%

+0 −0

How to derive some trigonometric formulas?

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

trigonometry

66%

+2 −0

$\sum_{k=0}^{n} \binom{n}{k}=2^{n} \overset{?}{\iff} \sum_{k=0}^{n} \binom{2n+1}{k}=2^{2n}$

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

combinatorics

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 2y ago by deleted user · last activity 2y ago by deleted user

calculus derivatives real-analysis functions maxima-minima

33%

+0 −2

Why isn't the probability of being void in 3 specific suits $\frac{1/13}{\dbinom{52}{13}}$?

0 answers · posted 2y ago by DNB‭

probability

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 2y ago by DNB‭ · edited 2y ago by Moshi‭

summation

50%

+1 −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 2y ago by Chgg Clou‭ · last activity 2y ago by celtschk‭

probability

50%

+0 −0

Differentiating a series expansion of an arbitrary function

1 answer · posted 2y ago by deleted user · edited 2y ago by Mithrandir24601‭

calculus derivatives differentiation

50%

+0 −0

A formal-logic formula for decimal to binary conversion

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

bases conversion

50%

+1 −1

Rules of checking differentiability for Rolle's theorem

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

calculus real-analysis limits differentiability rolle's-theorem

50%

+0 −0

Second mean value theorem proof (differentiation)

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

calculus real-analysis differentiation

33%

+0 −2

If k = 1, why $n(n-1) \dots \color{red}{(n-k+1)} = n$?

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

probability

28%

+0 −3

Why shouldn't the Bose-Einstein value be used to calculate birthday probabilities?

0 answers · posted 2y ago by DNB‭

probability

33%

+0 −2

You're sampling k people from a population of size n one at a time, with replacement and with equal probabilities. Order or not?

0 answers · posted 2y ago by DNB‭

probability

Communities