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6.3 N-S

3A9B8 xNEG ( x → x' )
Negate Analytic Func
--
Changes the sign or negates an object.
--
z → -z
#n1 → #n2
[ arr ][ -arr ]
'sym' → '-(sym)'
x_u → -x_u
grob1 → grob2
PICT1 → PICT2
--
Related: ABS,CONJ,NOT,SIGN
3E98E xNEXT ( → )
NEXT Cmd
--
Ends definite loop structures. See the FOR and START command entries for syntax information.
--
Related: FOR,START,STEP
3DDBE xNOT ( x → x' )
NOT Cmd
--
Returns the one's complement or the logical inverse of the argument.
--
#n1 → #n2
T/F → 0/1
"str1" → "str2"
'sym' → 'NOT sym'
--
Related: AND,OR,XOR
0550AB ~xNSUB ( → npos )
Number of Sublist Cmd
--
Provides a way to access the current sublist position during an iteration of a program or command applied using DOSUBS.
--
Related: DOSUBS,ENDSUB
3A648 x>NUM ( x → x' )
Evaluate to Number Cmd
--
Evaluates a symbolic argument object and returns the numerical result.
--
objsym → z
--
Related: →Q,→Qpi UserRPL: x→NUM
3A3BD xOFF ( → )
Off Cmd
--
Turns off the calculator.
--
Related: CONT,HALT,KILL
3DD33 xOR ( x y → x' )
OR Func
--
Returns the logical OR of two arguments.
--
#n1 #n2 → #n3
"str1" "str2" → "str3"
T/F1 T/F2 → 0/1
T/F 'sym' → 'T/F OR sym'
'sym' T/F → 'sym OR T/F'
'sym1' 'sym2' → 'sym1 OR sym2'
--
Related: AND,NOT,XOR
3DC60 xPARAMETRIC ( → )
Parametric Plot Type Cmd
--
Sets the plot type to PARAMETRIC.
--
Related: BAR,CONTOUR,DIFFEQ,FUNCTION, GRIDMAP,HISTOGRAM,PARSURFACE,PCONTOUR, POLAR,SCATTER,SLOPEFIELD,TRUTH, WIREFRAME,YSLICE
0110AB ~xPCOEF ( [roots] → [coefs] )
Monic Polynomial Coefficients Cmd
--
Returns the coefficients of a monic polynomial (a polynomial with a leading coefficient of 1) having specific roots.
--
Related: PEVAL,PROOT
3C624 xPERM ( n k → n' )
Permutations Func
--
Returns the number of possible permutations of n items taken m at a time.
--
n m → Pn,m
'symn' m → 'PERM(symn,m)'
n 'symm' → 'PERM(n,symm)'
'symn' 'symm' → 'PERM(symn,symm)'
--
Related: COMB,!
0120AB ~xPEVAL ( [coefs] x → x' )
Polynomial Evaluation Cmd
--
Evaluates an n-degree polynomial at x.
--
Related: PCOEFF,PROOT
03F701 ~xPINIT ( → )
Port Initialize Cmd
--
Initializes all currently active ports. Does not affect data already stored in a port.
3DC54 xPOLAR ( → )
Polar Plot Type Cmd
--
Sets the plot type to POLAR.
--
Related: BAR,CONIC,DIFFEQ,FUNCTION, GRIDMAP,HISTOGRAM,PARAMETRIC,PARSURFACE, PCONTOUR,SCATTER,SLOPEFIELD,TRUTH, WIREFRAME,YSLICE
0100AB ~xPROOT ( [coefs] → [roots] )
Polynomial Roots Cmd
--
Returns all roots of an n-degree polynomial having real or complex roots.
--
Related: PCOEFF,PEVAL
0A20F2 ~xPSDEV ( → xpsdev )
( → {x1...xn} )
Population Standard Deviation Cmd
--
Calculates the population standard deviation of each of the m columns of coordiate values in the current stastics matrix (reserved variable ΣDAT).
--
<REF>TEXT:Reserved|ΣDAT
--
Related: MEAN,PCOV,PVAR,SDEV,TOT,VAR
2BDA2 xPVARS ( nport → {} mem )
Port-Variables Cmd
--
Returns a list of the backup objects (:nport:name) and the lib- rary objects (:nport:nlibrary) in the specified port. Also returns the available memory size (if RAM) or the memory type.
--
Related: VARS
3D80A x->Q ( x → a/b )
To Quotient Cmd
--
Returns a rational form of the argument.
--
x → 'a/b'
(x,y) → 'a/b+c/d*i
'sym1' → 'sym2'
--
Related: →Qπ,/ UserRPL: x→Q
3D829 x->QPI ( x → symb )
To Quotient Times π Cmd
--
Returns a rational form of the argument, or a rational form of the argument with π factored out, whichever yields the smaller denominator.
--
x → 'a/b*π'
x → 'a/b'
'sym1' → 'symb2'
(x,y) → 'a/b*π+c/d*π*i
(x,y) → 'a/b+c/d*i
--
Related: →Q,/,π UserRPL: x→Qπ
00C0AB ~xQR ( [[]] → [[Q]] [[R]] [[P]] )
QR Factorization of a Matrix Cmd
--
Returns the QR factorization of an n×m matrix.
--
Related: LQ,LSQ
3DB03 xQUAD ( symb var → symb' )
Solve Quadratic Equation Cmd
--
Solves an algebraic object symb for the variable var, and returns an expression symb' representing the solution.
--
Related: COLCT,EXPAN,ISOL,SHOW,SOLVE
3D068 xQUOTE ( ob → 'ob )
Quote Argument Func
--
Returns its argument unevaluated.
--
'sym' → 'sym'
obj → obj
--
Related: APPLY,|
3C5AD xRAND ( → x )
Random Number Cmd
--
Returns a pseudo-random number generated using a seed value, and updates the seed value.
--
Related: COMB,PERM,RDZ,!
0050AB ~xRANK ( [[]] → n )
Matrix Rank Cmd
--
Returns the rank of a rectangular matrix.
--
Related: LQ,LSQ,QR
03C0AB ~xRANM ( {m n} → [[]] )
( [[]] → [[]]' )
Random Matrix Cmd
--
Returns a matrix of specified dimensions that contains random integers in the range -9 through 9.
--
{ m n } → [[ rand mat ]]m×n
[[ mat ]]m×n → [[ rand mat ]]m×n
--
Related: RAND,RDZ
3D977 xPREDIV ( x y → x/y )
Prefix Divide Func
--
Prefix form of / (divide) generated by the Equation Writer Application.
--
z1 z2 → z1/z2
[arr] [[mat]] → [[arr×mat^-1]]
[arr] z → [arr/z]
z 'sym' → 'z/sym'
'sym' z → 'sym/z'
'sym1' 'sym2' → 'sym1/sym2'
#n1 n2 → #n3
n1 #n2 → #n3
#n1 #n2 → #n3
x_u1 y_u2 → (x/y)_u1/u2
x y_u → (x/y)_1/u
x_u y → (x/y)_u
'sym' x_u → 'sym/x_u'
x_u 'sym' → 'x_u/sym'
--
Related: / UserRPL: xRATIO
0490AB ~xRCI ( [[]] x nrow → [[]]' )
[] x n []'
Multiply Row by Constant Cmd
--
Multiplies row n of a matrix (or element n of a vector) by a const x, and returns the modified matrix.
--
Related: RCIJ
04A0AB ~xRCIJ ( [[]] x n* n+ → [[]]' )
( [] x n* n+ → []' )
Add Multiplied Row Cmd
--
Multiplies row n* of a matrix by a constant x, adds this product to row n+ of the matrix, and returns the modified matrix. Or, multiplies element n* of a vector by a constant x, adds this product to element n+ of the vector, and returns the modified vector.
--
Related: RCI
3C5C2 xRDZ ( x → )
Randomize Cmd
--
Uses a real number xseed as a seed for the RAND command.
--
Related: COMB,PERM,RAND,!
3CA30 xRE ( (x,y) → x )
( [] → []' )
Real Part Func
--
Returns the real part of the argument.
--
x → x
x_u → x
(x,y) → x
[ R-arr ][ R-arr ]
[ C-arr ][ R-arr ]
'sym' → 'RE(sym)'
--
Related: C→R,IM,R→C
3E634 xREPEAT ( 1/0 → )
REPEAT Cmd
--
Starts loop clause in
WHILE ... REPEAT ... END
indefinite loop structure.
--
Related: END,WHILE
0180AB ~xREVLIST ( {1...n} → {n...1}' )
Reverse List Cmd
--
Reverses the order of the elements in a list.
--
Related: SORT
3C07F xRND ( x n → x' )
Round Func
--
Rounds an object to a specified number of decimal places or significant digits, or to fit the current display format.
--
z1 nrnd → z2
z 'symrnd' → 'RND(z,symrnd)'
'sym' nrnd → 'RND(symb,nrnd)'
'sym1' 'symrnd' → 'RND(sym1,symrnd)'
[arr1] nrnd → [arr2]
x_u nrnd → y_u
x_u 'symrnd' → 'RND(x_u,symrnd)'
--
Related: TRNC
3C307 xRNRM ( [] → x )
Row Norm Cmd
--
Returns the row norm (infinity norm) of its argument array.
--
Related: CNRM,CROSS,DET,DOT
3CCB5 xROOT ( prog/s var guess → x )
( prog/s var {guesses} → x )
Root-Finder Cmd
--
Returns a real number xroot that is a value of the specified variable var for which the specified program or algebraic object most nearly evaluates to zero or a local extremum.
0430AB ~xROW- ( [[]] nrow → [[]]' [] )
( [] n → []' elt )
Delete Row Cmd
--
Deletes row n of a matrix (or element n of a vector), and returns the modified matrix (or vector) and the deleted row (or element).
--
Related: COL-,COL+,ROW-,RSWP
0440AB ~xROW+ ( [[]] [[]]' n → [[]]" )
( [[]] [] n → [[]]' )
( [] n n' → [] )
Insert Row Cmd
--
Inserts an array into a matrix (or one or more numbers into a vector) at a position indicated by nindex, and returns the modified matrix (or vector).
--
Related: COL-,COL+,ROW-,RSWP
00F0AB ~xRREF ( [[]] → [[]]' )
Reduced Row Echelon Form Cmd
--
Converts a rectangular matrix to a reduced row echelon form.
3C430 xRSD ( [B] [[A]] [Z] → []' )
( [[B]] [[A]] [[Z]] → [[]]' )
Residual Cmd
--
Computes the residual B - AZ of the arrays B, A, and Z.
0470AB ~xRSWP ( []/[[]] i j → []/[[]] )
Row Swap Cmd
--
Swaps rows i and j of a matrix and returns the modified matrix, or swaps elements i and j of a vector and returns the modified vector.
--
Related: CSWP,ROW+,ROW-
3DA79 xRULES
3C24F xR>D ( x → (180/π)x )
Radians to Degrees Func
--
Converts a real number expressed in radians to its equivalent in degrees.
--
x → (180/π)x
'sym' → 'R→D(sym)'
--
Related: D→R UserRPL: xR→D
3DC72 xSAME ( ob1 ob2 → 1/0 )
Display information about the makers of the calculator. Same Object Cmd
--
Compares two objects, and returns a true result (1) if they are identical, and a false result (0) if they are not.
--
Related: TYPE,==
00E0AB ~xSCHUR ( [[]] → [[Q]] [[T]] )
Schur Decomp. of Squ. Matrix Cmd
--
Returns the Schur decomposition of a square matrix.
--
Related: LQ,LU,QR,SVD,SVL,TRN
0130AB ~xSEQ ( prog var start end incr → {} )
Sequential Calculation Cmd
--
Returns a list of results generated ated by repeatedly executing prog using index var over the range start to end, in increments of incr.
--
Related: DOSUBS,STREAM
3DB51 xSHOW ( symb name → symb' )
( symb {names} → symb' )
Show Variable Cmd
--
Returns symb' which is equivalent to symb except that all implicit references to a variable name are made explicit.
--
Related: COLCT,EXPAN,ISOL,QUAD
3B5EF xSIGN ( x → x' )
Sign Func
--
Returns the sign of a real number argument, the sign of the numerical part of a unit object argument, or the unit vector in the direction of a complex number argument.
--
Related: ABS,MANT,XPON
3B781 xSIN ( x → x' )
Sine Analytic Func
--
z → sin z
'sym' → 'SIN(sym)'
x_uangular → sin(x_uangular)
--
Related: ASIN,COS,TAN
3B87D xSINH ( x → x' )
Hyperbolic Sine Analytic Func
--
Returns the hyperbolic sine of the argument.
--
z → sinh z
'sym' → 'SINH(sym)'
--
Related: ANUSH,COSH,TANH
0040AB ~xSNRM ( [] → x )
Spectral Norm Cmd
--
Returns the spectral norm of an array.
--
Related: ABS,CNRM,COND,RNRM,SRAD,TRACE
0190AB ~xSORT ( {} → {}' )
Ascending Order Sort Cmd
--
Sorts the elements in a list in ascending order.
--
Related: REVLIST
3B6E6 xSQ ( x → x' )
Square Analytic Func
--
Returns the square of the argument.
--
z → z2
x_u → x2_u2
[[ mat ]] → [[ mat × mat ]]
'sym' → 'SQ(sym)'
--
Related: √,^
0030AB ~xSRAD ( [[]] → x )
Spectral Radius Cmd
--
Returns the spectral radius of a square matrix.
--
Related: COND,SNRM,TRACE
3E710 xSTART ( start finish → )
START Definite Loop Structure Cmd
--
START xstart xfinish →
NEXT xstart xfinish →
STEP xincrement →
STEP 'symbincrement' →
--
Related: FOR,NEXT,STEP
3EABD xSTEP ( n → )
( symb → )
STEP Cmd
--
Defines the increment (step) value, and ends definite loop struct See the FOR and START command entries for syntax information.
--
Related: FOR,BEXT,START
0570AB ~xSTREAM ( {} prog → x )
Stream Execution Cmd
--
Moves the first two elements from the list onto the stack, and executes prog. The moves the next element (if any) onto the stack, and executes obj again using the previous result and the new element. Repeats this until the list is exhausted, and returns the final result.
--
Related: DOSUBS
0090AB ~xSVD ( [[]] → [[U]] [[V]] [S] )
Singular Value Decomposition Cmd
--
Returns the sigular value decomposition of an m×n matrix.
--
Related: DIAG→,MIN,SVL
00A0AB ~xSVL ( [[]] → [] )
Singular Values Cmd
--
Returns the singular values of an m×n matrix.
--
Related: MIN,SVD
3A5C4 xSYSEVAL ( # → ? )
Evaluate System Object Cmd
--
Evaluates unnamed operating system objects specified by their memory addresses.
--
Related: EVAL,LIBEVAL,FLASHEVAL


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This document was generated by Carsten Dominik on May, 30 2005 using texi2html