FLOATPOS MachineEpsilonR64 MachineEpsilonR MachineEpsilonR/Accuracy MOD MOD32 MODbaseP MODbaseP32 RADIAN STEPBYSTEP EXPAND SUBSTITUTION TIMEOUT

$i$ $e$ $\pi$ $\infty$ $\emptyset$ $\cup$ $\setminus$ $\triangle$ $'$ $\cap$ (a,b) [a,b] (a,b] [a,b) $\ge$ $\ne$ = $\le$ $\lor$ $\&$ $\neg$ $\Leftrightarrow$ $\implies$

$\circ$ $\partial$ $\nabla$ $\hbar$ $\to$ $\perp$ $\parallel$ $\angle$ $\smile$ $\equiv$ $\square$ $\blacksquare$ $\approx$ $\sim$ $\in$ $\notin$ $\owns$ $\subset$ $\subseteq$ $\supset$ $\supseteq$ $\exists$ $\nexists$ $\forall$ $\vee$ $\wedge$ $\oplus$ $\otimes$ $\coprod$ $\hat a$ $\bar a$ $\tilde a$ $\vec a$ $\dot a$ $\ddot a$ $\widetilde{az}$ $\widehat{az}$ $\overline{az}$ $\overrightarrow{az}$ $\underbrace{az}$ $\overbrace{az}$ $\frac{a}{b}$ $\{$ $[$ $\longleftrightarrow$ $\longleftarrow$ $\uparrow$ $\longrightarrow$ $\downarrow$

$\alpha$ $\beta$ $\gamma$ $\delta$ $\epsilon$ $\varepsilon$ $\zeta$ $\eta$ $\theta$ $\vartheta$ $\iota$ $\kappa$ $\varkappa$ $\lambda$ $\mu$ $\nu$ $\xi$ $\pi$ $\varpi$ $\rho$ $\varrho$ $\sigma$ $\varsigma$ $\tau$ $\upsilon$ $\phi$ $\varphi$ $\chi$ $\psi$ $\omega$

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

max(a,b) min(a,b) abs() sign() round() floor() ceil() isZero() isOne() isEven() isNegative() isInfinite() random(bits)

div(a,b) rem(a,b) divRem(a,b) mod(a,m) Mod(a,m) factor(a) a! GCD(a,b) extendedGCD(a,b) modInverse(a,m) JacobiSymbol(,)

num(fr) denom(fr) cancel(fr) quotientAndRemainder(fr) quotient(fr) remainder(fr) quotientAndRemainder(fr,x) quotient(fr,x) remainder(fr,x) properForm(fr)

random(d_1,..,d_n,density,bits) GCD(f,g) LCM(f,g) resultant(f,g) discriminant(f) leadingCoeff() value(f(x),[a]) value(f(x,y), [a, b]) rootsOfPolynomial() realRootsOfPolynomial() complexRootsOfPolynomial() solveNAE(f,g,...,h) \degrees(f) \degree(f) groebner(f,..,g) reduceByGB(f,[p,..,q]) PRS(a,b) GCDNumCf(p) GCDHCf(p,z) quotientAndRemainder(a,b,x) quotient(a,b,x) remainder(a,b,x) extendedGCD(a,b) toVectorDence(p) toVectorSparce(p) vectorToPolynom([])

solveLAE cholesky transpose inverse adjoint AESd det detL conjugate SVD QR genInverse pseudoInverse toEchelonForm rank kernel maxAbs normF charPolynom LSUWMdet LSU BruhatDecomposition random(n,m,density,bits) random(n,m,dens,d1,.,dk,dens,bits) submatrix(M,r1,Nr,c1,Nc) sylvester(p,q,type)

LDUm PlduQwk LDUWK WDK

SimplexMax SimplexMin

ln lg sin cos tg ctg arcsin arccos arctg arcctg sh ch th cth arcsh arcch arcth arccth exp $\sqrt{}$

$\log_a(x)$ $\sqrt[n]{a}$ $\int \! f \ \mathrm{d}x$ $D(f)$ $D_{x}(f)$ $D_{x}^{(n)}(f)$ $\lim_{x \to a}(f)$ $\binom n k $ abs sign a! $\Gamma(x)$ Beta(x,y) AGM(x,y) MAGM(x,y) GHM(x,y) BessJ(n,x) BessY(n,x) LegP(n,x) LegP(n,m,x) sphHarm sphHarmR sphHarmCart sphHarmRCart

partitionsOfNumber; combinations combinations n by k permutationsAll permutations_n permutationsQuantity

solveEquation solveLinSyst solveLSystWithOtherVars solveLSystInMatrixForm solveNAE(f,g,...,h) solveTrigonometricEquation solveInequality solveSystemOfInequalities value

solveLinDE solveSystemOfLinDEs

discreteRandomQuantity mathExpectation dispersion meanSquareDeviation addQU multiplyQU covariance correlation plotPolygonDistribution plotDistributionFunction simplifyQU

sample sampleMean sampleDispersion covarianceCoefficient correlationCoefficient

plotGraphMatrix plotGraphAdMatrixCoord plotCompleteGraph searchLeastDistances findTheShortestPath

R64min+ Rmin+ R64min$\times$ Rmin$\times$ R64max+ Rmax+ R64max$\times$ Rmax$\times$ R64min max Rmin max R64max min Rmax min Zmin+ Zmin$\times$ Zmax+ Zmax$\times$ Zmin max Zmax min Ax=b Ax ≤ b Ax+b=x Ax+b≤x

factor expand

Factor Expand

plot paramPlot tablePlot showPlots approximation table

tableFromFile table

plot3d implicitPlot3d_1 implicitPlot3d_2 explicitPlot3d showPlots3D

Torus Spiral Dini's surface

"Table in text"

Point Line Ray Pentagon Hexagon Octagon Polygon Polygon With Side Length Polygon With Side Length And Center Circle Circle With Center Circum circle Ellipse Ellipse With Center

getStatus getCalcResult matrixMult:1x8 Tropical: Ax=x Tropical: Ax ≤ x Tropical: Ax+b=x Tropical: Ax+b≤x

TOTALNODES PROCPERNODE CLUSTERTIME MAXCLUSTERMEMORY