Rho calculus information

calculi that use the name rho-calculus: The first is a formalism intended to combine the higher-order facilities of lambda calculus with the pattern matching...

related fields, Malliavin calculus is a set of mathematical techniques and ideas that extend the mathematical field of calculus of variations from deterministic...

Fractional calculus is a branch of mathematical analysis that studies the several different possibilities of defining real number powers or complex number...

to computational theory Kappa calculus, a reformulation of the first-order fragment of typed lambda calculus Rho calculus, introduced as a general means...

stochastic calculus is a generalization of stochastic calculus to noncommuting variables. The tools provided by quantum stochastic calculus are of great...

In mathematics, Ricci calculus constitutes the rules of index notation and manipulation for tensors and tensor fields on a differentiable manifold, with...

relativity and tensor calculus, the contracted Bianchi identities are: ∇ ρ R ρ μ = 1 2 ∇ μ R {\displaystyle \nabla _{\rho }{R^{\rho }}_{\mu }={1 \over 2}\nabla...

typed lambda calculus ( λ → {\displaystyle \lambda ^{\to }} ), a form of type theory, is a typed interpretation of the lambda calculus with only one...

In vector calculus, the Jacobian matrix (/dʒəˈkoʊbiən/, /dʒɪ-, jɪ-/) of a vector-valued function of several variables is the matrix of all its first-order...

{A_{\rho }(\phi )\,d\rho -A_{\rho }(\phi +d\phi )\,d\rho +A_{\phi }(\rho +d\rho )(\rho +d\rho )\,d\phi -A_{\phi }(\rho )\rho \,d\phi }{\rho \,d\rho \,d\phi...

\lambda {\widehat {\rho }}} calculus -- a version of Pierre-Louis Curien's λ ρ ^ {\displaystyle \lambda {\widehat {\rho }}} calculus of explicit substitutions...

In vector calculus, the gradient of a scalar-valued differentiable function f {\displaystyle f} of several variables is the vector field (or vector-valued...

parallel. Referential transparency in computer science Regulated rewriting Rho calculus Interaction Nets This variant of the previous rule is needed since the...

the Helmholtz decomposition theorem or the fundamental theorem of vector calculus states that any sufficiently smooth, rapidly decaying vector field in three...

{\displaystyle q={\frac {1}{2}}\rho \,u^{2}} where (in SI units): q is the dynamic pressure in pascals (i.e., kg/(m*s2), ρ (Greek letter rho) is the fluid mass density...

integral of ρ d x d y d z {\displaystyle \rho \,dx\,dy\,dz} . Thus ρ ′ = 100 − 3 ρ {\displaystyle \rho '=100^{-3}\rho } (in units of kg⋅cm−3). More generally...

and tensor calculus, the Palatini identity is δ R σ ν = ∇ ρ δ Γ ν σ ρ − ∇ ν δ Γ ρ σ ρ , {\displaystyle \delta R_{\sigma \nu }=\nabla _{\rho }\delta \Gamma...

)k^{-\rho }] \over {(1-\rho )[\alpha +(1-\alpha )k^{-\rho }]-\alpha (1-\rho )}}\\[6pt]&={(1-\rho -\tau )[\alpha +(1-\alpha )k^{-\rho }]-\alpha (1-\rho ) \over...

{\delta (FG)[\rho ]}{\delta \rho (x)}}={\frac {\delta F[\rho ]}{\delta \rho (x)}}G[\rho ]+F[\rho ]{\frac {\delta G[\rho ]}{\delta \rho (x)}}\,,} Chain...

In computational number theory, the index calculus algorithm is a probabilistic algorithm for computing discrete logarithms. Dedicated to the discrete...

{d} \rho }{\mathrm {d} t}}\mathbf {u} _{\rho }+\rho \mathbf {u} _{\theta }{\frac {\mathrm {d} \theta }{\mathrm {d} t}}=v_{\rho }\mathbf {u} _{\rho }+v_{\theta...

, ρ B ) {\displaystyle I(\rho ^{A}:\rho ^{B})\ {\stackrel {\mathrm {def} }{=}}\ S(\rho ^{A})+S(\rho ^{B})-S(\rho ^{A},\rho ^{B})} These definitions parallel...