In abstract algebraic logic, a branch of mathematical logic, the Leibniz operator is a tool used to classify deductive systems, which have a precise technical...

Gottfried Wilhelm Leibniz or Leibnitz (1 July 1646 [O.S. 21 June] – 14 November 1716) was a German polymath active as a mathematician, philosopher, scientist...

equation Leibniz's notation, a notation in calculus Leibniz operator, a concept in abstract logic Leibniz law, see product rule of calculus Leibniz rule,...

dx2 In calculus, Leibniz's notation, named in honor of the 17th-century German philosopher and mathematician Gottfried Wilhelm Leibniz, uses the symbols...

calculus, the general Leibniz rule, named after Gottfried Wilhelm Leibniz, generalizes the product rule (which is also known as "Leibniz's rule"). It states...

This notation uses a differential operator denoted as D (D operator)[failed verification] or D̃ (Newton–Leibniz operator). When applied to a function f(x)...

itself, like classifying various forms of algebraizability using the Leibniz operator (Czelakowski 2003). A homogeneous binary relation is found in the power...

In mathematics, the Laplace operator or Laplacian is a differential operator given by the divergence of the gradient of a scalar function on Euclidean...

propositional logics has five levels, defined in terms of properties of their Leibniz operator: protoalgebraic, (finitely) equivalential, and (finitely) algebraizable...

independently in the late 17th century by Isaac Newton and Gottfried Wilhelm Leibniz. Later work, including codifying the idea of limits, put these developments...

In calculus, the Leibniz integral rule for differentiation under the integral sign, named after Gottfried Wilhelm Leibniz, states that for an integral...

abstract algebraic logic. Algebraic semantics (mathematical logic) Leibniz operator List of Boolean algebra topics S.J. Surma (1982). "On the Origin and...

In calculus, the product rule (or Leibniz rule or Leibniz product rule) is a formula used to find the derivatives of products of two or more functions...

alternation, logical non-equivalence, or logical inequality is a logical operator whose negation is the logical biconditional. With two inputs, XOR is true...

subtractions and multiplications automatically and division under operator control. Leibniz struggled for forty years to perfect this design and produced...

In vector calculus, the curl, also known as rotor, is a vector operator that describes the infinitesimal circulation of a vector field in three-dimensional...

In mathematics, a (right) Leibniz algebra, named after Gottfried Wilhelm Leibniz, sometimes called a Loday algebra, after Jean-Louis Loday, is a module...

upside-down triangle and pronounced "del", denotes the vector differential operator. When a coordinate system is used in which the basis vectors are not functions...

difference operator Δh is a linear operator, as such it satisfies  Δh[ α f + β g ](x) = α Δh[ f ](x) + β Δh[g](x) . It also satisfies a special Leibniz rule:...

represent Leibniz rules for more than two factors, and are valid for any derivation. Identities (4)–(6) can also be interpreted as Leibniz rules. Identities...

attributed to the German philosopher Gottfried Wilhelm Leibniz. While some think that Leibniz's version of the principle is meant to be only the indiscernibility...

In Boolean logic, the majority function (also called the median operator) is the Boolean function that evaluates to false when half or more arguments are...

theorem Differential equation Differential operator Newton's method Taylor's theorem L'Hôpital's rule General Leibniz rule Mean value theorem Logarithmic derivative...

matrix can be defined in several equivalent ways, the most common being Leibniz formula, which expresses the determinant as a sum of n ! {\displaystyle...

centuries by Thomas Harriot, Juan Caramuel y Lobkowitz, and Gottfried Leibniz. However, systems related to binary numbers have appeared earlier in multiple...

Gottfried Leibniz started designing an entirely new machine called the Stepped Reckoner. It used a stepped drum, built by and named after him, the Leibniz wheel...

notation was introduced by the German mathematician Gottfried Wilhelm Leibniz in 1675 in his private writings; it first appeared publicly in the article...

In vector calculus, divergence is a vector operator that operates on a vector field, producing a scalar field giving the quantity of the vector field's...

sign originates as a specialized type of a long s (first used in print by Leibniz in 1686). Use of the symbol was discontinued by Legendre, but it was taken...

In mathematics, an Erdélyi–Kober operator is a fractional integration operation introduced by Arthur Erdélyi (1940) and Hermann Kober (1940). The Erdélyi–Kober...