Results 11 to 20 of about 28,926 (266)
Linear Lambda-Calculus is Linear
We prove a linearity theorem for an extension of linear logic with addition and multiplication by a scalar: the proofs of some propositions in this logic are linear in the algebraic sense. This work is part of a wider research program that aims at defining a logic whose proof language is a quantum programming language.
Alejandro Díaz-Caro, Gilles Dowek
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Linearity and Bisimulation [PDF]
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Nobuko Yoshida +2 more
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In 2017, Bauer, Johnson, Osborne, Riehl, and Tebbe (BJORT) showed that the Abelian functor calculus provides an example of a Cartesian differential category. The definition of a Cartesian differential category is based on a differential combinator which directly formalizes the total derivative from multivariable calculus. However, in the aforementioned
J. Robin B. Cockett +1 more
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Linearization Technologies for Broadband Radio-Over-Fiber Transmission Systems
Linearization technologies that can be used for linearizing RoF transmission are reviewed. Three main linearization methods, i.e. electrical analog linearization, optical linearization, and electrical digital linearization are presented and compared ...
Xiupu Zhang +3 more
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Linear Problems and Linear Algorithms
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B. Curtis Eaves, Uriel G. Rothblum
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Model predictive power control of a heat pipe cooled reactor
Heat pipe cooled reactor (HPR) has broad application prospects in deep space exploration, deep-sea submarine exploration, and other scenarios due to the small size, high inherent safety, and easy modularization and expansion.
Jiajun Huang, Peiwei Sun, Songmao Pu
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A Linear Algebra Approach to Linear Metatheory [PDF]
Linear typed $λ$-calculi are more delicate than their simply typed siblings when it comes to metatheoretic results like preservation of typing under renaming and substitution. Tracking the usage of variables in contexts places more constraints on how variables may be renamed or substituted.
Wood, James, Atkey, Robert
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Nonlinear Controller Design via Inferenced-Augmentation of Equivalent Linearized System
Output compensation of nonlinear system response is studied in this work with an inference-based design method used to control the nonlinear dynamics in the presence of non-linear effects.
Ovie EseOghene +2 more
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A noise-resistant linearization model that reveals the true nonlinearity of the sensor is essential for retrieving accurate physical displacement from the signals captured by sensing electronics.
Wen-Hao Zhang +5 more
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Linear Invariants for Linear Systems
A central question in verification is characterizing when a system has invariants of a certain form, and then synthesizing them. We say a system has a $k$ linear invariant, $k$-LI in short, if it has a conjunction of $k$ linear (non-strict) inequalities -- equivalently, an intersection of $k$ (closed) half spaces -- as an invariant.
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