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A result (the answer!).
The steps needed to reach the answer.
Some form of written explanation to describe how you achieved the steps.
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A good solution provides a sufficient conceptual explanation with a detailed and easy-to-follow answer. For math and science problems, this typically involves providing a step-by-step solution with a written explanation explaining why each step shown is pertinent.
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We currently display the most frequently used LaTex symbols on our Equation Editor. Even more buttons are coming soon, but here's a library of LaTeX symbols you might find useful. Use ''ctrl + F'' to search for a specific symbol. Remember to use dollar signs! To see what a symbol looks like, click on it and you'll be redirected to its mathurl generated image. If clicking on it does not work, it means that the mathurl image does not exist. For examples on how to use matrices and align functions, go to the end of the list.
Symbol |
LaTex - Click to see |
|
---|---|---|
$ sign | \$ | |
absolute value | \left| a \right| | |
alpha | \alpha | |
ampersand | \& | |
and | \vee | |
angle sign | \angle | |
approximation (two tildes) | \approx | |
arc | \stackrel{\frown}{AB} | |
arc cosine | \arccos | |
arc cotangent | \arccot | |
arc sine | \arcsin | |
arc tangent | \arctan | |
beta | \beta | |
congruent | \cong | |
cosecant | \csc | |
cosine | \cos | |
cotangent | \cot | |
cursive l | \ell | |
degree symbol | \textdegree | |
Delta | \Delta | |
division | \div | |
dot | \cdot | |
dot dot dot | \dots | |
double arrow | \leftrightarrow | |
empty set | \emptyset | |
equals sign with tilde | \simeq | |
for every, for all | \forall | |
fraction | \dfrac{a}{b} | |
greater than | \textgreater | |
greater than or equal to | \geq | |
in | \in | |
infinity | \infty | |
-infinity | -\infty | |
integers | \mathbb{Z} | |
integral | \int | |
integral from a to b | \int_{a}^{b} | |
integral from blank to blank | \int_{a}^{b} | |
integral over a closed path | \oint{a}^{b} | |
integrate f from a to b | \left[ f \right]_{a}^{b} | |
intersection | \cap | |
iota - identity relation | \imath | |
left braces | \left\{ | |
left bracket | \left[ | |
left parenthesis | \left( | |
left/right braces | \left\{ \right\} | |
left/right brackets | \left[ \right] | |
left/right parentheses | \left( \right) | |
less than | \textless | |
less than or equal to | \leq | |
limit with arrow | \lim_{x \rightarrow a}{f} | |
line break | \\ | |
ln (natural log) | \ln | |
ln equivalence | \ln x^k = k \ln x | |
log | \log | |
log base a | \log_a x^k | |
log equivalence | \log_a x^k = k \log_a x | |
long division (polynomials) | \polylongdiv{x^3+x^2-1}{x-1} | |
mu | \mu | |
multiplication | \times | |
natural numbers | \mathbb{N} | |
negation of | \sim p | |
not congruent | \ncong | |
not equal to | \ne | |
not parallel | \nparallel | |
not, negation | \neg | |
notation for a line | \overleftrightarrow{A} | |
or | \wedge | |
over line; notation for a line segment & complement | \overline{A} | |
parallel | \parallel | |
partial derivative | \partial x | |
percent | \% | |
perpendicular | \bot | |
pi | \pi | |
plus or minus | \pm | |
power set symbol | \wp | |
predicate equivalence | \equiv | |
prime | \prime | |
product notation with limits | \prod \limits_{i=1}^N x_i | |
proper subset | \subset | |
proper superset | \supset | |
rational numbers | \mathbb{Q} | |
real numbers | \mathbb{R} | |
right arrow | \rightarrow | |
right braces | \left. \right\} | |
right bracket | \left. \right] | |
right parenthesis | \left.\right) | |
right\left braces | \left\{ a \right\} | |
right\left brackets | \left[ a \right] | |
right\left parentheses | \left( a \right) | |
secant | \sec | |
sigma | \sigma | |
similar to | \sim | |
sine | \sin | |
specific root | \sqrt[3]{x } | |
square | \square ABCD | |
square root | \sqrt{a} | |
strike-through-diagonal | \cancel{} | |
subscript | D_{x} | |
subset | \subseteq | |
summation | \sum | |
summation with a and b | \sum_{a}^{b} | |
summation with limits | \sum \limits_{k=1}^N k^2 | |
superscript | a^{b} | |
superset | \supseteq | |
synthetic division*** | \polyhornerscheme[x = -3]{6x^3 - 4x^2 + 17} | |
tangent | \tan | |
text insert | \text{some text} | |
there exists | \exists | |
there exists only one | \exists! | |
therefore | \therefore | |
theta | \theta | |
triangle | \triangle ABC | |
union | \cup | |
vector arrow | \vec{AB} |
Examples! | ||
Example: Addition or Subtraction | \begin{align*} \\ | |
3.47 \\ | ||
\underline{-0.92} | ||
\end{align*} | ||
Example: Addition or Subtraction in Equations | \begin{array}{ccccccc} | |
2.2x&+&5&=1.2x&-4 \\ | ||
-1.2x & & & -1.2x & | ||
\end{array} | ||
Example: Systems of Equations | \begin{displaymath} | |
\left\{ \begin{array}{lr} x + y = 50\\ | ||
x + 43 = 2y | ||
\end{array} \right. | ||
\end{displaymath} | ||
Example: The Matrix* | \begin{bmatrix} | |
a &b & c \\ | ||
d & e & f\\ | ||
g & h & i \end{bmatrix} | ||
Example: The Determinant* | \begin{vmatrix} | |
a & b & c \\ | ||
d & e &f \\ | ||
g & h & i | ||
\end{vmatrix} | ||
Example: Augmented Matrix** | \left[\begin{array}{ccc|c} | |
a&b&c&d\\ | ||
e&f&g&h | ||
\end{array} \right] | ||
Example: 6 Trig Identities | \begin{align*} | |
\sin x &= a & \csc x &= b \\ | ||
\cos x &= c & \sec x &= d \\ | ||
\tan x &= e & \cot x &= f | ||
\end{align*} | ||
Example: The Align Function* | \begin{align*} | |
10x &= 2x + 4 \\ | ||
10x - 2x &= 4 \\ | ||
8x &= 4 \\ | ||
x &= 2 \end{align*} | ||
*This expression does not require dollar signs. | ||
**The number of c's indicates the number of columns. "\\" indicates the start of a new row. This expression does not require dollar signs. | ||
***The link goes to an example on the Slader site. |