ZCubes/How to Apply Evaluate Algebraic Functions - Revision history

Jayaram: /* EXAMPLES */

2021-09-14T19:08:07Z

EXAMPLES

Swapna: /* EXAMPLES */

2020-03-12T11:14:43Z

EXAMPLES

Swapna at 11:13, 12 March 2020

2020-03-12T11:13:07Z

Jayaram: /* Video */

2020-03-06T10:23:59Z

Video

Jayaram: Created page with "==How to Evaluate Algebraic Functions==
In ZCubes you can evaluate Algebraic expressions by calling the ALGEBRA function and passing the expression as a parameter. Thes..."

2020-03-06T09:46:36Z

Created page with "==How to Evaluate Algebraic Functions== In ZCubes you can evaluate Algebraic expressions by calling the ALGEBRA function and passing the expression as a parameter. Thes..."

New page

==How to Evaluate Algebraic Functions==
 
In ZCubes you can evaluate Algebraic expressions by calling the ALGEBRA function and passing the expression as a parameter. These can be then converted to functions and executed for set of parameter values.

==Video==
 
{{#ev:youtube|CFgANZ13XYU|480|center|Evaluate Algebraic Functions}}
 

<<[[Learn_ZCubes | Learn ZCubes ]]
 
© Copyright 1996-2020, ZCubes, Inc.

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-<<[[Learn_ZCubes | Learn ZCubes ]]
+<br/>
 <br/>
 &copy; Copyright 1996-2020, ZCubes, Inc.

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-E.g 3] The expansion of algebraic expressions such as (a+b),(a+b)^2,(a+b)^3 and so on till (a+b)^10 can be executed in ZCubes using EXPAND command as -
+E.g 4] The expansion of algebraic expressions such as (a+b),(a+b)^2,(a+b)^3 and so on till (a+b)^10 can be executed in ZCubes using EXPAND command as -
 '''(1..10)@(x=>EXPAND("(a+b)^"+x))'''
 displays the result as -

← Older revision		Revision as of 11:13, 12 March 2020
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	{{#ev:youtube\|CFgANZ13XYU\|480\|left\|Evaluate Algebraic Functions}}		{{#ev:youtube\|CFgANZ13XYU\|480\|left\|Evaluate Algebraic Functions}}
	<br/><br/><br/><br/><br/><br/><br/><br/><br/><br/><br/><br/><br/>		<br/><br/><br/><br/><br/><br/><br/><br/><br/><br/><br/><br/><br/>
		+
		+
		+	==EXAMPLES==
		+	<br/>
		+	Algebraic experssions such as (a+b)^2, (a+b)*(a-b), (a+b)^3 etc can be calculated using a pre-defined function 'ALGEBRA' in ZCubes.
		+
		+	E.g 1] To calculate (a+b)^2
		+
		+
		+	'''ALGEBRA("(a+b)^2")'''
		+
		+
		+	displays the result as <math>2ab+a^2+b^2</math>
		+
		+
		+	E.g 2] To calculate (a+b)*(a-b)
		+
		+
		+	'''ALGEBRA("(a+b)*(a-b)")'''
		+
		+
		+	displays the result as <math>a^2-b^2</math>
		+
		+
		+	E.g 3] To calculate the array of values such as 3^2, 3^3, 3^4 etc., the ZCubes function 'FUNCT' can be used as:
		+
		+	'''FunctionArray= FUNCT("[x^2,x^3,x^4]");'''
		+
		+	'''FunctionArray(3)'''
		+
		+
		+	displays the result as ''9'' ''27'' ''81''
		+
		+
		+	E.g 3] The expansion of algebraic expressions such as (a+b),(a+b)^2,(a+b)^3 and so on till (a+b)^10 can be executed in ZCubes using EXPAND command as -
		+
		+	'''(1..10)@(x=>EXPAND("(a+b)^"+x))'''
		+
		+	displays the result as -
		+
		+	</br>1 a+b
		+	</br>2 2ab+a^2+b^2
		+	</br>3 3ab^2+a^3+b^3+3a^2b
		+	</br>4 4ab^3+a^4+b^4+6a^2b^2+4a^3b
		+	</br>5 5ab^4+a^5+b^5+10a^2b^3+10a^3b^2+5a^4b
		+	</br>6 6ab^5+a^6+b^6+15a^2b^4+20a^3b^3+15a^4b^2+6a^5b
		+	</br>7 7ab^6+a^7+b^7+21a^2b^5+35a^3b^4+35a^4b^3+21a^5b^2+7a^6b
		+	</br>8 8ab^7+a^8+b^8+28a^2b^6+56a^3b^5+70a^4b^4+56a^5b^3+28a^6b^2+8a^7b
		+	</br>9 9ab^8+a^9+b^9+36a^2b^7+84a^3b^6+126a^4b^5+126a^5b^4+84a^6b^3+36a^7b^2+9a^8b
		+	</br>10 10ab^9+a^10+b^10+45a^2b^8+120a^3b^7+210a^4b^6+252a^5b^5+210a^6b^4+120a^7b^3+45a^8b^2+10a^9b