تعدادی از دستور های مقدماتی متمتیکا

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  • تعدادی از دستور های مقدماتی متمتیکا
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تعدادی از دستور های مقدماتی متمتیکا

 


Apart[expr] separate expr into terms with simple denominators
Cancel[expr] cancel common factors in numerator and Coefficient[expr,form] coefficient of form in expr
D[f, {x, n}] the nth derivative ∂nf/∂xn
D[f, x] the (partial) derivative ∂f/∂x
D[f, x1, x2, . . . ] the multiple partial derivative ∂∂x1∂∂x2• • • f
denominator of expr
Denominator[expr] denominator of expr
f’[x] the derivative f_(x)
f’’[x] the second derivative f__(x)
f’’’’’’’’[x] the eighth derivative f(8)(x)
Factor[expr] reduce expr to a product of factors
Numerator[expr] numerator of expr
Part[expr,n] nth term of expr
Together[expr] put all terms of expr over a common denominator
TrigExpand[expr] expand the trig expr into a sum of terms
TrigFactor[expr] write the trig expr as products of terms
TrigReduce[expr] simplify trig expr using trig identities
Numerator[expr] numerator of expr
Denominator[expr] denominator of expr
Part[expr,n] nth term of expr
Coefficient[expr,form] coefficient of form in expr
Integrate[f, x] the indefinite integral_f dx
Integrate[f, {x, a, b}] the definite integral_ baf dx
Sum[g, {i, m, n}] the sum _ni=mg
Sum[g, {i, m, n, di}] the sum with i increasing in steps of di
Solve[lhs==rhs,x] solve the single equation for x
NSolve[lhs==rhs,x] numerically solve the single equation for x
expr /. Sol evaluate expr using the values obtained in sol
FindRoot[lhs==rhs,{x, x0}] find a numerical solution starting with x0
Plot[f[x],{x,a,b}] plot f(x) from x = a to x = b
Plot[{f[x], g[x],h[x],i[x]},{x,a,b}] plot several function from x = a to x = b
GraphicsArray[{g1,g2, . . . }] arranges several graphs in one row Show[g] redraws graph g
ContourPlot[f[x,y],{x,a,b},{y,c,d}]
DensityPlot[f[x,y],{x,a,b},{y,c,d}]
ParametricPlot3D[{f[t],g[t],h[t]},{t,a,b}]
ParametricPlot3D[{f[t,u],g[t,u],h[t,u]},{t,a,b},{u,c,d}]
Re[z], Im[z] real and imaginary parts of z
Conjugate[z] complex conjugate of z
Abs[z], Arg[z] absolute value |z| and argument θ of z in |z|eiθ
complexExpand[expr] expand expr assuming all variables are real