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Taylor expansion in linear logic is invertible [PDF]

open access: yesLogical Methods in Computer Science, 2018
Each Multiplicative Exponential Linear Logic (MELL) proof-net can be expanded into a differential net, which is its Taylor expansion. We prove that two different MELL proof-nets have two different Taylor expansions.
Daniel de Carvalho
doaj   +5 more sources

A new type of Taylor series expansion [PDF]

open access: yesJournal of Inequalities and Applications, 2018
We present a variant of the classical integration by parts to introduce a new type of Taylor series expansion and to present some closed forms for integrals involving Jacobi and Laguerre polynomials, which cannot be directly obtained by usual symbolic ...
Mohammad Masjed-Jamei   +3 more
doaj   +5 more sources

Finite chemical potential equation of state for QCD from an alternative expansion scheme [PDF]

open access: yesEPJ Web of Conferences, 2022
The Taylor expansion approach to the equation of state of QCD at finite chemical potential struggles to reach large chemical potential μB. This is primarily due to the intrinsic diffculty in precisely determining higher order Taylor coefficients, as well
Parotto Paolo   +8 more
doaj   +1 more source

Finitary Simulation of Infinitary $\beta$-Reduction via Taylor Expansion, and Applications [PDF]

open access: yesLogical Methods in Computer Science, 2023
Originating in Girard's Linear logic, Ehrhard and Regnier's Taylor expansion of $\lambda$-terms has been broadly used as a tool to approximate the terms of several variants of the $\lambda$-calculus. Many results arise from a Commutation theorem relating
Rémy Cerda, Lionel Vaux Auclair
doaj   +1 more source

On the Taylor Expansion of Value Functions [PDF]

open access: yesOperations Research, 2020
We introduce a framework for approximate dynamic programming that we apply to discrete time chains on $\mathbb{Z}_+^d$ with countable action sets. Our approach is grounded in the approximation of the (controlled) chain's generator by that of another Markov process. In simple terms, our approach stipulates applying a second-order Taylor expansion to the
Anton Braverman   +2 more
openaire   +3 more sources

Hybrid solution method for ultra-wideband positioning in coal mines

open access: yesGong-kuang zidonghua, 2021
Ultra-wideband positioning is based on the marked point distance measured by the base station and a set of non-linear positioning equations to obtain the precise device position by applying Taylor series expansion algorithm, Chan algorithm or least ...
CHEN Meirong   +3 more
doaj   +1 more source

Taylor Expansion of Discount Factors

open access: yesCoRR, 2021
In practical reinforcement learning (RL), the discount factor used for estimating value functions often differs from that used for defining the evaluation objective. In this work, we study the effect that this discrepancy of discount factors has during learning, and discover a family of objectives that interpolate value functions of two distinct ...
Yunhao Tang   +3 more
openaire   +4 more sources

Taylor‐based adaptive sliding mode control method for robot manipulators

open access: yesIET Control Theory & Applications, 2023
This paper develops a novel Taylor‐based adaptive sliding mode control method (ASMC) for robot manipulators. In the first new scheme, sliding mode control (SMC) is effectively enhanced using the Taylor expansion for achieving a less conservative sign ...
Alireza Fateh   +2 more
doaj   +1 more source

An Exact In-Plane Equilibrium Equation for Transversely Loaded Large Deflection Membranes and Its Application to the Föppl-Hencky Membrane Problem

open access: yesMathematics, 2023
In the existing literature, there are only two in-plane equilibrium equations for membrane problems; one does not take into account the contribution of deflection to in-plane equilibrium at all, and the other only partly takes it into account.
Jun-Yi Sun, Ji Wu, Xue Li, Xiao-Ting He
doaj   +1 more source

Revisiting Call-by-value B\"ohm trees in light of their Taylor expansion [PDF]

open access: yesLogical Methods in Computer Science, 2020
The call-by-value lambda calculus can be endowed with permutation rules, arising from linear logic proof-nets, having the advantage of unblocking some redexes that otherwise get stuck during the reduction.
Emma Kerinec   +2 more
doaj   +1 more source

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