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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 nth 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

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

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

Sex Determina.ion in Homo sa.iens a. a.Multi-Step Process: Potentia. for Development of Va.ia.ts a.d Sex Differences in Disea.e Risk

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Journa. of Biomedica. Science a.d Engineering 2024年第1期17卷 13-34页

作者： Da.id a. Ha.t Depa.tment of Surgery Faculty of Kinesiology McCaig Institute for Bone & Joint Health University of Calgary Cal-gary Canada

Reproduction via.cis-bina.y mecha.isms a.pea.s to ha.e evolved fa.rly ea.ly in the evolution of complex orga.isms, a.d a.system committed to prior to evolution of huma.s. While the evolution of a.chromosoma.-specific a.proa.h ha. been a.successful stra.egy for surviva. of a.la.ge va.iety of species including huma.s, the fidelity of sex determina.ion lea.ing to 100% cis-bina.y outcomes is not a.hieved in ma.y species, with evidence for homosexua. or bisexua. beha.iour evident in more tha. 1500 species. Thus, such outcomes indica.es tha. sex determina.ion is a.multi-step process a.d not a.single event, a.d a. such, could lea. to the a.pea.a.ce of va.ia.ts during the process which developed much ea.lier tha. huma.s. Va.ia.ts could a.ise either due to intrinsic va.ia.ion in the steps of determina.ion, or a.so be influenced by environmenta. fa.tors of a.biologica. or psychologica. na.ure. In contra.t to homosexua. va.ia.ts which do not require interventions such a. hormone thera.y or surgery, expression of gender dysphoria. is more ba.ed in psychology, but a.so ha. biologica. underpinnings a.d ca. be influenced by such hormona. interventions a.d surgery. While the numbers of those with gender dysphoria.is sma.l (~0.6% - 1.0% of popula.ion), the a.tention given to this issue ra.ses the possibility of biologica. a.d psychologica. environmenta. fa.tors impa.ting the emergence of some of those expressing gender dysphoria. Furthermore, tra.sitioning from ma.e-to-fema.e or fema.e-to-ma.e ca. ha.e consequences rega.ding disea.e risks la.ter in life, including the a.pea.a.ce of a.toimmune disea.es. This review will a.tempt to review some of the evidence rega.ding sex determina.ion, discuss why the system ha. potentia.ly not been improved upon during evolution, how a.potentia. role for sex chromosome function on neurodevelopment ma. be centra. to va.ia.ion in huma.s, a.d how commitment to the current stra.egy is likely integra.ed into other sex-rela.ed events such a. puberty, pre

关键词： Sex Determina.ion Va.ia.t Development Fidelity of Sex Determina.ion Biologica. Sex Determina.ion Species Va.ia.ion

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

Gla.zma.n Thromba.thenia. Ma.a.ing Gingiva. Bleeding Triggered by Tooth Eruption—a.Ra.e Ca.e Report

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Ca.e Reports in Clinica. Medicine 2024年第8期13卷 283-291页

作者： Na.la.a. a.dulra.ma. Mota. a. a.ia.Na.a.a. a.delwa.a. Ma.a. M. Musta.a Depa.tment of Pedia.ric Dentistry University of Khartoum Khartoum Sudan Depa.tment of Pedia.ric Dentistry National Ribat University Khartoum Sudan Depa.tment of Pedia.ric Dentistry a.d Orthodontic Sciences King Khalid University Abha Saudi Arabia

Gla.zma.n thromba.thenia.(GT) is a.ra.e a.d often underdia.nosed congenita. bleeding disorder ca.sed by muta.ions in the genes encoding glycoproteins GPIIb or GPIIIa. resulting in pla.elet dysfunction. Inherited in a. a.tosoma. recessive ma.ner, GT is cha.a.terized by the ina.ility of pla.elets to a.grega.e. Clinica.ly, it presents with mucocuta.eous bleeding, such a. ea.y a.d extensive bruising, severe epista.is, menorrha.ia. gingiva. bleeding, postpa.tum hemorrha.e, a.d unexpected bleeding following procedures, despite a.norma. pla.elet count. We present a.ca.e involving a.6-yea.-old ma.e pa.ient who experienced sponta.eous gingiva. bleeding for the pa.t 4 weeks due to the eruption of his first perma.ent mola.s. The bleeding wa. pa.ticula.ly severe a. night, disrupting the child’s sleep. The pa.ient ha. been dia.nosed with GT a. the a.e of 16 months. Denta. ma.a.ement wa. pursued, a.d the use of tra.exa.ic a.id mouthwa.h, combined with meticulous ora. hygiene, resulted in a. excellent response.

关键词： Gla.zma.n Thromba.thenia Bleeding Tra.exa.ic a.id Epista.is Pla.elet a.grega.ion

Gra.ita.iona. Wa.es Ba.kground, a. Well a. Some UFO, FRB a.d Supernova.Fla.es, a.e Due to Compressibility of the Spa.etime (CoST)

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Journa. of High Energy Physics, Gra.ita.ion a.d Cosmology 2024年第1期10卷 67-70页

作者： Evgeny a. Novikov BioCircuits Institute University of California-San Diego LaJolla CA USA

The recently observed gra.ita.iona. wa.e ba.kground is expla.ned in terms of the qua.tum modifica.ion of the genera. rela.ivity (Qmoger). Some UFO, FRB a.d supernova.fla.es a.so ca. be expla.ned in terms of Qmoger.

关键词： Gra.ita.iona. Wa.e Ba.kground Qua.tum Modifica.ion of the Genera. Rela.ivity Compressibility of the Spa.etime (CoST)