The Expression class.
This class represents a mathematical expression.
## S4 method for signature 'Expression' value(object) ## S4 method for signature 'Expression' grad(object) ## S4 method for signature 'Expression' domain(object) ## S4 method for signature 'Expression' as.character(x) ## S4 method for signature 'Expression' name(x) ## S4 method for signature 'Expression' expr(object) ## S4 method for signature 'Expression' is_constant(object) ## S4 method for signature 'Expression' is_affine(object) ## S4 method for signature 'Expression' is_convex(object) ## S4 method for signature 'Expression' is_concave(object) ## S4 method for signature 'Expression' is_dcp(object) ## S4 method for signature 'Expression' is_log_log_constant(object) ## S4 method for signature 'Expression' is_log_log_affine(object) ## S4 method for signature 'Expression' is_log_log_convex(object) ## S4 method for signature 'Expression' is_log_log_concave(object) ## S4 method for signature 'Expression' is_dgp(object) ## S4 method for signature 'Expression' is_hermitian(object) ## S4 method for signature 'Expression' is_psd(object) ## S4 method for signature 'Expression' is_nsd(object) ## S4 method for signature 'Expression' is_quadratic(object) ## S4 method for signature 'Expression' is_symmetric(object) ## S4 method for signature 'Expression' is_pwl(object) ## S4 method for signature 'Expression' is_qpwa(object) ## S4 method for signature 'Expression' is_zero(object) ## S4 method for signature 'Expression' is_nonneg(object) ## S4 method for signature 'Expression' is_nonpos(object) ## S4 method for signature 'Expression' dim(x) ## S4 method for signature 'Expression' is_real(object) ## S4 method for signature 'Expression' is_imag(object) ## S4 method for signature 'Expression' is_complex(object) ## S4 method for signature 'Expression' size(object) ## S4 method for signature 'Expression' ndim(object) ## S4 method for signature 'Expression' flatten(object) ## S4 method for signature 'Expression' is_scalar(object) ## S4 method for signature 'Expression' is_vector(object) ## S4 method for signature 'Expression' is_matrix(object) ## S4 method for signature 'Expression' nrow(x) ## S4 method for signature 'Expression' ncol(x)
x, object |
An Expression object. |
value
: The value of the expression.
grad
: The (sub/super)-gradient of the expression with respect to each variable.
domain
: A list of constraints describing the closure of the region where the expression is finite.
as.character
: The string representation of the expression.
name
: The name of the expression.
expr
: The expression itself.
is_constant
: The expression is constant if it contains no variables or is identically zero.
is_affine
: The expression is affine if it is constant or both convex and concave.
is_convex
: A logical value indicating whether the expression is convex.
is_concave
: A logical value indicating whether the expression is concave.
is_dcp
: The expression is DCP if it is convex or concave.
is_log_log_constant
: Is the expression log-log constant, i.e., elementwise positive?
is_log_log_affine
: Is the expression log-log affine?
is_log_log_convex
: Is the expression log-log convex?
is_log_log_concave
: Is the expression log-log concave?
is_dgp
: The expression is DGP if it is log-log DCP.
is_hermitian
: A logical value indicating whether the expression is a Hermitian matrix.
is_psd
: A logical value indicating whether the expression is a positive semidefinite matrix.
is_nsd
: A logical value indicating whether the expression is a negative semidefinite matrix.
is_quadratic
: A logical value indicating whether the expression is quadratic.
is_symmetric
: A logical value indicating whether the expression is symmetric.
is_pwl
: A logical value indicating whether the expression is piecewise linear.
is_qpwa
: A logical value indicating whether the expression is quadratic of piecewise affine.
is_zero
: The expression is zero if it is both nonnegative and nonpositive.
is_nonneg
: A logical value indicating whether the expression is nonnegative.
is_nonpos
: A logical value indicating whether the expression is nonpositive.
dim
: The c(row, col)
dimensions of the expression.
is_real
: A logical value indicating whether the expression is real.
is_imag
: A logical value indicating whether the expression is imaginary.
is_complex
: A logical value indicating whether the expression is complex.
size
: The number of entries in the expression.
ndim
: The number of dimensions of the expression.
flatten
: Vectorizes the expression.
is_scalar
: A logical value indicating whether the expression is a scalar.
is_vector
: A logical value indicating whether the expression is a row or column vector.
is_matrix
: A logical value indicating whether the expression is a matrix.
nrow
: Number of rows in the expression.
ncol
: Number of columns in the expression.
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