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WarpPI/Algebra Cheat Sheet.rtf

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A lot of performance improvements
2017-09-15 23:24:12 +02:00
{\rtf1\ansi\ansicpg1252\deff0\nouicompat\deflang1040{\fonttbl{\f0\fnil\fcharset0 Cambria;}{\f1\fnil\fcharset0 Calibri;}{\f2\fnil\fcharset0 Consolas;}{\f3\fnil\fcharset1 Cambria Math;}{\f4\fnil\fcharset161 Consolas;}{\f5\fnil\fcharset1 Unifont;}{\f6\fnil\fcharset0 Unifont;}{\f7\fnil Unifont;}{\f8\fnil\fcharset161 Unifont;}}
A lot of new Rules and important bugfixes.
2016-11-25 22:40:43 +01:00
{\colortbl ;\red165\green165\blue165;}
Updated algebra rules
2017-12-20 18:07:11 +01:00
{\*\generator Riched20 10.0.16299}{\*\mmathPr\mmathFont3\mwrapIndent1440 }\viewkind4\uc1
A lot of new Rules and important bugfixes.
2016-11-25 22:40:43 +01:00
\pard\sl276\slmult1\b\f0\fs96\lang16 Rules\fs40\par
Number Rules\b0\f1\fs22\par
\pard
{\pntext\f2 1.\tab}{\*\pn\pnlvlbody\pnf2\pnindent0\pnstart1\pndec{\pntxta.}}
\fi-360\li720\sl276\slmult1\f2 a*0=0\par
{\pntext\f2 2.\tab}1*a=a\par
{\pntext\f2 3.\tab}a-a=0\line -a+a=0\line a\'b1a=\{0, 2a\}\par
{\pntext\f2 4.\tab}a\'b1b=\{a+b, a-b\}\par
{\pntext\f2 5.\tab}a+0=a\line 0+a=a\line a-0=a\line 0-a=a\line a\'b10=a\line 0\'b1a=a\par
Async math computing
2017-11-19 12:55:48 +01:00
{\pntext\f2 6.\tab}\{REMOVED\}\par
Bugfixes
2016-12-03 16:37:22 +01:00
{\pntext\f2 7.\tab}a+a=2a\par
A lot of new Rules and important bugfixes.
2016-11-25 22:40:43 +01:00
\pard\sl276\slmult1\par
\b\f0\fs40 Variable Rules\par
\pard
{\pntext\f2 1.\tab}{\*\pn\pnlvlbody\pnf2\pnindent0\pnstart1\pndec{\pntxta.}}
Updated algebra rules
2017-12-20 18:07:11 +01:00
\fi-360\li720\sl276\slmult1\b0\f2\fs24\lang1040 ax+bx=(a+b)*x (a,b NUMBER; x VARIABLES)\line xa+xb=(a+b)*x (a,b NUMBER; x VARIABLES)\par
A lot of new Rules and important bugfixes.
2016-11-25 22:40:43 +01:00
{\pntext\f2 2.\tab}ax+x=(a+1)*x (a,b NUMBER; x VARIABLES)\par
{\pntext\f2 3.\tab}x+ax=(a+1)*x (a,b NUMBER; x VARIABLES)\par
\pard\sl276\slmult1\b\f0\fs40\lang16\par
Expand Rules\par
\pard
{\pntext\f2 1.\tab}{\*\pn\pnlvlbody\pnf2\pnindent0\pnstart1\pndec{\pntxta.}}
\fi-360\li720\sl276\slmult1\b0\f2\fs22 -(a+b)=-a-b\line -(a-b)=-a+b\par
Updated algebra rules
2017-12-20 18:07:11 +01:00
{\pntext\f2 2.\tab}a(b+c)=ab+ac\par
A lot of new Rules and important bugfixes.
2016-11-25 22:40:43 +01:00
{\pntext\f2 3.\tab}\par
{\pntext\f2 4.\tab}\par
{\pntext\f2 5.\tab}-(-a)=a\par
\pard\sl276\slmult1\b\f0\fs40\par
Syntax Rules\par
\pard
{\pntext\f2 1.\tab}{\*\pn\pnlvlbody\pnf2\pnindent0\pnstart1\pndec{\pntxta.}}
Async math computing
2017-11-19 12:55:48 +01:00
\fi-360\li720\sl276\slmult1\b0\f2\fs22\{DELETED, MANAGED WHEN PARSING THE INPUT\}\cf1 (\cf0 a*b\cf1 )\cf0 *c=a*\cf1 (\cf0 b*c\cf1 )\cf0\par
{\pntext\f2 2.\tab}\{DELETED, MANAGED WHEN PARSING THE INPUT\} a+\cf1 (\cf0 b+c\cf1 )\cf0 =\cf1 (\cf0 a+b\cf1 )\cf0 +c\par
A lot of new Rules and important bugfixes.
2016-11-25 22:40:43 +01:00
\pard\sl276\slmult1\b\f0\fs40\par
Fractions Rules\par
\pard
{\pntext\f2 1.\tab}{\*\pn\pnlvlbody\pnf2\pnindent0\pnstart1\pndec{\pntxta.}}
\fi-360\li720\sl276\slmult1\b0\f2\fs22 0/a=0\par
{\pntext\f2 2.\tab}a/1=a\par
{\pntext\f2 3.\tab}a/a=1\par
{\pntext\f2 4.\tab}(a/b)\super -1\nosupersub =b/a\par
{\pntext\f2 5.\tab}(a/b)\super -c\nosupersub =(b/a)\super c\nosupersub\par
{\pntext\f2 6.\tab}\par
Update
2017-02-04 15:57:37 +01:00
{\pntext\f2 7.\tab}\par
{\pntext\f2 8.\tab}\par
{\pntext\f2 9.\tab}\par
{\pntext\f2 10.\tab}\par
{\pntext\f2 11.\tab}a / (b / c) = (a * c) / b\par
{\pntext\f2 12.\tab}(b / c) / a = b / (c * a)\par
{\pntext\f2 13.\tab}\par
{\pntext\f2 14.\tab}(a/b)*(c/d)=(a*c)/(b*d)\par
A lot of new Rules and important bugfixes.
2016-11-25 22:40:43 +01:00
\pard\sl276\slmult1\b\f0\fs40\par
Absolute Rules\par
\b0\f2\fs22 empty\par
\b\f0\fs40\par
Exponent Rules\par
\pard
{\pntext\f2 1.\tab}{\*\pn\pnlvlbody\pnf2\pnindent0\pnstart1\pndec{\pntxta.}}
\fi-360\li720\sl276\slmult1\b0\f2\fs22 1\super a\nosupersub =1\par
{\pntext\f2 2.\tab}a\super 1\nosupersub =a\par
{\pntext\f2 3.\tab}a\super 0\nosupersub =1\par
{\pntext\f2 4.\tab}(a*b)\super n\nosupersub =(a)\super n\nosupersub *(b)\super n\nosupersub\par
{\pntext\f2 5.\tab}\par
{\pntext\f2 6.\tab}\par
{\pntext\f2 7.\tab}\par
Added a new exponent rule
2017-02-10 18:12:17 +01:00
{\pntext\f2 8.\tab}a\super b+c\nosupersub =a\super b\nosupersub a\super c \cf1\ul\nosupersub only when b+c cannot be simplified\cf0\ulnone\par
{\pntext\f2 9.\tab}(a\super b\nosupersub )\super c\nosupersub =a\super b*c\nosupersub\par
A lot of new Rules and important bugfixes.
2016-11-25 22:40:43 +01:00
{\pntext\f2 10.\tab}\par
{\pntext\f2 11.\tab}\par
{\pntext\f2 12.\tab}\par
{\pntext\f2 13.\tab}\par
{\pntext\f2 14.\tab}\par
{\pntext\f2 15.\tab}a*a=(a)\super 2\nosupersub\par
Added a new exponent rule
2017-02-10 18:12:17 +01:00
{\pntext\f2 16.\tab}a\super b\nosupersub *a\super c\nosupersub =a\super b+c\nosupersub\par
{\pntext\f2 17.\tab}\super a\nosupersub\f3\fs29\u8730?\f2\fs22\lang16 x=x\super 1/a\nosupersub\par
{\pntext\f2 18.\tab}\super a\nosupersub\f3\fs29\u8730?\f2\fs22\lang16 b+c\super d\nosupersub =b\super 1/a\nosupersub +c\super d\nosupersub\line a\super b\nosupersub +\super c\nosupersub\f3\fs29\u8730?\f2\fs22\lang16 d=a\super b\nosupersub +c\super 1/d\nosupersub\par
{\pntext\f2 19.\tab}\super a\nosupersub\f3\fs29\u8730?\f2\fs22\lang16 b-c\super d\nosupersub =b\super 1/a\nosupersub -c\super d\nosupersub\line a\super b\nosupersub -\super c\nosupersub\f3\fs29\u8730?\f2\fs22\lang16 d=a\super b\nosupersub -c\super 1/d\nosupersub\par
{\pntext\f2 20.\tab}\super a\nosupersub\f3\fs29\u8730?\f2\fs22\lang16 b*c\super d\nosupersub =b\super 1/a\nosupersub *c\super d\nosupersub\line a\super b\nosupersub *\super c\nosupersub\f3\fs29\u8730?\f2\fs22\lang16 d=a\super b\nosupersub *c\super 1/d\nosupersub\par
{\pntext\f2 21.\tab}\super a\nosupersub\f3\fs29\u8730?\f2\fs22\lang16 b/c\super d\nosupersub =b\super 1/a\nosupersub /c\super d\nosupersub\line a\super b\nosupersub /\super c\nosupersub\f3\fs29\u8730?\f2\fs22\lang16 d=a\super b\nosupersub /c\super 1/d\nosupersub\line\par
A lot of new Rules and important bugfixes.
2016-11-25 22:40:43 +01:00
\pard\sl276\slmult1\b\f0\fs40\par
Factor Rules\par
\b0\f2\fs22 empty\par
\b\f0\fs40\par
Factorial Rules\par
\b0\f2\fs22 empty\par
\b\f0\fs40\par
Log Rules\par
\b0\f2\fs22 empty\par
\b\f0\fs40\par
Undefined\par
\pard
{\pntext\f2 1.\tab}{\*\pn\pnlvlbody\pnf2\pnindent0\pnstart1\pndec{\pntxta.}}
\fi-360\li720\sl276\slmult1\b0\f2\fs22 0\super 0\nosupersub =undefined\par
{\pntext\f2 2.\tab}a/0=undefined\par
\pard\sl276\slmult1\b\f0\fs40\par
Complex Number Rules\par
A lot of performance improvements
2017-09-15 23:24:12 +02:00
\pard
{\pntext\f2 1.\tab}{\*\pn\pnlvlbody\pnf2\pnindent0\pnstart1\pndec{\pntxta.}}
\fi-360\li720\sl276\slmult1\b0\f2\fs22 e\super i\f4\lang1032\'c8\nosupersub\f2\lang16 =cos(\f4\lang1032\'c8\f2\lang16 )*i*sin(\f4\lang1032\'c8\f2\lang16 )\par
\pard\sl276\slmult1\par
A lot of new Rules and important bugfixes.
2016-11-25 22:40:43 +01:00
\par
\b\f0\fs96 Methods\fs40\par
Sum Method 1\b0\f1\fs22\par
Bugfixes
2016-12-03 16:37:22 +01:00
\f2 3+3X+1 = 3X+4\par
Added timeout and Multiplication Method 1
2016-12-05 22:57:11 +01:00
\b\f0\fs40 Multiplication Method 1\b0\f1\fs22\par
\f2 X*3*X*2 = 6*X\super 2\nosupersub\par
Bugfixes
2016-12-03 16:37:22 +01:00
\par
\b\f0\fs96 Characters\b0\par
A lot of performance improvements
2017-09-15 23:24:12 +02:00
\pard\f5\fs29\lang1040\u9398?\f6\tab SQUARE ROOT\par
\f3\u8730?\f6\lang1040\tab ROOT\f7\par
\f5\u9399?\f6\tab POWER\par
Bugfixes
2016-12-03 16:37:22 +01:00
^\tab POWER\f2\fs22\lang16\par
A lot of performance improvements
2017-09-15 23:24:12 +02:00
\pard\sl276\slmult1\f5\fs29\lang1040\u9400?\f6\tab SIN\f7\par
\f5\u9401?\f6\tab COS\f7\par
\f5\u9402?\f6\tab TAN\f7\par
\f5\u9403?\f6\tab ARC SIN\f7\par
\f5\u9404?\f6\tab ARC COS\par
\f5\u9405?\f6\tab ARC TAN\par
\f8\lang1032\'f0\f6\lang1040\tab PI\b\f0\fs40\lang16\par
A lot of new Rules and important bugfixes.
2016-11-25 22:40:43 +01:00
}
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