MathJax Server

Servizio per la creazione di formule matematiche con AsciiMath

Per utilizzare questo servizio occorre richiamare il sito con:

        - https://math.croswil.com/f?<formula>
        - https://math.croswil.com/fdown?<formula>

dove la formula viene costruita secondo le regole descritte sotto. La grammatica asciimath è derivata da mathjax. A dfferenza di quanto proposto dal sito di mathjax, non serve installare alcuna libreria sul client. E' sufficente richiamare questo servizio per ottenere una immagine in SVG.

le differenze tra i due modi di chiamata: (f e fdown) sono sul risultato che da una immagine SVG integrabile, nel primo caso e una immagine da scaricare nel secondo.

Croswil.

inserisci una formula per provare:

Help on Syntax:

Most AsciiMath symbols attempt to mimic in text what they look like rendered, like oo for ∞ $\infty$ $oo$ . Many symbols can also be displayed using a TeX alternative, but a preceeding backslash is not required.

Operation symbols
Type	TeX alt	See
+		+ $+$ $+$
-		− $-$ $-$
*	cdot	⋅ $\cdot$ $*$
**	ast	∗ $$ $*$
***	star	⋆ $⋆$ $***$
//		/ $/$ $//$
\\	backslash setminus	\ $\$ $\\$
xx	times	× $\times$ $xx$
-:	div	÷ $\div$ $-:$
\|><	ltimes	⋉ $⋉$ $\|><$
><\|	rtimes	⋊ $⋊$ $><\|$
\|><\|	bowtie	⋈ $⋈$ $\|><\|$
@	circ	∘ $\circ$ $@$
o+	oplus	⊕ $\oplus$ $o+$
ox	otimes	⊗ $\otimes$ $ox$
o.	odot	⊙ $⊙$ $o.$
sum		∑ $\sum$ $sum$
prod		∏ $\prod$ $prod$
^^	wedge	∧ $\land$ $^^$
^^^	bidwedge	⋀ $⋀$ $^^^$
vv	vee	∨ $\lor$ $vv$
vvv	bigvee	⋁ $⋁$ $vvv$
nn	cap	∩ $\cap$ $nn$
nnn	bigcap	⋂ $⋂$ $nnn$
uu	cup	∪ $\cup$ $uu$
uuu	bigcup	⋃ $⋃$ $uuu$

Miscellaneous symbols
Type	TeX alt	See
2/3	frac{2}{3}	23 $\frac{2}{3}$ $2/3$
2^3		23 $2^{3}$ $2^3$
sqrt x		√x $\sqrt{x}$ $sqrt x$
root(3)(x)		3√x $\sqrt[3]{x}$ $root(3)(x)$
int		∫ $\int$ $int$
oint		∮ $\oint$ $oint$
del	partial	∂ $\partial$ $del$
grad	nabla	∇ $\nabla$ $grad$
+-	pm	± $\pm$ $+-$
O/	emptyset	∅ $\emptyset$ $O/$
oo	infty	∞ $\infty$ $oo$
aleph		ℵ $ℵ$ $aleph$
:.	therefore	∴ $∴$ $:.$
:'	because	∵ $∵$ $:'$
\|...\|	\|ldots\|	\|...\| $\| ... \|$ $\|...\|$
\|cdots\|		\|⋯\| $\| \dots \|$ $\|cdots\|$
vdots		⋮ $⋮$ $vdots$
ddots		⋱ $⋱$ $ddots$
\|\ \|		\| \| $\| \|$ $\|\ \|$
\|quad\|		\| \| $\| \|$ $\|quad\|$
/_	angle	∠ $∠$ $/_$
frown		⌢ $⌢$ $frown$
/_\	triangle	△ $△$ $/_\\$
diamond		⋄ $⋄$ $diamond$
square		□ $□$ $square$
\|__	lfloor	⌊ $⌊$ $\|__$
__\|	rfloor	⌋ $⌋$ $__\|$
\|~	lceiling	⌈ $⌈$ $\|~$
~\|	rceiling	⌉ $⌉$ $~\|$
CC		C $ℂ$ $CC$
NN		N $ℕ$ $NN$
QQ		Q $ℚ$ $QQ$
RR		R $ℝ$ $RR$
ZZ		Z $ℤ$ $ZZ$
"hi"	text(hi)	hi $hi$ $"hi"$

Relation symbols
Type	TeX alt	See
=		= $=$ $=$
!=	ne	≠ $\neq$ $!=$
<	lt	< $<$ $<$
>	gt	> $>$ $>$
<=	le	≤ $\leq$ $<=$
>=	ge	≥ $\geq$ $>=$
-<	prec	≺ $≺$ $-<$
-<=	preceq	⪯ $⪯$ $-<=$
>-	succ	≻ $≻$ $>-$
>-=	succeq	⪰ $⪰$ $>-=$
in		∈ $\in$ $in$
!in	notin	∉ $\notin$ $!in$
sub	subset	⊂ $\subset$ $sub$
sup	supset	⊃ $\supset$ $sup$
sube	subseteq	⊆ $\subseteq$ $sube$
supe	supseteq	⊇ $\supseteq$ $supe$
-=	equiv	≡ $\equiv$ $-=$
~=	cong	≅ $≅$ $~=$
~~	approx	≈ $\approx$ $~~$
prop	propto	∝ $\propto$ $prop$

Logical symbols
Type	TeX alt	See
and		and $and$ $and$
or		or $or$ $or$
not	neg	¬ $\neg$ $not$
=>	implies	⇒ $\Rightarrow$ $=>$
if		if $if$ $if$
<=>	iff	⇔ $\Leftrightarrow$ $iff$
AA	forall	∀ $\forall$ $AA$
EE	exists	∃ $\exists$ $EE$
_\|_	bot	⊥ $⊥$ $_\|_$
TT	top	⊤ $⊤$ $TT$
\|--	vdash	⊢ $⊢$ $\|--$
\|==	models	⊨ $⊨$ $\|==$

Grouping brackets
Type	TeX alt	See
(		( $($ $($
)		) $)$ $)$
[		[ $[$ $[$
]		] $]$ $]$
{		{ ${$ ${$
}		} $}$ $}$
(:	langle	⟨ $〈$ $(:$
:)	rangle	⟩ $〉$ $:)$
<<		⟨ $〈$ $<<$
>>		⟩ $〉$ $>>$
{: x )		x) $x)$ ${: x )$
( x :}		(x $(x$ $( x :}$
abs(x)		\|x\| $\| x \|$ $abs(x)$
floor(x)		⌊x⌋ $⌊ x ⌋$ $floor(x)$
ceil(x)		⌈x⌉ $⌈ x ⌉$ $ceil(x)$
norm(vecx)		∥→x∥ $∥ \vec{x} ∥$ $norm(vecx)$

Arrows
Type	TeX alt	See
uarr	uparrow	↑ $↑$ $uarr$
darr	downarrow	↓ $↓$ $darr$
rarr	rightarrow	→ $\to$ $rarr$
->	to	→ $\to$ $->$
>->	rightarrowtail	↣ $↣$ $>->$
->>	twoheadrightarrow	↠ $↠$ $->>$
>->>	twoheadrightarrowtail	⤖ $⤖$ $>->>$
\|->	mapsto	↦ $\mapsto$ $\|->$
larr	leftarrow	← $\leftarrow$ $larr$
harr	leftrightarrow	↔ $\leftrightarrow$ $harr$
rArr	Rightarrow	⇒ $\Rightarrow$ $rArr$
lArr	Leftarrow	⇐ $\Leftarrow$ $lArr$
hArr	Leftrightarrow	⇔ $\Leftrightarrow$ $hArr$

Accents
Type	TeX alt	See
hat x		ˆx $\hat{x}$ $hat x$
bar x	overline x	¯x $\bar{x}$ $bar x$
ul x	underline x	x–– $\underset{̲}{x}$ $ul x$
vec x		→x $\vec{x}$ $vec x$
dot x		.x $\dot{x}$ $dot x$
ddot x		..x $\overset{..}{x}$ $ddot x$
overset(x)(=)	overset(x)(=)	x= $\overset{x}{=}$ $overset(x)(=)$
underset(x)(=)		=x $\underset{x}{=}$ $underset(x)(=)$
ubrace(1+2)	underbrace(1+2)	1+2 $\underset{⏟}{1 + 2}$ $ubrace(1+2)$
obrace(1+2)	overbrace(1+2)	1+2 $\overset{⏞}{1 + 2}$ $obrace(1+2)$
color(red)(x)		x $x$ $color(red)(x)$
cancel(x)		x $x$ $cancel(x)$

Greek Letters
Type	See	Type	See
alpha	α $α$ $alpha$
beta	β $β$ $beta$
gamma	γ $γ$ $gamma$	Gamma	Γ $Γ$ $Gamma$
delta	δ $δ$ $delta$	Delta	Δ $Δ$ $Delta$
epsilon	ε $ε$ $epsilon$
varepsilon	ɛ $ɛ$ $varepsilon$
zeta	ζ $ζ$ $zeta$
eta	η $η$ $eta$
theta	θ $θ$ $theta$	Theta	Θ $Θ$ $Theta$
vartheta	ϑ $ϑ$ $vartheta$
iota	ι $ι$ $iota$
kappa	κ $κ$ $kappa$
lambda	λ $λ$ $lambda$	Lambda	Λ $Λ$ $Lambda$
mu	μ $μ$ $mu$
nu	ν $ν$ $nu$
xi	ξ $ξ$ $xi$	Xi	Ξ $Ξ$ $Xi$
pi	π $π$ $pi$	Pi	Π $Π$ $Pi$
rho	ρ $ρ$ $rho$
sigma	σ $σ$ $sigma$	Sigma	Σ $Σ$ $Sigma$
tau	τ $τ$ $tau$
upsilon	υ $υ$ $upsilon$
phi	ϕ $ϕ$ $phi$	Phi	Φ $Φ$ $Phi$
varphi	φ $φ$ $varphi$
chi	χ $χ$ $chi$
psi	ψ $ψ$ $psi$	Psi	Ψ $Ψ$ $Psi$
omega	ω $ω$ $omega$	Omega	Ω $Ω$ $Omega$

Font commands
Type	See
bb "AaBbCc"	AaBbCc $AaBbCc$ $bb "AaBbCc"$
bbb "AaBbCc"	AaBbCc $AaBbCc$ $bbb "AaBbCc"$
cc "AaBbCc"	AaBbCc $AaBbCc$ $cc "AaBbCc"$
tt "AaBbCc"	AaBbCc $AaBbCc$ $tt "AaBbCc"$
fr "AaBbCc"	AaBbCc $AaBbCc$ $fr "AaBbCc"$
sf "AaBbCc"	AaBbCc $AaBbCc$ $sf "AaBbCc"$

Standard Functions

sin, cos, tan, sec, csc, cot, arcsin, arccos, arctan, sinh, cosh, tanh, sech, csch, coth, exp, log, ln, det, dim, mod, gcd, lcm, lub, glb, min, max, f, g.

Special Cases

Matrices: [[a,b],[c,d]] yields to [abcd] $[\begin{matrix} a & b \\ c & d \end{matrix}]$ $[[a,b],[c,d]]$

Column vectors: ((a),(b)) yields to (ab) $(\begin{matrix} a \\ b \end{matrix})$ $((a),(b))$

Matrices can be used for layout: {(2x,+,17y,=,23),(x,-,y,=,5):} yields {2x+17y=23x−y=5 ${\begin{cases} 2 x & + & 17 y & = & 23 \\ x & - & y & = & 5 \end{cases}$ ${(2x,+,17y,=,23),(x,-,y,=,5):}$

Complex subscripts: lim_(N->oo) sum_(i=0)^N yields to limN→∞N∑i=0 $lim_{N \to \infty} \sum_{i = 0}^{N}$ $lim_(N->oo) sum_(i=0)^N$

Subscripts must come before superscripts: int_0^1 f(x)dx yields to ∫10f(x)dx $\int_{0}^{1} f (x) d x$ $int_0^1 f(x)dx$

Derivatives: f'(x) = dy/dx yields f'(x)=dydx $f' (x) = \frac{d y}{d x}$ $f'(x) = dy/dx$
For variables other than x,y,z, or t you will need grouping symbols: (dq)/(dp) for dqdp $\frac{d q}{d p}$ $(dq)/(dp)$