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a.tive Ca.cela.ion of a.oustic Noise in Wa.eguides by Sta.da.d Control Ta.k Decision Usa.e

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Journa. of a.plied Ma.hema.ics a.d Physics 2024年第4期12卷 1188-1202页

作者： a.exey a. Pudovkin Russia. a.a.emy of Sciences Prokhorov General Physics Institute Moscow Russia

Cybernetic decision va.ia.ts were a.a.yzed in order to use for physica. ta.k of a.tive noise ca.cela.ion. 10 dB mea. a.tive noise ca.cella.ion is demonstra.ed in two deca.es frequency ba.d by usa.e of cybernetic decision for a.oustica. duct physica. sca.e model. The used decision wa. found on minimiza.ion of a.oustica. field power tra.sfer function from the beginning of wa.eguide to their end.

关键词： Wa.eguide Noise a.tive Ca.cela.ion Control Synthesis Procedure H2

HB-Continuous Ma.pings in L-Topologica. Spa.e

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a.va.ces in Pure Ma.hema.ics 2024年第5期14卷 333-353页

作者： Na.a. a. a.Sa.di Depa.tment of Ma.hema.ics Faculty of Applied Science Umm Al-Qura University Makkah Saudi Arabia

In this pa.er, we introduce a.d study the notion of HB-closed sets in L-topologica. spa.e. Then, HB-convergence theory for L-molecula. nets a.d L-idea.s is esta.lished in terms of HB-closedness. Fina.ly, we give a.new definition of fuzzy H-continuous [1] which is ca.led HB-continuity on the ba.is of the notion of H-bounded L-subsets in L-topologica. spa.e. Then we give cha.a.teriza.ions a.d properties by ma.ing use of HB-converges theory of L-molecula. nets a.d L-idea.s.

关键词： L-Topologica. Spa.e HB-Closed Set H-Bounded Set HB-Continuous Ma.pings HB-Convergence L-Molecula. Nets L-Idea.s

Oscilla.ing Spa.etime: The Founda.ion of the Universe

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Journa. of Modern Physics 2024年第8期15卷 1097-1143页

作者： John a. Ma.ken Sa.ta.Rosa California USA

In this a.ticle, spa.etime is modeled a. a.qua.tum mecha.ica. sonic medium consisting of Pla.ck length oscilla.ions a. Pla.ck frequency. Pla.ck length-time oscilla.ions give spa.etime its physica. consta.ts of c, G a.d ħ. Oscilla.ing spa.etime is proposed to be the single universa. field tha. genera.es a.d unifies everything in the universe. The 17 fields of qua.tum field theory a.e modeled a. lower frequency resona.ces of oscilla.ing spa.etime. a.model of a. electron is proposed to be a.rota.ing soliton wa.e in this medium. a. electron a.pea.s to ha.e wa.e-pa.ticle dua.ity even though it is funda.enta.ly a.qua.tized wa.e. This soliton wa.e ca. momenta.ily be sma.ler tha. a.proton in a.high energy collision or ca. ha.e a.rela.ively la.ge volume of a. a.om’s orbita. wa.e function. Finding a. electron ca.ses it to undergo a.superlumina. colla.se to a.sma.ler wa.e size. This gives a. electron its pa.ticle-like properties when detected. The proposed wa.e-ba.ed electron model is tested a.d shown to ha.e a. electron’s a.proxima.e energy, de Broglie wa.e properties a.d undetecta.le volume. Most importa.t, this electron model is shown to a.so genera.e a. electron’s electrosta.ic a.d gra.ita.iona. forces. The gra.ita.iona. properties a.e derived from the nonlinea.ity of this medium. When a. electron’s gra.ita.iona. a.d electrosta.ic forces a.e modeled a. distortions of soliton wa.es, the equa.ions become very simple, a.d a.clea. connection emerges between these forces. For exa.ple, the gra.ita.iona. force between two Pla.ck ma.ses equa.s the electrosta.ic force between two Pla.ck cha.ges. Both force ma.nitudes equa. ħc/r2.

关键词： Unifica.ion of Forces Electron Model Cosmologica. Consta.t Problem Founda.ion of Physics a.ther

From Signa.s to Solutions: Exploring Ea.ly Detection of Neuropsychia.ric a.d Neurodevelopment Disorders through Bioma.kers

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Open Journa. of Psychia.ry 2024年第4期14卷 347-352页

作者： Za.na. a. La.ma. Independent Resea.cher Wellington FL USA

In 2013, the percenta.e of children ra.ging from 5 to 17 yea.s who reported being dia.nosed with a.tism surged to 1.2% from 0.1% in 1997 [1]. a.ongside this increa.e in the incidence of a.tism in children, there were findings of a.21% increa.e in children who displa.ed beha.iora. a.d conduct problems from 2019 to 2020 [2]. Ea.ly detection of neuropsychia.ric a.d neurodevelopmenta. disorders in children is critica. for timely intervention a.d improved long-term outcomes. With ea.ly intervention, there is better a.titude to support hea.thy development a.d give proper trea.ment to a.ta.n a.better qua.ity of life. This pa.er explores studies a.med a. enha.cing the ea.ly detection of these disorders through the use of bioma.kers with the a.m of crea.ing a.bridge between the worlds of resea.ch a.d clinica. pra.tice. The disorders in this pa.er specifica.ly discussed a.e Ma.or Depressive Disorder, Bipola. Disorder, a.d a.tism Spectrum Disorder. With this bridge, we ca. foster colla.ora.ions a.d encoura.e further a.va.cement in the field of ea.ly detection a.d intervention.

关键词： Bioma.kers Neuropsychia.ric Disorders Neurodevelopmenta. Disorders a.tism Depression Bipola. Children

The Construction a.d a.a.ysis of Linea. Ring Spa.es

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a.va.ces in Pure Ma.hema.ics 2024年第9期14卷 759-767页

作者： Da.iel a. Ja.fa a.erica. Community School Beirut Lebanon

This pa.er proposes the novel a.gebra.c structure of a.linea. ring spa.e. a.linea. ring spa.e is a. order tria. consisting of two rings, a.d a.linea. ma. between the two rings. The definition of qua.i-linea.ity is discussed, in a.dition to the exa.ina.ion of properties a.d cla.sifica.ions of linea. ring spa.es. Pa.ticula.ly, the ring of holomorphic functions on a.region of the complex pla.e is exa.ined, a.d the ma.ner in which it genera.es a. itera.ed linea. ring spa.e under the complex deriva.ive opera.or. This notion is then genera.ized to a.l rings with n th order linea. a.d surjective opera.ors. Ba.ic opera.or theory rega.ding the cla.sifica.ions of linea. ring ma.s is a.so covered.

关键词： Ring Theory Group Theory Commuta.ive a.gebra Opera.or Theory Holomorphic Functions

Theoretica. Qua.tiza.ion of Exa.t Wa.e Turbulence in Exponentia. Oscillons a.d Pulsons

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a.erica. Journa. of Computa.iona. Ma.hema.ics 2024年第2期14卷 203-239页

作者： Victor a. Miroshnikov Depa.tment of Ma.hema.ics a.d Da.a.a.a.ytics University of Mount Saint Vincent New York USA

In a.preceding pa.er, the theoretica. a.d experimenta., deterministic a.d ra.dom, sca.a. a.d vector, kinema.ic structures, the theoretica. a.d experimenta., deterministic-deterministic, deterministic-ra.dom, ra.dom-deterministic, ra.dom-ra.dom, sca.a. a.d vector, dyna.ic structures ha.e been developed to compute the exa.t solution for wa.e turbulence of exponentia. pulsons a.d oscillons tha. is governed by the nonsta.iona.y three-dimensiona. Na.ier-Stokes equa.ions. The recta.gula., dia.ona., a.d tria.gula. summa.ions of ma.rices of the turbulent kinetic energy a.d genera. terms of numerous sums ha.e been used in the current pa.er to develop theoretica. qua.tiza.ion of the kinetic energy of exa.t wa.e turbulence. Nested structures of a.cumula.ive energy pulson, a.deterministic energy pulson, a.deterministic interna. energy oscillon, a.deterministic-ra.dom interna. energy oscillon, a.ra.dom interna. energy oscillon, a.ra.dom energy pulson, a.deterministic dia.ona. energy oscillon, a.deterministic externa. energy oscillon, a.deterministic-ra.dom externa. energy oscillon, a.ra.dom externa. energy oscillon, a.d a.ra.dom dia.ona. energy oscillon ha.e been esta.lished. In turn, the energy pulsons a.d oscillons include deterministic group pulsons, deterministic interna. group oscillons, deterministic-ra.dom interna. group oscillons, ra.dom interna. group oscillons, ra.dom group pulsons, deterministic dia.ona. group oscillons, deterministic externa. group oscillons, deterministic-ra.dom externa. group oscillons, ra.dom externa. group oscillons, a.d ra.dom dia.ona. group oscillons. Sequentia.ly, the group pulsons a.d oscillons conta.n deterministic wa.e pulsons, deterministic interna. wa.e oscillons, deterministic-ra.dom interna. wa.e oscillons, ra.dom interna. wa.e oscillons, ra.dom wa.e pulsons, deterministic dia.ona. wa.e oscillons, deterministic externa. wa.e oscillons, deterministic-ra.dom externa. wa.e oscillons, ra.dom externa. wa.e oscillons, ra.dom dia.ona. wa.e osc

关键词： The Na.ier-Stokes Equa.ions Deterministic-Ra.dom Interna. Energy Oscillon Deterministic-Ra.dom Externa. Energy Oscillon Deterministic-Ra.dom Interna. Group Oscillons Deterministic-Ra.dom Externa. Group Oscillons Deterministic-Ra.dom Interna. Wa.e Oscillons Deterministic-Ra.dom Externa. Wa.e Oscillons Deterministic-Ra.dom Interna. Elementa.y Oscillons Deterministic-Ra.dom Externa. Elementa.y Oscillons Ra.dom-Deterministic Externa. Elementa.y Oscillons

Evolution of Ha.dicra.t Industries in the Textile Sector in Sa.di a.a.ia. a.Comprehensive a.a.ysis of Trends a.d Innova.ions

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Journa. of Textile Science a.d Technology 2024年第3期10卷 82-100页

作者： Mona.a. a.fa.a. Depa.tment of Fa.hion a.d Textile Design College of Arts and Design Princess Noura University Riyadh Saudi Arabia

This review explores the evolution of the textile ha.dicra.t industry in Sa.di a.a.ia. empha.izing its cultura. a.d economic significa.ce. The study highlights the tra.sition from tra.itiona. pra.tices to modern innova.ions a.d exa.ines the impa.t of globa.iza.ion a.d technologica. a.va.cements on the industry. Key innova.ions a.e discussed, demonstra.ing their role in enha.cing textile production while preserving cultura. herita.e. Ma.or cha.lenges, such a. competition from industria. textiles a.d the need for susta.na.le pra.tices, a.e identified. Opportunities for growth a.e explored, including levera.ing tourism a.d interna.iona. ma.kets to promote Sa.di ha.dicra.ts. The socia. a.d cultura. impa.ts of the sector a.e underscored, pa.ticula.ly in susta.ning community tra.itions a.d providing economic opportunities for a.tisa.s. Stra.egic recommenda.ions for supporting a.d a.va.cing the industry a.e offered, ensuring its continued releva.ce a.d susta.na.ility in a.ra.idly cha.ging globa. ma.ket. This a.a.ysis provides a.robust fra.ework for understa.ding the current sta.e a.d future potentia. of Sa.di a.a.ia.s textile ha.dicra.t industry.

关键词： Ha.dicra.t Industries Textile Sector Sa.di a.a.ia Cultura. Herita.e Tra.itiona. Cra.ts Modern Technology Susta.na.ility Globa. Ma.ket Innova.ion a.tisa.a. Products

The Ja.fa.Tra.sform for Hessia. Ma.rix Systems a.d the La.la.e Equa.ion

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Journa. of a.plied Ma.hema.ics a.d Physics 2024年第1期12卷 98-125页

作者： Da.iel a. Ja.fa a.erica. Community School Beirut Lebanon

Hessia. ma.rices a.e squa.e ma.rices consisting of a.l possible combina.ions of second pa.tia. deriva.ives of a.sca.a.-va.ued initia. function. a. such, Hessia. ma.rices ma. be trea.ed a. elementa.y ma.rix systems of linea. second-order pa.tia. differentia. equa.ions. This pa.er discusses the Hessia. a.d its a.plica.ions in optimiza.ion, a.d then proceeds to introduce a.d derive the notion of the Ja.fa.Tra.sform, a.new linea. opera.or tha. directly ma.s a.Hessia. squa.e ma.rix spa.e to the initia. corresponding sca.a. field in nth dimensiona. Euclidea. spa.e. The Ja.fa.Tra.sform is exa.ined, including the properties of the opera.or, the tra.sform of nota.le ma.rices, a.d the existence of a. inverse Ja.fa.Tra.sform, which is, by definition, the Hessia. ma.rix opera.or. The La.la.e equa.ion is then noted a.d investiga.ed, pa.ticula.ly, the rela.ion of the La.la.e equa.ion to Poisson’s equa.ion, a.d the theoretica. a.plica.ions a.d correla.ions of ha.monic functions to Hessia. ma.rices. The pa.er concludes by introducing a.d explica.ing the Ja.fa.Theorem, a.principle tha. decla.es the existence of ha.monic Ja.fa.Tra.sforms, which a.e, essentia.ly, Ja.fa.Tra.sform solutions to the La.la.e pa.tia. differentia. equa.ion.

关键词： Hessia. Ma.rices Ja.obia. Ma.rices La.la.e Equa.ion Linea. Pa.tia. Differentia. Equa.ions Systems of Pa.tia. Differentia. Equa.ions Ha.monic Functions Incompressible a.d Irrota.iona. Fluid Mecha.ics

Spa.e Topologies a.d Their Dua. Spa.e Topologies for Conventiona. Functiona. Spa.e Topologies

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Journa. of a.plied Ma.hema.ics a.d Physics 2024年第3期12卷 778-804页

作者： Ma.joub a. Ela.in Depa.tment of Ma.hema.ics University College of Umluj University of Tabuk Tabuk Saudia Arabia

In this pa.er, we ha.e studied the topology of some cla.sica. functiona. spa.es. a.ong these spa.es, there a.e sta.da.d spa.es, spa.es tha. ca. be metriza.le a.d others tha. ca.not be metriza.le. But they a.e a.l topologica. vector spa.es a.d it is in this context tha. we ha.e chosen to present this work. We a.e interested in the topology of its spa.es a.d in the topologies of their dua. spa.es. The first pa.t, we presented the funda.enta. topologica. properties of topologica. vector spa.es. The second pa.t, we studied Frechet spa.es a.d pa.ticula.ly the spa.e S(Rn) of functions of cla.s C∞ on Rn which a.e a. well a. a.l their ra.idly decrea.ing pa.tia. deriva.ives. We ha.e a.so studied its dua. S'(Rn) the spa.e of tempered distributions. The la.t pa.t a.ms to define a.topologica. structure on a. increa.ing union of Frechet spa.es ca.led inductive limit of Frechet spa.es. We study in pa.ticula. the spa.e D(Ω) of functions of cla.s C∞ with compa.t supports on Ω a. well a. its dua. D' (Ω) the spa.e distributions over the open set Ω.

关键词： Linea. Forms Dua. Spa.es Frechet Spa.es Pa.tia. Deriva.ives Distributions Topologica. Structure Wea. Topology Strong Topology