Let $(X \times Y, e)$ be a metric space. Show that $F:A \to X \times Y$, $F(a)=(f(a),g(a))$ is uniformly continuous if $f,g$ are uniformly continuous.

score 23 · Answer 10 · 2026-04-11 17:56:36

Formula for a graphing a half circle: understanding the relationship between odd $n$ exponents (of $\sqrt{2^{n}}$) and the powers of 2

score 23 · Answer 11 · 2026-04-13 08:25:13

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Quick question for a statement I'm trying to prove with an odd order...

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score 23 · Answer 12 · 2026-04-17 14:05:12

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Why does $v(x_1, x_2)=x_1^cx_2^d$ with $a=\frac{c}{c+d}$ imply $v(x_1, x_2)=x_1^ax_2^{1-a}$?

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score 23 · Answer 13 · 2026-04-24 01:46:42

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Can we find a $W_{0}^{1,\infty}$ solution of some given partial differential equations?

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score 23 · Answer 14 · 2026-04-24 01:45:15

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find functions within specific criteria (Big O notation)

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score 23 · Answer 15 · 2026-04-12 11:49:28

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What is the error of $x_i$ at a fixed time $t_i$ when using Euler's method for the IVP $\frac{dx}{dt}=x$ with $x(0)=1$?

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Let $(X \times Y, e)$ be a metric space. Show that $F:A \to X \times Y$, $F(a)=(f(a),g(a))$ is uniformly continuous if $f,g$ are uniformly continuous.

Formula for a graphing a half circle: understanding the relationship between odd $n$ exponents (of $\sqrt{2^{n}}$) and the powers of 2

Quick question for a statement I'm trying to prove with an odd order...

Why does $v(x_1, x_2)=x_1^cx_2^d$ with $a=\frac{c}{c+d}$ imply $v(x_1, x_2)=x_1^ax_2^{1-a}$?

Can we find a $W_{0}^{1,\infty}$ solution of some given partial differential equations?

find functions within specific criteria (Big O notation)

What is the error of $x_i$ at a fixed time $t_i$ when using Euler's method for the IVP $\frac{dx}{dt}=x$ with $x(0)=1$?

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