From: Robert Dodier <robert_dodier@us...>  20041229 08:01:48

Update of /cvsroot/maxima/maxima/doc/info In directory sc8prcvs1.sourceforge.net:/tmp/cvsserv17823 Modified Files: Number.texi Log Message: Change @defun items to lowercase. Addt'l whitespace in @defun's. Write "expr" instead of "exp" in @defun's. Index: Number.texi =================================================================== RCS file: /cvsroot/maxima/maxima/doc/info/Number.texi,v retrieving revision 1.7 retrieving revision 1.8 diff u d r1.7 r1.8  Number.texi 29 Dec 2004 07:59:40 0000 1.7 +++ Number.texi 29 Dec 2004 08:01:39 0000 1.8 @@ 6,20 +6,20 @@ @node Definitions for Number Theory, , Number Theory, Number Theory @section Definitions for Number Theory @... BERN (x) +@defun bern (x) gives the Xth Bernoulli number for integer X. ZEROBERN[TRUE] if set to FALSE excludes the zero BERNOULLI numbers. (See also BURN). @end defun @... BERNPOLY (v, n) +@defun bernpoly (v, n) generates the nth Bernoulli polynomial in the variable v. @end defun @... BFZETA (exp,n) +@defun bfzeta (expr, n) BFLOAT version of the Riemann Zeta function. The 2nd argument is how many digits to retain and return, it's a good idea to request a couple of extra. This function is available by doing @@ 27,7 +27,7 @@ @end defun @... BGZETA (S, FPPREC) +@defun bgzeta (s, fpprec) BGZETA is like BZETA, but avoids arithmetic overflow errors on large arguments, is faster on medium size arguments (say S=55, FPPREC=69), and is slightly slower on small arguments. It @@ 36,7 +36,7 @@ @end defun @... BHZETA (S,H,FPPREC) +@defun bhzeta (s, h, fpprec) gives FPPREC digits of @example SUM((K+H)^S,K,0,INF) @@ 45,7 +45,7 @@ @end defun @... BINOMIAL (X, Y) +@defun binomial (x, y) the binomial coefficient X*(X1)*...*(XY+1)/Y!. If X and Y are integers, then the numerical value of the binomial coefficient is computed. If Y, or the value XY, is an integer, the @@ 53,7 +53,7 @@ @end defun @... BURN (N) +@defun burn (n) is like BERN(N), but without computing all of the uncomputed Bernoullis of smaller index. So BURN works efficiently for large, isolated N. (BERN(402) takes about 645 secs vs 13.5 secs for @@ 67,12 +67,12 @@ @end defun @... BZETA +@defun bzeta  This function is obsolete, see BFZETA. @end defun @... CF (exp) +@defun cf (expr) converts exp into a continued fraction. exp is an expression composed of arithmetic operators and lists which represent continued fractions. A continued fraction a+1/(b+1/(c+...)) is represented by @@ 84,7 +84,7 @@ @end defun @... CFDISREP (list) +@defun cfdisrep (list) converts the continued fraction represented by list into general representation. @example @@ 103,7 +103,7 @@ @end example @end defun @... CFEXPAND (x) +@defun cfexpand (x) gives a matrix of the numerators and denominators of the nexttolast and last convergents of the continued fraction x. @example @@ 120,39 +120,39 @@ @end example @end defun @... CFLENGTH +@defvar cflength default: [1] controls the number of terms of the continued fraction the function CF will give, as the value CFLENGTH[1] times the period. Thus the default is to give one period. @end defvar @... DIVSUM (n,k) +@defun divsum (n, k) adds up all the factors of n raised to the kth power. If only one argument is given then k is assumed to be 1. @end defun @... EULER (X) +@defun euler (x) gives the Xth Euler number for integer X. For the EulerMascheroni constant, see %GAMMA. @end defun @... factorial (X) +@defun factorial (x) The factorial function. Maxima treats @code{factorial (x)} the same as @code{x!}. See @code{!}. @end defun @... FIB (X) +@defun fib (x) the Xth Fibonacci number with FIB(0)=0, FIB(1)=1, and FIB(N)=(1)^(N+1) *FIB(N). PREVFIB is FIB(X1), the Fibonacci number preceding the last one computed. @end defun @... FIBTOPHI (exp) +@defun fibtophi (expr) converts FIB(n) to its closed form definition. This involves the constant %PHI (= (SQRT(5)+1)/2 = 1.618033989). If you want the Rational Function Package to know @@ 160,30 +160,30 @@ @end defun @... INRT (X,n) +@defun inrt (x, n) takes two integer arguments, X and n, and returns the integer nth root of the absolute value of X. @end defun @... JACOBI (p,q) +@defun jacobi (p, q) is the Jacobi symbol of p and q. @end defun @... LCM (exp1,exp2,...) +@defun lcm (expr_1, expr_2, expr_3, ...) returns the Least Common Multiple of its arguments. Do LOAD(FUNCTS); to access this function. @end defun @... MAXPRIME +@defvar maxprime default: [489318]  the largest number which may be given to the PRIME(n) command, which returns the nth prime. @end defvar @... MINFACTORIAL (exp) +@defun minfactorial (expr) examines exp for occurrences of two factorials which differ by an integer. It then turns one into a polynomial times the other. If exp involves binomial coefficients then they will be @@ 202,7 +202,7 @@ @end example @end defun @... PARTFRAC (exp, var) +@defun partfrac (expr, var) expands the expression exp in partial fractions with respect to the main variable, var. PARTFRAC does a complete partial fraction decomposition. The algorithm employed is based on @@ 213,7 +213,7 @@ @end defun @... PRIME (n) +@defun prime (n) gives the nth prime. MAXPRIME[489318] is the largest number accepted as argument. Note: The PRIME command does not work in Maxima, since it required a large file of primes, which most users @@ 221,12 +221,12 @@ @end defun @... PRIMEP (n) +@defun primep (n) returns TRUE if n is a prime, FALSE if not. @end defun @... QUNIT (n) +@defun qunit (n) gives the principal unit of the real quadratic number field SQRT(n) where n is an integer, i.e. the element whose norm is unity. This amounts to solving Pell's equation A**2 n*B**2=1. @@ 240,25 +240,25 @@ @end example @end defun @... TOTIENT (n) +@defun totient (n) is the number of integers less than or equal to n which are relatively prime to n. @end defun @... ZEROBERN +@defvar zerobern default: [TRUE]  if set to FALSE excludes the zero BERNOULLI numbers. (See the BERN function.) @end defvar @... ZETA (X) +@defun zeta (x) gives the Riemann zeta function for certain integer values of X. @end defun @... ZETA%PI +@defvar zeta%pi default: [TRUE]  if FALSE, suppresses ZETA(n) giving coeff*%PI^n for n even. 