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Mathematical Notation
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Universal quantification; denotes 'for all' or 'for any' within a given context.
Superset; denotes a set that contains all elements of another set.
Existential quantification; denotes the existence of at least one element that satisfies a given property.
Logical disjunction; denotes 'or', used to combine two statements where at least one must be true.
Therefore; used before a logical conclusion that follows from the arguments provided.
Integral; represents the area under a curve or the antiderivative of a function.
Equivalence; denotes that two expressions are identically equal or congruent.
Congruent; used to denote that two figures have the same shape and size.
Element of; denotes membership of an element in a set.
Contains as an element; denotes that a set has a particular element.
Del or nabla operator; used in vector calculus to denote gradient, divergence, or curl.
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.
Product notation; indicates the multiplication of a sequence of terms.
Summation; denotes the sum of a sequence of terms.
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.
Parallel; indicates that two lines, segments, or planes are equidistant and will never meet.
Negation; denotes the logical complement of a statement.
Logical conjunction; denotes 'and', used to combine two statements that must both be true.
Similar; used to denote geometrical similarity, meaning the figures have the same shape but not necessarily the same size.
Denotes the angle formed by points A, B, and C, with the vertex at point B.
Limit; calculates the value that a function approaches as the variable approaches a specified value.
Empty set; denotes a set with no elements.
Direct sum; refers to the sum of algebraic structures, such as groups, rings, and vector spaces.
Subset or equal to; denotes all the elements of one set are contained within another, and the sets may be equal.
Perpendicular; denotes that lines, segments, or planes meet at a right angle (90 degrees).
Subset; denotes that all elements of one set are contained within another set.
Delta; represents change or difference in mathematical expressions.
Tensor product; operation on two tensors that produces another tensor.
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