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Bob Shannon

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66 Questions

Views Newest Activity Votes

votes

answers

592

views

Calculate $\frac13+\frac29+\frac{1}{27}+\frac{2}{81}+\frac{1}{243}+\frac{2}{729}+\ldots$

sequences-and-series

Apr 5 '13 at 0:08 André Nicolas 462k

votes

answers

730

views

What does $ d\tan(x) = \sec^2(x)\,dx $ mean?

calculus integration

Aug 18 '17 at 18:40 Michael Hardy 216k

votes

answers

views

Finding a non constant solution to $ (x')^2+x^2=9 $

calculus ordinary-differential-equations

Sep 18 '13 at 12:10 user64494 3,050

votes

answers

165

views

Integrating $x/(x-2)$ from $0$ to $5$

calculus integration improper-integrals

Mar 23 '13 at 0:07 robjohn♦ 281k

votes

answers

views

Showing one set is a subset of another

elementary-set-theory logic discrete-mathematics

Dec 14 '13 at 15:21 Namaste 1

votes

answers

201

views

Evaluating $ \int \frac{\sqrt{1+x}}{x} $

integration

Apr 22 '13 at 17:32 Community♦ 1

votes

answers

20k

views

Prove that if n is a perfect square, then n+2 is not a perfect square

discrete-mathematics

Jul 29 at 7:46 mlchristians 2,187

votes

answer

views

Surface integral of vector field over a unit ball

calculus

May 8 '14 at 6:38 Bob Shannon 888

votes

answers

139

views

Differential Equation and Bernoulli

calculus ordinary-differential-equations differential

Mar 16 '14 at 0:43 Community♦ 1

votes

answers

911

views

Set logic to propositional logic

elementary-set-theory propositional-calculus

Nov 17 '13 at 20:02 Julien Clancy 2,747

votes

answer

views

McLaurin Series Representation of $ f(x)=10^x $

calculus

May 7 '13 at 3:59 Alex Wertheim 16.8k

votes

answers

views

Evaluating the limit of $\ln(2x)/\ln(x)$ as $x\to\infty$

calculus

Apr 3 '13 at 1:47 George V. Williams 4,564

votes

answers

views

Determining if a Telescoping Series is convergent or not

calculus sequences-and-series

May 20 at 9:37 user228362 5

votes

answer

views

Proving that everything in a language can be generated by a grammar

formal-languages context-free-grammar

Mar 31 '16 at 22:51 dtldarek 33.2k

votes

answer

views

Fourier Transform of x(-2t+4)

fourier-analysis

May 6 '14 at 7:47 Mamal 169

votes

answers

924

views

Proving for every odd number $x$, $x^2$ is always congruent to $1$ or $9$ modulo $24$

discrete-mathematics

May 3 '14 at 12:48 Community♦ 1

votes

answer

views

Solving a second order homogenous ODE with double roots

ordinary-differential-equations

Oct 6 '13 at 17:19 Amzoti 51.8k

votes

answer

views

Solving a second order homogenous ODE with non-real complex roots

calculus ordinary-differential-equations

Oct 5 '13 at 22:02 Mhenni Benghorbal 44k

vote

answer

views

Solving a integro-differential equation

laplace-transform integro-differential-equations

Sep 24 '18 at 16:16 Adrian Keister 7,957

vote

answer

views

Partial Fraction Decomposition in $ \frac{s^3-1}{(s^2+6)^2(s+12)^2} $.

partial-fractions

Aug 7 '18 at 6:56 Nosrati 28.3k

vote

answers

views

Does a purely imaginary number have a corresponding “angle” in polar coordinate system?

complex-numbers

Apr 24 '18 at 18:43 David K 61.9k

vote

answer

850

views

Calculating expected value of a pareto distribution

probability integration probability-distributions

Apr 8 '15 at 0:38 Chappers 59.8k

vote

answers

views

Number of ways to group digits in {1,2,3,4,5,6,7,8,9} into numbers, while maintaining order

combinatorics permutations

Oct 14 '14 at 6:15 Marc van Leeuwen 92.5k

vote

answer

226

views

Proving an asymptotic run time is faster than another using L’Hôpital’s

calculus limits algorithms asymptotics

Jul 16 '14 at 17:25 Community♦ 1

vote

answers

views

Union and Intersection of Collection of Sets

discrete-mathematics

Jun 10 '14 at 12:29 Community♦ 1

vote

answers

views

Using the Modulation property of the Fourier Transform

fourier-analysis transformation

May 8 '14 at 22:42 Bob Shannon 888

vote

answer

views

Evaluating the surface integral where S is part of a plane and inside a cylinder

calculus

May 8 '14 at 4:28 David H 22.7k

vote

answers

views

Proving n is a multiple of 3 if and only if 2n is a multiple of 3

discrete-mathematics

Dec 11 '13 at 18:12 Magdiragdag 11.2k

vote

answers

views

Finding the recurrence relation of a known series $\frac{1}{2}+\frac{1}{24}+\frac{1}{720}+…$

sequences-and-series

Dec 8 '13 at 13:04 R. J. Mathar 11

vote

answer

442

views

Laplace transform of two functions

laplace-transform

Nov 24 '13 at 23:35 Mhenni Benghorbal 44k

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66 Questions

Calculate $\frac13+\frac29+\frac{1}{27}+\frac{2}{81}+\frac{1}{243}+\frac{2}{729}+\ldots$

What does $ d\tan(x) = \sec^2(x)\,dx $ mean?

Finding a non constant solution to $ (x')^2+x^2=9 $

Integrating $x/(x-2)$ from $0$ to $5$

Showing one set is a subset of another

Evaluating $ \int \frac{\sqrt{1+x}}{x} $

Prove that if n is a perfect square, then n+2 is not a perfect square

Surface integral of vector field over a unit ball

Differential Equation and Bernoulli

Set logic to propositional logic

McLaurin Series Representation of $ f(x)=10^x $

Evaluating the limit of $\ln(2x)/\ln(x)$ as $x\to\infty$

Determining if a Telescoping Series is convergent or not

Proving that everything in a language can be generated by a grammar

Fourier Transform of x(-2t+4)

Proving for every odd number $x$, $x^2$ is always congruent to $1$ or $9$ modulo $24$

Solving a second order homogenous ODE with double roots

Solving a second order homogenous ODE with non-real complex roots

Solving a integro-differential equation

Partial Fraction Decomposition in $ \frac{s^3-1}{(s^2+6)^2(s+12)^2} $.

Does a purely imaginary number have a corresponding “angle” in polar coordinate system?

Calculating expected value of a pareto distribution

Number of ways to group digits in {1,2,3,4,5,6,7,8,9} into numbers, while maintaining order

Proving an asymptotic run time is faster than another using L’Hôpital’s

Union and Intersection of Collection of Sets

Using the Modulation property of the Fourier Transform

Evaluating the surface integral where S is part of a plane and inside a cylinder

Proving n is a multiple of 3 if and only if 2n is a multiple of 3

Finding the recurrence relation of a known series $\frac{1}{2}+\frac{1}{24}+\frac{1}{720}+…$

Laplace transform of two functions