In this paper we study the geometry of unit ball space operators ${\mathcal L}(X,Y^*)$, by considering projective tensor product $X\hat{\otimes}_{\pi} Y$ as a predual. We prove that if an elementary (rank one operator) form $x_0^*\otimes y_0^* $ in sphere S_{{\mathcal L}(X,Y^*)}$ is $w^*$-strongly extreme point ball, then $x_0^*$ $X^*$ and $y_0^*$ $Y^*$. show similar conclusion holds rank operator weak$^*$-weak continuity for identity mapping on L}(X,Y^*)$. also extremal phenomenon...

This paper presents a method for neural network-based identification and recognition of an extensive variety flora fauna. The system that has been proposed was designed to assist field naturalists, people who take special attention identify patterns exist in the wild various species. Utilizes Digital Naturalist dataset, which created by gathering photos from numerous internet sources camera-captured images. Our solution revolves around Convolutional Neural Network (CNN) employs deep learning...

In recent years the use of techniques from geometric theory Banach spaces in study function has become an important tool and we are happy that this special issue received attention both senior young researchers these areas. We have papers a wide cross-section area, covering existence theorems concerning convolution functions, distributions, ultradistributions Beurling type with supports satisfying suitable compatibility conditions Rayleigh equation two deviating arguments. Application...

In this paper we study the notion of an ideal, which was introduced by Godefroy, Kalton and Saphar in [7] called "locally one complemented" [11], for injective projective tensor products Banach spaces.For a space X ideal Y X, show that product ⊗ ε Z is any Z.This as consequence gives us way proving some known results about intersection properties balls extensions operators on spaces unified does not involve vector-valued Choquet theory.We also exhibit classes every range norm projection....

As power demand is increasing day to life loading on present system also increasing. a result voltage instability occurs with heavily loaded system. So security becomes one of the important aspect where operational engineers need estimate unseen contingency. contingency screening and ranking procedure for line assessment. In this paper done by fast decoupled load flow using performance index i.e., active (PI <inf xmlns:mml="http://www.w3.org/1998/Math/MathML"...

This paper describes a method of computing harmonics and waveforms in HVdc conversion, taking into account interaction with the ac system, dynamically. The perfbrmance filters tuned at nominal frequency is examined when system varies. Computed values harmonic currents voltages are presented influence short circuit ratio demonstrated. Harmonic magnification can occur due to resonance effects, but harmonically stable.

In this paper, motivated by the results published R. Khalil and A. Saleh in 2005, we study notion of<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" id="E1"><mml:mi>k</mml:mi></mml:math>-smooth points id="E2"><mml:mi>k</mml:mi></mml:math>-smoothness, which are dual to id="E3"><mml:mi>k</mml:mi></mml:math>-rotundity. Generalizing these notions combining smoothness with recently introduced of unitary, classes Banach spaces for vector space, spanned state space corresponding a unit...

We study Banach spaces $X$ with subspaces $Y$ whose unit ball is densely remotal in $X$. show that for several classes of spaces, the space compact operators bounded operators. also

Objective: Network security plays a key role for many organizations. Host based and network Intrusion Detection Systems are available in the market depending upon detection technology used by them. The objective of this research paper is maintaining across heterogeneous data from homogeneous sources co-relating ­heterogeneous different using hybrid strategy. Methods/Statistical Analysis: A real time Prevention (IPS), prevents intrusions gathering composing with technologies. Findings:...

Abstract In this paper we give a complete description of diameter-preserving linear bijections on the space affine continuous functions compact convex set whose extreme points are split faces. We also such maps function algebras considered their maximal ideal space. formulate and prove similar results for spaces vector-valued functions.

A Fuzzy logic controller based Shunt Active Power Filter (SAPF) for Hybrid Renewable sources Grid-interconnection has been proposed. SAPF is shunted at the Point of Common Coupling (PCC) with existing power system to have compensation among quality issues. The proposed converter topology also feeding Maximum from PV-Arrays and Wind Energy System into Grid. advancement 4-leg VSI found be more prominent & sufficiently mitigate issues under all Non-Sinusoidal situations. current reference...

In this paper we study the geometry of higher duals a Banach space using techniques from theory $M$-ideals. We show that any is an $M$-ideal in its bidual all even order. As consequence result, continuous linear functionals on such spaces have unique norm preserving extensions to