“《超越学科的认知基础》2015张世超学习报告第六周”版本间的差异

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|Coefficient[poly,x²]
 
|Coefficient[poly,x²]
 
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|-
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|Solve the equation z=x²+1 for x (remember to use == not =)
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|Solve the equation z=x²+1 for x (remember to use == not =)eeeeeeeeeeeeeeeeeee
 
|z==x²+1
 
|z==x²+1
 
|-
 
|-
 
|Solve the system of equations:x+y+z=1 x-y=2
 
|Solve the system of equations:x+y+z=1 x-y=2
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|Solve[x+y+z==1&&x-y==2,{x,y,z}]                      
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|Solve[x+y+z==1&&x-y==2,{x,y,z}]  
 +
|-
 +
!colspan="8"|complex numbers                     
 +
|-
 +
|absolute value
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|Abs[z]
 +
|-
 +
|Argument value
 +
|Arg[z]
 +
|-
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|Complex conjugate
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|Conjugate[z]
 +
|-
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|Imaginary
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|Im[z]
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|-
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|real component
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|Re[z]
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|-
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!colspan="8"|Linear algebra
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|Define a 2*2 matrix A with elements 1,2,3,4 and a 2 element vector v with element v1 and v2.
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|A={[1,2],[3,4]} v={v1,v2} A//MatrixForm
 
|-
 
|-
 
|Determinant
 
|Determinant
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|-
 
|-
 
|Change the font size and disale the mesh  
 
|Change the font size and disale the mesh  
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|Plot3D
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|Plot3D[sin[x]cos[y],{x,0,5},{y,0,5}] BaseStyle→{FontSize→14}
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|-
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|Make a density plot
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|DensityPlot[sin[x]cos[y],{x,0,5}]
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|-
 +
|Make a parametric plot in 3D x=cos(t), y=sin(t) z=t {t,0,4π}]
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|ParametricPlot3D[{cos[t],sin[t],t]
 +
|-
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!colspan="8"|Calculus
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|-
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|Solving the differential equations
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|Dsolve[ ]
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|-
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|Derivatives
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|D[sin[x],x]
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|-
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|Take the indefinite integral
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|Integrate[sin[x],x]
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|-
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!colspan="8"|Sums
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|-
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|Add up number i² from 0≤i≤n
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|Sum[i²,{i,1,n}]
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|-
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!colspan="8"|Flow control
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|-
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|Step function,if x>0, +1,if x<0 -1,if x=0 ,1
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|d[x_]:=If[x>0,1,0] d[1],d[-1]
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|}

2015年10月27日 (二) 10:24的版本

关键词

Mathematica[1]

学习报告

Mathematica 指令表

Mathematica 指令表
操作 指令
enter i type esc-ii-esc
enter square root control -2
enter "e" esc-ee-esc
power control-6
fraction control-forwardslash
evaluate shift-return
new line return
alias for the last output expression %
make substitution /.
Expand Expand[ ]
Simplify x²+(2x²+sin(x)) Simplify[x²+(2x²+sin[x])]
Factorise Factor[x²-1]
Evaluate πto decimal places N[π，100]
poly=1+3x+5x³+6sin[x] poly=1+3x+5x³+6sin[x]
extract the coefficient Coefficient[poly,x²]
Solve the equation z=x²+1 for x (remember to use == not =)eeeeeeeeeeeeeeeeeee z==x²+1
Solve the system of equations:x+y+z=1 x-y=2 Solve[x+y+z==1&&x-y==2,{x,y,z}]
complex numbers
absolute value Abs[z]
Argument value Arg[z]
Complex conjugate Conjugate[z]
Imaginary Im[z]
real component Re[z]
Linear algebra Define a 2*2 matrix A with elements 1,2,3,4 and a 2 element vector v with element v1 and v2. A={[1,2],[3,4]} v={v1,v2} A//MatrixForm
Determinant Det[A]
Mutiply the matrix A by the Vector v. A.v %//MatrixForm
Inverse Inverse[A]//MatrixForm
MatrixPower [A,2]//MatrixForm or A²//MatrixForm
Transpose Transpose[A]//MatrixForm
Extract A1//MatrixForm
Make a 10×10 matrix and automatically populate if with a formula. M=Table[i*j+sin[i+j},{i,1,10},{j,1,10}];M//MatrixForm
data={1,2,3,4,5} av2[v_]:=Total[v]/Length[v];av2[data]
Function
Define a function;f[x_]:=cos[x]+sin[x];g[x_]:=cos[x]-2; Evaluate+for x =1;N[f[1],500]
Average:Write a function av(v) evaluate it for {1,2,3,4,5}
Plotting
Plot the function sin(x) in the range 0<x<5 Plot [sin[x],{x,0,5}]
Superimpose the plots of sin(x) and cos(x) Plot[{sin[x],cos[x]},{x,0,10}]
Make a 3D plot of sin(x)cosxy over the range 0<x<5,0<y<5 Plot 3D[sin[x]Cos[y],{x,0,5},{y,0,5}]
Change the font size and disale the mesh Plot3D[sin[x]cos[y],{x,0,5},{y,0,5}] BaseStyle→{FontSize→14}
Make a density plot DensityPlot[sin[x]cos[y],{x,0,5}]
Make a parametric plot in 3D x=cos(t), y=sin(t) z=t {t,0,4π}] ParametricPlot3D[{cos[t],sin[t],t]
Calculus
Solving the differential equations Dsolve[ ]
Derivatives D[sin[x],x]
Take the indefinite integral Integrate[sin[x],x]
Sums
Add up number i² from 0≤i≤n Sum[i²,{i,1,n}]
Flow control
Step function,if x>0, +1,if x<0 -1,if x=0 ,1 d[x_]:=If[x>0,1,0] d[1],d[-1]
取自“http://wiki.icenter.tsinghua.edu.cn/icenterwiki/index.php?title=《超越学科的认知基础》2015张世超学习报告第六周&oldid=21883”