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% $Header: /home/dashley/cvsrep/e3ft_gpl01/e3ft_gpl01/dtaipubs/esrgubka/volshare/workmdef.tex,v 1.4 2002/08/01 01:31:24 dtashley Exp $ |
% $Header$ |
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%%Sets of real numbers. |
%%Sets of real numbers. |
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\newcommand{\vworkrealset}{{\mathbb{R}}} |
\newcommand{\vworkrealset}{{\mathbb{R}}} |
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\newcommand{\vworkrealsetnonneg}{{\mathbb{R}^+}} |
\newcommand{\vworkrealsetnonneg}{{\mathbb{R}^+}} |
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% |
% |
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%%Sets of integers. |
%%Sets of integers. |
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\newcommand{\vworkintset}{{\mathbb{Z}}} |
\newcommand{\vworkintset}{{\mathbb{Z}}} |
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\newcommand{\vworkintsetnonneg}{{\mathbb{Z}^+}} |
\newcommand{\vworkintsetnonneg}{{\mathbb{Z}^+}} |
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\newcommand{\vworkintsetpos}{{\mathbb{N}}} |
\newcommand{\vworkintsetpos}{{\mathbb{N}}} |
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% |
% |
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%%Sets of rational numbers. |
%%Sets of rational numbers. |
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\newcommand{\vworkratset}{{\mathbb{Q}}} |
\newcommand{\vworkratset}{{\mathbb{Q}}} |
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\newcommand{\vworkratsetnonneg}{{\mathbb{Q}^+}} |
\newcommand{\vworkratsetnonneg}{{\mathbb{Q}^+}} |
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% |
% |
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%%Sets of irrational numbers. |
%%Sets of irrational numbers. |
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\newcommand{\vworkirratset}{{\mathbb{error}}} |
\newcommand{\vworkirratset}{{\mathbb{error}}} |
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\newcommand{\vworkirratsetnonneg}{{\mathbb{error}^+}} |
\newcommand{\vworkirratsetnonneg}{{\mathbb{error}^+}} |
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% |
% |
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%%"Divides" and "Not Divides". Am not able to find quite |
%%"Divides" and "Not Divides". Am not able to find quite |
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%%the right symbol for "Not Divides" at this time. |
%%the right symbol for "Not Divides" at this time. |
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\newcommand{\vworkdivides}{\mid} |
\newcommand{\vworkdivides}{\mid} |
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\newcommand{\vworknotdivides}{\hspace{-0.125em}\not\hspace{0.245em}\mid\hspace{0.135em}} |
\newcommand{\vworknotdivides}{\hspace{-0.125em}\not\hspace{0.245em}\mid\hspace{0.135em}} |
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%% |
%% |
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%%The implication operator, which may change throughout the work. Both a horizontal |
%%The implication operator, which may change throughout the work. Both a horizontal |
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%%and vertical form are defined. |
%%and vertical form are defined. |
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\newcommand{\vworkhimp}{\to} |
\newcommand{\vworkhimp}{\to} |
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\newcommand{\vworkvimp}{\downarrow} |
\newcommand{\vworkvimp}{\downarrow} |
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%% |
%% |
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%%The symbol for logical equivalence. There are three forms defined, the standard, |
%%The symbol for logical equivalence. There are three forms defined, the standard, |
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%%the long, and the short, which may be identical. |
%%the long, and the short, which may be identical. |
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\newcommand{\vworkequiv}{\leftrightarrow} |
\newcommand{\vworkequiv}{\leftrightarrow} |
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\newcommand{\vworkshortequiv}{\leftrightarrow} |
\newcommand{\vworkshortequiv}{\leftrightarrow} |
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\newcommand{\vworklongequiv}{\longleftrightarrow} |
\newcommand{\vworklongequiv}{\longleftrightarrow} |
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\newcommand{\vworkvertequiv}{\updownarrow} |
\newcommand{\vworkvertequiv}{\updownarrow} |
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% |
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% $Log: workmdef.tex,v $ |
% $Log: workmdef.tex,v $ |
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% Revision 1.4 2002/08/01 01:31:24 dtashley |
% Revision 1.4 2002/08/01 01:31:24 dtashley |
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% Safety checkin. Having difficulty completing an alternate version of |
% Safety checkin. Having difficulty completing an alternate version of |
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% Knuth's proof about the accuracy of quotient estimates based on first |
% Knuth's proof about the accuracy of quotient estimates based on first |
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% digits of dividend and divisor. |
% digits of dividend and divisor. |
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% Revision 1.3 2002/07/29 16:30:09 dtashley |
% Revision 1.3 2002/07/29 16:30:09 dtashley |
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% Safety checkin before moving work back to WSU server Kalman. |
% Safety checkin before moving work back to WSU server Kalman. |
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% Revision 1.2 2001/07/12 02:01:46 dtashley |
% Revision 1.2 2001/07/12 02:01:46 dtashley |
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% Conversion out of binary mode for use with CVS. |
% Conversion out of binary mode for use with CVS. |
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% $History: workmdef.tex $ |
% $History: workmdef.tex $ |
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% ***************** Version 4 ***************** |
% ***************** Version 4 ***************** |
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% User: Dashley1 Date: 1/31/01 Time: 4:20p |
% User: Dashley1 Date: 1/31/01 Time: 4:20p |
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% Updated in $/uC Software Multi-Volume Book (A)/Shared, Volume Sections, Styles, And Graphics |
% Updated in $/uC Software Multi-Volume Book (A)/Shared, Volume Sections, Styles, And Graphics |
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% Edits. |
% Edits. |
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% ***************** Version 3 ***************** |
% ***************** Version 3 ***************** |
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% User: Dashley1 Date: 8/08/00 Time: 10:53a |
% User: Dashley1 Date: 8/08/00 Time: 10:53a |
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% Updated in $/uC Software Multi-Volume Book (A)/Shared, Volume Sections, Styles, And Graphics |
% Updated in $/uC Software Multi-Volume Book (A)/Shared, Volume Sections, Styles, And Graphics |
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% Correction of DIVIDES and NOT DIVIDES symbols. |
% Correction of DIVIDES and NOT DIVIDES symbols. |
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% ***************** Version 2 ***************** |
% ***************** Version 2 ***************** |
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% User: David T. Ashley Date: 8/06/00 Time: 8:52a |
% User: David T. Ashley Date: 8/06/00 Time: 8:52a |
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% Updated in $/uC Software Multi-Volume Book (A)/Shared, Volume Sections, Styles, And Graphics |
% Updated in $/uC Software Multi-Volume Book (A)/Shared, Volume Sections, Styles, And Graphics |
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% Work on Prime Number and Farey Series chapters. |
% Work on Prime Number and Farey Series chapters. |
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% |
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% ***************** Version 1 ***************** |
% ***************** Version 1 ***************** |
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% User: Dashley1 Date: 6/15/00 Time: 7:00p |
% User: Dashley1 Date: 6/15/00 Time: 7:00p |
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% Created in $/uC Software Multi-Volume Book (A)/Shared, Volume Sections, Styles, And Graphics |
% Created in $/uC Software Multi-Volume Book (A)/Shared, Volume Sections, Styles, And Graphics |
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% Initial check-in. |
% Initial check-in. |
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% End of WORKMDEF.TEX |
% End of WORKMDEF.TEX |
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