Rho - Revision history

Paul Robinson: t/c

2019-10-13T23:00:04Z

t/c

← Older revision		Revision as of 19:00, 13 October 2019
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	<p>The idea for the latter enhancement was taken from Dyalog APL.</p>		<p>The idea for the latter enhancement was taken from Dyalog APL.</p>

	{{article footer}}		{{article footer\|8\|Rho}}
	[[Category:Monadic ~~Operators~~]]		[[Category:Monadic operators]]
	[[Category:Dyadic ~~Operators]]~~		[[Category:Dyadic operators]]

	~~==See Also==~~

	~~{{Language Toolbar}}~~
	~~[[Category:Mouse Group 8\|R]]~~
	~~[[Category:Symbols\|R~~]]

Sudleyplace at 23:11, 15 April 2018

2018-04-15T23:11:28Z

← Older revision		Revision as of 19:11, 15 April 2018
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	==Shape - Monadic {rho}==		==Shape - Monadic {rho}==
	<big>Symbol '''{rho}''' when used '''monadically''' (no left argument) returns the '''shape of {rho}'s right argument''', i.e. the size or dimensions of a scalar, string, vector, array or matrix. Shape returns null for a scalar or a single character, it returns 0 for a null string, the length of a string of at least two characters, the number of elements of an array or vector, and the number of elements of a matrix.</big>		<big>Symbol '''{rho}''' when used '''monadically''' (no left argument) returns the '''shape of {rho}'s right argument''', i.e. the size or dimensions of a scalar, string, vector, array or matrix. Shape returns null for a scalar or a single character, it returns 0 for a null string, the length of a string of at least two characters, the number of elements of an array or vector, and the number of elements of a matrix.</big>
	<pre>		<apll><pre>
	⍴ 1 2 3 4 5 6 ⍝ Rho in the case of vectors represents a Count(# elements) function		⍴ 1 2 3 4 5 6 ⍝ Rho in the case of vectors represents a Count(# elements) function
	6		6
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	7		7
	⍴ 1 ⍝ For a scalar right argument, Rho generates a null vector.		⍴ 1 ⍝ For a scalar right argument, Rho generates a null vector.


	⍴⍴ 1 ⍝ The shape of the shape(⍴⍴) of a scalar (because the shape of a scalar is a null) - generates zero.		⍴⍴ 1 ⍝ The shape of the shape(⍴⍴) of a scalar (because the shape of a scalar is a null) - generates zero.
	0		0

	⍴ 'a' ⍝ Ditto for {numbers, integers, letters}, etc. - for scalar right arguments: Rho also generates a null vector.		⍴ 'a' ⍝ Ditto for {numbers, integers, letters}, etc. - for scalar right arguments: Rho also generates a null vector.


	⍴⍴ 'a'		⍴⍴ 'a'
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	⍴⍴(⍳6) ⍝ Monadic leftmost {rho}{rho} generates the RANK of the vector = 1 (vector)		⍴⍴(⍳6) ⍝ Monadic leftmost {rho}{rho} generates the RANK of the vector = 1 (vector)
	1		1
	</pre>		</pre></apll>

	==Reshape - Dyadic {rho}==		==Reshape - Dyadic {rho}==
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	</table>		</table>
	<br />		<br />
	<p>For example, in origin 1(where ⎕IO=1)</p>		<p>For example, in origin <apll>1</apll> (where <apll>⎕IO=1</apll>)</p>

	<apll>~~      ~~2 3⍴⍳6~~<br />~~		<apll><pre>
	~~ ~~1 2 3~~<br />~~		2 3⍴⍳6
	~~ ~~4 5 6~~<br />~~		1 2 3
	~~      ~~2 3⍴⍳0~~<br />~~		4 5 6
	~~ ~~0 0 0~~<br />~~		2 3⍴⍳0
	~~ ~~0 0 0<br /></apll>		0 0 0
			0 0 0</pre></apll>

	<p>The idea for the latter enhancement was taken from Dyalog APL.</p>		<p>The idea for the latter enhancement was taken from Dyalog APL.</p>
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	==See Also==		==See Also==



	{{Language Toolbar}}		{{Language Toolbar}}
	[[Category:Mouse Group 8\|R]]		[[Category:Mouse Group 8\|R]]
	[[Category:Symbols\|R]]		[[Category:Symbols\|R]]

Robert Wallick: /* Shape - Monadic {rho} */ RhoRho = added rank examples

2015-08-02T01:38:47Z

Shape - Monadic {rho}: RhoRho = added rank examples

← Older revision		Revision as of 21:38, 1 August 2015
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	0		0
	⍴, 4.581 ⍝ Rho for a raveled(, or comma used) scalar(real num 4.581) - again correctly represents a Count(# elements) function		⍴, 4.581 ⍝ Rho for a raveled(, or comma used) scalar(real num 4.581) - again correctly represents a Count(# elements) function
			1

			2 3⍴⍳6 ⍝ Dyadic call for demonstration purposes(see below for dyadic calls to {rho}): result = 2 rows and 3 cols matrix of integers(1..6)
			1 2 3
			4 5 6

			⍴2 3⍴⍳6 ⍝ Monadic LEFTMOST shape {rho} yields: matrix has 2 rows and 3 cols; equivalent to ⍴(2 3⍴⍳6) which has parentheses added for clarity
			2 3

			⍴⍴(2 3⍴⍳6) ⍝ Monadic LEFTMOST shape-shape or {rho}{rho} generates the RANK of the 2 row, 3 col matrix which = 2 (matrix)
			2
			⍴⍴(⍳6) ⍝ Monadic leftmost {rho}{rho} generates the RANK of the vector = 1 (vector)
	1		1
	</pre>		</pre>

Robert Wallick: expanded examples

2015-08-02T01:12:28Z

expanded examples

← Older revision		Revision as of 21:12, 1 August 2015
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	Rho may be used as a [[monadic]] or [[dyadic]] operator, depending on the functionality desired. Used monadically with the argument to the right returns the '''shape''' of the argument. Used dyadically, the argument on the left is used to '''reshape''' the argument on the right.		Rho may be used as a [[monadic]] or [[dyadic]] operator, depending on the functionality desired. Used monadically with the argument to the right returns the '''shape''' of the argument. Used dyadically, the argument on the left is used to '''reshape''' the argument on the right.

	==Shape==		==Shape - Monadic {rho}==
	~~The symbol~~ {rho} used monadically ~~with~~ no left argument returns the shape of ~~the~~ argument ~~to the right~~, i.e. the size or dimensions of a scalar, string, vector, array or matrix. Shape returns null for a scalar or a single character, it returns 0 for a null string, the length of a string of at least two characters, the number of elements of an array or vector, and the number of elements of a matrix.		<big>Symbol '''{rho}''' when used '''monadically''' (no left argument) returns the '''shape of {rho}'s right argument''', i.e. the size or dimensions of a scalar, string, vector, array or matrix. Shape returns null for a scalar or a single character, it returns 0 for a null string, the length of a string of at least two characters, the number of elements of an array or vector, and the number of elements of a matrix.</big>
			<pre>
			⍴ 1 2 3 4 5 6 ⍝ Rho in the case of vectors represents a Count(# elements) function
			6
			⍴'abcdefg' ⍝ Similarly with text strings(vector of chars), Rho represents a Count function
			7
			⍴ 1 ⍝ For a scalar right argument, Rho generates a null vector.

	==Reshape==
			⍴⍴ 1 ⍝ The shape of the shape(⍴⍴) of a scalar (because the shape of a scalar is a null) - generates zero.
			0

			⍴ 'a' ⍝ Ditto for {numbers, integers, letters}, etc. - for scalar right arguments: Rho also generates a null vector.


			⍴⍴ 'a'
			0
			⍴, 4.581 ⍝ Rho for a raveled(, or comma used) scalar(real num 4.581) - again correctly represents a Count(# elements) function
			1
			</pre>

			==Reshape - Dyadic {rho}==
			<big>'''{rho}''''s Left Argument(L) output-reshapes {rho}'s Right Argument(R).</big>
	<table border="1" cellpadding="5" cellspacing="0" rules="none" summary="">		<table border="1" cellpadding="5" cellspacing="0" rules="none" summary="">
	<tr>		<tr>
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	<td></td>		<td></td>
	<td></td>		<td></td>
	<td>returns an array of shape <apll>L</apll> whose items are taken from <apll>R</apll> in row major order, repeated as necessary.</td>		<td>dyadic '''{rho}''' returns an array of shape <apll>L</apll> whose items are taken from <apll>R</apll> in row major order, repeated as necessary.</td>
	</tr>		</tr>
	</table>		</table>
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	</table>		</table>
	<br />		<br />
	<p>For example, in origin-1</p>		<p>For example, in origin 1(where ⎕IO=1)</p>

	<apll>      2 3⍴⍳6<br />		<apll>      2 3⍴⍳6<br />

Paul Robinson: /* Reshape */

2014-11-27T01:32:05Z

Reshape

← Older revision		Revision as of 21:32, 26 November 2014
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	<p>The idea for the latter enhancement was taken from Dyalog APL.</p>		<p>The idea for the latter enhancement was taken from Dyalog APL.</p>

	{{article footer}		{{article footer}}
	[[Category:Monadic Operators]]		[[Category:Monadic Operators]]
	[[Category:Dyadic Operators]]		[[Category:Dyadic Operators]]

Paul Robinson: /* Shape */

2014-11-27T01:31:05Z

Shape

← Older revision		Revision as of 21:31, 26 November 2014
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	==Shape==		==Shape==
	The symbol {rho} used monadically with no left argument returns the shape of the argument to the right, i.e. the size or dimensions of a scalar, string, vector, array or matrix.		The symbol {rho} used monadically with no left argument returns the shape of the argument to the right, i.e. the size or dimensions of a scalar, string, vector, array or matrix. Shape returns null for a scalar or a single character, it returns 0 for a null string, the length of a string of at least two characters, the number of elements of an array or vector, and the number of elements of a matrix.


	==Reshape==		==Reshape==

Paul Robinson at 01:26, 27 November 2014

2014-11-27T01:26:32Z

← Older revision		Revision as of 21:26, 26 November 2014
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	__NOTOC__		__NOTOC__
	~~<h1>~~ {rho} ~~—~~ Shape or Reshape ~~— Keystroke~~ ALT+r ~~— Character~~ 9076~~</h1>~~
			{{Article header
			\|sym={rho}
			\|def=Shape or Reshape
			\|ks=ALT+r
			\|char=9076 or x2374
			\|kb=APLKB-Rho.png\|kb2=}}

	Note: This is ALT+r; ALT+SHIFT+R will generate the symbol [[Symbol Root\|root]] ({root}).		Note: This is ALT+r; ALT+SHIFT+R will generate the symbol [[Symbol Root\|root]] ({root}).

	~~[[File:APLKB-Rho.png]]~~

	Rho may be used as a [[monadic]] or [[dyadic]] operator, depending on the functionality desired. Used monadically with the argument to the right returns the '''shape''' of the argument. Used dyadically, the argument on the left is used to '''reshape''' the argument on the right.		Rho may be used as a [[monadic]] or [[dyadic]] operator, depending on the functionality desired. Used monadically with the argument to the right returns the '''shape''' of the argument. Used dyadically, the argument on the left is used to '''reshape''' the argument on the right.

Paul Robinson at 01:19, 27 November 2014

2014-11-27T01:19:42Z

← Older revision		Revision as of 21:19, 26 November 2014
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	[[File:APLKB-Rho.png]]		[[File:APLKB-Rho.png]]

			Rho may be used as a [[monadic]] or [[dyadic]] operator, depending on the functionality desired. Used monadically with the argument to the right returns the '''shape''' of the argument. Used dyadically, the argument on the left is used to '''reshape''' the argument on the right.

			==Shape==
			The symbol {rho} used monadically with no left argument returns the shape of the argument to the right, i.e. the size or dimensions of a scalar, string, vector, array or matrix.


	==Reshape==		==Reshape==
	<table border="1" cellpadding="5" cellspacing="0" rules="none" summary="">		<table border="1" cellpadding="5" cellspacing="0" rules="none" summary="">
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	<p>The idea for the latter enhancement was taken from Dyalog APL.</p>		<p>The idea for the latter enhancement was taken from Dyalog APL.</p>

	~~==Shape==~~
	~~The symbol {rho} used with no left argument returns the size or dimensions of a scalar, string, vector, array or matrix.~~

	{{article footer}		{{article footer}

Paul Robinson at 01:13, 27 November 2014

2014-11-27T01:13:24Z

@@ Line 4: / Line 4: @@
 [[File:APLKB-Rho.png]]
-==Usage==
+==Reshape==
-==Example==
+<table border="1" cellpadding="5" cellspacing="0" rules="none" summary="">
 ==See Also==

Paul Robinson: Paul Robinson moved page Symbol Rho to Rho: Fleshed out enough to become a full named symbol

2014-11-27T01:12:33Z

Paul Robinson moved page Symbol Rho to Rho: Fleshed out enough to become a full named symbol

← Older revision	Revision as of 21:12, 26 November 2014
(No difference)