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📄 mathematica函数大全.mht

📁 mathematica函数大全
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bsp;     =20
</SPAN></SPAN><SPAN=20
style=3D"FONT-FAMILY: =CB=CE=CC=E5; mso-ascii-font-family: 'Times New =
Roman'; mso-hansi-font-family: 'Times New =
Roman'">=BB=AF=BC=F2=B1=ED=B4=EF=CA=BD</SPAN>=20
</P>
<P class=3DMsoNormal><SPAN lang=3DEN-US><SPAN=20
style=3D"mso-spacerun: yes">&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;=20
</SPAN>FullSimplify[expr]<SPAN=20
style=3D"mso-spacerun: =
yes">&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&n=
bsp;&nbsp;=20
</SPAN></SPAN><SPAN=20
style=3D"FONT-FAMILY: =CB=CE=CC=E5; mso-ascii-font-family: 'Times New =
Roman'; mso-hansi-font-family: 'Times New =
Roman'">=BD=AB=CC=D8=CA=E2=BA=AF=CA=FD=B5=C8=D2=B2=BD=F8=D0=D0=BB=AF=BC=F2=
</SPAN>=20
</P>
<P class=3DMsoNormal><SPAN lang=3DEN-US><SPAN=20
style=3D"mso-spacerun: yes">&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;=20
</SPAN>PowerExpand[expr]<SPAN=20
style=3D"mso-spacerun: =
yes">&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&n=
bsp;&nbsp;&nbsp;=20
</SPAN></SPAN><SPAN=20
style=3D"FONT-FAMILY: =CB=CE=CC=E5; mso-ascii-font-family: 'Times New =
Roman'; mso-hansi-font-family: 'Times New =
Roman'">=D5=B9=BF=AA=CB=F9=D3=D0=B5=C4=C3=DD=B4=CE=D0=CE=CA=BD</SPAN>=20
</P>
<P class=3DMsoNormal><SPAN lang=3DEN-US><SPAN=20
style=3D"mso-spacerun: yes">&nbsp;</SPAN><SPAN=20
style=3D"mso-spacerun: yes">&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;=20
</SPAN>ComplexExpand[expr,{x1,x2...}]<SPAN style=3D"mso-spacerun: =
yes">&nbsp;=20
</SPAN></SPAN><SPAN=20
style=3D"FONT-FAMILY: =CB=CE=CC=E5; mso-ascii-font-family: 'Times New =
Roman'; mso-hansi-font-family: 'Times New =
Roman'">=B0=B4=B8=B4=CA=FD=CA=B5=B2=BF=D0=E9=B2=BF=D5=B9=BF=AA</SPAN>=20
</P>
<P class=3DMsoNormal><SPAN lang=3DEN-US><SPAN=20
style=3D"mso-spacerun: yes">&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;=20
</SPAN>FunctionExpand[expr]<SPAN=20
style=3D"mso-spacerun: =
yes">&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;=20
</SPAN></SPAN><SPAN=20
style=3D"FONT-FAMILY: =CB=CE=CC=E5; mso-ascii-font-family: 'Times New =
Roman'; mso-hansi-font-family: 'Times New =
Roman'">=BB=AF=BC=F2</SPAN><SPAN=20
lang=3DEN-US>expr</SPAN><SPAN=20
style=3D"FONT-FAMILY: =CB=CE=CC=E5; mso-ascii-font-family: 'Times New =
Roman'; mso-hansi-font-family: 'Times New =
Roman'">=D6=D0=B5=C4=CC=D8=CA=E2=BA=AF=CA=FD</SPAN>=20
</P>
<P class=3DMsoNormal><SPAN lang=3DEN-US><SPAN=20
style=3D"mso-spacerun: yes">&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;=20
</SPAN>Collect[expr, x]<SPAN=20
style=3D"mso-spacerun: =
yes">&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&n=
bsp;&nbsp;&nbsp;&nbsp;=20
</SPAN></SPAN><SPAN=20
style=3D"FONT-FAMILY: =CB=CE=CC=E5; mso-ascii-font-family: 'Times New =
Roman'; mso-hansi-font-family: 'Times New =
Roman'">=BA=CF=B2=A2=CD=AC=B4=CE=CF=EE</SPAN>=20
</P>
<P class=3DMsoNormal><SPAN lang=3DEN-US><SPAN=20
style=3D"mso-spacerun: yes">&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;=20
</SPAN>Collect[expr, {x1,x2,...}]<SPAN=20
style=3D"mso-spacerun: yes">&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; =
</SPAN></SPAN><SPAN=20
style=3D"FONT-FAMILY: =CB=CE=CC=E5; mso-ascii-font-family: 'Times New =
Roman'; mso-hansi-font-family: 'Times New =
Roman'">=BA=CF=B2=A2</SPAN><SPAN=20
lang=3DEN-US>x1,x2,...</SPAN><SPAN=20
style=3D"FONT-FAMILY: =CB=CE=CC=E5; mso-ascii-font-family: 'Times New =
Roman'; mso-hansi-font-family: 'Times New =
Roman'">=B5=C4=CD=AC=B4=CE=CF=EE</SPAN>=20
</P>
<P class=3DMsoNormal><SPAN lang=3DEN-US><SPAN=20
style=3D"mso-spacerun: yes">&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;=20
</SPAN>Together[expr]<SPAN=20
style=3D"mso-spacerun: =
yes">&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&n=
bsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;=20
</SPAN></SPAN><SPAN=20
style=3D"FONT-FAMILY: =CB=CE=CC=E5; mso-ascii-font-family: 'Times New =
Roman'; mso-hansi-font-family: 'Times New Roman'">=CD=A8=B7=D6</SPAN>=20
</P>
<P class=3DMsoNormal><SPAN lang=3DEN-US><SPAN=20
style=3D"mso-spacerun: yes">&nbsp;&nbsp;&nbsp; </SPAN><SPAN=20
style=3D"mso-spacerun: =
yes">&nbsp;&nbsp;&nbsp;&nbsp;</SPAN>Apart[expr]<SPAN=20
style=3D"mso-spacerun: =
yes">&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&n=
bsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;=20
</SPAN></SPAN><SPAN=20
style=3D"FONT-FAMILY: =CB=CE=CC=E5; mso-ascii-font-family: 'Times New =
Roman'; mso-hansi-font-family: 'Times New =
Roman'">=B2=BF=B7=D6=B7=D6=CA=BD=D5=B9=BF=AA</SPAN>=20
</P>
<P class=3DMsoNormal><SPAN lang=3DEN-US><SPAN=20
style=3D"mso-spacerun: yes">&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;=20
</SPAN>Apart[expr, var]<SPAN=20
style=3D"mso-spacerun: =
yes">&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&n=
bsp;&nbsp;&nbsp;&nbsp;=20
</SPAN></SPAN><SPAN=20
style=3D"FONT-FAMILY: =CB=CE=CC=E5; mso-ascii-font-family: 'Times New =
Roman'; mso-hansi-font-family: 'Times New Roman'">=B6=D4</SPAN><SPAN=20
lang=3DEN-US>var</SPAN><SPAN=20
style=3D"FONT-FAMILY: =CB=CE=CC=E5; mso-ascii-font-family: 'Times New =
Roman'; mso-hansi-font-family: 'Times New =
Roman'">=B5=C4=B2=BF=B7=D6=B7=D6=CA=BD=D5=B9=BF=AA</SPAN>=20
</P>
<P class=3DMsoNormal><SPAN lang=3DEN-US><SPAN=20
style=3D"mso-spacerun: yes">&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;=20
</SPAN>Cancel[expr]<SPAN=20
style=3D"mso-spacerun: =
yes">&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&n=
bsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;=20
</SPAN></SPAN><SPAN=20
style=3D"FONT-FAMILY: =CB=CE=CC=E5; mso-ascii-font-family: 'Times New =
Roman'; mso-hansi-font-family: 'Times New Roman'">=D4=BC=B7=D6</SPAN>=20
</P>
<P class=3DMsoNormal><SPAN lang=3DEN-US><SPAN=20
style=3D"mso-spacerun: yes">&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;=20
</SPAN>ExpandAll[expr]<SPAN=20
style=3D"mso-spacerun: =
yes">&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&n=
bsp;&nbsp;&nbsp;&nbsp;&nbsp;=20
</SPAN></SPAN><SPAN=20
style=3D"FONT-FAMILY: =CB=CE=CC=E5; mso-ascii-font-family: 'Times New =
Roman'; mso-hansi-font-family: 'Times New =
Roman'">=D5=B9=BF=AA=B1=ED=B4=EF=CA=BD</SPAN>=20
</P>
<P class=3DMsoNormal><SPAN lang=3DEN-US><SPAN=20
style=3D"mso-spacerun: yes">&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;=20
</SPAN>ExpandAll[expr, patt]<SPAN=20
style=3D"mso-spacerun: =
yes">&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;=20
</SPAN></SPAN><SPAN=20
style=3D"FONT-FAMILY: =CB=CE=CC=E5; mso-ascii-font-family: 'Times New =
Roman'; mso-hansi-font-family: 'Times New =
Roman'">=D5=B9=BF=AA=B1=ED=B4=EF=CA=BD</SPAN>=20
</P>
<P class=3DMsoNormal><SPAN lang=3DEN-US><SPAN=20
style=3D"mso-spacerun: yes">&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;=20
</SPAN>FactorTerms[poly]<SPAN=20
style=3D"mso-spacerun: =
yes">&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&n=
bsp;&nbsp;&nbsp;=20
</SPAN></SPAN><SPAN=20
style=3D"FONT-FAMILY: =CB=CE=CC=E5; mso-ascii-font-family: 'Times New =
Roman'; mso-hansi-font-family: 'Times New =
Roman'">=CC=E1=B3=F6=B9=B2=D3=D0=B5=C4=CA=FD=D7=D6=D2=F2=D7=D3</SPAN>=20
</P>
<P class=3DMsoNormal><SPAN lang=3DEN-US><SPAN=20
style=3D"mso-spacerun: yes">&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;=20
</SPAN>FactorTerms[poly, x]<SPAN=20
style=3D"mso-spacerun: =
yes">&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;=20
</SPAN></SPAN><SPAN=20
style=3D"FONT-FAMILY: =CB=CE=CC=E5; mso-ascii-font-family: 'Times New =
Roman'; mso-hansi-font-family: 'Times New =
Roman'">=CC=E1=B3=F6=D3=EB</SPAN><SPAN=20
lang=3DEN-US>x</SPAN><SPAN=20
style=3D"FONT-FAMILY: =CB=CE=CC=E5; mso-ascii-font-family: 'Times New =
Roman'; mso-hansi-font-family: 'Times New =
Roman'">=CE=DE=B9=D8=B5=C4=CA=FD=D7=D6=D2=F2=D7=D3</SPAN>=20
</P>
<P class=3DMsoNormal><SPAN lang=3DEN-US><SPAN=20
style=3D"mso-spacerun: yes">&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;=20
</SPAN>FactorTerms[poly, {x1,x2...}]<SPAN style=3D"mso-spacerun: =
yes">&nbsp;&nbsp;=20
</SPAN></SPAN><SPAN=20
style=3D"FONT-FAMILY: =CB=CE=CC=E5; mso-ascii-font-family: 'Times New =
Roman'; mso-hansi-font-family: 'Times New =
Roman'">=CC=E1=B3=F6=D3=EB</SPAN><SPAN=20
lang=3DEN-US>xi</SPAN><SPAN=20
style=3D"FONT-FAMILY: =CB=CE=CC=E5; mso-ascii-font-family: 'Times New =
Roman'; mso-hansi-font-family: 'Times New =
Roman'">=CE=DE=B9=D8=B5=C4=CA=FD=D7=D6=D2=F2=D7=D3</SPAN>=20
</P>
<P class=3DMsoNormal><SPAN lang=3DEN-US><SPAN=20
style=3D"mso-spacerun: yes">&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;=20
</SPAN>Coefficient[expr, form]<SPAN=20
style=3D"mso-spacerun: =
yes">&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;=20
</SPAN></SPAN><SPAN=20
style=3D"FONT-FAMILY: =CB=CE=CC=E5; mso-ascii-font-family: 'Times New =
Roman'; mso-hansi-font-family: 'Times New =
Roman'">=B6=E0=CF=EE=CA=BD</SPAN><SPAN=20
lang=3DEN-US>expr</SPAN><SPAN=20
style=3D"FONT-FAMILY: =CB=CE=CC=E5; mso-ascii-font-family: 'Times New =
Roman'; mso-hansi-font-family: 'Times New Roman'">=D6=D0</SPAN><SPAN=20
lang=3DEN-US>form</SPAN><SPAN=20
style=3D"FONT-FAMILY: =CB=CE=CC=E5; mso-ascii-font-family: 'Times New =
Roman'; mso-hansi-font-family: 'Times New =
Roman'">=B5=C4=CF=B5=CA=FD</SPAN>=20
</P>
<P class=3DMsoNormal><SPAN lang=3DEN-US><SPAN=20
style=3D"mso-spacerun: yes">&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;=20
</SPAN>Coefficient[expr, form, n]<SPAN=20
style=3D"mso-spacerun: yes">&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; =
</SPAN></SPAN><SPAN=20
style=3D"FONT-FAMILY: =CB=CE=CC=E5; mso-ascii-font-family: 'Times New =
Roman'; mso-hansi-font-family: 'Times New =
Roman'">=B6=E0=CF=EE=CA=BD</SPAN><SPAN=20
lang=3DEN-US>expr</SPAN><SPAN=20
style=3D"FONT-FAMILY: =CB=CE=CC=E5; mso-ascii-font-family: 'Times New =
Roman'; mso-hansi-font-family: 'Times New Roman'">=D6=D0</SPAN><SPAN=20
lang=3DEN-US>form^n</SPAN><SPAN=20
style=3D"FONT-FAMILY: =CB=CE=CC=E5; mso-ascii-font-family: 'Times New =
Roman'; mso-hansi-font-family: 'Times New =
Roman'">=B5=C4=CF=B5=CA=FD</SPAN>=20
</P>
<P class=3DMsoNormal><SPAN lang=3DEN-US><SPAN=20
style=3D"mso-spacerun: yes">&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;=20
</SPAN>Exponent[expr, form]<SPAN=20
style=3D"mso-spacerun: =
yes">&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;=20
</SPAN></SPAN><SPAN=20
style=3D"FONT-FAMILY: =CB=CE=CC=E5; mso-ascii-font-family: 'Times New =
Roman'; mso-hansi-font-family: 'Times New =
Roman'">=B1=ED=B4=EF=CA=BD</SPAN><SPAN=20
lang=3DEN-US>expr</SPAN><SPAN=20
style=3D"FONT-FAMILY: =CB=CE=CC=E5; mso-ascii-font-family: 'Times New =
Roman'; mso-hansi-font-family: 'Times New Roman'">=D6=D0</SPAN><SPAN=20
lang=3DEN-US>form</SPAN><SPAN=20
style=3D"FONT-FAMILY: =CB=CE=CC=E5; mso-ascii-font-family: 'Times New =
Roman'; mso-hansi-font-family: 'Times New =
Roman'">=B5=C4=D7=EE=B8=DF=D6=B8=CA=FD</SPAN>=20
</P>
<P class=3DMsoNormal><SPAN lang=3DEN-US><SPAN=20
style=3D"mso-spacerun: yes">&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;=20
</SPAN>Numerator[expr]<SPAN=20
style=3D"mso-spacerun: =
yes">&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&n=
bsp;&nbsp;&nbsp;&nbsp;&nbsp;=20
</SPAN></SPAN><SPAN=20
style=3D"FONT-FAMILY: =CB=CE=CC=E5; mso-ascii-font-family: 'Times New =
Roman'; mso-hansi-font-family: 'Times New =
Roman'">=B1=ED=B4=EF=CA=BD</SPAN><SPAN=20
lang=3DEN-US>expr</SPAN><SPAN=20
style=3D"FONT-FAMILY: =CB=CE=CC=E5; mso-ascii-font-family: 'Times New =
Roman'; mso-hansi-font-family: 'Times New =
Roman'">=B5=C4=B7=D6=D7=D3</SPAN>=20
</P>
<P class=3DMsoNormal><SPAN lang=3DEN-US><SPAN=20
style=3D"mso-spacerun: yes">&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;=20
</SPAN>Denominator[expr]<SPAN=20
style=3D"mso-spacerun: =
yes">&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&n=
bsp;&nbsp;&nbsp;=20
</SPAN></SPAN><SPAN=20
style=3D"FONT-FAMILY: =CB=CE=CC=E5; mso-ascii-font-family: 'Times New =
Roman'; mso-hansi-font-family: 'Times New =
Roman'">=B1=ED=B4=EF=CA=BD</SPAN><SPAN=20
lang=3DEN-US>expr</SPAN><SPAN=20
style=3D"FONT-FAMILY: =CB=CE=CC=E5; mso-ascii-font-family: 'Times New =
Roman'; mso-hansi-font-family: 'Times New =
Roman'">=B5=C4=B7=D6=C4=B8</SPAN>=20
</P>
<P class=3DMsoNormal><SPAN lang=3DEN-US><SPAN=20
style=3D"mso-spacerun: yes">&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;=20
</SPAN>ExpandNumerator[expr]<SPAN=20
style=3D"mso-spacerun: =
yes">&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;=20
</SPAN></SPAN><SPAN=20
style=3D"FONT-FAMILY: =CB=CE=CC=E5; mso-ascii-font-family: 'Times New =
Roman'; mso-hansi-font-family: 'Times New =
Roman'">=D5=B9=BF=AA</SPAN><SPAN=20
lang=3DEN-US>expr</SPAN><SPAN=20
style=3D"FONT-FAMILY: =CB=CE=CC=E5; mso-ascii-font-family: 'Times New =
Roman'; mso-hansi-font-family: 'Times New =
Roman'">=B5=C4=B7=D6=D7=D3=B2=BF=B7=D6</SPAN>=20
</P>
<P class=3DMsoNormal><SPAN lang=3DEN-US><SPAN=20
style=3D"mso-spacerun: yes">&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;=20
</SPAN>ExpandDenominator[expr]<SPAN=20
style=3D"mso-spacerun: =
yes">&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;=20
</SPAN></SPAN><SPAN=20
style=3D"FONT-FAMILY: =CB=CE=CC=E5; mso-ascii-font-family: 'Times New =
Roman'; mso-hansi-font-family: 'Times New =
Roman'">=D5=B9=BF=AA</SPAN><SPAN=20
lang=3DEN-US>expr</SPAN><SPAN=20
style=3D"FONT-FAMILY: =CB=CE=CC=E5; mso-ascii-font-family: 'Times New =
Roman'; mso-hansi-font-family: 'Times New =
Roman'">=B5=C4=B7=D6=C4=B8=B2=BF=B7=D6</SPAN>=20
</P>
<P class=3DMsoNormal><SPAN lang=3DEN-US><SPAN=20
style=3D"mso-spacerun: yes">&nbsp;</SPAN></SPAN></P>
<P class=3DMsoNormal><SPAN lang=3DEN-US><SPAN=20
style=3D"mso-spacerun: yes">&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;=20
</SPAN>TrigExpand[expr]<SPAN=20
style=3D"mso-spacerun: =
yes">&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&n=
bsp;&nbsp;&nbsp;&nbsp;=20
</SPAN></SPAN><SPAN=20
style=3D"FONT-FAMILY: =CB=CE=CC=E5; mso-ascii-font-family: 'Times New =
Roman'; mso-hansi-font-family: 'Times New =

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