Modifique caracteres de mt2pro[lite] usando Times

Question

Gostaria de saber se é possível modificar o seguinte MWE adicionando apenas alguns caracteres.

\documentclass[12pt,fleqn]{book} 
\usepackage[italian]{babel}
\usepackage{times} % Use the Times font for headings
\usepackage[lite]{mtpro2}% 
\usepackage{microtype} % Slightly tweak font spacing for aesthetics
\usepackage[utf8]{inputenc} % Required for including letters with accents
\usepackage[T1]{fontenc} % Use 8-bit encoding that has 256 glyphs
\def\xyz{(x,y,z)}
\begin{document}


\begin{equation}
\frac{\partial \varphi \xyz}{\partial x}\hat{\textbf x}+\frac{\partial \varphi  \xyz}{\partial y}\hat{\textbf y}+\frac{\partial \varphi \xyz}{\partial z}\hat{\textbf z}.
\end{equation}

\begin{equation}\frac{\vardelta \varphi \xyz}{\vardelta x}\hat{\textbf x}+\frac{\vardelta \varphi  \xyz}{\vardelta y}\hat{\textbf y}+\frac{\vardelta \varphi \xyz}{\vardelta z}\hat{\textbf z}.\end{equation}

\begin{equation}
\int_{t_0}^{t_1} v\,dt
\end{equation}
\end{document}

Em particular, não gosto do símbolo \partial(eq. 1) ou \vardelta(eq. 2), mas com a fonte Times há exatamente o símbolo parcial que gosto (∂) (cód. Unicode 2202) (ver fórmula (eq. .1) e (eq.2)).

É possível mudar o símbolo \partialou \vardeltacom o símbolo ∂ (ou seja, com \DeclaremathOperatorou \DeclareMathSymbol) que é muito legal?

Depois, existe a possibilidade, também, pela mesma razão, de ter umasinal integral verticalpara todos os tipos de integrais sempre com mt2pro[lite]e Times(eq. 3) e adicionar o símbolo tensorial (um caractere especial em negrito)? Você pode ver a segunda imagem.

Espero ter sua ajuda. Atenciosamente.

Answer 1

Você pode usar as integrais verticais e o símbolo parcial de NewTX:

\documentclass[12pt,fleqn]{book} 
%----------------------------------------------------------------------------------------
\usepackage[T1]{fontenc} % Use 8-bit encoding that has 256 glyphs
\usepackage[utf8]{inputenc} % Required for including letters with accents
\usepackage[italian]{babel}
\usepackage{amsmath}

\usepackage{times} % Use the Times font for headings
\usepackage[lite]{mtpro2}
\usepackage{microtype} % Slightly tweak font spacing for aesthetics

\DeclareFontEncoding{LMX}{}{}
\DeclareFontSubstitution{LMX}{ntxexx}{m}{n}
\DeclareSymbolFont{largesymbolsTX}{LMX}{ntxexx}{m}{n}
\SetSymbolFont{largesymbolsTX}{bold}{LMX}{ntxexx}{b}{n}
\DeclareSymbolFont{largesymbolsTXA}{U}{ntxexa}{m}{n}
\SetSymbolFont{largesymbolsTXA}{bold}{U}{ntxexa}{b}{n}
\DeclareFontSubstitution{U}{ntxexa}{m}{n}

\DeclareMathSymbol{\intop}                {\mathop}{largesymbolsTX}{"B4}
\DeclareMathSymbol{\iintop}               {\mathop}{largesymbolsTX}{"B5}
\DeclareMathSymbol{\iiintop}              {\mathop}{largesymbolsTX}{"B6}
\DeclareMathSymbol{\ointop}               {\mathop}{largesymbolsTX}{"B7}
\DeclareMathSymbol{\oiintop}              {\mathop}{largesymbolsTX}{"B8}
\DeclareMathSymbol{\oiiintop}             {\mathop}{largesymbolsTXA}{"08}
\DeclareMathSymbol{\varointclockwiseop}   {\mathop}{largesymbolsTXA}{"0A}
\DeclareMathSymbol{\ointctrclockwiseop}   {\mathop}{largesymbolsTXA}{"0C}
\DeclareMathSymbol{\sumintop}             {\mathop}{largesymbolsTXA}{"0E}
\DeclareMathSymbol{\iiiintop}             {\mathop}{largesymbolsTXA}{"21}
\DeclareMathSymbol{\fintop}               {\mathop}{largesymbolsTXA}{"23}
\DeclareMathSymbol{\sqintop}              {\mathop}{largesymbolsTXA}{"25}

\DeclareFontFamily{U}{nxlmi}{}
\DeclareFontSubstitution{U}{nxlmi}{m}{it}
\DeclareFontShape{U}{nxlmi}{m}{it}{
  <-6.3>    nxlmi05
  <6.3-8.6> nxlmi07
  <8.6->    nxlmi0
}{}

\DeclareFontShape{U}{nxlmi}{b}{it}{
  <-6.3>    nxlbmi05
  <6.3-8.6> nxlbmi07
  <8.6->    nxlbmi0
}{}

\renewcommand{\partial}{{\text{\usefont{U}{nxlmi}{m}{it}\symbol{64}}\mspace{1mu}}}


\newcommand\xyz{(x,y,z)}

\begin{document}

\begin{equation}
\frac{\partial \varphi \xyz}{\partial x}\hat{\textbf{x}}+
\frac{\partial \varphi  \xyz}{\partial y}\hat{\textbf{y}}+
\frac{\partial \varphi \xyz}{\partial z}\hat{\textbf{z}}.
\end{equation}

\begin{equation}
\int_{t_0}^{t_1} v\,dt
\end{equation}

\end{document}

Answer 2

Você pode obter o \partial assim (suponho que você queira o normal das fontes cm). Não sei qual integral você quer. Mas se você adicionar um exemplo que mostre isso, será fácil adicioná-lo também.

\documentclass[12pt,fleqn]{book}

\DeclareSymbolFont{cmletters}     {OML}{cmm} {m}{it}
\DeclareMathSymbol{\partial}{\mathord}{cmletters}{"40}
%----------------------------------------------------------------------------------------
\usepackage[italian]{babel}
\usepackage{times} % Use the Times font for headings
\usepackage[lite]{mtpro2}%
\usepackage{microtype} % Slightly tweak font spacing for aesthetics
\usepackage[utf8]{inputenc} % Required for including letters with accents
\usepackage[T1]{fontenc} % Use 8-bit encoding that has 256 glyphs
\def\xyz{(x,y,z)}
\begin{document}


\begin{equation}
\frac{\partial \varphi \xyz}{\partial x}\hat{\textbf x}+\frac{\partial \varphi  \xyz}{\partial y}\hat{\textbf y}+\frac{\partial \varphi \xyz}{\partial z}\hat{\textbf z}.
\end{equation}

\begin{equation}\frac{\vardelta \varphi \xyz}{\vardelta x}\hat{\textbf x}+\frac{\vardelta \varphi  \xyz}{\vardelta y}\hat{\textbf y}+\frac{\vardelta \varphi \xyz}{\vardelta z}\hat{\textbf z}.\end{equation}

\begin{equation}
\int_{t_0}^{t_1} v\,dt
\end{equation}
\end{document}