Python oneliner to differentiate polynomial list - Revision history

Mol: /* Theory */

2021-08-05T09:14:08Z

Theory

← Older revision		Revision as of 12:14, 5 August 2021
Line 5:		Line 5:
	== Theory ==		== Theory ==

	Let the polynomial be described in ascending order, thus <math>P(x) = 2 + 3x + 5x^2 + x^3</math> is written as a list <syntaxhighlight lang="Python" enclose="none">[2, 3, 5, 1]</syntaxhighlight >. The derivative is <math>P'(x) = 3 + 10 x + 3x^2</math> equals a list <syntaxhighlight lang="Python" enclose="none"> [3, 10, 3]</syntaxhighlight>		Let the polynomial be described in ascending order, thus <math>P(x) = 2 + 3x + 5x^2 + x^3</math> is written as a list <syntaxhighlight lang="Python" enclose="none">[2, 3, 5, 1]</syntaxhighlight >. The derivative <math>P'(x) = 3 + 10 x + 3x^2</math> equals a list <syntaxhighlight lang="Python" enclose="none"> [3, 10, 3]</syntaxhighlight>

	<syntaxhighlight lang="Python">		<syntaxhighlight lang="Python">

Mol: /* Theory */

2021-08-05T08:44:16Z

Theory

← Older revision		Revision as of 11:44, 5 August 2021
Line 5:		Line 5:
	== Theory ==		== Theory ==

	Let the polynomial be described in ascending order, thus <math>P(x) = 2 + 3x + 5x^2 + x^3</math> is written as a list <syntaxhighlight >[2, 3, 5, 1]</syntaxhighlight >. The derivative is <math>P'(x) = 3 + 10 x + 3x^2</math> equals a list <~~pre~~> [3, 10, 3]</~~pre~~>		Let the polynomial be described in ascending order, thus <math>P(x) = 2 + 3x + 5x^2 + x^3</math> is written as a list <syntaxhighlight lang="Python" enclose="none">[2, 3, 5, 1]</syntaxhighlight >. The derivative is <math>P'(x) = 3 + 10 x + 3x^2</math> equals a list <syntaxhighlight lang="Python" enclose="none"> [3, 10, 3]</syntaxhighlight>

	<syntaxhighlight lang="Python">		<syntaxhighlight lang="Python">

Mol: /* Theory */

2021-08-05T08:42:16Z

Theory

← Older revision		Revision as of 11:42, 5 August 2021
Line 5:		Line 5:
	== Theory ==		== Theory ==

	Let the polynomial be described in ascending order, thus <math>P(x) = 2 + 3x + 5x^2 + x^3</math> is written as a list <~~pre~~>[2, 3, 5, 1]</~~pre~~>. The derivative is <math>P'(x) = 3 + 10 x + 3x^2</math> equals a list <pre> [3, 10, 3</pre>		Let the polynomial be described in ascending order, thus <math>P(x) = 2 + 3x + 5x^2 + x^3</math> is written as a list <syntaxhighlight >[2, 3, 5, 1]</syntaxhighlight >. The derivative is <math>P'(x) = 3 + 10 x + 3x^2</math> equals a list <pre> [3, 10, 3]</pre>

	<syntaxhighlight lang="Python">		<syntaxhighlight lang="Python">

Mol: /* Theory */

2021-08-05T08:41:33Z

Theory

← Older revision		Revision as of 11:41, 5 August 2021
Line 5:		Line 5:
	== Theory ==		== Theory ==

	#D(~~poly~~) = 20 + ~~31~~ + 52 + 13		Let the polynomial be described in ascending order, thus <math>P(x) = 2 + 3x + 5x^2 + x^3</math> is written as a list <pre>[2, 3, 5, 1]</pre>. The derivative is <math>P'(x) = 3 + 10 x + 3x^2</math> equals a list <pre> [3, 10, 3</pre>
	~~#Dpoly =~~ [3, 10, 3]


	<syntaxhighlight lang="Python">		<syntaxhighlight lang="Python">
	poly = [2, 3, 5, 1] # Degrees starting from zero		poly = [2, 3, 5, 1] # Degrees starting from zero

	print( [(i+1)*j for i,j in enumerate( poly[1:] )] )		print( [(i+1)*j for i,j in enumerate( poly[1:] )] )
	</syntaxhighlight>		</syntaxhighlight>

Mol: /* Theory */

2021-08-05T08:39:25Z

Theory

← Older revision		Revision as of 11:39, 5 August 2021
Line 13:		Line 13:

	print( [(i+1)*j for i,j in enumerate( poly[1:] )] )		print( [(i+1)*j for i,j in enumerate( poly[1:] )] )
	<syntaxhighlight>		</syntaxhighlight>

Mol: Created page with "== Introduction == Oneliners are powerful and often beautiful solutions to programming challenges (see [https://www.ee.columbia.edu/~marios/matlab/Matlab%20array%20manipulati..."

2021-08-05T08:39:10Z

Created page with "== Introduction == Oneliners are powerful and often beautiful solutions to programming challenges (see [https://www.ee.columbia.edu/~marios/matlab/Matlab%20array%20manipulati..."

New page

== Introduction ==

Oneliners are powerful and often beautiful solutions to programming challenges (see [https://www.ee.columbia.edu/~marios/matlab/Matlab%20array%20manipulation%20tips%20and%20tricks.pdf Acklamization]).

== Theory ==

#D(poly) = 2*0 + 3*1 + 5*2 + 1*3
#Dpoly = [3, 10, 3]

<syntaxhighlight lang="Python">
poly = [2, 3, 5, 1] # Degrees starting from zero

print( [(i+1)*j for i,j in enumerate( poly[1:] )] )
<syntaxhighlight>