Father's PhD Thesis
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From: I.N. Galidakis on 22 Oct 2009 03:41 In 1967 my dad submitted his PhD thesis in the area of the Mathematical Theory of Elasticity at the National Technical University of Athens. His thesis was of fundamental importance to the development of the Theory of Elasticity using Complex Variables. Subsequently, in 1968 and after acceptance, he printed a book version, but the typesetting facilities at that time were horrendous, as a result, the book of which I have two copies at hand, suffered many typos. Because Google scholar mentions the thesis as a citation already, I decided to typeset it in LaTeX and make it available on the net. If you have a strong background in Complex Analysis and think you can spot any further typos, I'd appreciate you mentioning them here so I can make further relevant corrections. Link to .pdf: http://ioannis.virtualcomposer2000.com/math/FathersPhD.html Many thanks. -- Ioannis
From: José Carlos Santos on 22 Oct 2009 04:58 On 22-10-2009 8:41, I.N. Galidakis wrote: > In 1967 my dad submitted his PhD thesis in the area of the Mathematical Theory > of Elasticity at the National Technical University of Athens. His thesis was of > fundamental importance to the development of the Theory of Elasticity using > Complex Variables. > > Subsequently, in 1968 and after acceptance, he printed a book version, but the > typesetting facilities at that time were horrendous, as a result, the book of > which I have two copies at hand, suffered many typos. > > Because Google scholar mentions the thesis as a citation already, I decided to > typeset it in LaTeX and make it available on the net. > > If you have a strong background in Complex Analysis and think you can spot any > further typos, I'd appreciate you mentioning them here so I can make further > relevant corrections. At the bottom of page 29 there is a translator's note in which you claim that "LaTeX typography doesn't allow breaks on non-balanced parentheses". This is not true. For instance, you can put together the first line of (40) and the first line of page 30 by doing: \begin{align} \begin{gathered} \Phi_1''(z)=\frac{-\rho_2}{\rho_1-\rho_2}\left[\frac p{2\pi i} \left(\frac1{\zeta_1^2-1}\ln\left(\frac{\sigma_2}{\sigma_1}\right)+\ln\left( \frac{\sigma_2-\zeta_1}{\sigma_1-\zeta_1}\right)+\right.\right.\\ \left.\frac{(z_1-z'')(\sigma_2- \sigma_1)\zeta_1^2}{(\sigma_1-\zeta_1)(\sigma_2-\zeta_1)\frac R2(\zeta_1^2-1)}\right)+\\ \left.-\frac{Y_0\sigma_1\zeta_1}{2\pi i\frac R2(\sigma_1-\zeta_1)( \sigma_1^2-1)}\right]+\frac{\alpha_1\zeta_1}{\frac R2(\zeta_1^2-1)} \end{gathered} \end{align} Here, I am assuming that you are using the amsmath package. Besides, note that all that I am saying is that it _can_ be done, not that it _should_. Note that the quotation from the footnote above is not correct. What you actually wrote is "LaTeXtypography", without a space. This is so because in LaTeX code you wrote "\LaTeX typography". Since \LaTeX is a command, TeX interprets the space after it as a statement saying that the command has ended and nothing else. In order to actually put a space there you should type "\LaTeX\ typography". Best regards, Jose Carlos Santos
From: I.N. Galidakis on 22 Oct 2009 05:20 Jos� Carlos Santos wrote: > On 22-10-2009 8:41, I.N. Galidakis wrote: > >> In 1967 my dad submitted his PhD thesis in the area of the Mathematical >> Theory of Elasticity at the National Technical University of Athens. His >> thesis was of fundamental importance to the development of the Theory of >> Elasticity using Complex Variables. >> >> Subsequently, in 1968 and after acceptance, he printed a book version, but >> the typesetting facilities at that time were horrendous, as a result, the >> book of which I have two copies at hand, suffered many typos. >> >> Because Google scholar mentions the thesis as a citation already, I decided >> to typeset it in LaTeX and make it available on the net. >> >> If you have a strong background in Complex Analysis and think you can spot >> any further typos, I'd appreciate you mentioning them here so I can make >> further relevant corrections. > > At the bottom of page 29 there is a translator's note in which you claim > that "LaTeX typography doesn't allow breaks on non-balanced > parentheses". This is not true. For instance, you can put together the > first line of (40) and the first line of page 30 by doing: > > \begin{align} > \begin{gathered} > \Phi_1''(z)=\frac{-\rho_2}{\rho_1-\rho_2}\left[\frac p{2\pi i} > \left(\frac1{\zeta_1^2-1}\ln\left(\frac{\sigma_2}{\sigma_1}\right)+\ln\left( > \frac{\sigma_2-\zeta_1}{\sigma_1-\zeta_1}\right)+\right.\right.\\ > \left.\frac{(z_1-z'')(\sigma_2- > \sigma_1)\zeta_1^2}{(\sigma_1-\zeta_1)(\sigma_2-\zeta_1)\frac > R2(\zeta_1^2-1)}\right)+\\ > \left.-\frac{Y_0\sigma_1\zeta_1}{2\pi i\frac R2(\sigma_1-\zeta_1)( > \sigma_1^2-1)}\right]+\frac{\alpha_1\zeta_1}{\frac R2(\zeta_1^2-1)} > \end{gathered} > \end{align} > > Here, I am assuming that you are using the amsmath package. Besides, > note that all that I am saying is that it _can_ be done, not that it > _should_. > > Note that the quotation from the footnote above is not correct. What you > actually wrote is "LaTeXtypography", without a space. This is so because > in LaTeX code you wrote "\LaTeX typography". Since \LaTeX is a command, > TeX interprets the space after it as a statement saying that the command > has ended and nothing else. In order to actually put a space there you > should type "\LaTeX\ typography". Many thanks for the corrections. I will correct the \LaTeX footnote asap. For the long equations, I have already defined macros for parentheses as follows: \newcommand{\abs}[1]{\left\vert#1\right\vert} \newcommand{\paren}[1]{\left(#1\right)} \newcommand{\brac}[1]{\left[#1\right]} \newcommand{\set}[1]{\left\{#1\right\}} \newcommand{\seq}[1]{\left<#1\right>} \newcommand{\floor}[1]{\left\lfloor#1\right\rfloor} in order to have the typesetter automatically adjust the size of the parens, brackets, etc. Can you perhaps give me the same example above using those commands instead of a raw stream which contains \left and \right commands? Their usage is simple; For example: y\paren{3 x + y}, will be typset as: y(3x+y) Many thanks again, > Best regards, > > Jose Carlos Santos -- Ioannis
From: José Carlos Santos on 22 Oct 2009 05:43 On 22-10-2009 10:20, I.N. Galidakis wrote: >>> In 1967 my dad submitted his PhD thesis in the area of the Mathematical >>> Theory of Elasticity at the National Technical University of Athens. His >>> thesis was of fundamental importance to the development of the Theory of >>> Elasticity using Complex Variables. >>> >>> Subsequently, in 1968 and after acceptance, he printed a book version, but >>> the typesetting facilities at that time were horrendous, as a result, the >>> book of which I have two copies at hand, suffered many typos. >>> >>> Because Google scholar mentions the thesis as a citation already, I decided >>> to typeset it in LaTeX and make it available on the net. >>> >>> If you have a strong background in Complex Analysis and think you can spot >>> any further typos, I'd appreciate you mentioning them here so I can make >>> further relevant corrections. >> At the bottom of page 29 there is a translator's note in which you claim >> that "LaTeX typography doesn't allow breaks on non-balanced >> parentheses". This is not true. For instance, you can put together the >> first line of (40) and the first line of page 30 by doing: >> >> \begin{align} >> \begin{gathered} >> \Phi_1''(z)=\frac{-\rho_2}{\rho_1-\rho_2}\left[\frac p{2\pi i} >> \left(\frac1{\zeta_1^2-1}\ln\left(\frac{\sigma_2}{\sigma_1}\right)+\ln\left( >> \frac{\sigma_2-\zeta_1}{\sigma_1-\zeta_1}\right)+\right.\right.\\ >> \left.\frac{(z_1-z'')(\sigma_2- >> \sigma_1)\zeta_1^2}{(\sigma_1-\zeta_1)(\sigma_2-\zeta_1)\frac >> R2(\zeta_1^2-1)}\right)+\\ >> \left.-\frac{Y_0\sigma_1\zeta_1}{2\pi i\frac R2(\sigma_1-\zeta_1)( >> \sigma_1^2-1)}\right]+\frac{\alpha_1\zeta_1}{\frac R2(\zeta_1^2-1)} >> \end{gathered} >> \end{align} >> >> Here, I am assuming that you are using the amsmath package. Besides, >> note that all that I am saying is that it _can_ be done, not that it >> _should_. >> >> Note that the quotation from the footnote above is not correct. What you >> actually wrote is "LaTeXtypography", without a space. This is so because >> in LaTeX code you wrote "\LaTeX typography". Since \LaTeX is a command, >> TeX interprets the space after it as a statement saying that the command >> has ended and nothing else. In order to actually put a space there you >> should type "\LaTeX\ typography". > > Many thanks for the corrections. I will correct the \LaTeX footnote asap. > > For the long equations, I have already defined macros for parentheses as > follows: > > \newcommand{\abs}[1]{\left\vert#1\right\vert} > \newcommand{\paren}[1]{\left(#1\right)} > \newcommand{\brac}[1]{\left[#1\right]} > \newcommand{\set}[1]{\left\{#1\right\}} > \newcommand{\seq}[1]{\left<#1\right>} > \newcommand{\floor}[1]{\left\lfloor#1\right\rfloor} > > in order to have the typesetter automatically adjust the size of the parens, > brackets, etc. > > Can you perhaps give me the same example above using those commands instead of a > raw stream which contains \left and \right commands? Their usage is simple; > > For example: > > y\paren{3 x + y}, will be typset as: > > y(3x+y) No, I cannot do that. Being able to use your commands implies that the parenthesis are balanced on each line, which is exactly what cannot be done in your example. Best regards, Jose Carlos Santos
From: I.N. Galidakis on 22 Oct 2009 05:54
Jos� Carlos Santos wrote: > On 22-10-2009 10:20, I.N. Galidakis wrote: > >>>> In 1967 my dad submitted his PhD thesis in the area of the Mathematical >>>> Theory of Elasticity at the National Technical University of Athens. His >>>> thesis was of fundamental importance to the development of the Theory of >>>> Elasticity using Complex Variables. >>>> >>>> Subsequently, in 1968 and after acceptance, he printed a book version, but >>>> the typesetting facilities at that time were horrendous, as a result, the >>>> book of which I have two copies at hand, suffered many typos. >>>> >>>> Because Google scholar mentions the thesis as a citation already, I decided >>>> to typeset it in LaTeX and make it available on the net. >>>> >>>> If you have a strong background in Complex Analysis and think you can spot >>>> any further typos, I'd appreciate you mentioning them here so I can make >>>> further relevant corrections. >>> At the bottom of page 29 there is a translator's note in which you claim >>> that "LaTeX typography doesn't allow breaks on non-balanced >>> parentheses". This is not true. For instance, you can put together the >>> first line of (40) and the first line of page 30 by doing: >>> >>> \begin{align} >>> \begin{gathered} >>> \Phi_1''(z)=\frac{-\rho_2}{\rho_1-\rho_2}\left[\frac p{2\pi i} >>> \left(\frac1{\zeta_1^2-1}\ln\left(\frac{\sigma_2}{\sigma_1}\right)+\ln\left( >>> \frac{\sigma_2-\zeta_1}{\sigma_1-\zeta_1}\right)+\right.\right.\\ >>> \left.\frac{(z_1-z'')(\sigma_2- >>> \sigma_1)\zeta_1^2}{(\sigma_1-\zeta_1)(\sigma_2-\zeta_1)\frac >>> R2(\zeta_1^2-1)}\right)+\\ >>> \left.-\frac{Y_0\sigma_1\zeta_1}{2\pi i\frac R2(\sigma_1-\zeta_1)( >>> \sigma_1^2-1)}\right]+\frac{\alpha_1\zeta_1}{\frac R2(\zeta_1^2-1)} >>> \end{gathered} >>> \end{align} >>> >>> Here, I am assuming that you are using the amsmath package. Besides, >>> note that all that I am saying is that it _can_ be done, not that it >>> _should_. >>> >>> Note that the quotation from the footnote above is not correct. What you >>> actually wrote is "LaTeXtypography", without a space. This is so because >>> in LaTeX code you wrote "\LaTeX typography". Since \LaTeX is a command, >>> TeX interprets the space after it as a statement saying that the command >>> has ended and nothing else. In order to actually put a space there you >>> should type "\LaTeX\ typography". >> >> Many thanks for the corrections. I will correct the \LaTeX footnote asap. >> >> For the long equations, I have already defined macros for parentheses as >> follows: >> >> \newcommand{\abs}[1]{\left\vert#1\right\vert} >> \newcommand{\paren}[1]{\left(#1\right)} >> \newcommand{\brac}[1]{\left[#1\right]} >> \newcommand{\set}[1]{\left\{#1\right\}} >> \newcommand{\seq}[1]{\left<#1\right>} >> \newcommand{\floor}[1]{\left\lfloor#1\right\rfloor} >> >> in order to have the typesetter automatically adjust the size of the parens, >> brackets, etc. >> >> Can you perhaps give me the same example above using those commands instead >> of a raw stream which contains \left and \right commands? Their usage is >> simple; >> >> For example: >> >> y\paren{3 x + y}, will be typset as: >> >> y(3x+y) > > No, I cannot do that. Being able to use your commands implies that the > parenthesis are balanced on each line, which is exactly what cannot be > done in your example. Thanks. My impression is that it is a bit easier to read, with the terms split. If you (or anyone else) disagrees, I will consider changing the equations using your example. Thanks again for taking the time to look a it. > Best regards, > > Jose Carlos Santos -- Ioannis |