Question

Why define functions with the empty domain? (specifically in primitive recursion)

score 173 · Answer 1 · 2026-04-15 11:10:42

173

Views

Why define functions with the empty domain? (specifically in primitive recursion)

Published on 15 Apr 2026 - 11:10

score 121 · Answer 2 · 2026-04-13 09:14:32

121

Views

How many functions are possible to create in this example?

Published on 13 Apr 2026 - 9:14

score 61 · Answer 3 · 2026-04-15 05:47:06

61

Views

How many possible $1:1$ functions are here that satisfy the given condition?

Published on 15 Apr 2026 - 5:47

score 336 · Answer 4 · 2026-04-05 16:25:35

336

Views

If $f(x)^2=x+(x+1)f(x+2)$, what is $f(1)$?

Published on 05 Apr 2026 - 16:25

score 324 · Answer 5 · 2026-04-17 13:21:36

324

Views

Injectiveness and surjectiveness of $f$ and of $g$, respectively, of the composition $g\circ f$.

Published on 17 Apr 2026 - 13:21

score 67 · Answer 6 · 2026-04-11 21:26:04

67

Views

What do these functions mean?

Published on 11 Apr 2026 - 21:26

score 152 · Answer 7 · 2026-04-13 23:26:39

152

Views

Is there any way to determine $\mathrm{Arg}[ \Gamma(ix) ]$?

Published on 13 Apr 2026 - 23:26

score 56 · Answer 8 · 2026-04-13 23:11:39

56

Views

Proof related to monotone functions and induction

Published on 13 Apr 2026 - 23:11

score 466 · Answer 9 · 2026-04-15 01:06:43

466

Views

When do we not have $|fg|=|f||g|$?

Published on 15 Apr 2026 - 1:06

score 46 · Answer 10 · 2026-04-15 09:05:33

Show that $\lim_{n\to\infty}f(n)/g(n)= 0 \implies \lim_{n\to\infty}3^{f(n)}/3^{g(n)} = 0?$ when both functions are monotone growing and positive

score 172 · Answer 11 · 2026-04-16 17:18:26

172

Views

Proving that $\frac{f(b)-f(a)}{b-a}+ \left(\frac{g(b)-g(a)}{b-a}\right)^2\le \max_{t\in [a,b]}\{f'(t)+(g'(t))^2\}$

Published on 16 Apr 2026 - 17:18

score 99 · Answer 12 · 2026-03-25 11:12:31

99

Views

Finding $f’(x)$ - possible answer but need help

Published on 25 Mar 2026 - 11:12

score 114 · Answer 13 · 2026-04-15 04:59:04

114

Views

Visual representation of $\sin^2 x + \cos^2 x = 1$

Published on 15 Apr 2026 - 4:59

score 136 · Answer 14 · 2026-03-25 11:10:15

136

Views

Checking if a mapping exists in a composition of partial functions

Published on 25 Mar 2026 - 11:10

score 118 · Answer 15 · 2026-04-16 16:20:49

118

Views

Question concerning: $P(n)=\left\lfloor \sqrt{n!+{n^2(n+1)\over 2}}\right\rfloor, n\ge2$

Published on 16 Apr 2026 - 16:20

List Question

Why define functions with the empty domain? (specifically in primitive recursion)

How many functions are possible to create in this example?

How many possible $1:1$ functions are here that satisfy the given condition?

If $f(x)^2=x+(x+1)f(x+2)$, what is $f(1)$?

Injectiveness and surjectiveness of $f$ and of $g$, respectively, of the composition $g\circ f$.

What do these functions mean?

Is there any way to determine $\mathrm{Arg}[ \Gamma(ix) ]$?

Proof related to monotone functions and induction

When do we not have $|fg|=|f||g|$?

Show that $\lim_{n\to\infty}f(n)/g(n)= 0 \implies \lim_{n\to\infty}3^{f(n)}/3^{g(n)} = 0?$ when both functions are monotone growing and positive

Proving that $\frac{f(b)-f(a)}{b-a}+ \left(\frac{g(b)-g(a)}{b-a}\right)^2\le \max_{t\in [a,b]}\{f'(t)+(g'(t))^2\}$

Finding $f’(x)$ - possible answer but need help

Visual representation of $\sin^2 x + \cos^2 x = 1$

Checking if a mapping exists in a composition of partial functions

Question concerning: $P(n)=\left\lfloor \sqrt{n!+{n^2(n+1)\over 2}}\right\rfloor, n\ge2$

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