How can we show Power = $\mathbf{F}\cdot \mathbf{v}$?
56355
What does the equation $P=\vec{F}\cdot \vec{v}$ really mean?
156510
How to compute $2^{\text{some huge power}}$
39921
show that f is constant on I
48780
How t show $f=g$ almost everywhere
61144
Derivative of $x^{x^{\cdot^{\cdot}}}$?
20110
How to prove $(AB)^T=B^T A^T$
27738
Gradient of $a^T X b$ with respect to $X$
14648
Show that $f_0 - f_1 + f_2 - \cdots - f_{2n-1} + f_{2n} = f_{2n-1} - 1$ when $n$ is a positive integer
109228
Prove that $v, Tv, T^2v, ... , T^{m-1}v$ is linearly independent
97184
Show: $ f(a) = a,\ f(b) = b \implies \int_a^b \left[ f(x) + f^{-1}(x) \right] \, \mathrm{d}x = b^2 - a^2 $
127000
When does $V = \ker(f) \oplus \operatorname{im}(f)$?
15232
Proving an inequality involving real powers
36906
Prove that $x^n+x^{-n} \in \mathbf{N}$ if $x+\frac1x \in \mathbf{N}$
35337
Problem in notation: $(\vec{v}\cdot\vec{\nabla})\vec{v}$ versus $L_v(\vec{v})$
31977
How to prove sum of powers property of roots of unity?
120010
Show that $\aleph_{\alpha}^{\aleph_{1}} = \aleph_{\alpha}^{\aleph_{0}}\cdot 2^{\aleph_1}$
66406
How to calculate $f(x)$ in $f(f(x)) = e^x$?