How to enclose theorems and definition in rectangles?Vertical space around theoremsTheorems and Definitions as quotesHow to replace all pictures by white rectangles?How to remove line breaks before and after theorems?Horizontal spaces to the left and right of theoremsExtra spacing around restatable theoremsKOMA script and amsthm: Space lost before and after theoremsShrinking spacing around definition environmentTheorems and parskipremove spacing from a definition
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How to enclose theorems and definition in rectangles?
Vertical space around theoremsTheorems and Definitions as quotesHow to replace all pictures by white rectangles?How to remove line breaks before and after theorems?Horizontal spaces to the left and right of theoremsExtra spacing around restatable theoremsKOMA script and amsthm: Space lost before and after theoremsShrinking spacing around definition environmentTheorems and parskipremove spacing from a definition
The following code
documentclassarticle
usepackageamsthm
usepackageamsmath
usepackagemathtools
usepackage[left=1.5in, right=1.5in, top=0.5in]geometry
newtheoremdefinitionDefinition
newtheoremtheoremTheorem
begindocument
titleExtra Credit
maketitle
begindefinition
If f is analytic at $z_0$, then the series
beginequation
f(z_0) + f'(z_0)(z-z_0) + fracf''(z_0)2!(z-z_0)^2 + cdots = sum_n=0^infty fracf^(n)(z_0)n!(z-z_0)^n
endequation
is called the Taylor series for f around $z_0$.
enddefinition
begintheorem
If f is analytic inside and on the simple closed positively oriented contour $Gamma$ and if $z_0$ is any point inside $Gamma$, then
beginequation
f^(n)(z_0) = fracn!2pi i int_Gamma fracf(zeta)(zeta - z_0)^n+1dzeta hspace1cm (n=1,2,3, cdots )
endequation
endtheorem
begintheorem
(Cauchy's Integral Formula) Let $Gamma$ be a simple closed positively oriented contour. If $f$ is analytic in some simply connected domain $D$ containing $Gamma$ and $z_0$ is any point inside $Gamma$, then
beginequation
f(z_0)= frac12pi i int_Gamma fracf(z)z-z_0 dz
endequation
endtheorem
noindent hrulefill
begintheorem
If f is analytic in the disk $|z-z_0|<R'$, then the Taylor series $(1)$ converges to $f(z)$ for all $z$ in this disk.
endtheorem
produces the following image
How can I enclose Definition 1, Theorem 1, and Theorem 2 in separate rectangles. And have these rectangles separated by a space?
spacing
New contributor
add a comment |
The following code
documentclassarticle
usepackageamsthm
usepackageamsmath
usepackagemathtools
usepackage[left=1.5in, right=1.5in, top=0.5in]geometry
newtheoremdefinitionDefinition
newtheoremtheoremTheorem
begindocument
titleExtra Credit
maketitle
begindefinition
If f is analytic at $z_0$, then the series
beginequation
f(z_0) + f'(z_0)(z-z_0) + fracf''(z_0)2!(z-z_0)^2 + cdots = sum_n=0^infty fracf^(n)(z_0)n!(z-z_0)^n
endequation
is called the Taylor series for f around $z_0$.
enddefinition
begintheorem
If f is analytic inside and on the simple closed positively oriented contour $Gamma$ and if $z_0$ is any point inside $Gamma$, then
beginequation
f^(n)(z_0) = fracn!2pi i int_Gamma fracf(zeta)(zeta - z_0)^n+1dzeta hspace1cm (n=1,2,3, cdots )
endequation
endtheorem
begintheorem
(Cauchy's Integral Formula) Let $Gamma$ be a simple closed positively oriented contour. If $f$ is analytic in some simply connected domain $D$ containing $Gamma$ and $z_0$ is any point inside $Gamma$, then
beginequation
f(z_0)= frac12pi i int_Gamma fracf(z)z-z_0 dz
endequation
endtheorem
noindent hrulefill
begintheorem
If f is analytic in the disk $|z-z_0|<R'$, then the Taylor series $(1)$ converges to $f(z)$ for all $z$ in this disk.
endtheorem
produces the following image
How can I enclose Definition 1, Theorem 1, and Theorem 2 in separate rectangles. And have these rectangles separated by a space?
spacing
New contributor
Do you want all theorems/definition to be enclosed in a frame, or only some?
– Bernard
3 hours ago
I would like all theorems/definitions to be enclosed in a frame except for Theorem 3
– K.M
3 hours ago
In this case you should take a look at thenewframedtheorem
command inntheorem
.
– Bernard
3 hours ago
add a comment |
The following code
documentclassarticle
usepackageamsthm
usepackageamsmath
usepackagemathtools
usepackage[left=1.5in, right=1.5in, top=0.5in]geometry
newtheoremdefinitionDefinition
newtheoremtheoremTheorem
begindocument
titleExtra Credit
maketitle
begindefinition
If f is analytic at $z_0$, then the series
beginequation
f(z_0) + f'(z_0)(z-z_0) + fracf''(z_0)2!(z-z_0)^2 + cdots = sum_n=0^infty fracf^(n)(z_0)n!(z-z_0)^n
endequation
is called the Taylor series for f around $z_0$.
enddefinition
begintheorem
If f is analytic inside and on the simple closed positively oriented contour $Gamma$ and if $z_0$ is any point inside $Gamma$, then
beginequation
f^(n)(z_0) = fracn!2pi i int_Gamma fracf(zeta)(zeta - z_0)^n+1dzeta hspace1cm (n=1,2,3, cdots )
endequation
endtheorem
begintheorem
(Cauchy's Integral Formula) Let $Gamma$ be a simple closed positively oriented contour. If $f$ is analytic in some simply connected domain $D$ containing $Gamma$ and $z_0$ is any point inside $Gamma$, then
beginequation
f(z_0)= frac12pi i int_Gamma fracf(z)z-z_0 dz
endequation
endtheorem
noindent hrulefill
begintheorem
If f is analytic in the disk $|z-z_0|<R'$, then the Taylor series $(1)$ converges to $f(z)$ for all $z$ in this disk.
endtheorem
produces the following image
How can I enclose Definition 1, Theorem 1, and Theorem 2 in separate rectangles. And have these rectangles separated by a space?
spacing
New contributor
The following code
documentclassarticle
usepackageamsthm
usepackageamsmath
usepackagemathtools
usepackage[left=1.5in, right=1.5in, top=0.5in]geometry
newtheoremdefinitionDefinition
newtheoremtheoremTheorem
begindocument
titleExtra Credit
maketitle
begindefinition
If f is analytic at $z_0$, then the series
beginequation
f(z_0) + f'(z_0)(z-z_0) + fracf''(z_0)2!(z-z_0)^2 + cdots = sum_n=0^infty fracf^(n)(z_0)n!(z-z_0)^n
endequation
is called the Taylor series for f around $z_0$.
enddefinition
begintheorem
If f is analytic inside and on the simple closed positively oriented contour $Gamma$ and if $z_0$ is any point inside $Gamma$, then
beginequation
f^(n)(z_0) = fracn!2pi i int_Gamma fracf(zeta)(zeta - z_0)^n+1dzeta hspace1cm (n=1,2,3, cdots )
endequation
endtheorem
begintheorem
(Cauchy's Integral Formula) Let $Gamma$ be a simple closed positively oriented contour. If $f$ is analytic in some simply connected domain $D$ containing $Gamma$ and $z_0$ is any point inside $Gamma$, then
beginequation
f(z_0)= frac12pi i int_Gamma fracf(z)z-z_0 dz
endequation
endtheorem
noindent hrulefill
begintheorem
If f is analytic in the disk $|z-z_0|<R'$, then the Taylor series $(1)$ converges to $f(z)$ for all $z$ in this disk.
endtheorem
produces the following image
How can I enclose Definition 1, Theorem 1, and Theorem 2 in separate rectangles. And have these rectangles separated by a space?
spacing
spacing
New contributor
New contributor
New contributor
asked 3 hours ago
K.MK.M
1305
1305
New contributor
New contributor
Do you want all theorems/definition to be enclosed in a frame, or only some?
– Bernard
3 hours ago
I would like all theorems/definitions to be enclosed in a frame except for Theorem 3
– K.M
3 hours ago
In this case you should take a look at thenewframedtheorem
command inntheorem
.
– Bernard
3 hours ago
add a comment |
Do you want all theorems/definition to be enclosed in a frame, or only some?
– Bernard
3 hours ago
I would like all theorems/definitions to be enclosed in a frame except for Theorem 3
– K.M
3 hours ago
In this case you should take a look at thenewframedtheorem
command inntheorem
.
– Bernard
3 hours ago
Do you want all theorems/definition to be enclosed in a frame, or only some?
– Bernard
3 hours ago
Do you want all theorems/definition to be enclosed in a frame, or only some?
– Bernard
3 hours ago
I would like all theorems/definitions to be enclosed in a frame except for Theorem 3
– K.M
3 hours ago
I would like all theorems/definitions to be enclosed in a frame except for Theorem 3
– K.M
3 hours ago
In this case you should take a look at the
newframedtheorem
command in ntheorem
.– Bernard
3 hours ago
In this case you should take a look at the
newframedtheorem
command in ntheorem
.– Bernard
3 hours ago
add a comment |
2 Answers
2
active
oldest
votes
You can try with shadethm
package, it can do all you want and many more. In you example what you need is:
documentclassarticle
usepackageshadethm
usepackagemathtools
newshadetheoremboxdefDefinition[section]
newshadetheoremboxtheorem[boxdef]Theorem
newtheoremtheorem[boxdef]Theorem
setlengthshadeboxsep2pt
setlengthshadeboxrule.4pt
setlengthshadedtextwidthtextwidth
addtolengthshadedtextwidth-2shadeboxsep
addtolengthshadedtextwidth-2shadeboxrule
setlengthshadeleftshift0pt
setlengthshaderightshift0pt
definecolorshadethmcolorcmyk0,0,0,0
definecolorshaderulecolorcmyk0,0,0,1
begindocument
sectionBoxed theorems
beginboxdef
If f is analytic at $z_0$, then the series
beginequation
f(z_0) + f'(z_0)(z-z_0) + fracf''(z_0)2!(z-z_0)^2 + cdots = sum_n=0^infty fracf^(n)(z_0)n!(z-z_0)^n
endequation
is called the Taylor series for f around $z_0$.
endboxdef
beginboxtheorem
If f is analytic inside and on the simple closed positively oriented contour $Gamma$ and if $z_0$ is any point inside $Gamma$, then
beginequation
f^(n)(z_0) = fracn!2pi i int_Gamma fracf(zeta)(zeta - z_0)^n+1dzeta hspace1cm (n=1,2,3, cdots )
endequation
endboxtheorem
beginboxtheorem
(Cauchy's Integral Formula) Let $Gamma$ be a simple closed positively oriented contour. If $f$ is analytic in some simply connected domain $D$ containing $Gamma$ and $z_0$ is any point inside $Gamma$, then
beginequation
f(z_0)= frac12pi i int_Gamma fracf(z)z-z_0 dz
endequation
endboxtheorem
noindent hrulefill
begintheorem
If f is analytic in the disk $|z-z_0|<R'$, then the Taylor series $(1)$ converges to $f(z)$ for all $z$ in this disk.
endtheorem
enddocument
which produces the following:
FornewshadetheoremboxdefDefinition[section] newshadetheoremboxtheorem[boxdef]Theorem newtheoremtheorem[boxdef]Theorem
, why isboxdef
in brackets?
– K.M
2 hours ago
add a comment |
Here is a solution with thmtools
, which cooperates wit amsthm
. Unrelated: you don't have to load amsmath
if you load mathtools
, as the latter does it for you:
documentclassarticle
usepackageamsthm, thmtools
usepackagemathtools
usepackage[left=1.5in, right=1.5in, top=0.5in]geometry
newtheoremdefinitionDefinition
newtheoremtheoremTheorem
declaretheorem[sibling=definition, shaded=rulecolor=black, rulewidth=0.6pt, bgcolor=rgb1,1,1,name=Definition]boxeddef
declaretheorem[sibling=theorem, shaded=rulecolor=black, rulewidth=0.6pt, bgcolor=rgb1,1,1,name=Theorem]boxedthm
begindocument
titleExtra Credit
author
maketitle
beginboxeddef
If f is analytic at $z_0$, then the series
beginequation
f(z_0) + f'(z_0)(z-z_0) + fracf''(z_0)2!(z-z_0)^2 + cdots = sum_n=0^infty fracf^(n)(z_0)n!(z-z_0)^n
endequation
is called the Taylor series for f around $z_0$.
endboxeddef
beginboxedthm
If f is analytic inside and on the simple closed positively oriented contour $Gamma$ and if $z_0$ is any point inside $Gamma$, then
beginequation
f^(n)(z_0) = fracn!2pi i int_Gamma fracf(zeta)(zeta - z_0)^n+1dzeta hspace1cm (n=1,2,3, cdots )
endequation
endboxedthm
beginboxedthm
(Cauchy's Integral Formula) Let $Gamma$ be a simple closed positively oriented contour. If $f$ is analytic in some simply connected domain $D$ containing $Gamma$ and $z_0$ is any point inside $Gamma$, then
beginequation
f(z_0)= frac12pi i int_Gamma fracf(z)z-z_0 dz
endequation
endboxedthm
noindent hrulefill
begintheorem
If f is analytic in the disk $|z-z_0|<R'$, then the Taylor series $(1)$ converges to $f(z)$ for all $z$ in this disk.
endtheorem
enddocument
add a comment |
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2 Answers
2
active
oldest
votes
2 Answers
2
active
oldest
votes
active
oldest
votes
active
oldest
votes
You can try with shadethm
package, it can do all you want and many more. In you example what you need is:
documentclassarticle
usepackageshadethm
usepackagemathtools
newshadetheoremboxdefDefinition[section]
newshadetheoremboxtheorem[boxdef]Theorem
newtheoremtheorem[boxdef]Theorem
setlengthshadeboxsep2pt
setlengthshadeboxrule.4pt
setlengthshadedtextwidthtextwidth
addtolengthshadedtextwidth-2shadeboxsep
addtolengthshadedtextwidth-2shadeboxrule
setlengthshadeleftshift0pt
setlengthshaderightshift0pt
definecolorshadethmcolorcmyk0,0,0,0
definecolorshaderulecolorcmyk0,0,0,1
begindocument
sectionBoxed theorems
beginboxdef
If f is analytic at $z_0$, then the series
beginequation
f(z_0) + f'(z_0)(z-z_0) + fracf''(z_0)2!(z-z_0)^2 + cdots = sum_n=0^infty fracf^(n)(z_0)n!(z-z_0)^n
endequation
is called the Taylor series for f around $z_0$.
endboxdef
beginboxtheorem
If f is analytic inside and on the simple closed positively oriented contour $Gamma$ and if $z_0$ is any point inside $Gamma$, then
beginequation
f^(n)(z_0) = fracn!2pi i int_Gamma fracf(zeta)(zeta - z_0)^n+1dzeta hspace1cm (n=1,2,3, cdots )
endequation
endboxtheorem
beginboxtheorem
(Cauchy's Integral Formula) Let $Gamma$ be a simple closed positively oriented contour. If $f$ is analytic in some simply connected domain $D$ containing $Gamma$ and $z_0$ is any point inside $Gamma$, then
beginequation
f(z_0)= frac12pi i int_Gamma fracf(z)z-z_0 dz
endequation
endboxtheorem
noindent hrulefill
begintheorem
If f is analytic in the disk $|z-z_0|<R'$, then the Taylor series $(1)$ converges to $f(z)$ for all $z$ in this disk.
endtheorem
enddocument
which produces the following:
FornewshadetheoremboxdefDefinition[section] newshadetheoremboxtheorem[boxdef]Theorem newtheoremtheorem[boxdef]Theorem
, why isboxdef
in brackets?
– K.M
2 hours ago
add a comment |
You can try with shadethm
package, it can do all you want and many more. In you example what you need is:
documentclassarticle
usepackageshadethm
usepackagemathtools
newshadetheoremboxdefDefinition[section]
newshadetheoremboxtheorem[boxdef]Theorem
newtheoremtheorem[boxdef]Theorem
setlengthshadeboxsep2pt
setlengthshadeboxrule.4pt
setlengthshadedtextwidthtextwidth
addtolengthshadedtextwidth-2shadeboxsep
addtolengthshadedtextwidth-2shadeboxrule
setlengthshadeleftshift0pt
setlengthshaderightshift0pt
definecolorshadethmcolorcmyk0,0,0,0
definecolorshaderulecolorcmyk0,0,0,1
begindocument
sectionBoxed theorems
beginboxdef
If f is analytic at $z_0$, then the series
beginequation
f(z_0) + f'(z_0)(z-z_0) + fracf''(z_0)2!(z-z_0)^2 + cdots = sum_n=0^infty fracf^(n)(z_0)n!(z-z_0)^n
endequation
is called the Taylor series for f around $z_0$.
endboxdef
beginboxtheorem
If f is analytic inside and on the simple closed positively oriented contour $Gamma$ and if $z_0$ is any point inside $Gamma$, then
beginequation
f^(n)(z_0) = fracn!2pi i int_Gamma fracf(zeta)(zeta - z_0)^n+1dzeta hspace1cm (n=1,2,3, cdots )
endequation
endboxtheorem
beginboxtheorem
(Cauchy's Integral Formula) Let $Gamma$ be a simple closed positively oriented contour. If $f$ is analytic in some simply connected domain $D$ containing $Gamma$ and $z_0$ is any point inside $Gamma$, then
beginequation
f(z_0)= frac12pi i int_Gamma fracf(z)z-z_0 dz
endequation
endboxtheorem
noindent hrulefill
begintheorem
If f is analytic in the disk $|z-z_0|<R'$, then the Taylor series $(1)$ converges to $f(z)$ for all $z$ in this disk.
endtheorem
enddocument
which produces the following:
FornewshadetheoremboxdefDefinition[section] newshadetheoremboxtheorem[boxdef]Theorem newtheoremtheorem[boxdef]Theorem
, why isboxdef
in brackets?
– K.M
2 hours ago
add a comment |
You can try with shadethm
package, it can do all you want and many more. In you example what you need is:
documentclassarticle
usepackageshadethm
usepackagemathtools
newshadetheoremboxdefDefinition[section]
newshadetheoremboxtheorem[boxdef]Theorem
newtheoremtheorem[boxdef]Theorem
setlengthshadeboxsep2pt
setlengthshadeboxrule.4pt
setlengthshadedtextwidthtextwidth
addtolengthshadedtextwidth-2shadeboxsep
addtolengthshadedtextwidth-2shadeboxrule
setlengthshadeleftshift0pt
setlengthshaderightshift0pt
definecolorshadethmcolorcmyk0,0,0,0
definecolorshaderulecolorcmyk0,0,0,1
begindocument
sectionBoxed theorems
beginboxdef
If f is analytic at $z_0$, then the series
beginequation
f(z_0) + f'(z_0)(z-z_0) + fracf''(z_0)2!(z-z_0)^2 + cdots = sum_n=0^infty fracf^(n)(z_0)n!(z-z_0)^n
endequation
is called the Taylor series for f around $z_0$.
endboxdef
beginboxtheorem
If f is analytic inside and on the simple closed positively oriented contour $Gamma$ and if $z_0$ is any point inside $Gamma$, then
beginequation
f^(n)(z_0) = fracn!2pi i int_Gamma fracf(zeta)(zeta - z_0)^n+1dzeta hspace1cm (n=1,2,3, cdots )
endequation
endboxtheorem
beginboxtheorem
(Cauchy's Integral Formula) Let $Gamma$ be a simple closed positively oriented contour. If $f$ is analytic in some simply connected domain $D$ containing $Gamma$ and $z_0$ is any point inside $Gamma$, then
beginequation
f(z_0)= frac12pi i int_Gamma fracf(z)z-z_0 dz
endequation
endboxtheorem
noindent hrulefill
begintheorem
If f is analytic in the disk $|z-z_0|<R'$, then the Taylor series $(1)$ converges to $f(z)$ for all $z$ in this disk.
endtheorem
enddocument
which produces the following:
You can try with shadethm
package, it can do all you want and many more. In you example what you need is:
documentclassarticle
usepackageshadethm
usepackagemathtools
newshadetheoremboxdefDefinition[section]
newshadetheoremboxtheorem[boxdef]Theorem
newtheoremtheorem[boxdef]Theorem
setlengthshadeboxsep2pt
setlengthshadeboxrule.4pt
setlengthshadedtextwidthtextwidth
addtolengthshadedtextwidth-2shadeboxsep
addtolengthshadedtextwidth-2shadeboxrule
setlengthshadeleftshift0pt
setlengthshaderightshift0pt
definecolorshadethmcolorcmyk0,0,0,0
definecolorshaderulecolorcmyk0,0,0,1
begindocument
sectionBoxed theorems
beginboxdef
If f is analytic at $z_0$, then the series
beginequation
f(z_0) + f'(z_0)(z-z_0) + fracf''(z_0)2!(z-z_0)^2 + cdots = sum_n=0^infty fracf^(n)(z_0)n!(z-z_0)^n
endequation
is called the Taylor series for f around $z_0$.
endboxdef
beginboxtheorem
If f is analytic inside and on the simple closed positively oriented contour $Gamma$ and if $z_0$ is any point inside $Gamma$, then
beginequation
f^(n)(z_0) = fracn!2pi i int_Gamma fracf(zeta)(zeta - z_0)^n+1dzeta hspace1cm (n=1,2,3, cdots )
endequation
endboxtheorem
beginboxtheorem
(Cauchy's Integral Formula) Let $Gamma$ be a simple closed positively oriented contour. If $f$ is analytic in some simply connected domain $D$ containing $Gamma$ and $z_0$ is any point inside $Gamma$, then
beginequation
f(z_0)= frac12pi i int_Gamma fracf(z)z-z_0 dz
endequation
endboxtheorem
noindent hrulefill
begintheorem
If f is analytic in the disk $|z-z_0|<R'$, then the Taylor series $(1)$ converges to $f(z)$ for all $z$ in this disk.
endtheorem
enddocument
which produces the following:
answered 2 hours ago
Luis TurcioLuis Turcio
1259
1259
FornewshadetheoremboxdefDefinition[section] newshadetheoremboxtheorem[boxdef]Theorem newtheoremtheorem[boxdef]Theorem
, why isboxdef
in brackets?
– K.M
2 hours ago
add a comment |
FornewshadetheoremboxdefDefinition[section] newshadetheoremboxtheorem[boxdef]Theorem newtheoremtheorem[boxdef]Theorem
, why isboxdef
in brackets?
– K.M
2 hours ago
For
newshadetheoremboxdefDefinition[section] newshadetheoremboxtheorem[boxdef]Theorem newtheoremtheorem[boxdef]Theorem
, why is boxdef
in brackets?– K.M
2 hours ago
For
newshadetheoremboxdefDefinition[section] newshadetheoremboxtheorem[boxdef]Theorem newtheoremtheorem[boxdef]Theorem
, why is boxdef
in brackets?– K.M
2 hours ago
add a comment |
Here is a solution with thmtools
, which cooperates wit amsthm
. Unrelated: you don't have to load amsmath
if you load mathtools
, as the latter does it for you:
documentclassarticle
usepackageamsthm, thmtools
usepackagemathtools
usepackage[left=1.5in, right=1.5in, top=0.5in]geometry
newtheoremdefinitionDefinition
newtheoremtheoremTheorem
declaretheorem[sibling=definition, shaded=rulecolor=black, rulewidth=0.6pt, bgcolor=rgb1,1,1,name=Definition]boxeddef
declaretheorem[sibling=theorem, shaded=rulecolor=black, rulewidth=0.6pt, bgcolor=rgb1,1,1,name=Theorem]boxedthm
begindocument
titleExtra Credit
author
maketitle
beginboxeddef
If f is analytic at $z_0$, then the series
beginequation
f(z_0) + f'(z_0)(z-z_0) + fracf''(z_0)2!(z-z_0)^2 + cdots = sum_n=0^infty fracf^(n)(z_0)n!(z-z_0)^n
endequation
is called the Taylor series for f around $z_0$.
endboxeddef
beginboxedthm
If f is analytic inside and on the simple closed positively oriented contour $Gamma$ and if $z_0$ is any point inside $Gamma$, then
beginequation
f^(n)(z_0) = fracn!2pi i int_Gamma fracf(zeta)(zeta - z_0)^n+1dzeta hspace1cm (n=1,2,3, cdots )
endequation
endboxedthm
beginboxedthm
(Cauchy's Integral Formula) Let $Gamma$ be a simple closed positively oriented contour. If $f$ is analytic in some simply connected domain $D$ containing $Gamma$ and $z_0$ is any point inside $Gamma$, then
beginequation
f(z_0)= frac12pi i int_Gamma fracf(z)z-z_0 dz
endequation
endboxedthm
noindent hrulefill
begintheorem
If f is analytic in the disk $|z-z_0|<R'$, then the Taylor series $(1)$ converges to $f(z)$ for all $z$ in this disk.
endtheorem
enddocument
add a comment |
Here is a solution with thmtools
, which cooperates wit amsthm
. Unrelated: you don't have to load amsmath
if you load mathtools
, as the latter does it for you:
documentclassarticle
usepackageamsthm, thmtools
usepackagemathtools
usepackage[left=1.5in, right=1.5in, top=0.5in]geometry
newtheoremdefinitionDefinition
newtheoremtheoremTheorem
declaretheorem[sibling=definition, shaded=rulecolor=black, rulewidth=0.6pt, bgcolor=rgb1,1,1,name=Definition]boxeddef
declaretheorem[sibling=theorem, shaded=rulecolor=black, rulewidth=0.6pt, bgcolor=rgb1,1,1,name=Theorem]boxedthm
begindocument
titleExtra Credit
author
maketitle
beginboxeddef
If f is analytic at $z_0$, then the series
beginequation
f(z_0) + f'(z_0)(z-z_0) + fracf''(z_0)2!(z-z_0)^2 + cdots = sum_n=0^infty fracf^(n)(z_0)n!(z-z_0)^n
endequation
is called the Taylor series for f around $z_0$.
endboxeddef
beginboxedthm
If f is analytic inside and on the simple closed positively oriented contour $Gamma$ and if $z_0$ is any point inside $Gamma$, then
beginequation
f^(n)(z_0) = fracn!2pi i int_Gamma fracf(zeta)(zeta - z_0)^n+1dzeta hspace1cm (n=1,2,3, cdots )
endequation
endboxedthm
beginboxedthm
(Cauchy's Integral Formula) Let $Gamma$ be a simple closed positively oriented contour. If $f$ is analytic in some simply connected domain $D$ containing $Gamma$ and $z_0$ is any point inside $Gamma$, then
beginequation
f(z_0)= frac12pi i int_Gamma fracf(z)z-z_0 dz
endequation
endboxedthm
noindent hrulefill
begintheorem
If f is analytic in the disk $|z-z_0|<R'$, then the Taylor series $(1)$ converges to $f(z)$ for all $z$ in this disk.
endtheorem
enddocument
add a comment |
Here is a solution with thmtools
, which cooperates wit amsthm
. Unrelated: you don't have to load amsmath
if you load mathtools
, as the latter does it for you:
documentclassarticle
usepackageamsthm, thmtools
usepackagemathtools
usepackage[left=1.5in, right=1.5in, top=0.5in]geometry
newtheoremdefinitionDefinition
newtheoremtheoremTheorem
declaretheorem[sibling=definition, shaded=rulecolor=black, rulewidth=0.6pt, bgcolor=rgb1,1,1,name=Definition]boxeddef
declaretheorem[sibling=theorem, shaded=rulecolor=black, rulewidth=0.6pt, bgcolor=rgb1,1,1,name=Theorem]boxedthm
begindocument
titleExtra Credit
author
maketitle
beginboxeddef
If f is analytic at $z_0$, then the series
beginequation
f(z_0) + f'(z_0)(z-z_0) + fracf''(z_0)2!(z-z_0)^2 + cdots = sum_n=0^infty fracf^(n)(z_0)n!(z-z_0)^n
endequation
is called the Taylor series for f around $z_0$.
endboxeddef
beginboxedthm
If f is analytic inside and on the simple closed positively oriented contour $Gamma$ and if $z_0$ is any point inside $Gamma$, then
beginequation
f^(n)(z_0) = fracn!2pi i int_Gamma fracf(zeta)(zeta - z_0)^n+1dzeta hspace1cm (n=1,2,3, cdots )
endequation
endboxedthm
beginboxedthm
(Cauchy's Integral Formula) Let $Gamma$ be a simple closed positively oriented contour. If $f$ is analytic in some simply connected domain $D$ containing $Gamma$ and $z_0$ is any point inside $Gamma$, then
beginequation
f(z_0)= frac12pi i int_Gamma fracf(z)z-z_0 dz
endequation
endboxedthm
noindent hrulefill
begintheorem
If f is analytic in the disk $|z-z_0|<R'$, then the Taylor series $(1)$ converges to $f(z)$ for all $z$ in this disk.
endtheorem
enddocument
Here is a solution with thmtools
, which cooperates wit amsthm
. Unrelated: you don't have to load amsmath
if you load mathtools
, as the latter does it for you:
documentclassarticle
usepackageamsthm, thmtools
usepackagemathtools
usepackage[left=1.5in, right=1.5in, top=0.5in]geometry
newtheoremdefinitionDefinition
newtheoremtheoremTheorem
declaretheorem[sibling=definition, shaded=rulecolor=black, rulewidth=0.6pt, bgcolor=rgb1,1,1,name=Definition]boxeddef
declaretheorem[sibling=theorem, shaded=rulecolor=black, rulewidth=0.6pt, bgcolor=rgb1,1,1,name=Theorem]boxedthm
begindocument
titleExtra Credit
author
maketitle
beginboxeddef
If f is analytic at $z_0$, then the series
beginequation
f(z_0) + f'(z_0)(z-z_0) + fracf''(z_0)2!(z-z_0)^2 + cdots = sum_n=0^infty fracf^(n)(z_0)n!(z-z_0)^n
endequation
is called the Taylor series for f around $z_0$.
endboxeddef
beginboxedthm
If f is analytic inside and on the simple closed positively oriented contour $Gamma$ and if $z_0$ is any point inside $Gamma$, then
beginequation
f^(n)(z_0) = fracn!2pi i int_Gamma fracf(zeta)(zeta - z_0)^n+1dzeta hspace1cm (n=1,2,3, cdots )
endequation
endboxedthm
beginboxedthm
(Cauchy's Integral Formula) Let $Gamma$ be a simple closed positively oriented contour. If $f$ is analytic in some simply connected domain $D$ containing $Gamma$ and $z_0$ is any point inside $Gamma$, then
beginequation
f(z_0)= frac12pi i int_Gamma fracf(z)z-z_0 dz
endequation
endboxedthm
noindent hrulefill
begintheorem
If f is analytic in the disk $|z-z_0|<R'$, then the Taylor series $(1)$ converges to $f(z)$ for all $z$ in this disk.
endtheorem
enddocument
answered 2 hours ago
BernardBernard
175k776207
175k776207
add a comment |
add a comment |
K.M is a new contributor. Be nice, and check out our Code of Conduct.
K.M is a new contributor. Be nice, and check out our Code of Conduct.
K.M is a new contributor. Be nice, and check out our Code of Conduct.
K.M is a new contributor. Be nice, and check out our Code of Conduct.
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Do you want all theorems/definition to be enclosed in a frame, or only some?
– Bernard
3 hours ago
I would like all theorems/definitions to be enclosed in a frame except for Theorem 3
– K.M
3 hours ago
In this case you should take a look at the
newframedtheorem
command inntheorem
.– Bernard
3 hours ago