SageCellCalc

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Recent

⌊x⌋, ⌈x⌉

∫, ∂

Ai, Bi

J_n, Y_n

Γ, ψ

ζ, H_n

δ_n,m

sin

sinh

_pF_q(a,b,z)

Jacobi

log, Li

Ei, Si, Ci

Elliptic

OrthPoly

Misc.

| x |

⌊ x ⌋

⌈ x ⌉

{x}

sgn(x)

min

max

piecewise

min_symbolic(a,b,...)

∫

∫_a^b

∂

2Dplot

Ai(x)

∂Ai(x)

Bi(x)

∂Bi(x)

J_n(z)

I_n(z)

Y_n(z)

K_n(z)

H_n⁽¹⁾(z)

H_n⁽²⁾(z)

j_n(z)

y_n(z)

h_n⁽¹⁾(z)

h_n⁽²⁾(z)

Γ(x)

Γ_a(x)

lnΓ(x)

ψ_a(x)

Φ(x)

C(n,k)

B(x,y)

δ_n,m

δ(x)

H(x)

u(x)

┬┴┴

ζ(x)

ζ_sym(x)

∂ⁿ_xζ(x)

ζ(x,a)

H_n

H_n^m

B_n

sin(z)

cos(z)

tan(z)

cot(z)

sec(z)

csc(z)

asin(z)

acos(z)

atan(z)

acot(z)

asec(z)

acsc(z)

atan2(x,y)

sinh(z)

cosh(z)

tanh(z)

coth(z)

sech(z)

csch(z)

asinh(z)

acosh(z)

atanh(z)

acoth(z)

asech(z)

acsch(z)

_pF_q(a,b,z)

M(a,b,z)

U(a,b,z)

J(k,z,m)

sn(z,m)

cn(z,m)

dn(z,m)

ns(z,m)

nc(z,m)

nd(z,m)

sc(z,m)

sd(z,m)

cs(z,m)

cd(z,m)

ds(z,m)

dc(z,m)

J^-1(k,z,m)

sn^-1(z,m)

cn^-1(z,m)

dn^-1(z,m)

ns^-1(z,m)

nc^-1(z,m)

nd^-1(z,m)

sc^-1(z,m)

sd^-1(z,m)

cs^-1(z,m)

cd^-1(z,m)

ds^-1(z,m)

dc^-1(z,m)

e^x

e_polar

ln(x)

log_a(x)

Li_n(x)

Li₂(x)

W(x)

Ei(z)

E₁(z)

n(E₁(z))

E_n(z)

li(z)

Li(z)

Si(z)

Ci(z)

Shi(z)

Chi(z)

F(z,m)

K(m)

E(z,m)

E(m)

Eu(m)

Π(n,z,m)

H_n(z)

L_n(z)

L_n^a(z)

P_n(z)

Q_n(z)

P_n^a(z)

Q_n^a(z)

Y_n^m(θ,φ)

T_n(z)

U_n(z)

P_n^(a,b)(z)

P_n^(a)(z)

ρ(z)

ϕ(x,n)

π(x)

wigner3j

wigner6j

wigner9j

C-G_3j

Gaunt_3j

racah6j

abs(x) = \(|x|\)

abs( z )

The absolute value of z in SageMath. Alias of abs_symbolic.

See more: paulmasson.github.io/sagemath-docs/functions/abs.html

floor(x) = \(\lfloor x\rfloor\)

floor( x )

The greatest integer less than or equal to x in SageMath. Not defined for complex numbers.

See more: paulmasson.github.io/sagemath-docs/functions/floor.html

ceil(x) = \(\lceil x\rceil\)

ceil( x )

The smallest integer greater than or equal to x in SageMath. Not defined for complex numbers.

See more: paulmasson.github.io/sagemath-docs/functions/ceil.html

frac(x) = \(\lbrace x \rbrace\)

frac( x )

The fractional part of x in SageMath. Not defined for complex numbers.

See more: paulmasson.github.io/sagemath-docs/functions/frac.html

sgn(x)

sgn( x )

See more: paulmasson.github.io/sagemath-docs/functions/sign.html

min_symbolic(a,b,...)

min_symbolic( a , b [ , c , d , … ] )

The minimum in SageMath of two or more symbolic expressions.

See more: paulmasson.github.io/sagemath-docs/functions/min_symbolic.html

max_symbolic(a,b,...)

max_symbolic( a , b [ , c , d , … ] )

The maximum in SageMath of two or more symbolic expressions.

See more: paulmasson.github.io/sagemath-docs/functions/max_symbolic.html

piecewise

piecewise( [ [ ( begin , end ) , function ] , ... ] , var=variable )

A piecewise function in SageMath defined in part by function on the domain from begin to end. Consecutive domains should share an endpoint to avoid unexpected errors. The optional var keyword argument specifies which single symbolic variable is the argument of the complete function.

The argument function for each domain must be the name of a symbolic function, not a numeric function. Symbolic functions are constructed from numeric functions using function. Symbolic functions entail significant overhead that can make piecewise unsuitable for purely numeric calculations.

See more: paulmasson.github.io/sagemath-docs/functions/piecewise.html