Question

Let $f$ be the function of $P(A)-${$Ø$} in $A$ defined for: $f(S)=$first element of $S$. Prove that $f$ is surjective.

score 76 · Answer 1 · 2026-04-16 03:55:49

76

Views

Let $f$ be the function of $P(A)-${$Ø$} in $A$ defined for: $f(S)=$first element of $S$. Prove that $f$ is surjective.

Published on 16 Apr 2026 - 3:55

score 74 · Answer 2 · 2026-04-16 05:30:55

74

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Any uses for non-surjective relations (not just non-surjective functions)?

Published on 16 Apr 2026 - 5:30

score 47 · Answer 3 · 2026-04-10 03:42:26

47

Views

How do I find the properties of this function?

Published on 10 Apr 2026 - 3:42

score 86 · Answer 4 · 2026-04-24 12:35:13

86

Views

Qualitative analysis of $y' = \frac {(y+1) \cdot \sinh(x)}{(y+1) \cdot \log(y+1) +y}$

Published on 24 Apr 2026 - 12:35

score 1.9k · Answer 5 · 2026-04-09 03:44:58

1.9k

Views

Is the growth on an exponential function faster than on a power function? Is this explanation valid?

Published on 09 Apr 2026 - 3:44

score 159 · Answer 6 · 2026-04-15 00:25:58

159

Views

Which one is correct of the two?

Published on 15 Apr 2026 - 0:25

score 232 · Answer 7 · 2026-04-15 10:46:47

232

Views

How to prove that $-x$ is not equal to $x$ just because they yield the same result when in $x^2$

Published on 15 Apr 2026 - 10:46

score 531 · Answer 8 · 2026-04-10 17:22:16

531

Views

Construct a bump function

Published on 10 Apr 2026 - 17:22

score 1.8k · Answer 9 · 2026-04-12 10:47:52

1.8k

Views

Is there a name for the function $1 / (1 + x)$?

Published on 12 Apr 2026 - 10:47

score 223 · Answer 10 · 2026-04-15 16:01:36

223

Views

Prove Cardinality of Sets Exponentiation

Published on 15 Apr 2026 - 16:01

score 285 · Answer 11 · 2026-04-12 20:05:00

285

Views

A property of Rational function

Published on 12 Apr 2026 - 20:05

score 67 · Answer 12 · 2026-04-15 18:00:01

67

Views

Find all function $f:\Bbb{N}_0 \rightarrow \Bbb{N}_0 $ satisfying the equation $f(f(n) + f(n) = 2n +3k,$ where $k$ is a fixed natural number

Published on 15 Apr 2026 - 18:00

score 827 · Answer 13 · 2026-04-13 03:36:55

827

Views

Continuous function on $[0,1]$, $f(0)=f(1)$

Published on 13 Apr 2026 - 3:36

score 156 · Answer 14 · 2026-04-09 09:12:05

156

Views

Point-free notation for function composition?

Published on 09 Apr 2026 - 9:12

score 96 · Answer 15 · 2026-04-13 01:17:01

96

Views

Using Newton's method to optimize the square-modulus of a complex-valued function of a real variable?

Published on 13 Apr 2026 - 1:17

List Question

Let $f$ be the function of $P(A)-${$Ø$} in $A$ defined for: $f(S)=$first element of $S$. Prove that $f$ is surjective.

Any uses for non-surjective relations (not just non-surjective functions)?

How do I find the properties of this function?

Qualitative analysis of $y' = \frac {(y+1) \cdot \sinh(x)}{(y+1) \cdot \log(y+1) +y}$

Is the growth on an exponential function faster than on a power function? Is this explanation valid?

Which one is correct of the two?

How to prove that $-x$ is not equal to $x$ just because they yield the same result when in $x^2$

Construct a bump function

Is there a name for the function $1 / (1 + x)$?

Prove Cardinality of Sets Exponentiation

A property of Rational function

Find all function $f:\Bbb{N}_0 \rightarrow \Bbb{N}_0 $ satisfying the equation $f(f(n) + f(n) = 2n +3k,$ where $k$ is a fixed natural number

Continuous function on $[0,1]$, $f(0)=f(1)$

Point-free notation for function composition?

Using Newton's method to optimize the square-modulus of a complex-valued function of a real variable?

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