Fs=8192;c=28;
do=c+1;re=c+2;mi=c+3;fa=c+4;sol=c+5;la=c+6;si=c+7;dol=c+8;tone=[0,do,re,mi,fa,sol,la,si,dol,0]reythm=[0.5,0.5,0.5,0.5,0.5,0.5,0.5]
In[]:=
Sound[SoundNote["C"]]
In[]:=
Sound[SoundNote["CG"]]
In[]:=
Sound[{SoundNote["C"],SoundNote["C"],SoundNote["G"]}]
矩阵乘法示例:
b={{3,1},{0,2}}Eigenvectors[b]MatrixPower[b,3]w={{1,-1},{0,1}}Inverse[w].b.wInverse[Eigenvectors[b]].b.Eigenvectors[b]MatrixPower[Inverse[w].b.w,3]w.MatrixPower[Inverse[w].b.w,3].Inverse[w]
3bule1brown:
In[]:=
a={{0,1},{1,1}}v={{2,2},{1+Sqrt[5],1-Sqrt[5]}}Inverse[v].a.v//MatrixForm
Out[]=
{{0,1},{1,1}}
Out[]=
{2,2},1+
5
,1-5
Out[]//MatrixForm=
1 5 5 )1 2 5 1- 5 4 5 | 1 5 5 )1 2 5 1- 5 4 5 |
- 1 5 5 )-1 2 5 -1- 5 4 5 | - 1 5 5 )-1 2 5 -1- 5 4 5 |
In[]:=
Eigenvectors[a]Inverse[Eigenvectors[a]].a.Eigenvectors[a]//MatrixForm
Out[]=
(-1+(-1-
1
2
5
),1,1
2
5
),1Out[]//MatrixForm=
- -1+ 5 2 5 | - 1 5 |
2 (-1+ 5 )4 5 1 2 5 )-1+ 5 2 5 1+ 5 2 5 | -1+ 5 5 1+ 5 2 5 |
In[]:=
MatrixPower[a,n]
Eigenvectors[a].MatrixPower[Inverse[Eigenvectors[a]].a.Eigenvectors[a],n].Inverse[Eigenvectors[a]]
In[]:=
K={{4,-5},{2,-3}}Eigenvectors[K]Inverse[Eigenvectors[K]].K.Eigenvectors[K]
Out[]=
{{4,-5},{2,-3}}
Out[]=
{{5,2},{1,1}}
Out[]=
,,,
1
3
1
3
20
3
2
3
