“《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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|esc-ee-esc
 
|esc-ee-esc
 
|-
 
|-
−
|
+
|power
−
|
+
|control-6
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|-
 +
|fraction
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|control-forwardslash
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|-
 +
|evaluate
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|shift-return
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|-
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|new line
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|return
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|-
 +
|alias for the last output expression
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|%
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|-
 +
|make substitution
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|/.
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|-
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|Expand
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|Expand[  ]
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|-
 +
|Simplify x²+(2x²+sin(x))
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|Simplify[x²+(2x²+sin[x])]
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|-
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|Factorise
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|Factor[x²-1]
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|-
 +
|Evaluate πto decimal places
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|N[π，100]
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|-
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|poly=1+3x+5x³+6sin[x]
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|poly=1+3x+5x³+6sin[x]
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|-
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|extract the coefficient
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|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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|z==x²+1
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|rowspan="2"|Solve the system of equations
 +
            x+y+z=1
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            x-y=2
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|Solve[x+y+z==1&&x-y==2,{x,y,z}]                       
 
|-
 
|-
 
|Mutiply the matrix A by the Vector v.
 
|Mutiply the matrix A by the Vector v.

2015年10月27日 (二) 06:47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 =) 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}]
Mutiply the matrix A by the Vector v. A.v %//MatrixForm
Determinant Det[A]
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
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=21875”