Matches in DBpedia 2016-04 for { ?s <http://dbpedia.org/property/explain> ?o }
- List_of_mathematical_symbols explain "R ⋈ S is the natural join of the relations R and S, the set of all combinations of tuples in R and S that are equal on their common attribute names.".
- List_of_mathematical_symbols explain "R ⋉ S is the semijoin of the relations R and S, the set of all tuples in R for which there is a tuple in S that is equal on their common attribute names.".
- List_of_mathematical_symbols explain "R× consists of the set of units of the ring R, along with the operation of multiplication.".
- List_of_mathematical_symbols explain "R∗ consists of the set of units of the ring R, along with the operation of multiplication.".
- List_of_mathematical_symbols explain "S e means the same thing as e S, where S is a set and e is an element of S.".
- List_of_mathematical_symbols explain "S e means the same thing as e S, where S is a set and e is not an element of S.".
- List_of_mathematical_symbols explain "Similar to the integral, but used to denote a single integration over a closed curve or loop. It is sometimes used in physics texts involving equations regarding Gauss's Law, and while these formulas involve a closed surface integral, the representations describe only the first integration of the volume over the enclosing surface. Instances where the latter requires simultaneous double integration, the symbol would be more appropriate. A third related symbol is the closed volume integral, denoted by the symbol . The contour integral can also frequently be found with a subscript capital letter C, , denoting that a closed loop integral is, in fact, around a contour , or sometimes dually appropriately, a circle . In representations of Gauss's Law, a subscript capital S, , is used to denote that the integration is over a closed surface.".
- List_of_mathematical_symbols explain "Sometimes used in proofs before logical consequences.".
- List_of_mathematical_symbols explain "Sometimes used in proofs before reasoning.".
- List_of_mathematical_symbols explain "T1 2 means that T1 is a subtype of T2.".
- List_of_mathematical_symbols explain "The Big O notation describes the limiting behavior of a function, when the argument tends towards a particular value or infinity.".
- List_of_mathematical_symbols explain "The Laplace operator is a second order differential operator in n-dimensional Euclidean space".
- List_of_mathematical_symbols explain "The cardinality of is denoted by or by the symbol .".
- List_of_mathematical_symbols explain "The direct sum is a special way of combining several objects into one general object.".
- List_of_mathematical_symbols explain "The index of a subgroup H in a group G is the "relative size" of H in G: equivalently, the number of "copies" of H that fill up G".
- List_of_mathematical_symbols explain "The selection selects all those tuples in for which holds between the and the attribute. The selection selects all those tuples in for which holds between the attribute and the value .".
- List_of_mathematical_symbols explain "The span of S may also be written as Sp.".
- List_of_mathematical_symbols explain "The statement !A is true if and only if A is false.".
- List_of_mathematical_symbols explain "The statement A ∧ B is true if A and B are both true; else it is false.".
- List_of_mathematical_symbols explain "The statement A ∨ B is true if A or B are true; if both are false, the statement is false.".
- List_of_mathematical_symbols explain "The statement A ⊕ B is true when either A or B, but not both, are true. A B means the same.".
- List_of_mathematical_symbols explain "The statement ¬A is true if and only if A is false.".
- List_of_mathematical_symbols explain "There are many variants of the notation, such as ⟨u".
- List_of_mathematical_symbols explain "This may also be denoted as cl or Cl.".
- List_of_mathematical_symbols explain "This may also be written A wr H.".
- List_of_mathematical_symbols explain "This may also be written A′, At or Atr.".
- List_of_mathematical_symbols explain "This may also be written A∗T, AT∗, A∗, T or .".
- List_of_mathematical_symbols explain "This may also be written R× as described above, or U.".
- List_of_mathematical_symbols explain "This may also be written R∗ as described below, or U.".
- List_of_mathematical_symbols explain "This may also be written as K ≥ F.".
- List_of_mathematical_symbols explain "This may also be written as P, Pr, P[X] or Pr[X].".
- List_of_mathematical_symbols explain "This may also be written ≃, ≅, ~, ♎ , or ≒.".
- List_of_mathematical_symbols explain "Used in various formulas involving circles; π is equivalent to the amount of area a circle would take up in a square of equal width with an area of 4 square units, roughly 3.14159. It is also the ratio of the circumference to the diameter of a circle.".
- List_of_mathematical_symbols explain "Used to mark the end of a proof.".
- List_of_mathematical_symbols explain "W⊥ means the orthogonal complement of W , the set of all vectors in V orthogonal to every vector in W.".
- List_of_mathematical_symbols explain "X × Y means the set of all ordered pairs with the first element of each pair selected from X and the second element selected from Y.".
- List_of_mathematical_symbols explain "X ~ D, means the random variable X has the probability distribution D.".
- List_of_mathematical_symbols explain "[K : F] means the degree of the extension K : F.".
- List_of_mathematical_symbols explain "[S] maps a true statement S to 1 and a false statement S to 0.".
- List_of_mathematical_symbols explain "[a, b, c] = a × b · c, the scalar product of a × b with c.".
- List_of_mathematical_symbols explain "[a, b] = ab − ba, if a, b ∈ R .".
- List_of_mathematical_symbols explain "[a] means the equivalence class of a, i.e. {x : x ~ a}, where ~ is an equivalence relation.".
- List_of_mathematical_symbols explain "[a]R means the same, but with R as the equivalence relation.".
- List_of_mathematical_symbols explain "[g, h] = g−1h−1gh , if g, h ∈ G .".
- List_of_mathematical_symbols explain "[x] means the floor of x, i.e. the largest integer less than or equal to x.".
- List_of_mathematical_symbols explain "a ∣ b means a divides b.".
- List_of_mathematical_symbols explain "a ∤ b means a does not divide b.".
- List_of_mathematical_symbols explain "a ^ b means a raised to the power of b".
- List_of_mathematical_symbols explain "a ~ b means .".
- List_of_mathematical_symbols explain "a ∈ S means a is an element of the set S; a S means a is not an element of S.".
- List_of_mathematical_symbols explain "a ≡ b means a − b is divisible by n".
- List_of_mathematical_symbols explain "consists of homotopy equivalence classes of base point preserving maps from an n-dimensional sphere into the pointed space X.".
- List_of_mathematical_symbols explain "f means the value of the function f at the element x.".
- List_of_mathematical_symbols explain "f means { f : x ∈ X }, the image of the function f under the set X ⊆ dom.".
- List_of_mathematical_symbols explain "f ~ g means .".
- List_of_mathematical_symbols explain "f ′ means the derivative of the function f at the point x, i.e., the slope of the tangent to f at x.".
- List_of_mathematical_symbols explain "f ∗ g means the convolution of f and g.".
- List_of_mathematical_symbols explain "f ∘ g is the function such that = f.".
- List_of_mathematical_symbols explain "f ≪ g means the growth of f is asymptotically bounded by g.".
- List_of_mathematical_symbols explain "f: X → Y means the function f maps the set X into the set Y.".
- List_of_mathematical_symbols explain "f: a ↦ b means the function f maps the element a to the element b.".
- List_of_mathematical_symbols explain "f[X] means { f : x ∈ X }, the image of the function f under the set X ⊆ dom.".
- List_of_mathematical_symbols explain "if is represented in polar coordinates with , then .".
- List_of_mathematical_symbols explain "is shorthand for .".
- List_of_mathematical_symbols explain "is the algebraic closure of the field F.".
- List_of_mathematical_symbols explain "is the estimator or the estimate for the parameter .".
- List_of_mathematical_symbols explain "is the mean .".
- List_of_mathematical_symbols explain "is the normalized version of vector , having length 1.".
- List_of_mathematical_symbols explain "is the topological closure of the set S.".
- List_of_mathematical_symbols explain "let S be a subset of N for example, represents the average of all the element in S.".
- List_of_mathematical_symbols explain "m ~ n means the quantities m and n have the same order of magnitude, or general size.".
- List_of_mathematical_symbols explain "means and represent the same math object .".
- List_of_mathematical_symbols explain "means is a proper subgroup of .".
- List_of_mathematical_symbols explain "means is greater than .".
- List_of_mathematical_symbols explain "means is less than .".
- List_of_mathematical_symbols explain "means the number of combinations of k elements drawn from a set of n elements.".
- List_of_mathematical_symbols explain "means .".
- List_of_mathematical_symbols explain "means a function whose derivative is .".
- List_of_mathematical_symbols explain "means a space with a point at infinity.".
- List_of_mathematical_symbols explain "means reverse or rising binomial coefficient.".
- List_of_mathematical_symbols explain "means that and do not represent the same math object .".
- List_of_mathematical_symbols explain "means the complex conjugate of z.".
- List_of_mathematical_symbols explain "means the derivative of x with respect to time. That is .".
- List_of_mathematical_symbols explain "means the finite sequence/tuple .".
- List_of_mathematical_symbols explain "means the highest common factor of a and b.".
- List_of_mathematical_symbols explain "means the integral of along the curve , , where is a parametrization of .".
- List_of_mathematical_symbols explain "means the nonnegative number whose square is .".
- List_of_mathematical_symbols explain "means the probability of the event X occurring.".
- List_of_mathematical_symbols explain "means the set of all (n+1)-tuples ::.".
- List_of_mathematical_symbols explain "means the set of real numbers.".
- List_of_mathematical_symbols explain "means the set with no elements. { } means the same.".
- List_of_mathematical_symbols explain "means the signed area between the -axis and the graph of the function between and .".
- List_of_mathematical_symbols explain "means the smallest subgroup of G containing every element of S.".
- List_of_mathematical_symbols explain "means the tensor product of V and U. means the tensor product of modules V and U over the ring R.".
- List_of_mathematical_symbols explain "means {a + b i + c j + d k : a,b,c,d ∈ }.".
- List_of_mathematical_symbols explain "means {a + b i : a,b ∈ }.".
- List_of_mathematical_symbols explain "means {p/q : p ∈ , q ∈ }.".
- List_of_mathematical_symbols explain "n means {[0], [1], [2], ...[n−1]} with addition and multiplication modulo n.".
- List_of_mathematical_symbols explain "n! means the product 1 × 2 × ... × n.".
- List_of_mathematical_symbols explain "n# is product of all prime numbers less than or equal to n.".