User hasExams - Mathematics Stack Exchange

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2

12

votes

3

answers

570

views

What exactly is Laplace transform?

laplace-transform

aug 11 at 8:30 copper.hat 28.5k

7

votes

2

answers

223

views

How to evaluate $ \int_0^\infty {1 \over x^x}dx$ in terms of summation of series?

sequences-and-series integral

aug 20 at 21:50 Community♦ 1

6

votes

7

answers

221

views

How to show that linear map is invertible?

homework linear-algebra

jan 30 at 9:39 user1551 16.6k

6

votes

0

answers

129

views

How to evaluate $\int_0^\infty {x \over 1 + x^5} \;dx $? [duplicate]

complex-analysis integral

sep 1 at 5:53 Gigili 3,153

5

votes

2

answers

145

views

how to show that $\lim_{z \to 0}z^z$ does not exist?

algebra-precalculus complex-analysis limit

jan 31 at 16:36 GEdgar 19k

2

4

votes

1

answer

164

views

how to prove $\displaystyle \frac{\sin (2n+1)\theta}{\sin \theta} = … $

complex-analysis trigonometry

feb 21 at 19:37 Marko Riedel 1,859

3

votes

3

answers

84

views

Find $ \lim_{n \to \infty } z_n $ if $z_{n+1} = \frac{1}{2} \left( z_n + \frac{1}{z_n} \right) $

sequences-and-series complex-numbers recurrence-relations

mar 17 at 19:06 achille hui 6,292

3

votes

1

answer

91

views

Two trigonometric identities using complex variables

complex-analysis trigonometry

feb 20 at 20:19 hasExams 577

3

votes

4

answers

105

views

condition for two complex number $a$ and $b$ to be $|a+b| = |a| + |b|$

complex-numbers

dec 20 at 22:24 DoomMuffins 183

1

3

votes

2

answers

131

views

How to evaluate $ \int_{-\infty}^\infty {e^{ax} \over 1 +e^x } \; dx $ [duplicate]

homework complex-analysis

sep 5 at 19:08 Mhenni Benghorbal 14k

3

votes

4

answers

158

views

How to show that $\sum\limits_{n=1}^\infty \exp(i\,nz)$ converges?

sequences-and-series complex-analysis

aug 25 at 23:27 Argon 9,248

1

3

votes

2

answers

165

views

what is the easiest way to represent $ \sqrt{1 + x} $ in series

sequences-and-series binomial-coefficients

aug 8 at 17:22 Peter Tamaroff 25.6k

1

2

votes

1

answer

50

views

calculate the roots of $z = 1 + z^{1/2}$ using Lagrange expansion

sequences-and-series complex-analysis

may 7 at 19:41 Antonio Vargas 6,700

2

votes

1

answer

64

views

expression for Remainder in Taylor theorem for complex variables

complex-analysis taylor-expansion

apr 18 at 12:51 O.L. 4,186

2

votes

1

answer

77

views

condition for roots of quartic equation to be purely imaginary

algebra-precalculus complex-analysis

feb 27 at 16:51 Thomas Andrews 29.7k

1

2

votes

1

answer

76

views

the product of diagonals of a regular polygon

complex-analysis

feb 21 at 16:23 Thomas Andrews 29.7k

2

votes

2

answers

149

views

Given two subspaces $ U, W $ of vector space $ V $, how to show that $ \text{Dim}( U) + \text{Dim} (W) = \text{Dim}(U+W) + \text{Dim} ( U \cap W) $

homework linear-algebra

jan 29 at 19:28 DoctorBatmanGod 2,440

2

votes

5

answers

404

views

Does $i^i$ and $i^{1\over e}$ have more than one root in $[0, 2 \pi]$

complex-analysis reference-request

sep 16 at 5:01 lab bhattacharjee 28.6k

2

votes

3

answers

825

views

Evaluate the integral $\int_0^{2 \pi} {\cos^2 \theta \over a + b \cos \theta}\; d\theta$

complex-analysis definite-integral

sep 2 at 18:34 Michael Hardy 48k

2

votes

2

answers

141

views

Evaluating $\sum_{k=1}^n k^x$ [duplicate]

algebra-precalculus

aug 31 at 10:15 Mhenni Benghorbal 14k

2

votes

3

answers

316

views

How to find the laplace transform of $ |\sin (t)| $?

laplace-transform

aug 30 at 4:49 shoda 698

1

vote

1

answer

84

views

Laurent expansion of $\frac{z}{z^2+1}$ valid for $|z-3|>2$

complex-analysis

may 1 at 18:46 Mhenni Benghorbal 14k

1

vote

1

answer

32

views

show $\lim_{z \to z_0^-} \sum_{k=0}^{\infty} a_k z^k = \sum_{k=0}^{\infty} a_k z_0^k$ if $z_0$ is a point on circle of convergence

complex-analysis

apr 27 at 20:54 Pedro Milet 551

1

vote

3

answers

101

views

showing $1 + z + z^2 + \dots $ uniformly converges to $\frac{1}{1-z}$ for $|z| < 1$

complex-analysis convergence

apr 27 at 19:44 Stahl 3,607

1

vote

0

answers

81

views

few short question about branch-cut and branch points

complex-analysis

mar 1 at 11:43 hasExams 577

1

vote

1

answer

44

views

Show $\left| \int_a^b f d\alpha \right| \le \int_a^b|f|dV$ if $V$ is variation of $\alpha$ on $[a, b]$

homework real-analysis integration bounded-variation

feb 9 at 2:07 Community♦ 1

1

vote

1

answer

23

views

what is the intuition behind hermitian product

linear-algebra reference-request

feb 5 at 17:35 Matt Pressland 5,369

1

vote

0

answers

184

views

what is dimension of orthogonal complement of a subspace of a vector space.

homework linear-algebra

jan 31 at 15:06 hasExams 577

1

vote

1

answer

82

views

how to show a scalar product defined by trace of matrices is non-degenerate

homework linear-algebra

jan 31 at 14:49 Babak S. 27.5k

1

vote

0

answers

120

views

how does solution of simultaneous DE of first order relate to total DE

differential-equations

aug 12 at 16:44 hasExams 577

hasExams

44 Questions