LaTex Search – The Hebrew University – Albert Einstein Archive

LaTeX is a software system for typesetting scientific documents widely used in academia for the communication and publication of such documents. LaTeX code is written using exclusively ASCII signs. It uses LaTeX markup to describe the content and layout of a text. The plain ASCII text is read and transcribed into the correct graphic rendering of graphic scientific notations.

On this website LaTeX is used to correctly display the graphics of scientific notations and formulas in the catalog search result list. This happens automatically and as a user you don’t have to do anything to activate it.

At this stage, mathematical expressions can be searched for in the First Line or Title fields (not in the full text of the document).

Write the mathematical expression using the LaTeX system.

Since the transcription of a handwritten formula into LaTeX can be ambiguous, it is recommended to search for an unambiguous characteristic part of a formula’s LaTeX code, delimited by *-symbols.

Example 1:

Searching for First Lines containing the expression $T_{\mu\nu}$.

The LaTeX code for this expression is T_{\mu\nu}.

The search input should be *T_{\mu\nu}*

The search yields three results:

Call Number 62-146:

$s_{\mu\nu,\sigma}$ | $s_{\mu\nu,\alpha\alpha}=T_{\mu\nu}$ Passt auch zu $s_{\mu\nu,\nu}=0$

$s_{\mu\nu,\sigma}$ | $s_{\mu\nu,\alpha\alpha}=T_{\mu\nu}$ Passt auch zu $s_{\mu\nu,\nu}=0$

Call Number 124-800:

$R_{\mu\nu}-\frac{1}{2}Rg_{\mu\nu}+\Lambda g_{\mu\nu}=\frac{8\pi G}{c^4}T_{\mu\nu}$

$\delta\mathfrak{H}=\delta{g^{ik}R}_{ik}-\frac{1}{2}g^{ik}\delta\left[l,ik+l,ki-2l,s\Gamma_{ik}^s\right]$ | $-g_{\ ,i,k}^{ik}$

$R_{\mu\nu}-\frac{1}{2}Rg_{\mu\nu}+\Lambda g_{\mu\nu}=\frac{8\pi G}{c^4}T_{\mu\nu}$
$\delta\mathfrak{H}=\delta{g^{ik}R}_{ik}-\frac{1}{2}g^{ik}\delta\left[l,ik+l,ki-2l,s\Gamma_{ik}^s\right]$ | $-g_{\ ,i,k}^{ik}$

Example 2:

Searching for First Lines containing the expression $\mathfrak{T}_{\substack{t,s \\1\ \ \ }}^s$.

The LaTeX code for this expression is \mathfrak{T}_{\substack{t,s \\1\ \ \ }}^s.

However, the expression could also be represented by a different code, using the \underset command instead of the \substack command.

Therefore, in order not to miss the target, the search input should be *\mathfrak{T}_*

The search yields 11 results, among them one document containing the required expression,

Call Number 62-390:

$\left(g^{ik}\mathcal{U}_{ik}^q\delta_p^s-g^{qk}\mathcal{U}_{pk}^s-g^{iq}\mathcal{U}_{ip}^s\right)_{,s}$

$x_1$ | $\mathfrak{T}_{\substack{t,s \\1\ \ \ }}^s=0$ | $\mathfrak{T}_1\prime$

$\left(g^{ik}\mathcal{U}_{ik}^q\delta_p^s-g^{qk}\mathcal{U}_{pk}^s-g^{iq}\mathcal{U}_{ip}^s\right)_{,s}$

$x_1$ | $\mathfrak{T}_{\substack{t,s \\1\ \ \ }}^s=0$ | $\mathfrak{T}_1\prime$

Call number 33-171 (the First Line containing the expression appears twice: once as originally written, with parts of the line struck out, and once ignoring the strikeouts – in addition, the First Line of the second page of the document appears):

$\frac{\partial^2T_{\mu\nu}A^{\mu\nu}}{\partial{x_4}^2}=\frac{T_{\mu\nu\require{cancel}\cancel{\sigma\tau}}A^{\mu\nu}\require{cancel}\cancel{n^\sigma}\left|n\right|}{T_{44}n^4n^4}=\frac{\mathcal{E}_{\mu\nu\sigma\tau}A^{\mu\nu}n^\sigma n^\tau}{T_{\sigma\tau}n^\sigma n^\tau}$

$\frac{\partial^2T_{\mu\nu}A^{\mu\nu}}{\partial{x_4}^2}=\frac{T_{\mu\nu\sigma\tau}A^{\mu\nu}n^\sigma\left|n\right|}{T_{44}n^4n^4}=\frac{\mathcal{E}_{\mu\nu\sigma\tau}A^{\mu\nu}n^\sigma n^\tau}{T_{\sigma\tau}n^\sigma n^\tau}$

$\require{cancel}\cancel{\delta\varphi_{,\mu}=}$ $\require{cancel}\cancel{\delta\varphi=\frac{\partial\varphi}{\partial x_\tau}\delta x_\tau}$

$\delta\varphi_{,\mu}=$ $\delta\varphi=\frac{\partial\varphi}{\partial x_\tau}\delta x_\tau$

LaTeX is free software and is distributed under the LaTeX Project Public License (LPPL).

Official LaTeX website: https://www.latex-project.org/