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How do I make a term more proportionate?
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The following code:
In order to find $A_{0}^1$:
begin{equation}
A_{0}^{1} = lim_{z rightarrow -1}dfrac{d^0}{dz^0}Bigg[dfrac{(z+1)z}{(z+1)(z-2)}Bigg]=lim_{z rightarrow -1}dfrac{z}{(z-2)}=dfrac{1}{3}
end{equation}
And in order to find $A_{0}^2$:
begin{equation}
A_{0}^2 = lim_{z rightarrow 2} dfrac{d^0}{dz^0}Bigg[dfrac{(z-2)z}{(z+1)(z-2)}Bigg]=lim_{z rightarrow 2}dfrac{z}{(z+1)}=dfrac{2}{3}
end{equation}
From (38) we get:
begin{equation}
dfrac{1}{3}Bigg[dfrac{1}{z+1}Bigg]+dfrac{2}{3}Bigg[dfrac{1}{z-2}Bigg]
end{equation}
where we have that $Bigg[dfrac{1}{z+1}Bigg]$ can be rewritten as $dfrac{1}{z}dfrac{1}{1-Big(-dfrac{1}{z}Big)}$
gives me the following:
The following is my preamble:
documentclass{article}
usepackage[left=1.5in, right=1.5in, top=0.5in]{geometry}
usepackage{amsmath}
usepackage{mathtools}
usepackage{amsthm}
usepackage{enumitem}
usepackage{graphicx}
usepackage{setspace}
usepackage{amsfonts}
onehalfspacing
DeclareMathOperator{Log}{Log}
DeclareMathOperator{Arg}{Arg}
begin{document}
title{Homework Chapter 5}
author{}
maketitle
How can I make the term shown after rewritten on the last line more proportionate?
fontsize
asked 2 mins ago
K.MK.M
1747
add a comment |
The following code:
In order to find $A_{0}^1$:
begin{equation}
A_{0}^{1} = lim_{z rightarrow -1}dfrac{d^0}{dz^0}Bigg[dfrac{(z+1)z}{(z+1)(z-2)}Bigg]=lim_{z rightarrow -1}dfrac{z}{(z-2)}=dfrac{1}{3}
end{equation}
And in order to find $A_{0}^2$:
begin{equation}
A_{0}^2 = lim_{z rightarrow 2} dfrac{d^0}{dz^0}Bigg[dfrac{(z-2)z}{(z+1)(z-2)}Bigg]=lim_{z rightarrow 2}dfrac{z}{(z+1)}=dfrac{2}{3}
end{equation}
From (38) we get:
begin{equation}
dfrac{1}{3}Bigg[dfrac{1}{z+1}Bigg]+dfrac{2}{3}Bigg[dfrac{1}{z-2}Bigg]
end{equation}
where we have that $Bigg[dfrac{1}{z+1}Bigg]$ can be rewritten as $dfrac{1}{z}dfrac{1}{1-Big(-dfrac{1}{z}Big)}$
gives me the following:
The following is my preamble:
documentclass{article}
usepackage[left=1.5in, right=1.5in, top=0.5in]{geometry}
usepackage{amsmath}
usepackage{mathtools}
usepackage{amsthm}
usepackage{enumitem}
usepackage{graphicx}
usepackage{setspace}
usepackage{amsfonts}
onehalfspacing
DeclareMathOperator{Log}{Log}
DeclareMathOperator{Arg}{Arg}
begin{document}
title{Homework Chapter 5}
author{}
maketitle
How can I make the term shown after rewritten on the last line more proportionate?
fontsize
asked 2 mins ago
K.MK.M
1747
add a comment |
The following code:
In order to find $A_{0}^1$:
begin{equation}
A_{0}^{1} = lim_{z rightarrow -1}dfrac{d^0}{dz^0}Bigg[dfrac{(z+1)z}{(z+1)(z-2)}Bigg]=lim_{z rightarrow -1}dfrac{z}{(z-2)}=dfrac{1}{3}
end{equation}
And in order to find $A_{0}^2$:
begin{equation}
A_{0}^2 = lim_{z rightarrow 2} dfrac{d^0}{dz^0}Bigg[dfrac{(z-2)z}{(z+1)(z-2)}Bigg]=lim_{z rightarrow 2}dfrac{z}{(z+1)}=dfrac{2}{3}
end{equation}
From (38) we get:
begin{equation}
dfrac{1}{3}Bigg[dfrac{1}{z+1}Bigg]+dfrac{2}{3}Bigg[dfrac{1}{z-2}Bigg]
end{equation}
where we have that $Bigg[dfrac{1}{z+1}Bigg]$ can be rewritten as $dfrac{1}{z}dfrac{1}{1-Big(-dfrac{1}{z}Big)}$
gives me the following:
The following is my preamble:
documentclass{article}
usepackage[left=1.5in, right=1.5in, top=0.5in]{geometry}
usepackage{amsmath}
usepackage{mathtools}
usepackage{amsthm}
usepackage{enumitem}
usepackage{graphicx}
usepackage{setspace}
usepackage{amsfonts}
onehalfspacing
DeclareMathOperator{Log}{Log}
DeclareMathOperator{Arg}{Arg}
begin{document}
title{Homework Chapter 5}
author{}
maketitle
How can I make the term shown after rewritten on the last line more proportionate?
fontsize
asked 2 mins ago
K.MK.M
1747
The following code:
In order to find $A_{0}^1$:
begin{equation}
A_{0}^{1} = lim_{z rightarrow -1}dfrac{d^0}{dz^0}Bigg[dfrac{(z+1)z}{(z+1)(z-2)}Bigg]=lim_{z rightarrow -1}dfrac{z}{(z-2)}=dfrac{1}{3}
end{equation}
And in order to find $A_{0}^2$:
begin{equation}
A_{0}^2 = lim_{z rightarrow 2} dfrac{d^0}{dz^0}Bigg[dfrac{(z-2)z}{(z+1)(z-2)}Bigg]=lim_{z rightarrow 2}dfrac{z}{(z+1)}=dfrac{2}{3}
end{equation}
From (38) we get:
begin{equation}
dfrac{1}{3}Bigg[dfrac{1}{z+1}Bigg]+dfrac{2}{3}Bigg[dfrac{1}{z-2}Bigg]
end{equation}
where we have that $Bigg[dfrac{1}{z+1}Bigg]$ can be rewritten as $dfrac{1}{z}dfrac{1}{1-Big(-dfrac{1}{z}Big)}$
gives me the following:
The following is my preamble:
documentclass{article}
usepackage[left=1.5in, right=1.5in, top=0.5in]{geometry}
usepackage{amsmath}
usepackage{mathtools}
usepackage{amsthm}
usepackage{enumitem}
usepackage{graphicx}
usepackage{setspace}
usepackage{amsfonts}
onehalfspacing
DeclareMathOperator{Log}{Log}
DeclareMathOperator{Arg}{Arg}
begin{document}
title{Homework Chapter 5}
author{}
maketitle
How can I make the term shown after rewritten on the last line more proportionate?
fontsize
fontsize
asked 2 mins ago
K.MK.M
1747
asked 2 mins ago
K.MK.M
1747
asked 2 mins ago
K.MK.M
1747
asked 2 mins ago
K.MK.M
1747
asked 2 mins ago
K.MK.M
1747
1747
add a comment |
add a comment |
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