Jayaram: /* EXAMPLES */

2021-09-14T19:10:36Z

EXAMPLES

Swapna at 11:34, 12 March 2020

2020-03-12T11:34:39Z

Jayaram: /* Video */

2020-03-06T10:26:35Z

Video

Jayaram: Created page with "==How to Apply Symbolic Math in ZCubes==
ZCubes solves symbolic expressions and equations in a simple and easy manner. The EXPAND function takes the algebraic expression..."

2020-03-06T09:57:31Z

Created page with "==How to Apply Symbolic Math in ZCubes== ZCubes solves symbolic expressions and equations in a simple and easy manner. The EXPAND function takes the algebraic expression..."

New page

==How to Apply Symbolic Math in ZCubes==
 
ZCubes solves symbolic expressions and equations in a simple and easy manner. The EXPAND function takes the algebraic expression as a parameter. You can use a single line command to convert it to a function and run it for a series of values.

==Video==
 
{{#ev:youtube|8kH8DaZTAGk|480|center|Symbolic Math in ZCubes}}
 

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

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

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	{{#ev:youtube\|8kH8DaZTAGk\|480\|left\|Symbolic Math in ZCubes}}		{{#ev:youtube\|8kH8DaZTAGk\|480\|left\|Symbolic Math in ZCubes}}
	<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/>
		+	Expansion of algebraic experssions such as (a+b)^2, (a+b)^3 etc can be calculated using a pre-defined function 'EXPAND' in ZCubes.
		+
		+	E.g 1] To calculate (a+b)^2
		+
		+
		+	'''EXPAND("(a+b)^2")'''
		+
		+
		+	displays the result as 2ab+a^2+b^2
		+
		+
		+	E.g 2] To calculate (a+b)^4
		+
		+
		+	'''EXPAND("(a+b)^4")'''
		+
		+
		+	displays the result as '''4∗a∗b^3+a^4+b^4+6a^2b^2+4a^3b'''
		+
		+
		+
		+	E.g 3] The expansion of algebraic expressions such as (a+b),(a+b)^2,(a+b)^3 and so on till (a+b)^24 can be executed in ZCubes using EXPAND command as -
		+
		+
		+	'''(1..24)@(x=>EXPAND("(a+b)^"+x))'''
		+
		+
		+	displays the result as -
		+
		+	</br>Symbol C
		+	</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
		+	</br>11 11ab^10+a^11+b^11+55a^2b^9+165a^3b^8+330a^4b^7+462a^5b^6+462a^6b^5+330a^7b^4+165a^8b^3+55a^9b^2+11a^10b
		+	</br>12 12ab^11+a^12+b^12+66a^2b^10+220a^3b^9+495a^4b^8+792a^5b^7+924a^6b^6+792a^7b^5+495a^8b^4+220a^9b^3+66a^10b^2+12a^11b
		+	</br>13 13ab^12+a^13+b^13+78a^2b^11+286a^3b^10+715a^4b^9+1287a^5b^8+1716a^6b^7+1716a^7b^6+1287a^8b^5+715a^9b^4+286a^10b^3+78a^11b^2+13a^12b
		+	</br>14 14ab^13+a^14+b^14+91a^2b^12+364a^3b^11+1001a^4b^10+2002a^5b^9+3003a^6b^8+3432a^7b^7+3003a^8b^6+2002a^9b^5+1001a^10b^4+364a^11b^3+91a^12b^2+14a^13b
		+	</br>15 15ab^14+a^15+b^15+105a^2b^13+455a^3b^12+1365a^4b^11+3003a^5b^10+5005a^6b^9+6435a^7b^8+6435a^8b^7+5005a^9b^6+3003a^10b^5+1365a^11b^4+455a^12b^3+105a^13b^2+15a^14b
		+	</br>16 16ab^15+a^16+b^16+120a^2b^14+560a^3b^13+1820a^4b^12+4368a^5b^11+8008a^6b^10+11440a^7b^9+12870a^8b^8+11440a^9b^7+8008a^10b^6+4368a^11b^5+1820a^12b^4+560a^13b^3+120a^14b^2+16a^15b
		+	</br>17 17ab^16+a^17+b^17+136a^2b^15+680a^3b^14+2380a^4b^13+6188a^5b^12+12376a^6b^11+19448a^7b^10+24310a^8b^9+24310a^9b^8+19448a^10b^7+12376a^11b^6+6188a^12b^5+2380a^13b^4+680a^14b^3+136a^15b^2+17a^16b
		+	</br>18 18ab^17+a^18+b^18+153a^2b^16+816a^3b^15+3060a^4b^14+8568a^5b^13+18564a^6b^12+31824a^7b^11+43758a^8b^10+48620a^9b^9+43758a^10b^8+31824a^11b^7+18564a^12b^6+8568a^13b^5+3060a^14b^4+816a^15b^3+153a^16b^2+18a^17b
		+	</br>19 19ab^18+a^19+b^19+171a^2b^17+969a^3b^16+3876a^4b^15+11628a^5b^14+27132a^6b^13+50388a^7b^12+75582a^8b^11+92378a^9b^10+92378a^10b^9+75582a^11b^8+50388a^12b^7+27132a^13b^6+11628a^14b^5+3876a^15b^4+969a^16b^3+171a^17b^2+19a^18b
		+	</br>20 20ab^19+a^20+b^20+190a^2b^18+1140a^3b^17+4845a^4b^16+15504a^5b^15+38760a^6b^14+77520a^7b^13+125970a^8b^12+167960a^9b^11+184756a^10b^10+167960a^11b^9+125970a^12b^8+77520a^13b^7+38760a^14b^6+15504a^15b^5+4845a^16b^4+1140a^17b^3+190a^18b^2+20a^19b
		+	</br>21 21ab^20+a^21+b^21+210a^2b^19+1330a^3b^18+5985a^4b^17+20349a^5b^16+54264a^6b^15+116280a^7b^14+203490a^8b^13+293930a^9b^12+352716a^10b^11+352716a^11b^10+293930a^12b^9+203490a^13b^8+116280a^14b^7+54264a^15b^6+20349a^16b^5+5985a^17b^4+1330a^18b^3+210a^19b^2+21a^20b
		+	</br>22 22ab^21+a^22+b^22+231a^2b^20+1540a^3b^19+7315a^4b^18+26334a^5b^17+74613a^6b^16+170544a^7b^15+319770a^8b^14+497420a^9b^13+646646a^10b^12+705432a^11b^11+646646a^12b^10+497420a^13b^9+319770a^14b^8+170544a^15b^7+74613a^16b^6+26334a^17b^5+7315a^18b^4+1540a^19b^3+231a^20b^2+22a^21b
		+	</br>23 23ab^22+a^23+b^23+253a^2b^21+1771a^3b^20+8855a^4b^19+33649a^5b^18+100947a^6b^17+245157a^7b^16+490314a^8b^15+817190a^9b^14+1144066a^10b^13+1352078a^11b^12+1352078a^12b^11+1144066a^13b^10+817190a^14b^9+490314a^15b^8+245157a^16b^7+100947a^17b^6+33649a^18b^5+8855a^19b^4+1771a^20b^3+253a^21b^2+23a^22b
		+	</br>24 24ab^23+a^24+b^24+276a^2b^22+2024a^3b^21+10626a^4b^20+42504a^5b^19+134596a^6b^18+346104a^7b^17+735471a^8b^16+1307504a^9b^15+1961256a^10b^14+2496144a^11b^13+2704156a^12b^12+2496144a^13b^11+1961256a^14b^10+1307504a^15b^9+735471a^16b^8+346104a^17b^7+134596a^18b^6+42504a^19b^5+10626a^20b^4+2024a^21b^3+276a^22b^2+24a^23b

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 ==Video==
 <br/>
-{{#ev:youtube|8kH8DaZTAGk|480|center|Symbolic Math in ZCubes}}
+{{#ev:youtube|8kH8DaZTAGk|480|left|Symbolic Math in ZCubes}}
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ZCubes/How to Apply Symbolic Math in ZCubes - Revision history

Jayaram: /* EXAMPLES */

Swapna at 11:34, 12 March 2020

Jayaram: /* Video */

Jayaram: Created page with "==How to Apply Symbolic Math in ZCubes== ZCubes solves symbolic expressions and equations in a simple and easy manner. The EXPAND function takes the algebraic expression..."

Jayaram: Created page with "==How to Apply Symbolic Math in ZCubes==
ZCubes solves symbolic expressions and equations in a simple and easy manner. The EXPAND function takes the algebraic expression..."