GPU Based Modelling and Analysis for Parallel Fractional Order Derivative Model of the Spiral-Plate Heat Exchanger

Heat exchangers are commonly used in various industries. A spiral-plate heat exchanger with two fluids is a compact plant that only requires a small space and is excellent in high heat transfer efficiency. However, the spiral-plate heat exchanger is a nonlinear plant with uncertainties, considering the difference between the heat fluid, the heated fluid, and other complex factors. The fractional order derivation model is more accurate than the traditional integer order model. In this paper, a parallel fractional order derivation model is proposed by considering the merit of the graphics processing unit (GPU). Then, the parallel fractional order derivation model for the spiral-plate heat exchanger is constructed. Simulations show the relationships between the output temperature of heated fluid and the orders of fractional order derivatives with two directional fluids impacted by complex factors, namely, the volume flow rate in hot fluid, and the volume flow rate in cold fluid, respectively.

A high order derivation method for distribution network transient data

Nowadays, high-order data needs to be processed quickly and accurately by various algorithms in distribution networks. It is difficult to ensure the accuracy of calculation both in low-order and high-order cases, due to the theoretical limitations of traditional high-order derivation methods. Aimed to improve the calculation accuracy, a new high-order derivative method based on the polynomial fitting is proposed in this paper. By analyzing the transient characteristics of voltage and current signals in the distribution network, the base fitting-function can be selected, and the coefficient of the base function can be obtained to fit the objective function by the least square method. The original discrete data will be replaced by new fitting-function for derivative operation, which not only ensures the anti-interference ability, but also overcomes the limitations of the traditional polynomial fitting method in high-order cases. The simulation results show that this method has high accuracy in high-order and low-order cases, and has good accuracy and anti-interference ability.

On Fitting Ideals of Kahler Differential Module

Let k be an algebraically closed field of characteristic zero, and R / I and S / J be algebras over k . Ω 1 ( R / I ) and Ω 1 ( S / J ) denote universal module of first order derivation over k . The main result of this paper asserts that the first nonzero Fitting ideal Ω 1 ( R / I ⊗ k S / J ) is an invertible ideal, if the first nonzero Fitting ideals Ω 1 ( R / I ) and Ω 1 ( S / J ) are invertible ideals. Then using this result, we conclude that the projective dimension of Ω 1 ( R / I ⊗ k S / J ) is less than or equal to one.

The Syntax of Word Order Derivation and Agreement in Najrani Arabic: A Minimalist Analysis

The paper aims to explore word order derivation and agreement in Najran Arabic (henceforth, NA) and examines the interaction between the NA data and Chomsky’s (2001, 2005) Agree theory which we adopt in this study. The objective is to investigate how word order occurs in NA and provide a satisfactorily unified account of the derivation of SVO and VSO orders and agreement in the language. Furthermore, the study shows how SVO and VSO word orders are derived morpho-syntactically in NA syntax and why and how the derivation of SVO word order comes after that of VSO order. We assume that the derivation of the unmarked SVO in NA takes place after applying a further step to the marked VSO. We propose that the default unmarked word order in NA is SVO, not VSO. Moreover, we propose that the DP which is base-generated in [Spec-vP] is a topic, not a subject. We adopt Rizzy’s split-CP hypothesis on the basis of which we assume the existence of a Top Phrase (TopP) projection in the clause structure of NA. We postulate that the phase head C passes its ϕ-features to the functional head T and the Edge feature to TopP. We assume that T in VSO lacks the Edge feature which motivates movement of the subject DP to [Spec-TP]. As a consequence, the subject of VSO structure remains in situ in the subject position of [Spec-vP]. In addition, it explores subject-verb agreement asymmetry (henceforth, SVAA) and shows that the asymmetry in NA is not related to word order differences but rather to gender agreement differences.

NEAR-RING PRIMA DAN SEMIPRIMA YANG DILENGKAPI DENGAN DERIVATIF

Let 𝑁 be a semiprime near-ring with 𝑑 derivations of 𝑁. Derivations are referred to group additive endomorphism with multiplication operating of 𝑑(𝑥. 𝑦)= 𝑥𝑑(𝑦)+ 𝑑(𝑥)𝑦 = 0� for each 𝑥, 𝑦 ∈ 𝑁. This paper gives sufficient conditions on a subset near-ring order derivation of each of its members is equal to 0. Let N be a semiprime near-ring and A�N such that 0 ∈ 𝐴,𝐴. 𝑁 ⊆ 𝐴 and d derivation of N. The purpose of this paper is to prove that if d acts as a homomorphism on A or as an anti-homomorphism on then d(A) = 0

On the range of nth order derivations acting on commutative Banach positive squares ℓ-algebras

In this paper we prove that the image of a nth order derivation on real commutative Banach ℓ-algebras with positive squares is contained in the set of nilpotent elements.

Research on Modification Algorithm of Cubic B-Spline Curve Interpolation Technology

Based on cubic B-Spline curve mathematical properties, theoretical analysis the cubic B-Spline curve recursive formula of Taylor development of first-order, derivation of two order in the interpolation cycle under the condition of certain interpolation increment only and interpolation speed, change the interpolation increments can be amended cubic times B-Spline curves purpose The simulation results show that meet the high-speed and high-accuracy NC machine tool require-ments of CNC systems.