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Universal quantification; denotes 'for all' or 'for any' within a given context.

Existential quantification; denotes the existence of at least one element that satisfies a given property.

Material implication; denotes 'implies that' in logical statements.

Material equivalence; denotes 'if and only if' and establishes that two statements are both necessary and sufficient for each other.

Negation; denotes the logical complement of a statement.

Logical conjunction; denotes 'and', used to combine two statements that must both be true.

Logical disjunction; denotes 'or', used to combine two statements where at least one must be true.

Subset; denotes that all elements of one set are contained within another set.

Subset or equal to; denotes all the elements of one set are contained within another, and the sets may be equal.

Superset; denotes a set that contains all elements of another set.

Element of; denotes membership of an element in a set.

Contains as an element; denotes that a set has a particular element.

Equivalence; denotes that two expressions are identically equal or congruent.

Summation; denotes the sum of a sequence of terms.

Product notation; indicates the multiplication of a sequence of terms.

Integral; represents the area under a curve or the antiderivative of a function.

Limit; calculates the value that a function approaches as the variable approaches a specified value.

Derivative; denotes the rate at which a function is changing at any given point.

Partial derivative; indicates the derivative of a function with respect to one of many variables, treating the others as constants.

Delta; represents change or difference in mathematical expressions.

Direct sum; refers to the sum of algebraic structures, such as groups, rings, and vector spaces.

Tensor product; operation on two tensors that produces another tensor.

Empty set; denotes a set with no elements.

Del or nabla operator; used in vector calculus to denote gradient, divergence, or curl.

Denotes the angle formed by points A, B, and C, with the vertex at point B.

Parallel; indicates that two lines, segments, or planes are equidistant and will never meet.

Perpendicular; denotes that lines, segments, or planes meet at a right angle (90 degrees).

Congruent; used to denote that two figures have the same shape and size.

Similar; used to denote geometrical similarity, meaning the figures have the same shape but not necessarily the same size.