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MathJax Test Page

MathJax Test Page

Inline Math Test

Here is an inline equation: $E = mc^2$ and another one $a^2 + b^2 = c^2$.

Block Math Test

Here is a block equation:

\[\hat{x}_{k \mid k} = \hat{x}_{k \mid k-1} + K_k (z_k - H_k \hat{x}_{k \mid k-1})\]

Conditional Probability Test

Bayes’ theorem: $P(x \mid z) = \frac{P(z \mid x) P(x)}{P(z)}$

Complex Kalman Filter Equations

Prediction Step: \(\hat{x}_{k \mid k-1} = F_k \hat{x}_{k-1 \mid k-1} + B_k u_k\)

Update Step: \(P_{k \mid k} = (I - K_k H_k) P_{k \mid k-1}\)

Matrix Equation

\(\begin{bmatrix} x \\ y \end{bmatrix} = \begin{bmatrix} a & b \\ c & d \end{bmatrix} \begin{bmatrix} u \\ v \end{bmatrix}\)

If you can see properly formatted mathematical equations above, MathJax is working correctly!

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