User:Pfafrich/Blahtex \mathbf bugs

User:Pfafrich/Blahtex en.wikipedia fixup

This page is part a set of pages devoted to fixing latex bugs in the english wikipedia so that they will be compatable with the Blahtex MathML project.

Below are pages which contain \mathbf,\mathrm follow, \hat or vec' inside a math tag. Each occurence \mathbf\hat x should be replaced by \mathbf{\hat x} and when fixed the pages should be moved to the done section. Feel free to fix as necessary.

grep '\\mathbf\\dot' eqnsJan06.txt grep '\\mathbf\\hat' eqnsJan06.txt grep '\\mathrm\\dot' eqnsJan06.txt grep '\\mathrm\\hat' eqnsJan06.txt grep '\\mathrm\\frac' eqnsJan06.txt

done

 * Four-acceleration $$\mathbf a=\dot\gamma\mathbf u+\gamma\mathbf\dot u$$
 * Four-force $$\mathbf f=m_0\left(\dot\gamma\mathbf u+\gamma\mathbf\dot u\right)$$
 * Discretization    $$\mathbf\dot{x}(t) = \mathbf A\mathbf x(t) + \mathbf B \mathbf u(t)$$
 * Discretization    $$e^{-\mathbf At} \mathbf\dot{x}(t) = e^{-\mathbf At} \mathbf A\mathbf x(t) + e^{-\mathbf At} \mathbf B\mathbf u(t)$$
 * Vector fields in cylindrical and spherical coordinates    $$\mathbf\dot A = \dot A_x \mathbf\hat x + \dot A_y \mathbf\hat y + \dot A_z \mathbf\hat z$$
 * Vector fields in cylindrical and spherical coordinates    $$\mathbf\dot A = \dot A_\rho \boldsymbol\hat\rho + A_\rho \boldsymbol\dot\hat\rho + \dot A_\phi \boldsymbol\hat\phi + A_\phi \boldsymbol\dot\hat\phi + \dot A_z \boldsymbol\hat z + A_z \boldsymbol\dot\hat z$$
 * Vector fields in cylindrical and spherical coordinates    $$\mathbf\dot A = \boldsymbol\hat\rho (\dot A_\rho - A_\phi \dot\phi) + \boldsymbol\hat\phi (\dot A_\phi + A_\rho \dot\phi) + \boldsymbol\hat z \dot A_z$$
 * Vector fields in cylindrical and spherical coordinates    $$\mathbf\dot A = \dot A_x \mathbf\hat x + \dot A_y \mathbf\hat y + \dot A_z \mathbf\hat z$$
 * Vector fields in cylindrical and spherical coordinates    $$\mathbf\dot A = \dot A_r \boldsymbol\hat r + A_r \boldsymbol\dot\hat r + \dot A_\theta \boldsymbol\hat\theta + A_\theta \boldsymbol\dot\hat\theta + \dot A_\phi \boldsymbol\hat\phi + A_\phi \boldsymbol\dot\hat\phi$$
 * Vector fields in cylindrical and spherical coordinates    $$\mathbf\dot A = \boldsymbol\hat r (\dot A_r - A_\theta \dot\theta - A_\phi \dot\phi \sin\theta) + \boldsymbol\hat\theta (\dot A_\theta + A_r \dot\theta - A_\phi \dot\phi \cos\theta) + \boldsymbol\hat\phi (\dot A_\phi + A_r \dot\phi \sin\theta + A_\phi \dot\phi \cos\theta)$$
 * Vector fields in cylindrical and spherical coordinates    $$\begin{bmatrix}\boldsymbol\hat\rho \\ \boldsymbol\hat\phi \\ \boldsymbol\hat z\end{bmatrix} = \begin{bmatrix} \cos\phi & \sin\phi & 0 \\ -\sin\phi & \cos\phi & 0 \\ 0 & 0 & 1 \end{bmatrix} \begin{bmatrix} \mathbf\hat x \\ \mathbf\hat y \\ \mathbf\hat z \end{bmatrix}$$
 * Vector fields in cylindrical and spherical coordinates    $$\mathbf\dot A = \dot A_x \mathbf\hat x + \dot A_y \mathbf\hat y + \dot A_z \mathbf\hat z$$
 * Vector fields in cylindrical and spherical coordinates    $$\begin{bmatrix}\boldsymbol\hat r \\ \boldsymbol\hat\theta \\ \boldsymbol\hat\phi \end{bmatrix} = \begin{bmatrix} \sin\theta\cos\phi & \sin\theta\sin\phi & \cos\theta \\ \cos\theta\cos\phi & \cos\theta\sin\phi & -\sin\theta \\ -\sin\phi & \cos\phi & 0 \end{bmatrix} \begin{bmatrix} \mathbf\hat x \\ \mathbf\hat y \\ \mathbf\hat z \end{bmatrix}$$
 * Vector fields in cylindrical and spherical coordinates    $$\mathbf\dot A = \dot A_x \mathbf\hat x + \dot A_y \mathbf\hat y + \dot A_z \mathbf\hat z$$
 * Cross product     $$\mathbf{a} \times \mathbf{b} = \mathbf\hat{n} \left| \mathbf{a} \right| \left| \mathbf{b} \right| \sin \theta$$
 * Vector area       $$\mathbf{S} = \mathbf\hat{n}S$$
 * D'Hondt method    $$\mathrm\frac{V}{s+1}$$
 * Diagrams For Foucault Pendulum    $$\mathrm\frac{velocity \;vector \;at \;a \;given \;latitude} {velocity \;vector \;at \;equator}$$
 * Diagrams For Foucault Pendulum    $$\mathrm\frac{1 \;EVU \;\times \;cosine \;of \;latitude} {1 \;EVU \;\times \;cosine \;of \;zero}$$
 * Diagrams For Foucault Pendulum    $$\mathrm\frac{cosine \;of \;latitude} {1}$$
 * Diagrams For Foucault Pendulum    $$\mathrm\frac{velocity \;vector \;at \;latitude \;A} {velocity \;vector \;at \;latitude \;B}$$
 * Diagrams For Foucault Pendulum    $$\mathrm\frac{1 \;EVU \;\times \;cosine \;of \;latitude \;A} {1 \;EVU \;\times \;cosine \;of \;latitude \;B}$$
 * Diagrams For Foucault Pendulum    $$\mathrm\frac{cosine \;of \;latitude \;A} {cosine \;of \;latitude \;B}$$
 * Diagrams For Foucault Pendulum    $$\mathrm\frac{ORTRP \;at \;a \;given \;latitude} {ORTRP \;at \;the \;North \;Pole}$$
 * Diagrams For Foucault Pendulum    $$\mathrm\frac{1 \;day \;\times \;sine \;of \;90} {1 \;day \;\times \;sine \;of \;given \;latitude}$$
 * Diagrams For Foucault Pendulum    $$\mathrm\frac{1} {sine \;of \;given \;latitude}$$
 * Diagrams For Foucault Pendulum    $$\mathrm\frac{ORTRP \;at \;latitude \;A} {ORTRP \;at \;latitude \;B}$$
 * Diagrams For Foucault Pendulum    $$\mathrm\frac{1 \;day \;\times \;sine \;of \;latitude \;B} {1 \;day \;\times \;sine \;of \;latitude \;A}$$
 * Diagrams For Foucault Pendulum    $$\mathrm\frac{sine \;of \;latitude \;B} {sine \;of \;latitude \;A}$$