This class represents a mathematical expression.

# S4 method for class 'Expression'
value(object)

# S4 method for class 'Expression'
grad(object)

# S4 method for class 'Expression'
domain(object)

# S4 method for class 'Expression'
as.character(x)

# S4 method for class 'Expression'
name(x)

# S4 method for class 'Expression'
expr(object)

# S4 method for class 'Expression'
is_constant(object)

# S4 method for class 'Expression'
is_affine(object)

# S4 method for class 'Expression'
is_convex(object)

# S4 method for class 'Expression'
is_concave(object)

# S4 method for class 'Expression'
is_dcp(object)

# S4 method for class 'Expression'
is_log_log_constant(object)

# S4 method for class 'Expression'
is_log_log_affine(object)

# S4 method for class 'Expression'
is_log_log_convex(object)

# S4 method for class 'Expression'
is_log_log_concave(object)

# S4 method for class 'Expression'
is_dgp(object)

# S4 method for class 'Expression'
is_hermitian(object)

# S4 method for class 'Expression'
is_psd(object)

# S4 method for class 'Expression'
is_nsd(object)

# S4 method for class 'Expression'
is_quadratic(object)

# S4 method for class 'Expression'
is_symmetric(object)

# S4 method for class 'Expression'
is_pwl(object)

# S4 method for class 'Expression'
is_qpwa(object)

# S4 method for class 'Expression'
is_zero(object)

# S4 method for class 'Expression'
is_nonneg(object)

# S4 method for class 'Expression'
is_nonpos(object)

# S4 method for class 'Expression'
dim(x)

# S4 method for class 'Expression'
is_real(object)

# S4 method for class 'Expression'
is_imag(object)

# S4 method for class 'Expression'
is_complex(object)

# S4 method for class 'Expression'
size(object)

# S4 method for class 'Expression'
ndim(object)

# S4 method for class 'Expression'
flatten(object)

# S4 method for class 'Expression'
is_scalar(object)

# S4 method for class 'Expression'
is_vector(object)

# S4 method for class 'Expression'
is_matrix(object)

# S4 method for class 'Expression'
nrow(x)

# S4 method for class 'Expression'
ncol(x)

Arguments

x, object

An Expression object.

Methods (by generic)

  • value(Expression): The value of the expression.

  • grad(Expression): The (sub/super)-gradient of the expression with respect to each variable.

  • domain(Expression): A list of constraints describing the closure of the region where the expression is finite.

  • as.character(Expression): The string representation of the expression.

  • name(Expression): The name of the expression.

  • expr(Expression): The expression itself.

  • is_constant(Expression): The expression is constant if it contains no variables or is identically zero.

  • is_affine(Expression): The expression is affine if it is constant or both convex and concave.

  • is_convex(Expression): A logical value indicating whether the expression is convex.

  • is_concave(Expression): A logical value indicating whether the expression is concave.

  • is_dcp(Expression): The expression is DCP if it is convex or concave.

  • is_log_log_constant(Expression): Is the expression log-log constant, i.e., elementwise positive?

  • is_log_log_affine(Expression): Is the expression log-log affine?

  • is_log_log_convex(Expression): Is the expression log-log convex?

  • is_log_log_concave(Expression): Is the expression log-log concave?

  • is_dgp(Expression): The expression is DGP if it is log-log DCP.

  • is_hermitian(Expression): A logical value indicating whether the expression is a Hermitian matrix.

  • is_psd(Expression): A logical value indicating whether the expression is a positive semidefinite matrix.

  • is_nsd(Expression): A logical value indicating whether the expression is a negative semidefinite matrix.

  • is_quadratic(Expression): A logical value indicating whether the expression is quadratic.

  • is_symmetric(Expression): A logical value indicating whether the expression is symmetric.

  • is_pwl(Expression): A logical value indicating whether the expression is piecewise linear.

  • is_qpwa(Expression): A logical value indicating whether the expression is quadratic of piecewise affine.

  • is_zero(Expression): The expression is zero if it is both nonnegative and nonpositive.

  • is_nonneg(Expression): A logical value indicating whether the expression is nonnegative.

  • is_nonpos(Expression): A logical value indicating whether the expression is nonpositive.

  • dim(Expression): The c(row, col) dimensions of the expression.

  • is_real(Expression): A logical value indicating whether the expression is real.

  • is_imag(Expression): A logical value indicating whether the expression is imaginary.

  • is_complex(Expression): A logical value indicating whether the expression is complex.

  • size(Expression): The number of entries in the expression.

  • ndim(Expression): The number of dimensions of the expression.

  • flatten(Expression): Vectorizes the expression.

  • is_scalar(Expression): A logical value indicating whether the expression is a scalar.

  • is_vector(Expression): A logical value indicating whether the expression is a row or column vector.

  • is_matrix(Expression): A logical value indicating whether the expression is a matrix.

  • nrow(Expression): Number of rows in the expression.

  • ncol(Expression): Number of columns in the expression.