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# Density Functional Theory The purpose of this note is to better understand the slides shown during the lectures, and include more content, for what time is not always available. This note ...

*probability theory ==Background of Quantum Theory== ...

''A graduate course on conformel field theory (CFT), with 18 hours lectures and 18 hours tutorials.'' ...nstraints or assumptions, we obtain CFTs such as minimal models, Liouville theory and loop models. We also introduce CFTs that have extra symmetries beyond c ...

...math>--spectrum one is able to canonically define an associated cohomology theory; thus, one defines the cohomology groups of a CW-complex <math>K</math> ass ...lexes and basepoint preserving maps; furthermore, every reduced cohomology theory on CW complexes arises in this manner from an <math>\Omega</math>-spectrum ...

...math>--spectrum one is able to canonically define an associated cohomology theory; thus, one defines the cohomology groups of a CW-complex <math>K</math> ass ...furthermore, every reduced [[../CohomologyTheoryOnCWComplexes/|cohomology theory on CW complexes]] arises in this manner from an <math>\Omega</math>-spectru ...

...Predicate/|proposition]] that is neither proven nor demonstrated (within a theory) "but considered to be self-evident"; furthermore, the choice of an axiom o *Axioms of Set theory ...

...] #[[../DualityAndTriality/|Alexander duality]]: J. W. Alexander's duality theory (cca. 1915) ...s]]: dual polyhedron, dual of a planar [[../Cod/|graph]], duality in order theory, ...

#Alexander duality: J. W. Alexander's duality theory (cca. 1915) ...ies: dual polyhedron, dual of a planar [[../Cod/|graph]], duality in order theory, ...

* '''[[Functional analysis/Set theory|Set theory]]''' - ([https://niebert.github.io/Wiki2Reveal/index.html?domain=wikiversit == Use of materials for lectures == ...

== Relation to Homology Theory == ...er|Otto Forster]]: ''Riemann surfaces'', Springer 1977; English edition: ''Lectures on Riemann surfaces'', Graduate Texts in Mathematics, Springer-Verlag, 1991 ...

...hough these two forces appear very different at everyday low energies, the theory models them as two different aspects of the same force. Above the unificati "In [[Draft:Keynote lectures/Radiation|radiation]] theory, the total number of light quanta is not constant. Light quanta are created ...

== A scalar theory of gravitation == ...scalar theory of gravitation from Poth published in 2012/2013 <ref>'A new Theory of Gravitation and its Quantization - Version 1.1', from Hartwig Poth on 20 ...

...ping a [[../SpaceTimeQuantizationInQuantumGravityTheories/|quantum gravity theory]]. These include--but are not limited to-- the following. ...let</math> The Weinberg, ''[[../AntiCommutationRelations/|supergravity]]'' theory, which is consistent with [[../AntiCommutationRelations/|supersymmetry]] an ...

==Theory of regions== [[Category:Abstractions/Lectures]] ...

...iki2Reveal]]-slide in a joined concept or workflow, so that a mathematical theory (e.g. Lemma of Zorn) can (but non compulsory) be maintained at a single pla * '''[[Functional analysis/Set theory|Set theory]]''' - ([https://niebert.github.io/Wiki2Reveal/index.html?domain=wikiversit ...

...avitational; gauge fields; [[../AbelianCategory3/|non-Abelian]] gauge fiel theory Albert Einstein. 1956. ''Relativity Theory'' . NL ...

...[[../ModuleAlgebraic/|algebraic topology]], [[../TrivialGroupoid/|category theory]], and [[../Groupoid/|quantum operator algebras/]] algebraic topology ([[.. Whereas [[../SpaceTimeQuantizationInQuantumGravityTheories/|quantum field theory]] is the general framework for describing the physics of relativistic quant ...

...hysics.us/?op=getobj&from=collab&id=13 Applied Quantum Systems and Quantum Theory Foundations--A PlanetPhysics.org collaboration] ...elementary lectures on [[w:quantum electrodynamics]] and [[w:quantum field theory]], yet containing many insights for the expert. ...

his theory complete, the year before the first (and extremely ...with which Hamilton drew up his account of the work of previous writers (''Lectures'' , Preface) is minutely detailed ...

...o that of the original finite group, and also has a unitary representation theory similar to that of the original finite group. Last-but-not least, a paragro ...tures on the dynamical Yang--Baxter equations, in ''Quantum Groups and Lie Theory (Durham, 1999)'' , pp. 89-129, Cambridge University Press, Cambridge, 2001. ...