scholarly journals On the new relation of second order limit language and other different types of splicing system

2020 ◽  
Author(s):  
Muhammad Azrin Ahmad ◽  
Nor Haniza Sarmin ◽  
Wan Heng Fong ◽  
Yuhani Yusof ◽  
Noraziah Adzhar
Keyword(s):  
Second Order ◽  
Different Types ◽  
Limit Language

scholarly journals Second-order neutrosophic boundary-value problem

2021 ◽  
Author(s):  
Sandip Moi ◽  
Suvankar Biswas ◽  
Smita Pal(Sarkar)
Keyword(s):  
Differential Equation ◽  
Boundary Value Problem ◽  
Differential Calculus ◽  
Boundary Value ◽  
Second Order ◽  
Numerical Examples ◽  
Different Types ◽  
First Time

AbstractIn this article, some properties of neutrosophic derivative and neutrosophic numbers have been presented. This properties have been used to develop the neutrosophic differential calculus. By considering different types of first- and second-order derivatives, different kind of systems of derivatives have been developed. This is the first time where a second-order neutrosophic boundary-value problem has been introduced with different types of first- and second-order derivatives. Some numerical examples have been examined to explain different systems of neutrosophic differential equation.

Quantitative Models of Motor Responses Subject to Longitudinal, Lateral, and Preview Constraints

1978 ◽  
Vol 20 (1) ◽  
pp. 35-39 ◽  
Author(s):  
Tarald O. Kvålseth
Keyword(s):  
Experimental Data ◽  
Motor Control ◽  
Linear Models ◽  
Movement Time ◽  
Arm Movements ◽  
Second Order ◽  
Motor Responses ◽  
First Order ◽  
Different Types ◽  
Index Of Difficulty

First- and second-order linear models of mean movement time for serial arm movements aimed at a target and subject to preview constraints and lateral constraints were formulated as extensions of the so-called Fitts's law of motor control. These models were validated on the basis of experimental data from five subjects and found to explain from 80% to 85% of the variation in movement time in the case of the first-order models and from 93% to 95% of such variation for the second-order models. Fitts's index of difficulty (ID) was generally found to contribute more to the movement time than did either the preview ID or the lateral ID defined. Of the different types of errors, target overshoots occurred far more frequently than undershoots.

scholarly journals Dye removal abilities of the mesophilic and thermophilic biomass: a kinetics study

2018 ◽  
Vol 20 (2) ◽  
pp. 408-416
Keyword(s):  
Intraparticle Diffusion ◽  
Second Order ◽  
Intraparticle Diffusion Model ◽  
First Order Kinetics ◽  
Different Types ◽  
Pseudo Second Order ◽  
Acidic Conditions ◽  
Red Dye ◽  
Experimental Kinetics ◽  
Kinetics Of

Mesophilic biomass and thermophilic biomass samples were isolated and used to remove Dorasyn Red dye from aqueous solutions. The biosorption kinetics of dye uptake by four different types of biomass at three temperatures (20, 30, and 40 °C) were investigated using pseudo-first order kinetics, pseudo-second order kinetics, intraparticle diffusion, Elovich, and Bangham models. The pseudo-second-order kinetics model and the first stage of the intraparticle diffusion model were effective in describing the experimental kinetics data. The biosorption results showed that the mesophilic biomass samples could be useful for removing dye under acidic conditions.

scholarly journals Cross-disciplinary Science and the Structure of Scientific Perspectives

2014 ◽  
Vol 1 (1) ◽  
pp. 7 ◽  
Author(s):  
Hugo Fjelsted Alrøe ◽  
Egon Noe
Keyword(s):  
Nature Of Science ◽  
Real World ◽  
Scientific Research ◽  
Second Order ◽  
Philosophical Analysis ◽  
Different Types ◽  
Real World Problems

<p>Cross-disciplinary use of science is needed to solve complex, real-world problems, but carrying out scientific research with multiple very different disciplines is in itself a non-trivial problem. Perspectives matter. In this paper we carry out a philosophical analysis of the perspectival nature of science, focusing on the synchronic structure of scientific perspectives across disciplines and not on the diachronic, historical structure of shifting perspectives within single disciplines that has been widely discussed since Kuhn and Feyerabend. We show what kinds of cross-disciplinary disagreement to expect due to the perspectival structure of science, suggest how to handle different scientific perspectives in cross-disciplinary work through perspectives of a second order, and discuss some fundamental epistemic differences between different types of science.</p>

Coherence of subsumption, minimum typing and type-checking in F ≤

1992 ◽  
Vol 2 (1) ◽  
pp. 55-91 ◽  
Author(s):  
Pierre-Louis Curien ◽  
Giorgio Ghelli
Keyword(s):  
Normal Form ◽  
Type System ◽  
Lambda Calculus ◽  
Complete Information ◽  
Second Order ◽  
Semantic Interpretation ◽  
Type Checking ◽  
Rewriting System ◽  
Different Types ◽  
Rewriting Rules

A subtyping relation ≤ between types is often accompanied by a typing rule, called subsumption: if a term a has type T and T≤U, then a has type U. In presence of subsumption, a well-typed term does not codify its proof of well typing. Since a semantic interpretation is most naturally defined by induction on the structure of typing proofs, a problem of coherence arises: different typing proofs of the same term must have related meanings. We propose a proof-theoretical, rewriting approach to this problem. We focus on F≤, a second-order lambda calculus with bounded quantification, which is rich enough to make the problem interesting. We define a normalizing rewriting system on proofs, which transforms different proofs of the same typing judgement into a unique normal proof, with the further property that all the normal proofs assigning different types to a given term in a given environment differ only by a final application of the subsumption rule. This rewriting system is not defined on the proofs themselves but on the terms of an auxiliary type system, in which the terms carry complete information about their typing proof. This technique gives us three different results:— Any semantic interpretation is coherent if and only if our rewriting rules are satisfied as equations.— We obtain a proof of the existence of a minimum type for each term in a given environment.— From an analysis of the shape of normal form proofs, we obtain a deterministic typechecking algorithm, which is sound and complete by construction.

Global energetics of fast magnetic reconnection

1988 ◽  
Vol 40 (3) ◽  
pp. 505-515 ◽  
Author(s):  
M. Jardine ◽  
E. R. Priest
Keyword(s):  
Steady State ◽  
Total Energy ◽  
Second Order ◽  
Weakly Nonlinear ◽  
First Order ◽  
Weakly Nonlinear Theory ◽  
Special Cases ◽  
Pile Up ◽  
Different Types ◽  
Converging Flow

We examine the global energetics of a recent weakly nonlinear theory of fast steady-state reconnection in an incompressible plasma (Jardine & Priest 1988). This is itself an extension to second order of the Priest & Forbes (1986) family of models, of which Petschek-like and Sonnerup-like solutions are special cases. While to first order we find that the energy conversion is insensitive to the type of solution (such as slow compression or flux pile-up), to second order not only does the total energy converted vary but so also does the ratio of the thermal to kinetic energies produced. For a slow compression with a strongly converging flow, the amount of energy converted is greatest and is dominated by the thermal contribution, while for a flux pile-up with a strongly diverging flow, the amount of energy converted is smallest and is dominated by the kinetic contribution. We also find that the total energy flowing out of the downstream region can be increased either by increasing the external magnetic Mach number Me or the external plasma beta βe Increasing Me also enhances the variations between different types of solutions.

scholarly journals Mechanism independence for texture-modulation detection is consistent with a filter-rectify-filter mechanism

2003 ◽  
Vol 20 (1) ◽  
pp. 65-76 ◽  
Author(s):  
FREDERICK A.A. KINGDOM ◽  
NICOLAAS PRINS ◽  
ANTHONY HAYES
Keyword(s):  
Visual System ◽  
Stimulus Type ◽  
Test Pattern ◽  
Second Order ◽  
Unresolved Issue ◽  
Stimulus Detection ◽  
Different Types ◽  
Contrast Normalization ◽  
Filter Mechanism ◽  
Rule Out

The ability of the visual system to detect stimuli that vary along dimensions other than luminance or color— “second-order” stimuli—has been of considerable interest in recent years. An important unresolved issue is whether different types of second-order stimuli are detected by a single, all purpose, mechanism, or by mechanisms that are specific to stimulus type. Using a conventional psychophysical paradigm, we show that for a class of second-order stimuli—textures sinusoidally modulated in orientation (OM), spatial frequency (FM), and contrast (CM)—the human visual system employs mechanisms that are selective to stimulus type. Whereas the addition of a subthreshold mask to a test pattern of the same stimulus type was found to facilitate the detection of the test, no facilitation was observed when mask and test were of different types, suggesting mechanism independence for the different types of stimulus. This finding raises the important question of whether mechanism independence is compatible with the well-known filter-rectify-filter (FRF) model of second-order stimulus detection, since FRF mechanisms, in principle, do not discriminate between stimulus types. We show that for all mask/test combinations except those with CM masks, the FRF mechanism giving the largest response to the test modulation is largely unaffected by subthreshold levels of a different stimulus-type mask. For this reason, we cannot rule out the possibility that FRF mechanisms mediate the detection of our stimuli. For combinations involving CM masks, however, we propose that a process of contrast normalization renders the test stimulus insensitive to the mask stimulus.

scholarly journals Fully and semi-automated shape differentiation in NGSolve

2020 ◽  
Author(s):  
Peter Gangl ◽  
Kevin Sturm ◽  
Michael Neunteufel ◽  
Joachim Schöberl
Keyword(s):  
Nonlinear Problems ◽  
Automatic Generation ◽  
Second Order ◽  
Shape Optimisation ◽  
Finite Element Software ◽  
Unconstrained Model ◽  
Taylor Test ◽  
Different Types ◽  
Numerical Optimisation ◽  
Shape Differentiation

Abstract In this paper, we present a framework for automated shape differentiation in the finite element software . Our approach combines the mathematical Lagrangian approach for differentiating PDE-constrained shape functions with the automated differentiation capabilities of . The user can decide which degree of automatisation is required, thus allowing for either a more custom-like or black-box–like behaviour of the software. We discuss the automatic generation of first- and second-order shape derivatives for unconstrained model problems as well as for more realistic problems that are constrained by different types of partial differential equations. We consider linear as well as nonlinear problems and also problems which are posed on surfaces. In numerical experiments, we verify the accuracy of the computed derivatives via a Taylor test. Finally, we present first- and second-order shape optimisation algorithms and illustrate them for several numerical optimisation examples ranging from nonlinear elasticity to Maxwell’s equations.

Second order limit language in variants of splicing system

2014 ◽  
Author(s):  
Muhammad Azrin Ahmad ◽  
Nor Haniza Sarmin ◽  
Fong Wan Heng ◽  
Yuhani Yusof
Keyword(s):  
Second Order ◽  
Limit Language

Contributions to the Theory of Mass Action Kinetics. I. Enumeration of Second Order Mass Action Kinetics

1978 ◽  
Vol 33 (7) ◽  
pp. 827-833 ◽  
Author(s):  
K.-D. Willamowski ◽  
O. E. Rössler
Keyword(s):  
Second Order ◽  
Mass Action ◽  
Reversible Reaction ◽  
Reaction Networks ◽  
Mass Action Kinetics ◽  
Number Of Species ◽  
Different Types

By investigating the reaction diagram in its own right, it is possible to solve the problem of enumerating all the different types of mass action kinetics up to second order. The amount of non isomorphic complex sets for a given number of species and of non isomorphic reaction networks and reversible reaction networks which can be derived from a given number of complexes is given.

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