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6.1 A-F

3AA49 xABS ( x → x' )
Absolute Value Function
--
Returns the absolute value of its argument.
x → |x|
(x,y) → sqrt(x^2+y^2)
x_unit → |x|_unit
[ array ] → || array ||
'sym' → 'ABS(sym)'
--
Flags: -3
--
Related: NEG,SIGN
3B9E1 xACOS ( x → x' )
Arc cos fn
--
Returns angle with given cos.
--
z → arc cos z
'sym' → 'ACOS(sym)'
--
Related: ASIN,ATAN,COS,ISOL,ACOSH
3BAD8 xACOSH ( x → x' )
Arc hyp cos fn
--
Returns val with given hyp cos.
--
z → arc hyp cos z
'sym' → 'ACOSH(sym)'
--
Related: ASINH,ATANH,COSH,ISOL
3BCDB xALOG ( x → x' )
Common antilog fn
--
ALOG x = 10^x
--
Flags: -3
numeric result
--
z → 10^z
'sym' → 'ALOG(sym)'
--
Related: EXP,LN,LOG
3DC94 xAND ( x1 x2 → x3 )
And fn
--
Logical AND of 2 args.
--
#n1 #n1 → #n3
"str1" "str2" → "str3"
T/F1 T/F2 → 0/1
T/F 'sym' → 'T/F AND sym'
'sym' T/F → 'sym AND T/F'
'sym1' 'sym2' → 'sym1 AND sym2'
--
Flags: -3 -5
Numeric res -3
Bin int wordsize -5 → -10
--
Related: NOT,OR,XOR
3D122 xAPPLY ( {symb1 .. symbn} f → f(symb1...symbn) )
Apply to args fn
--
Creates expr for specified fn name & args
--
Related: QUOTE,|
3B5A0 xARG ( c → θ )
Argument fn
--
Returns angle of a complex number
--
(x,y) → θ
'sym' → 'ARG(sym)'
--
Flags: -17 -18
Ang Mode -17,-18
3B95B xASIN ( x → x' )
Arc sin fn
--
Gives angle whose sin is given
--
z → arc sin z
'sym' → 'ASIN(sym)'
--
Flags: -1 -3 -17 -18
Principal soln -1
Numerical res -3
Angle mode -17,-18
--
Related: ACOS,ATAN,ISOL,SIN
3BA93 xASINH ( x → x' )
Arc hyp sin fn
--
Gives Val whose hyp sin is given
--
z → arc hyp sin z
'sym' → 'ASINH(sym)'
--
Flags: -1 -3
Principal soln -1
Numerical res -3
--
Related: ACOSH,ATANH,ISOL,SINH
3BA49 xATAN ( x → x' )
Arc tan fn
--
Returns the angle having the tan
--
z → arc tan z
'sym' → 'ATAN(sym)'
--
Flags: -1 -3 -17 -18
Principle soln -1
Numeric results -3
Angle mode -17,-18
--
Related: ACOS,ASIN,ISOL,TAN
3BB4A xATANH ( x → x' )
Arc hyp tan fn
--
Returns the value with given hyp tan.
--
z → arc hyp tan z
'sym' → 'ATANH(sym)'
--
Flags: -1 -3 -22
Principle soln -1
Numeric results -3
Infinite result exception -22
--
Related: ACOSH,ASINH,ISOL,TANH
3A62E xBEEP ( freq dur → )
Beep cmd
--
Sounds a tone of n Hz for x secs.
--
Flags: -56
Error Beep -56
Max Freq = 4400 Hz
Max Duration = 1048.575 secs.
--
Related: HALT,INPUT,PROMPT,WAIT
3EE91 xCASE ( → )
CASE Conditional Structure Cmd
--
Starts CASE ... END conditional structure.
--
CASE →
THEN T/F →
END
END
--
Related: END,IF,IFERR,THEN
3BEB2 xCEIL ( x → n )
Ceiling Func
--
Returns the smallest integer greater than or equal to the argument.
--
x → n
x_u → n_u
'sym' → 'CEIL(sym)'
--
Flags: -3
--
Related: FLOOR,IP,RND,TRNC
04E0AB ~xCHOOSE ( title {elems} pos → ob 1 )
( title {elems} pos → 0 )
User-Defined Choose Box Cmd
--
Creates a user-defined choose box
--
Related: INFORM,NOVAL
3C53B x%CH ( x1 x2 → x3 )
Percent Change Func
--
Returns the percent change from x (level 2) to y (level 1) as a percentage of x.
--
x y → 100(y-x)/x
x 'sym' → '%CH(x,sym)'
'sym' x → '%CH(sym,x)'
'sym1' 'sym2' → '%CH(sym1,sym2)'
x_u y_u → 100(y_u-x_u)/x_u
x_u 'sym' → '%CH(x_u,sym)'
'sym' x_u → '%CH(sym,x_u)'
--
Flags: -3
--
Related: %,%T
3A864 xCLLCD ( → )
Clear LCD Cmd
--
Clears (blanks) the stack display
--
Related: DISP,FREEZE
3C33A xCNRM ( [] → col_norm )
Column Norm Cmd
--
Returns the column norm (onenorm) of the array argument.
--
Related: CROSS,DET,DOT,RNRM
0460AB ~xCOL+ ( [[]] [[]]' n → [[]]" )
( [] x n → []' )
Insert Column Cmd
--
Inserts an array (vector or matrix) into a matrix (one or more elements into a vector) at the position indicated by nindex, and returns the modified array.
--
[[mat]]1 [mat]2 nidx → [[mat]]3
[[mat]]1 [vec]col nidx → [[mat]]2
[vec]1 nelement nidx → [vec]2
--
Related: COL-,CSWP,ROW+,ROW-
0450AB ~xCOL- ( [] n → []' xn )
( [[]] n → [[]]' [vn] )
Delete Column Cmd
--
Deletes column n of a matrix (or element n of a vector), and returns the modified matrix (or vector) and the deleted column (or element).
--
Related: COL+,CSWP,ROW+,ROW-
3D9F3 xCOLCT ( symb → symb' )
Collect Like Terms Cmd
--
Simplifies an algebraic expression or equation by "collecting" like terms. Does not modify numbers.
--
Related: EXPAN,ISOL,QUAD,SHOW
3C5E4 xCOMB ( n k → Cn,k )
Combinations Func
--
Returns the number of possible combinations ofn items taken m at a time.
--
n m → Cn:m
'symn' m → 'COMB(symn,m)'
n 'symm' → 'COMB(n,symm)'
'symn' 'symm' → 'COMB(symn,symm)'
--
Related: PERM,!
0010AB ~xCOND ( [[n*n]] → x )
Conditional Number Cmd
--
Returns the 1-norm (column norm) condition number of a square matrix.
--
Related: SNRM,SRAD,TRACE
3AA9F xCONJ ( x → x' )
Conjugate Analytic Func
--
Conjugates a complex number or a complex array.
--
x → x
(x,y) → (x,-y)
[ R-arr ][ R-arr ]
[ C-arr ]1 → [ C-arr ]2
'sym' → 'CONJ(sym)'
--
Flags: -3
--
Related: ABS,IM,RE,SCONJ,SIGN
3A8C0 xCONT ( → )
Continue Program Execution Cmd
--
Resumes execution of a halted program.
--
Related: HALT,KILL,PROMPT
2BF46 xCORR ( → x_correlation )
Correlation Cmd
--
Returns the correlation coefficient of the independent and dependent data columns in the current statistics matrix (reserved variable ΣDAT).
--
<REF>TEXT:Reserved|ΣDAT
--
Related: COLΣ,COV,PREDX,PREDY,XCOL,YCOL
3B7D5 xCOS ( x → x' )
Cos Func
--
Returns the cos of the argument.
--
z → cos z
'sym' → 'COS(sym)'
x_uangular → cos(x_uangular)
--
Flags: -3 -17 -18
--
Related: ACOS,SIN,TAN
3B8C7 xCOSH ( x → x' )
Hyp Cos Func
--
Returns the hyp cos of the argument.
--
z → cosh z
'sym' → 'COSH(sym)'
--
Flags: -3
--
Related: ACOSH,SINH,TANH
2BF61 xCOV ( → x_covariance )
Covariance Cmd
--
Returns the sample covariance of the independent and dependent data columns in the current stat matrix (reserved variable ΣDAT).
--
<REF>TEXT:Reserved|ΣDAT
--
Related: COLΣ,CORR,PCOV,PREDX,PREDY, XCOL,YCOL
3C3EC xCROSS ( [1] [2] → [3] )
Cross Product Cmd
--
CROSS returns the cross product [3] = [1] x [2] of vectors [1] and [2].
--
Related: CNRM,DET,DOT,RNRM
0480AB ~xCSWP
3C36D xDET ( [[]] → x )
Determinant Func
--
Returns the determinant of a square matrix.
--
Related: CNRM,CROSS,DOT,RNRM
3EFBF xDIR
3A614 xDISP ( obj n_line → )
Display Cmd
--
Displays obj in the nth display line.
--
Related: FREEZE,HALT,INPUT,PROMPT
3E695 xDO ( → )
DO Indefinite Loop Structure Cmd
--
Starts DO ... UNTIL ... END indefinite loop structure.
--
DO
UNTIL
END T/F →
--
Related: END,UNTIL,WHILE
3A3D2 xDOERR ( n → )
( #n → )
( $ → )
( 0 → )
Do Error Cmd
--
Executes a "user-specified" error, causing a program to behave exactly as if a normal error had occurred during program execution.
--
Related: ERRM,ERRN,ERR0
0590AB ~xDOLIST ( {1}...{n} n prog → {} )
( {1}...{n} prog → {} (n=1) )
Do to List Cmd
--
Applies commands, programs, or user-defined functions to lists.
--
{lst}1 ...{lst}n n «prog» → {res}
{lst}1 ...{lst}n n cmd → {res}
{lst}1 ...{lst}n n name → {res}
{lst}1 ...{lst}n «prog» → {res}
{lst}1 ...{lst}n cmd → {res}
{lst}1 ...{lst}n name → {res}
--
Related: DOSUBS,ENDSUB,NSUB,STREAM
0540AB ~xDOSUBS ( {} n prog → {}' )
( {} prog → {}' (n=1) )
Do to Sublist Cmd
--
Applies a program or command to groups of elements in a list.
--
{list}1 n «prog» → {list}2
{list}1 n command → {list}2
{list}1 n name → {list}2
{list}1 «prog» → {list}2
{list}1 command → {list}2
{list}1 name → {list}2
--
Related: DOLIST,ENDSUB,NSUB,STREAM
3C3A0 xDOT ( [1] [2] → x )
Dot Product Cmd
--
Returns the dot product AoB of two arrays A and B, calculated as the sum of the products of the corresponding elements of the two arrays.
--
Related: CNRM,CROSS,DET,RNRM
3C223 xD>R ( x → (π/180)x )
Degrees to Radians Func
--
Converts a real number representing an angle in degrees to its equivalent in radians.
--
x → (π/180) x
'sym' → 'D→R(sym)'
--
Related: R→D UserRPL: xD→R
3AB5B xCONSTANTe ( → e )
e Func
--
Returns the symbolic constant e or its numerical representation, 2.71828182846.
--
Related: EXP,EXPM,i,LN,LNP1,MAXR,MINR,π UserRPL: xe
0070AB ~xEGV ( [[]] → [[evect]]' [evals] )
Eigenvalues and Eigenvectors Command
--
Computes the eigenvalues and right eigenvectors for a square matrix.
--
Related: EGVL
0080AB ~xEGVL ( [[]] → [egval] )
Eigenvalues Cmd
--
Computes the eigenvalues of a square matrix.
--
Related: EGV
3E54D xELSE ( → )
ELSE Cmd
--
Starts false clause in conditional or error-trapping structure. See the IF and IFERR keyword entries for syntax information.
--
Related: IF,CASE,DO,ELSE,IFERR,REPEAT, THEN,UNTIL,WHILE
3EDD3 xENDDO ( 1/0 → )
END Cmd
--
Ends conditional, error-trapping, and indefinite loop structures. ; See the IF, CASE, IFERR, DO, and WHILE keyword entries for syntax information.
--
Related: IF,CASE,DO,ELSE,IFERR,REPEAT, THEN,UNTIL,WHILE UserRPL: xEND
3E568 xIFEND
END Cmd
--
Ends conditional, error-trapping, and indefinite loop structures.
--
See the IF, CASE, IFERR, DO, and WHILE keyword entries for syntax information.
--
Related: IF,CASE,DO,ELSE,IFERR,REPEAT, THEN,UNTIL,WHILE UserRPL: xEND
3EDB3 xWHILEEND
END Cmd
--
Ends conditional, error-trapping, and indefinite loop structures.
--
See the IF, CASE, IFERR, DO, and WHILE keyword entries for syntax information.
--
Related: IF,CASE,DO,ELSE,IFERR,REPEAT, THEN,UNTIL,WHILE UserRPL: xEND
0560AB ~xENDSUB ( → x )
Ending Sublist Cmd
--
Provides a way to access the total number of sublists contained in the list used by DOSUBS.
--
Related: DOSUBS,NSUB
3A400 xERR0 ( → )
Clear Last Error Number Cmd
--
Clears the last error number so that a subsequent execution of ERRN returns # 0h, and clears the last error message.
--
Related: DOERR,ERRM,ERRN
3A42A xERRM ( → $msg )
Error Message Cmd
--
Returns a string containing the error message of the most recent calculator error.
--
Related: DOERR,ERRN,ERR0
3A415 xERRN ( → $nerr )
Error Number Cmd
--
Returns the error number of the most recent calculator error.
--
Related: DOERR,ERRM,ERR0
3A43F xEVAL ( ob → ? )
Evaluate Object Cmd
--
Evaluates the object.
--
obj → (see below)
Obj. Type Effects of Evaluation Local Name Recalls the contents of the variable. Global Name Calls the contents of the variable: ; A name is evaluated. A program is evaluated. A directory becomes the current directory. Other objects are put on the stack. If no variable exists for a given name, evaluating the name returns the name to the stack. Program. Enters each object in the program: Names are evaluated (unless quoted). ed). Cmds are evaluated. Other objects are put on the stack. List Enters each object in the list: Names are evaluated. Cmds are evaluated. Programs are evaluated. Other objects are put on the stack. Tagged If the tag specifies a port, recalls and evaluates the specified object. Otherwise, puts the untagged object on the stack. Algebraic Enters each object in the algebraic expression: Names are evaluated. Cmds are evaluated. Other objects are put on the stack. Cmd, Func, XLIB Name Evaluates the specified object. Other Objects Puts the object on the stack.
--
Related: →NUM,SYSEVAL
3BBAD xEXP ( x → x' )
Exponential Analytic Func
--
Returns the exponential, or natural antilogarithm, of the argument; that is, e raised to the given power.
--
z → ez
'sym' → 'EXP(sym)'
--
Related: ALOG,EXPM,LN,LOG
3DA36 xEXPAN ( symb1 → symb2 )
Expand Products Cmd
--
Rewrites an algebraic expression or equation by expanding products and powers.
--
Related: COLCT,EXPAND,ISOL,QUAD,SHOW
3BD5B xEXPM ( x → x' )
Exponential Minus 1 Analytic Func
--
Returns e^x - 1.
--
x → e^x - 1
'sym' → 'EXPM(sym)'
--
Related: EXP,LNP1
3BE77 xFLOOR ( x → n )
Floor Func
--
Returns the greatest integer that is less than or equal to the argument.
--
x → n
x_u → n_u
'sym' → 'FLOOR(sym)'
--
Related: CEIL,IP,RND,TRNC
3E7A8 xSTARTVAR ( start finish → )
FOR Definite Loop Structure Cmd
--
Starts
FOR ... NEXT and
FOR ... STEP
definite loop structures.
--
FOR xstart xfinish →
NEXT →
FOR xstart xfinish →
STEP xincrement →
STEP 'symincrement' →
--
Related: NEXT,START,STEP UserRPL: xFOR
3BE3C xFP ( x → x' )
Fractional part Func
--
Returns the fractional part of an argument.
--
x → y
x_u → y_u
'sym' → 'FP(sym)'
--
Related: IP
3DC48 xFUNCTION ( → )
Function Plot Type Cmd
--
Sets the plot type to FUNCTION.
--
Related: BAR,CONIC,DIFFEQ,FASTEQ,FAST3D, GRIDMAP,HISTOGRAM,PARAMETRIC,PARSURFACE, PCONTOUR,POLAR,SCATTER,SLOPEFIELD,TRUTH, WIREFRAME,YSLICE


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