... quantum theoryof collisions (so far as it affects thetheory of the transport phenomena in gases), and onthetheoryof conduction and diffusion in ionized gases, in the presence of electric ... in the direction of finding approximate solutions ofthe Boltzmann equation in regions having a thickness ofthe order of a mean free-path. These new solutions were, of course, beyond the ... range. The pioneers in the development ofthe kinetic theoryof gases employed such probability considerations intuitively. Their work laid the foundations of a now very extensive branch of theoretical...
... extension. The restriction of elements of g to L′are automorphisms of L′with L as fixed field (by definition of L). By finite galois theory these are all the elements ofthe galois group of L′/L. ... element of K. Theniαiσiω = 06. Simple extensions37Theorem 5. If e is the exponent and pf the degree of inseparability of finite extension K of k, then e = f ⇐⇒ K/k is simple.Proof. ... automorphism of L′/L comes from anelements of g. IntroductionThere are notes of course of lectures on Field theory aimed at pro-viding the beginner with an introduction to algebraic extensions,...
... predicted on the basis ofthe Nambu equations of motion, and anti-rigid if the correctionterms act to enhance the curvature ofthe world sheet. Numerical simulation of the collapse of a circular ... (1)-invariant,36 The elements of string dynamicsreaction of this field onthe string’s dynamics. The problem of self-consistentlycoupling the gravitational field to the string’s motion is one ofthe most ... Thus there will belittle mention ofthe evolution ofthe primordial string network or its implicationsfor the formation of large-scale structure in the Universe. Although the actualvalue of the...
... )ofcomplex numbers of length 1 considered as a group under multiplication. We give the ori-entation induced from the standard orientation ofthe complex plane, and let ON THE K -THEORY OF LOCAL FIELDS ... withcofibrations and weak equivalences of Cb(A). The inclusion E→Cb(E)ofE as the subcategory of complexes concentrated in degree zero, is an exact functor. The assumptions ofthe fibration Theorem ... suggestions on improving the exposition.1. Topological Hochschild homology and localization1.1. This section contains the construction of TRn(A|K; p). The mainresult is the localization sequence of...
... conductorisE^and that the charges on the other conductorsarezero. The distribution of electrification when the secondconductorischargedand the restunchargedsatisfies the conditionsthat the conductorsareequipotentialsurfaces,that the charge on ... saidtobeelectrifiedbyinduction; the electrification on the metalis saidtobe inducedby the electrification on the stick of sealing-wax. The electrification on the part of the metalnearest the waxis of the kindoppositeto ... the sum of the chargescorrespondingto the twosolutions,i.e.that the charge on the first conductorisEl}that on the secondconductorE2 ,andthat on each of the otherconductorszero.In otherwords, the newdistributionwill be...
... removesobstruction to the circulation as effectually as cutting the string relieves the congestion ofthe finger. When the circulation is perfectly natural through these parts, then the congestion and ... in the care and education of their young. As we know, it is only by the production of new individuals that the continuance ofthe race is assured.=Problems of Reproduction.= The problems of ... are the strongest of nerve tonics, building up, strengthening, and giving tone to the whole nervous system; while otheringredients have the remarkable property of relieving congestion of all the...
... tohypothetical ones, only the valid conditional clause is relevant to the identification of the criminal norm, and therefore the structure ofthe criminal norm contains onlyvalid conditional clauses.A ... liberal concept of law, or the liberallegal concept.26According to this concept, two principal social powers confronteach other in the cont ext of criminal law. The first is the power ofthe sovereign ... required components ofthe criminal norm are present, the criminal sanction may be imposed onthe offender.2.1.2 Criminal Sanction The result of a valid conditional clause is a criminal sanction, which...
... the path of eachvortexwillbebenttowards the direction of motion of the otherwhenitsradius isincreased andawayfrom the direction of motion of the other when its radiusisdiminished,while if the 32 ON THE MOTION OF VORTEXRINGS.Thisformula ... lessthan the velocity of the other resolvedalongitsdirection of motion, the direction of motionwillbebentfrom the direction of the otherwhenitsradiusisincreasedandvice versa. The rules ... the vorticesandequalandoppositeimpulsesto the other;here3and3'are the momenta of the vortices.We thengo on toinvestigate the othereffects of the collision.We findthat the collisionchanges the shapes of the vorticesaswellastheir...
... in the body part, especially in the news plentiful of content and the content expresses the reaction to the news. Like the headline, it attracts the reader’s attentions to the main content of ... And the structure is one ofthe features ofthe news story’s paragraph.According to Do Huu Chau [2]: “Structure is an art ofthe performance on content factors ofthe writers. Structurally, the ... face-to-face interaction. The situation, therefore, must be interfered from the text. Naturally, readers only pay attention to the contents or news ofthe news story, they do not care how the story are...