Question

Conditions for $z \in \mathbb{C} \backslash \{ 0 \}$ and $\alpha \in \mathbb{C}$ such that $z^\alpha = \exp(\alpha \log z)$

score 137 · Answer 1 · 2020-03-11 03:25:18

137

Views

Conditions for $z \in \mathbb{C} \backslash \{ 0 \}$ and $\alpha \in \mathbb{C}$ such that $z^\alpha = \exp(\alpha \log z)$

Published on 11 Mar 2020 - 3:25

score 69 · Answer 2 · 2020-03-11 18:52:05

69

Views

What is the quickest way to simplify : $\left(\frac{2u^{-5}v^2}{8w}\right)^{-2}$ ( Barton 's College Placement Test).

Published on 11 Mar 2020 - 18:52

score 464 · Answer 3 · 2020-03-11 20:32:22

464

Views

Proof of derivative of $x^n$ for all real n and real x

Published on 11 Mar 2020 - 20:32

score 141 · Answer 4 · 2026-03-25 19:00:52

141

Views

Wallis's integral and Lambert's function .

Published on 25 Mar 2026 - 19:00

score 43 · Answer 5 · 2020-03-13 19:42:48

43

Views

The limit of a family of complex sequences

Published on 13 Mar 2020 - 19:42

score 107 · Answer 6 · 2026-03-27 02:39:50

107

Views

Iterated matrix multiplication when matrix is defective

Published on 27 Mar 2026 - 2:39

score 161 · Answer 7 · 2020-03-14 03:17:10

161

Views

Factorise: $a^5+a^4+a^3+a^2+a+ 1$

Published on 14 Mar 2020 - 3:17

score 69 · Answer 8 · 2020-03-14 16:22:16

69

Views

Prove that $a,b>0$ and $a+b=1$ imply $a^{\frac{1}{(2a)^n}}+b^{\frac{1}{(2b)^n}}\leq 1$

Published on 14 Mar 2020 - 16:22

score 61 · Answer 9 · 2020-03-15 14:59:53

61

Views

From $x^N = x-1$, what can I deduce as to $N$? as to $x$?

Published on 15 Mar 2020 - 14:59

score 90 · Answer 10 · 2020-03-17 22:25:27

90

Views

Find $144^3$ mod $213$

Published on 17 Mar 2020 - 22:25

score 469 · Answer 11 · 2020-03-20 20:55:57

469

Views

Find the remainder of $3^{333}$ divided by $100$

Published on 20 Mar 2020 - 20:55

score 98 · Answer 12 · 2020-03-21 01:37:32

98

Views

Asymmetry in Exponentiation

Published on 21 Mar 2020 - 1:37

score 177 · Answer 13 · 2026-03-25 13:55:11

177

Views

One of my old inequality (very sharp)

Published on 25 Mar 2026 - 13:55

score 33 · Answer 14 · 2020-03-23 12:30:53

33

Views

Modular equivalence of $a^{-t}+b^{-t}$ and $a^t+b^t$

Published on 23 Mar 2020 - 12:30

score 93 · Answer 15 · 2020-03-23 20:04:48

93

Views

How to justify this rule stated by Symbolab Calculator : $f(x)^{g(x)} = e^{g(x)\times ln(f(x))}$

Published on 23 Mar 2020 - 20:04

List Question

Conditions for $z \in \mathbb{C} \backslash \{ 0 \}$ and $\alpha \in \mathbb{C}$ such that $z^\alpha = \exp(\alpha \log z)$

What is the quickest way to simplify : $\left(\frac{2u^{-5}v^2}{8w}\right)^{-2}$ ( Barton 's College Placement Test).

Proof of derivative of $x^n$ for all real n and real x

Wallis's integral and Lambert's function .

The limit of a family of complex sequences

Iterated matrix multiplication when matrix is defective

Factorise: $a^5+a^4+a^3+a^2+a+ 1$

Prove that $a,b>0$ and $a+b=1$ imply $a^{\frac{1}{(2a)^n}}+b^{\frac{1}{(2b)^n}}\leq 1$

From $x^N = x-1$, what can I deduce as to $N$? as to $x$?

Find $144^3$ mod $213$

Find the remainder of $3^{333}$ divided by $100$

Asymmetry in Exponentiation

One of my old inequality (very sharp)

Modular equivalence of $a^{-t}+b^{-t}$ and $a^t+b^t$

How to justify this rule stated by Symbolab Calculator : $f(x)^{g(x)} = e^{g(x)\times ln(f(x))}$

Trending Questions

Popular # Hahtags

Popular Questions