The participants stated that there are different problems in Turkish textbooks concerning the teaching. It was found that Turkish language teachers and elementary school teachers generally adopted a different teaching approach, and used the text-based, production and conversion, information transfer, and audiencecentred activities. In this study, to check reliability and validity, the statements of participants were transfered directly, participant confirmation and the percent of agreement (approximately % 0, 81) between two researchers were used. Content analysis was utilized for data analysis. What is the Yang-Mills existence and mass gap problem In mathematical physics, the YangMills existence and mass gap problem is an unsolved problem and one of the seven Millennium Prize Problems defined by the Clay Mathematics Institute, which has offered a prize of US1,000,000 to the one who solves it. by mathematical-statistics using analytical functions and distributional invariance as contained in. In this study, a descriptive research design was employed and the participants consisted of 55 Turkish language teachers and elementary school teachers. our proof of the yang-mills mass gap and existence problem a.e. This study aims to bring out the opinions of Turkish language teachers and elementary school teachers about teaching text type and structure. To have such skills gives the student many advantages in the process of comprehending, and evaluating any text. We discuss the implications of this model for QCD with SU(3) color and a gauge-invariant gauge field determined by QCD dynamics.It is important to supply students with skills about text type and structure in educational environments. Yang mills mass gap supersync series#For the case of an SU(2) model of QCD based on the ansatz that the gauge-invariant gauge field is a hedgehog configuration, we show how the infinite series that represents the nonlocal interaction between quark color-charge densities can be evaluated nonperturbatively, without expanding it termby-term. Because of this effect, color-singlet packets of quarks should experience final state interactions that increase in strength as these packets expand in size. We show how the leading part of the interaction between quark color-charge densities vanishes when the participating quarks are in a color singlet configuration, and that, for singlet configurations, the residual interaction weakens as the size of a packet of quarks shrinks. In QCD, this nonlocal interaction also couples quark color-charge densities to gluonic color. The interaction couples one quark color-charge density to another, much as electric charge densities are coupled to each other by the Coulomb interaction in QED. We examine a nonlocal interaction that results from expressing the QCD Hamiltonian entirely in terms of gauge-invariant quark and gluon fields. We check the validity of the construction by showing that Slavnov identities (which express infinitesimal gauge invariance) do hold non-perturbatively. Este problema é um dos requisitos para a prova matemática da teoria quântica de campos de acordo com o modelo padrão de partículas fundamentais. We prove that this combined effect is stabilizing if we use cutoffs of a certain type in momentum space. A comprovação da Existência de Yang-Mills e intervalo de massa é um dos problemas do millenium e continua sem solução. The crucial point is to control (in a non-perturbative way) the combined effect of the functional integrals over small field regions associated to a large background field and of the counterterms which restore the gauge invariance broken by the cutoff. For small fields, a different gauge, more suited to perturbative computations is used this gauge and the corresponding propagator depends on large background fields of lower momenta. The construction exploits the positivity of the axial gauge at large field. We provide the basis for a rigorous construction of the Schwinger functions of the pure SU(2) Yang-Mills field theory in four dimensions (in the trivial topological sector) with a fixed infrared cutoff but no ultraviolet cutoff, in a regularized axial gauge.
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