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Website. lean-lang .org. Influenced by. ML. Coq. Haskell. Lean is a proof assistant and a functional programming language. [1] It is based on the calculus of constructions with inductive types. It is an open-source project hosted on GitHub.
t. e. In mathematical analysis, the Dirac delta function (or δ distribution ), also known as the unit impulse, [1] is a generalized function on the real numbers, whose value is zero everywhere except at zero, and whose integral over the entire real line is equal to one. [2] [3] [4] Since there is no function having this property, modelling the ...
Delta method. In statistics, the delta method is a method of deriving the asymptotic distribution of a random variable. It is applicable when the random variable being considered can be defined as a differentiable function of a random variable which is asymptotically Gaussian .
Proof assistant. In computer science and mathematical logic, a proof assistant or interactive theorem prover is a software tool to assist with the development of formal proofs by human-machine collaboration. This involves some sort of interactive proof editor, or other interface, with which a human can guide the search for proofs, the details ...
Glossary of mathematical symbols. A mathematical symbol is a figure or a combination of figures that is used to represent a mathematical object, an action on mathematical objects, a relation between mathematical objects, or for structuring the other symbols that occur in a formula. As formulas are entirely constituted with symbols of various ...
A deterministic finite automaton M is a 5- tuple, (Q, Σ, δ, q0, F), consisting of. a finite set of states Q. a finite set of input symbols called the alphabet Σ. a transition function δ : Q × Σ → Q. an initial or start state. q 0 ∈ Q {\displaystyle q_ {0}\in Q} a set of accept states. F ⊆ Q {\displaystyle F\subseteq Q}
Delta operator. In mathematics, a delta operator is a shift-equivariant linear operator on the vector space of polynomials in a variable over a field that reduces degrees by one. To say that is shift-equivariant means that if , then. In other words, if is a "shift" of , then is also a shift of , and has the same "shifting vector" .
Single delta potential. The time-independent Schrödinger equation for the wave function ψ(x) of a particle in one dimension in a potential V(x) is. where ħ is the reduced Planck constant, and E is the energy of the particle. The delta potential is the potential. where δ(x) is the Dirac delta function. It is called a delta potential well if ...