As a noun cavity

is a hole or hollow depression.

As an adjective cancellous is

(anatomy|of bone) having low density and strength but high surface area, of the kind that fills the inner cavity of long bones.

As nouns the difference between coordinate and permutohedron

is that coordinate is a number representing the position of a point along a line, arc, or similar one-dimensional figure while permutohedron is an polytope with n-1 dimensions that is embedded in an n-dimensional space, its vertices formed by permuting the coordinates of the vector (1, 2, 3, ..., n).

As an adjective coordinate

is of the same rank; equal.

As a verb coordinate

is to synchronize (activities).

In mathematics|lang=en terms the difference between vector and permutohedron

is that vector is (mathematics) any member of a (generalized) vector space while permutohedron is (mathematics) an polytope with n''-1 dimensions that is embedded in an n-dimensional space, its vertices]] formed by [[permute|permuting the coordinates of the vector (1, 2, 3, , ''n ).

As nouns the difference between vector and permutohedron

is that vector is (mathematics) a directed quantity, one with both magnitude and direction; the signed difference between two points while permutohedron is (mathematics) an polytope with n''-1 dimensions that is embedded in an n-dimensional space, its vertices]] formed by [[permute|permuting the coordinates of the vector (1, 2, 3, , ''n ).

As a verb vector

is to set (particularly an aircraft) on a course toward a selected point.

As nouns the difference between convex and associahedron

is that convex is any convex body or surface while associahedron is (mathematics) a convex polytope in which each vertex corresponds to a way of correctly inserting opening and closing parentheses in a word of n letters and the edges correspond to a single application of the associativity rule.

As an adjective convex

is curved or bowed outward like the outside of a bowl or sphere or circle.

As nouns the difference between polytope and associahedron

is that polytope is (geometry) a finite region of n -dimensional space bounded by hyperplanes; the geometrical entity represented by the general term of the infinite sequence "point, line, polygon, polyhedron, " while associahedron is (mathematics) a convex polytope in which each vertex corresponds to a way of correctly inserting opening and closing parentheses in a word of n letters and the edges correspond to a single application of the associativity rule.

In mathematics|lang=en terms the difference between vertex and associahedron

is that vertex is (mathematics) a point on the curve with a local minimum or maximum of curvature while associahedron is (mathematics) a convex polytope in which each vertex corresponds to a way of correctly inserting opening and closing parentheses in a word of n letters and the edges correspond to a single application of the associativity rule.

As nouns the difference between vertex and associahedron

is that vertex is the highest point of something while associahedron is (mathematics) a convex polytope in which each vertex corresponds to a way of correctly inserting opening and closing parentheses in a word of n letters and the edges correspond to a single application of the associativity rule.

As an adjective relativistic

is of, or relating to relativity.

As an adverb relativistically is

in a relativistic way.

As nouns the difference between polytope and permutohedron

is that polytope is (geometry) a finite region of n -dimensional space bounded by hyperplanes; the geometrical entity represented by the general term of the infinite sequence "point, line, polygon, polyhedron, " while permutohedron is (mathematics) an polytope with n''-1 dimensions that is embedded in an n-dimensional space, its vertices]] formed by [[permute|permuting the coordinates of the vector (1, 2, 3, , ''n ).

As nouns the difference between dimension and permutohedron

is that dimension is dimension while permutohedron is (mathematics) an polytope with n''-1 dimensions that is embedded in an n-dimensional space, its vertices]] formed by [[permute|permuting the coordinates of the vector (1, 2, 3, , ''n ).

As nouns the difference between embed and permutohedron

is that embed is an embedded reporter/journalist: a war reporter assigned to and travelling with a military unit while permutohedron is (mathematics) an polytope with n''-1 dimensions that is embedded in an n-dimensional space, its vertices]] formed by [[permute|permuting the coordinates of the vector (1, 2, 3, , ''n ).

As a verb embed

is to lay as in a bed; to lay in surrounding matter; to bed; as, to embed a thing in clay, mortar, or sand.