(Manipulating Vectors): Clarify definition of rnorm' and cnorm'.

(Arithmetic Tutorial): Simplify the verification of prime factors.
This commit is contained in:
Jay Belanger 2008-07-13 04:50:39 +00:00
parent 2ad05c22e6
commit a8b1414970

View file

@ -3002,10 +3002,9 @@ coefficient 30-choose-20, then determine its prime factorization.
@end smallexample
@noindent
You can verify these prime factors by using @kbd{v u} to ``unpack''
this vector into 8 separate stack entries, then @kbd{M-8 *} to
multiply them back together. The result is the original number,
30045015.
You can verify these prime factors by using @kbd{V R *} to multiply
together the elements of this vector. The result is the original
number, 30045015.
@cindex Hash tables
Suppose a program you are writing needs a hash table with at least
@ -20040,22 +20039,22 @@ from that point to the origin.
@kindex v n
@pindex calc-rnorm
@tindex rnorm
The @kbd{v n} (@code{calc-rnorm}) [@code{rnorm}] command computes
the row norm, or infinity-norm, of a vector or matrix. For a plain
vector, this is the maximum of the absolute values of the elements.
For a matrix, this is the maximum of the row-absolute-value-sums,
i.e., of the sums of the absolute values of the elements along the
various rows.
The @kbd{v n} (@code{calc-rnorm}) [@code{rnorm}] command computes the
infinity-norm of a vector, or the row norm of a matrix. For a plain
vector, this is the maximum of the absolute values of the elements. For
a matrix, this is the maximum of the row-absolute-value-sums, i.e., of
the sums of the absolute values of the elements along the various rows.
@kindex V N
@pindex calc-cnorm
@tindex cnorm
The @kbd{V N} (@code{calc-cnorm}) [@code{cnorm}] command computes
the column norm, or one-norm, of a vector or matrix. For a plain
the one-norm of a vector, or column norm of a matrix. For a plain
vector, this is the sum of the absolute values of the elements.
For a matrix, this is the maximum of the column-absolute-value-sums.
General @expr{k}-norms for @expr{k} other than one or infinity are
not provided.
not provided. However, the 2-norm (or Frobenius norm) is provided for
vectors by the @kbd{A} (@code{calc-abs}) command.
@kindex V C
@pindex calc-cross