Partial Least Squares (PLS) is a widely used technique in chemometrics, especially in the case where the number of independent variables is significantly larger than the number of data points. There are many articles on PLS [HTF01, GK86] but the mathematical details of PLS do not always come out clearly in these treatments. This paper is an attempt to describe PLS in precise and simple mathemat...

Hardware-in-the-loop (HIL) simulation is a technique that is used in the development and test of complex process systems. HIL simulation provides an effective platform by adding the complexity of the plant under control to the test platform. The complexity of the plant under control is included in test and development by adding a mathematical representation of all related dynamic systems. These...

The objective of this paper is to analyze entropy based Vendor Selection Problem (VSP) model by using fuzzy mathematical programming and primal-dual geometric programming method. Here we have extended the unconstrained convex programming approach to solve VSP model with inequality constraints without adding artificial variables. By t-norm based fuzzy mathematical programming technique and the d...

The existing article examines the mathematical model (MM) representing electrical engineering (EE). We implement unified technique (UT) to discover new wave solutions (WS) and erect numerous kinds of solitary phenomena (SWP) for studied (SM). SM is one models that have vital applications in area EE. taken features provide a firm framework may be necessary WSs. As an outcome, we get WSs from. Wi...

this paper presents mathematical models of thin layer forced convection solar drying of cuminum cyminum using two drying methods (mixed and indirect) at different operating conditions. the average initial moisture content of the seeds for all tests was about 43% d.b. and the drying was performed continuously, in each test, for a uniform period of 90 minutes drying time in a solar cabinet dryer ...

In this article, the new iterative transform method is applied to evaluate time-fractional Cahn–Allen model solution. technique, Elzaki transformation a mixture of iteration technique. Two problems are studied demonstrate and confirm accuracy proposed The current technique’s mathematical analysis showed that simple understand reliable. These solutions indicate technique advantageous apply in sc...

In this paper we survey a design technique for partitioning on trees. This technique, the shifting algorithm technique, is a top-down greedy technique. A partition of a tree is represented by associating cuts with edges of the tree. The basic operation of the technique is a local transformation called a shift of a cut from an edge to an adjacent edge of the tree. We review several shifting algo...