Latex formulas

Question 1

Question

is this formula correct?

$\begin{aligned} \left( \sum_{k=1}^n a_k b_k \right)^2 \leq \left( \sum_{k=1}^n a_k^2 \right) \left( \sum_{k=1}^n b_k^2 \right) \end{aligned}$

Answer

YES
NO
$\begin{aligned} \left( \sum_{k=1}^n a_k b_k \right)^2 \leq \left( \sum_{k=1}^n a_k^2 \right) \left( \sum_{k=1}^n b_k^2 \right) \end{aligned}$

Question 2

Question

$\begin{aligned} \mathbf{V}_1 \times \mathbf{V}_2 = \begin{vmatrix} \mathbf{i} & \mathbf{j} & \mathbf{k} \\ \frac{\partial X}{\partial u} & \frac{\partial Y}{\partial u} & 0 \\ \frac{\partial X}{\partial v} & \frac{\partial Y}{\partial v} & 0 \end{vmatrix} \end{aligned}$

Answer

Parameters not OK
Parameters OK

Question 3

Question

$\begin{aligned} P(E) = {n \choose k} p^k (1-p)^{ n-k} \end{aligned}$

Answer

$\begin{aligned} \dot{x} & = \sigma(y-x) \\ \end{aligned}$
$\begin{aligned} \dot{y} & = \rho x - y - xz \\ \end{aligned}$
$\begin{aligned} \dot{z} & = -\beta z + xy \end{aligned}$

Question 4

Question

True or false?

Answer

True
False

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Latex formulas

Description

Resource summary

Question 1

Question 2

Question 3

Question 4

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	Created by Chris Smith almost 11 years ago