Cateva TRUCURI L A T E X

 L A T E X

 

 

$\frac{1}{2}$

Apliccatie

\mapsto

               va produce

$\mapsto$

Arc de cerc

 \overset{\frown}{AB}

                    va produce

$\overset{\frown}{AB}$

Congruent

\equiv

                  va produce 

$\equiv$

Culoare portiune de text

\color {Red} text        \color {Red}{text}

           vor produce

$${\color {Red} text}\;\;\;\;\;\;\;\;\;\;\color {Red}{text}$$

CULORI predefinite

The predefined color names are

black, blue, brown, cyan, darkgray, gray, green, lightgray, lime, magenta, olive, orange, pink, purple, red, teal, violet, white, yellow.

Divide,  NU divide

7 \mid 14      respectiv  7 \not{\mid}15

                   vor produce

$7 \mid 14$ respectiv $7 \not{\mid}15$

Egalitae cu suprascriere

\overset{(2)}{=}

                    va produce

$\overset{(2)}{=}$

Egalitate cu subscriere

\underset{(3)}{=}

                    va produce

$\underset{(3)}{=}$

Egalitate cu suprascriere&subscriere

\overset{(1)}{\underset{(2)}{=}}

                  va produce

$\overset{(1)}{\underset{(2)}{=}}$ 

iar  \underset{(3)}{\overset{(4)}{=}}

va produce

$\underset{(3)}{\overset{(4)}{=}}$

Formula LEIBNIZ-NEWTON

 \int_a^bf(x)dx=F(x)\Big\vert_a^b =F(x)\Bigg\vert_a^b

                   va produce

  $$\int_a^bf(x)dx=F(x)\Big\vert_a^b =F(x)\Bigg\vert_a^b$$

 

Fractie

\frac{1}{2}

                         va produce 

$\frac{1}{2}$ 

Grade sexagesimale

90^{\circ}

                    va produce

$90^{\circ}$

Grecesc (alfabetul) : numai unele MAJUSCULE sunt definite

\alpha, \beta, \gamma ...(30 de caractere)

\Gamma, \Delta, \Theta, \Lambda, \Xi, \Pi, \Sigma, \Upsilon, \Phi, \Psi, \Omega

               vor produce

$\alpha ,\;\beta,\;\gamma..$

$\Gamma, \Delta, \Theta, \Lambda, \Xi, \Pi, \Sigma, \Upsilon, \Phi, \Psi, \Omega$

INTEGRALA

   \int_{a}^{b}\left|f(t)-f \left ( \frac{a+b}{2}\right ) \right |dt

               va produce

$$\int_{a}^{b}\left|f(t)-f \left (\frac{a+b}{2}\right )\right |dt$$

MATRICE aici 2 x 3

(cu bara "\" inainte)begin{bmatrix}
 1& 2 & 3\\
 4& 5 & 6
\end{bmatrix}

                   va produce

$$\begin{bmatrix}  1& 2 & 3\\  4& 5 & 6 \end{bmatrix}$$

NUMEROTARE Relatie  (pentru CENTRARE se pun doua semne "$$")

y^{3}-4\cdot y^{2}-4 \cdot y+8=0 \tag{1} \label{eq1}

                      va produce

$y^{3}-4\cdot y^{2}-4 \cdot y+8=0 \tag{1} \label{eq1}$

 iar varianta 

x^2-(k+y_1)x+2y_1^2-ky_1=0 \tag{2}

                   va produce

$$x^2-(k+y_1)x+2y_1^2-ky_1=0 \tag{2}$$

 

Paralel 

\parallel 

                   va produce

$\parallel$

Partea intreaga si partea fractionara (!! [ si ] sunt FARA "\", iar { si } sunt CU "\")

\left [ \frac{1}{x} \right ] + \left \{ \frac{1}{x} \right \}=\frac{1}{x}

             va produce 

$$\left [ \frac{1}{x} \right ]+\left \{ \frac{1}{x} \right \}=\frac{1}{x}$$

Perpendicular

\perp

                    va produce 

$\perp$

Produs CARTEZIAN mutimi

A \times B

                         va produce

 $A \times B$

SAGETI orientate dupa punctele cardinale

\nearrow    \searrow    \swarrow        \nwarrow

                   vor produce

$$\nearrow \;\;\searrow \;\;\swarrow \;\; \nwarrow$$

Scriere CALIGRAFICA

 \mathcal{ABCDEFGHIJKLMNOPQRSTUVWXYZ}

\mathcal{abcdefghijklmnopqrstuvwxyz}

vor produce

$$\mathcal{ABCDEFGHIJKLMNOPQRSTUVWXYZ}$$

$$\mathcal{abcdefghijklmnopqrstuvwxyz}$$

Scrierea GOTICA

\mathfrak{A\;B\;C\;D\;E\;F\;G\;H\;I\;J\;K\;L\;M\;N\;O\;P\;Q\;R\;S\;T\;U\;V\;W\;Z}

 \mathfrak{a\;b\;c\;d\;e\;f\;g\;h\;i\;j\;k\;l\;m\;o\;p\;q\;r\;s\;t\;u\;v\;w\;x\;y\;z}

          vor produce (am lasat spatiu intre litere)

$$\mathfrak{A\;B\;C\;D\;E\;F\;G\;H\;I\;J\;K\;L\;M\;N\;O\;P\;Q\;R\;S\;T\;U\;V\;W\;Z}$$

$$\mathfrak{a\;b\;c\;d\;e\;f\;g\;h\;i\;j\;k\;l\;m\;o\;p\;q\;r\;s\;t\;u\;v\;w\;x\;y\;z}$$

Scriere de_MINA (!numai majuscule)

\mathscr{A\;B\;C\;D\;E\;F\;G\;H\;I\;J\;K\;L\;M\;N\;O\;P\;Q\;R\;S\;T\;U\;V\;W\;X\;Y\;Z}

          va produce (am lasat spatiu intre litere)

$$\mathscr{A\;B\;C\;D\;E\;F\;G\;H\;I\;J\;K\;L\;M\;N\;O\;P\;Q\;R\;S\;T\;U\;V\;W\;X\;Y\;Z}$$

Segment orientat 

\overline{AB}

                             va produce

$$\overline{AB}$$

 

Sistem_de_ecuatii

ATENTIE , NU se mai pune semnul $; am incadrat  intre < >textul
<begin{cases}a+b=r\;\;\;\;\;(1)\\a^{3}+b^{3}=p\;\;(2)\;\;\;\;\;\;\;r,p,s \in \mathbb{Q}\setminus \{0 \}\\a+b^{2}=s\;\;\;\;(3) \end{cases}>

trebuie scris \begin la inceput (deci cu bara \)

               va produce

$$\begin{cases}a+b=r\;\;\;\;\;(1)\\a^{3}+b^{3}=p\;\;(2)\;\;\;\;\;\;\;r,p,s \in \mathbb{Q}\setminus \{0 \}\\a+b^{2}=s\;\;\;\;(3) \end{cases}$$

Daca punem intre semnele "dollar" atunci apare aliniat la stanga

$\begin{cases}a+b=r\;\;\;\;\;(1)\\a^{3}+b^{3}=p\;\;(2)\;\;\;\;\;\;\;r,p,s \in \mathbb{Q} \setminus \{0\}\\a+b^{2}=s\;\;\;\;(3)\end{cases}$

Subliniere

\underline{abc}, \underline{\underline{abcd}}

     vor produce

$\underline{abc}\;,\;\;\;\underline{\underline{abcd}}$

Suma 

\overset{3}{\underset{k=1}\sum}

intre un_Dollar    \sum_{i=i_o}^{n=n_0} f(i)

intre doi_Dollar       \sum_{i=i_0}^{n=n_0}f(i)

vor produce

$\overset{3}{\underset{k=1}\sum}$

$\sum_{i=i_o}^{n=n_0} f(i)$

$$\sum_{i=i_0}^{n=n_0}f(i)$$

Triunghi

\triangle

                    va produce 

$\triangle$

Tabel (cuv. "begin" este precedat de bara "\")

begin{array} {|r|r|}\hline 8 & 15 & 22 & 29 & 36 & 43 & 50 & 57 & 64 & 1 \\ \hline 134 & 127 & 120 & 113 & 106 & 99 & 92 & 85 & 78 & 71 \\ \hline  \end{array}

                 va produce

$$\begin{array} {|r|r|}\hline 8 & 15 & 22 & 29 & 36 & 43 & 50 & 57 & 64 & 1 \\ \hline 134 & 127 & 120 & 113 & 106 & 99 & 92 & 85 & 78 & 71 \\ \hline  \end{array}$$

Unghi

\angle ABC   \measuredangle ABC  \sphericalangle ABC  \widehat{ABC}

     vor produce

$\angle ABC$         $\measuredangle ABC$         $\sphericalangle ABC$         $\widehat{ABC}$

Vector

 \overrightarrow{AB}

                          va produce

 $\overrightarrow{AB}$

 

 

 

 

Alte Resurse LaTex

 MathJax.org maintains a list of currently supported LATEX commands

          Blog https://yutsumura.com/mathjax-in-wordpress/

          AOPS https://artofproblemsolving.com/wiki/index.php/LaTeX:Symbols

          https://www.scijournal.org/articles/symbols-in-latex

          https://www.bearnok.com/grva/en/knowledge/software/mathjax

          https://www.onemathematicalcat.org/MathJaxDocumentation/TeXSyntax.htm

          https://www.onemathematicalcat.org/MathJaxDocumentation/notationUnits.htm