Question

What is the difference between a definition and a characterization?

score 1k · Answer 1 · 2018-04-09 22:09:04

1k

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What is the difference between a definition and a characterization?

Published on 09 Apr 2018 - 22:09

score 28 · Answer 2 · 2018-04-10 04:36:01

28

Views

On Equivalence of Algebraic Expressions

Published on 10 Apr 2018 - 4:36

score 156 · Answer 3 · 2018-04-10 13:28:13

156

Views

Axioms in Tao's Analysis seem different from those in MathWorld?

Published on 10 Apr 2018 - 13:28

score 3.1k · Answer 4 · 2018-04-10 13:51:34

3.1k

Views

The difference between inverse function and a function that is invertible?

Published on 10 Apr 2018 - 13:51

score 350 · Answer 5 · 2026-03-17 17:19:24

350

Views

Is it possible to say that $\arg(0)= \infty $ since it's not undefined or it is $0$ since $0|0$?

Published on 17 Mar 2026 - 17:19

score 217 · Answer 6 · 2018-04-10 17:24:38

217

Views

How one can define rigorously the time and space complexities of algorithms?

Published on 10 Apr 2018 - 17:24

score 131 · Answer 7 · 2026-03-25 17:38:03

131

Views

Verify that $\lim_{h\to0} (1+hx)^{1/h} = e^x$

Published on 25 Mar 2026 - 17:38

score 61 · Answer 8 · 2026-03-25 07:48:35

61

Views

Question About Definition for the Rank of a Matrix

Published on 25 Mar 2026 - 7:48

score 675 · Answer 9 · 2018-04-11 09:29:15

675

Views

Are complex numbers just vectors defined by cosine (x axis) and sine (y-axis)?

Published on 11 Apr 2018 - 9:29

score 122 · Answer 10 · 2018-04-11 11:24:45

122

Views

Definition of Variable

Published on 11 Apr 2018 - 11:24

score 55 · Answer 11 · 2026-03-25 03:16:42

55

Views

inverse continuous function (definition)

Published on 25 Mar 2026 - 3:16

score 868 · Answer 12 · 2018-04-12 16:34:54

868

Views

Deriving properties of logarithms from the definition $\ln(x) = \int_{1}^{x} \frac{\mathrm{d}t}{t}$

Published on 12 Apr 2018 - 16:34

score 101 · Answer 13 · 2026-03-25 03:04:13

101

Views

Is it axiom (implicit or explicit) that result of division (f(x) - f(x1)) / (x - x1) for x not equal to x1, is also true for x = x1?

Published on 25 Mar 2026 - 3:04

score 901 · Answer 14 · 2018-04-14 11:47:00

901

Views

Field with one element in an elementary context

Published on 14 Apr 2018 - 11:47

score 1k · Answer 15 · 2026-03-25 02:58:53

1k

Views

More formal definitions for "equation", "expression", "term"?

Published on 25 Mar 2026 - 2:58

List Question

What is the difference between a definition and a characterization?

On Equivalence of Algebraic Expressions

Axioms in Tao's Analysis seem different from those in MathWorld?

The difference between inverse function and a function that is invertible?

Is it possible to say that $\arg(0)= \infty $ since it's not undefined or it is $0$ since $0|0$?

How one can define rigorously the time and space complexities of algorithms?

Verify that $\lim_{h\to0} (1+hx)^{1/h} = e^x$

Question About Definition for the Rank of a Matrix

Are complex numbers just vectors defined by cosine (x axis) and sine (y-axis)?

Definition of Variable

inverse continuous function (definition)

Deriving properties of logarithms from the definition $\ln(x) = \int_{1}^{x} \frac{\mathrm{d}t}{t}$

Is it axiom (implicit or explicit) that result of division (f(x) - f(x1)) / (x - x1) for x not equal to x1, is also true for x = x1?

Field with one element in an elementary context

More formal definitions for "equation", "expression", "term"?

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