Returns true
if this is a regular (i.e. non-singular) matrix.
Returns true
if this is a singular matrix.
Returns true
if this is a square matrix.
Returns true
if this is a unitary matrix Raises an error if matrix is not square.
Returns the rank of the matrix. Beware that using Float
values can yield erroneous results because of their lack of precision. Consider using exact types like Rational
or BigDecimal
instead.
Matrix[[7,6], [3,9]].rank => 2
deprecated; use Matrix#rank
Returns the trace (sum of diagonal elements) of the matrix.
Matrix[[7,6], [3,9]].trace => 16
Returns the transpose of the matrix.
Matrix[[1,2], [3,4], [5,6]] => 1 2 3 4 5 6 Matrix[[1,2], [3,4], [5,6]].transpose => 1 3 5 2 4 6
Returns the imaginary part of the matrix.
Matrix[[Complex(1,2), Complex(0,1), 0], [1, 2, 3]] => 1+2i i 0 1 2 3 Matrix[[Complex(1,2), Complex(0,1), 0], [1, 2, 3]].imaginary => 2i i 0 0 0 0
Heading banner preceding summary.
Puts option summary into to
and returns to
. Yields each line if a block is given.
to
Output destination, which must have method <<. Defaults to [].
width
Width of left side, defaults to @summary_width.
max
Maximum length allowed for left side, defaults to width
- 1.
indent
Indentation, defaults to @summary_indent.
Parses command line arguments argv
in order when environment variable POSIXLY_CORRECT is set, and in permutation mode otherwise. When optional into
keyword argument is provided, the parsed option values are stored there via []=
method (so it can be Hash
, or OpenStruct
, or other similar object).
Same as parse
, but removes switches destructively. Non-option arguments remain in argv
.
Searches key
in @stack for id
hash and returns or yields the result.
Increases left margin after newline with indent
for line breaks added in the block.
Opens a new transaction for the data store. Code executed inside a block passed to this method may read and write data to and from the data store file.
At the end of the block, changes are committed to the data store automatically. You may exit the transaction early with a call to either PStore#commit
or PStore#abort
. See those methods for details about how changes are handled. Raising an uncaught Exception
in the block is equivalent to calling PStore#abort
.
If read_only is set to true
, you will only be allowed to read from the data store during the transaction and any attempts to change the data will raise a PStore::Error
.
Note that PStore
does not support nested transactions.
Create the tasks defined by this task lib.
Returns the number of mandatory arguments. If the block is declared to take no arguments, returns 0. If the block is known to take exactly n arguments, returns n. If the block has optional arguments, returns -n-1, where n is the number of mandatory arguments, with the exception for blocks that are not lambdas and have only a finite number of optional arguments; in this latter case, returns n. Keyword arguments will be considered as a single additional argument, that argument being mandatory if any keyword argument is mandatory. A proc
with no argument declarations is the same as a block declaring ||
as its arguments.
proc {}.arity #=> 0 proc { || }.arity #=> 0 proc { |a| }.arity #=> 1 proc { |a, b| }.arity #=> 2 proc { |a, b, c| }.arity #=> 3 proc { |*a| }.arity #=> -1 proc { |a, *b| }.arity #=> -2 proc { |a, *b, c| }.arity #=> -3 proc { |x:, y:, z:0| }.arity #=> 1 proc { |*a, x:, y:0| }.arity #=> -2 proc { |a=0| }.arity #=> 0 lambda { |a=0| }.arity #=> -1 proc { |a=0, b| }.arity #=> 1 lambda { |a=0, b| }.arity #=> -2 proc { |a=0, b=0| }.arity #=> 0 lambda { |a=0, b=0| }.arity #=> -1 proc { |a, b=0| }.arity #=> 1 lambda { |a, b=0| }.arity #=> -2 proc { |(a, b), c=0| }.arity #=> 1 lambda { |(a, b), c=0| }.arity #=> -2 proc { |a, x:0, y:0| }.arity #=> 1 lambda { |a, x:0, y:0| }.arity #=> -2
Returns a curried proc. If the optional arity argument is given, it determines the number of arguments. A curried proc receives some arguments. If a sufficient number of arguments are supplied, it passes the supplied arguments to the original proc and returns the result. Otherwise, returns another curried proc that takes the rest of arguments.
b = proc {|x, y, z| (x||0) + (y||0) + (z||0) } p b.curry[1][2][3] #=> 6 p b.curry[1, 2][3, 4] #=> 6 p b.curry(5)[1][2][3][4][5] #=> 6 p b.curry(5)[1, 2][3, 4][5] #=> 6 p b.curry(1)[1] #=> 1 b = proc {|x, y, z, *w| (x||0) + (y||0) + (z||0) + w.inject(0, &:+) } p b.curry[1][2][3] #=> 6 p b.curry[1, 2][3, 4] #=> 10 p b.curry(5)[1][2][3][4][5] #=> 15 p b.curry(5)[1, 2][3, 4][5] #=> 15 p b.curry(1)[1] #=> 1 b = lambda {|x, y, z| (x||0) + (y||0) + (z||0) } p b.curry[1][2][3] #=> 6 p b.curry[1, 2][3, 4] #=> wrong number of arguments (given 4, expected 3) p b.curry(5) #=> wrong number of arguments (given 5, expected 3) p b.curry(1) #=> wrong number of arguments (given 1, expected 3) b = lambda {|x, y, z, *w| (x||0) + (y||0) + (z||0) + w.inject(0, &:+) } p b.curry[1][2][3] #=> 6 p b.curry[1, 2][3, 4] #=> 10 p b.curry(5)[1][2][3][4][5] #=> 15 p b.curry(5)[1, 2][3, 4][5] #=> 15 p b.curry(1) #=> wrong number of arguments (given 1, expected 3) b = proc { :foo } p b.curry[] #=> :foo