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Topic: Elementary substructure

	Elementary - Wikipedia, the free encyclopedia
		The elementary charge (symbol e or sometimes q) is the electric charge carried by a single proton, or equivalently, the negative of the electric charge carried by a single electron.
		Elementary algebra is the most basic form of algebra taught to students who are presumed to have no knowledge of mathematics beyond the basic principles of arithmetic.
		Elementary matrix transformations or elementary row and column transformations are linear transformations which are normally used in Gaussian elimination to solve a set of linear equations.
	en.wikipedia.org /wiki/Elementary (340 words)

	2 The origins of syntactic structure
		The elementary tree in (24b) is therefore inadequate on factual grounds, or empirically inadequate.
		The elementary tree for transitive eat is analogous to the tree for constructed and is given in (37).
		Elementary trees as in (52) make it possible to derive structures for sentences in which tense is expressed as a bound morpheme on the verb along the same lines as for sentences containing a modal or auxiliary do.
	www.ling.upenn.edu /courses/Spring_2001/ling150/ch2.html (0 words)

	First-order Model Theory (Stanford Encyclopedia of Philosophy)
		Elementary equivalence is an equivalence relation on the class of all L-structures.
		We say that A is an elementary substructure of B, and B is an elementary extension of A, if A is a substructure of B and the inclusion map is an elementary embedding.
		Then D as in the theorem is an elementary extension of A, and by (ii) in the theorem, it must contain elements that are not in A′, so that it is a proper elementary extension.
	plato.stanford.edu /entries/modeltheory-fo (0 words)

	[No title]
		It seems as though the more elementary the level of analysis, the larger the number of particles and fundamental constants needed, the more complicated the structure of the theory, and the more uncertain the predictions derived from it.
		Assume that we have a substructure of the complex which is relatively invariant, i.e.
		If the substructure is intrinsically very stable, then the process of mutation will be very rare or unlikely, whereas the process of recombination may happen continuously without affecting the survival of the substructure.
	pespmc1.vub.ac.be /papers/BuildingComplexity.html (0 words)

	Theory: Fundamental Particles (SLAC VVC)
		These elementary particles are all made from quarks and/or antiquarks.
		Today, quarks and leptons, and their antiparticles, are candidates for being the fundamental building blocks from which all else is made.
		In the modern theory, known as the Standard Model there are 12 fundamental matter particle types and their corresponding antiparticles.
	www2.slac.stanford.edu /vvc/theory/fundamental.html (0 words)

	A New Force in Nature (Site not responding. Last check: 2007-10-12)
		A multinational team of physicists, including a group of TAU researchers, may have discovered a deviation from the Standard Model in particle physics, which if confirmed might become the most important discovery of the past two decades in the field.
		Physicists are constantly trying to identify even more elementary particles of matter, and the forces that operate between them.
		Positrons (a type of lepton) and protons (complex particles consisting of quarks) were accelerated in a 6.3 km tunnel, each in a separate ring, and made to collide at two points where measurement detectors had been set up.
	www.tau.ac.il /taunews/97spring/nature.html (0 words)

	Mitochondrial Substructure (Site not responding. Last check: 2007-10-12)
		This molecule is found in small elementary particles that project from the cristae.
		Structure and function of the inner membrane and elementary particles.
		This reflects the orientation of cytochrome C. It is found in space inbetween cristae membranes which suggests it is next to the outer leaflet of the cristae membrane, rather than the inner leaflet (opposite to that of the elementary particles, or ATP synthetase).
	cellbio.utmb.edu /cellbio/mitochondria_1.htm (0 words)

	Linné on line - Do quarks have a substructure?
		If this would be the case then they are, of course, not elementary particles but would themselves consist of a new type of even smaller elementary particles, sometimes called preons.
		On the other hand, this does not mean that we can exclude a substructure on a level which we cannot measure today.
		The conclusion for the time being is therefore that the particles we call elementary are really elementary.
	www.linnaeus.uu.se /online/phy/microcosmos/quark_substructure.html (0 words)

	Fundamental Particles
		The words "elementary" and "fundamental" mean that the particle has no substructure.
		Protons and neutrons were found to have substructure.
		There are four elementary forces or interactions between particles - strong (hold the quarks together to form neutrons and protons), weak (help heavy particles to decay), electromagnetic (holds electrons to atomic nucleus) and gravitational.
	www.suite101.com /article.cfm/science_surfing/112697 (0 words)

	Introduction to String Theory
		That is to say, although strings have extent in space, they are not made up of anything else - they are the last level of the sub-structure of the universe.
		However, there are subtle theoretical suggestions that strings may in fact have a substructure in their own right, thereby simultaneously destroying their chance at being the "fundamental" components of the universe and opening fascinating new doors of intricate theoretical physics.
		In other words, an elementary particle's precise properties are caused by the vibrations of its string.
	library.thinkquest.org /27930/stringtheory1.htm (0 words)

	PlanetMath: (Site not responding. Last check: 2007-10-12)
		elementary abelian (in elementary abelian group) owned by yark
		elementary substructure (in elementary embedding) owned by Henry
		elementary symmetric polynomial in terms of power sums owned by rspuzio
	planetmath.org /encyclopedia/E (0 words)

	First-order Model Theory (Stanford Encyclopedia of Philosophy/Winter 2003 Edition)
		For example the substructure of the field R generated by the number 1 consists of 1, 0 (since it is named by the constant 0), 1+1, 1+1+1 etc., -1, -2 etc., in other words the ring of integers.
		is a sequence (of any length) of L-structures such that any structure in the sequence is an elementary substructure of all the later structures in the sequence.
		for the structures B and C in the elementary amalgamation theorem.
	www.science.uva.nl /~seop/archives/win2003/entries/modeltheory-fo (0 words)

	Information For the Public
		Today's experiments use powerful particle accelerators to explore the deepest substructure of matter, the particles and forces inside the proton and neutron of the atom's nucleus.
		Decades of research have now given us a remarkably simple theoretical model of the elementary particles and forces of matter.
		The discovery of the top quark at Fermilab in March, 1995, provided strong evidence for the Standard Model, the prevailing theory that describes the elementary particles and forces.
	www-numi.fnal.gov /public/standardmodel.html (0 words)

	The Elementary Particles
		However, many aspects of cosmology are still being developed, and additional elementary particles of higher mass may be discovered in the near future with the next generation of particle accelerators.
		The elementary particles known today are divided into three families.
		However, atoms have a substructure in their own right - they are made of a negatively charged electron cloud surrounding a positively-charged nucleus.
	library.thinkquest.org /27930/particles.htm (0 words)

	New Set Theory
		The required non-rigidity seems to be (at least) the existence of a nontrivial elementary embedding of V into M if the cardinals existed.
		Such embedding raises the question as to why the universe is V rather than M; metaphorically speaking, such embedding implies that V is not held together by its structure.
		A natural hypothesis is that as one reaches higher and higher levels of reflection, the properties of the ordinals converge.
	web.mit.edu /dmytro/www/NewSetTheory.htm (0 words)

	Dr. Evans Blog » Elementary Particle Theory (Site not responding. Last check: 2007-10-12)
		As we know, standard theory of elementary particles is no first principles theory.
		This is important to make a connection to contemporary research areas, but a fundamental solution to the elementary particle problem would look different to my opinion.
		It may come out that for a proton there is a three part substructure which can be interpretet as quarks for example.
	www.atomicprecision.com /blog/2006/09/30/elementary-particle-theory (0 words)

	Leptons? Quarks? What Are Elementary Particles Anyway? (Site not responding. Last check: 2007-10-12)
		We like to think that we are exploding the properties of elementary particles when we study electrons and quarks; however, we don't know.
		Whenever, we have observed similar organizations in the past, we have found an underlying substructure.
		The search for elementary particles is really the quest for understanding the nature of matter.
	www.physics.uc.edu /~johnson/quarks.html (0 words)

	Expt. VI-9 Standard Model
		He proposed that a transformation occurs in which a neutron disappears and in its place are formed a proton, an electron, and the electron's antineutrino, the latter two are and not bound by the nuclear force and so are ejected:
		This was the first theory for any process where one of the conserved elementary particles was required to change.
		Note that these meson exchange particles where originally proposed as elementary particles by Yukawa but, according to the Standard Model, they are no longer considered the boson responsible for what is now called the strong force.
	homepage.mac.com /dtrapp/ePhysics.f/labVI_9.html (0 words)

	Abstracts for seminar talks at the KGRC
		We introduce finitary abstract elementary classes, a subclass of abstract elementary classes with many good properties.
		One of the strongest large cardinal axioms we have posits the existence of an elementary embedding j from V_\lambda to V_\lambda for some limit ordinal \lambda.
		A peculiarity of it is that one such j will generate infinitely many more, not only through composition but also through the process of applying oneembedding to the graph of another.
	www.logic.univie.ac.at /abstracts.html (0 words)

	[No title]
		You may have remarked that arrows were introduced as elementary subjects, whereas the connection relation was defined as a predicate attributed to the arrows, apparently in contradiction with our objective of creating a language that is not based on a subject-predicate scheme.
		In the language of classical physics an elementary physical system is either a "particle" or a "wave": it cannot be both.
		The main advantage of this structural language is that its descriptions start directly with the level of dynamics, with the elementary processes and the irreducible patterns they form, whereas the conventional description reduces this dynamical, holistic world to a combination of independent, static pieces.
	pespmc1.vub.ac.be /Papers/StructLang.html (0 words)

	Elementary substructure - Wikipedia, the free encyclopedia (via CobWeb/3.1 planetlab3.cs.uoregon.edu) (Site not responding. Last check: 2007-10-12)
		In model theory, given two structures M and N in the same language L, we say that M is an elementary substructure of N (notated sometimes M < N) if
		We say N is an elementary extension of M if and only if M is an elementary substructure of N.
		, whether M is an elementary substructure of N.
	en.wikipedia.org.cob-web.org:8888 /wiki/Elementary_substructure (0 words)

	nucleon concept from the Astronomy knowledge base (Site not responding. Last check: 2007-10-12)
		physical object > natural object > particle > elementary particle > hadron > baryon > nucleon
		Despite being electrically neutral, the neutron possesses both an electric dipole moment (as if it were made of positive and negative charges separated a minute distance) and a magnetic moment, indicating some internal substructure., A neutral baryon., A nuclear particle with a mass slightly greater than that of a proton.
		The proton's mass is 938.3 MeV, slightly less than that of the neutron., A positively charged elementary particle; the nucleus of a hydrogen atom.
	www.site.uottawa.ca:4321 /astronomy/nucleon.html (0 words)

	Physics 714
		Now they are concerned with the substructure of nucleons (quarks and possible substructure to quarks), leptons (electrons and their elusive partners, the neutrinos) and the strong, weak, electromagnetic and gravitational forces that govern their behavior.
		In this approach we follow the textbook very closely, skipping only small portions in order to complete the material in one semester.
		Text: "Introduction to Elementary Particles" by David Griffiths, John Wiley and Sons, Inc. (1987).
	www-unix.oit.umass.edu /~phys714 (0 words)

	neutron concept from the Astronomy knowledge base (Site not responding. Last check: 2007-10-12)
		physical object > natural object > particle > elementary particle > hadron > baryon > nucleon > neutron
		Free neutrons decay slowly via the weak nuclear force.
		Despite being electrically neutral, the neutron possesses both an electric dipole moment (as if it were made of positive and negative charges separated a minute distance) and a magnetic moment, indicating some internal substructure.
	www.site.uottawa.ca:4321 /astronomy/neutron.html (0 words)

	Berkeley Lake Elementary School Home Page (Site not responding. Last check: 2007-10-12)
		Any emergency communication should be directed to the school's main telephone:
		Berkeley Lake Elementary* wishes to meet the needs of all our students and families.
		If any member of your family needs assistance or has any questions regarding mobility impaired issues or handicapped access, please contact our office at 770 446-0947.
	www.gwinnett.k12.ga.us /BerkeleyLakeES (0 words)

	Skolem hull information - Search.com (via CobWeb/3.1 planetlab3.cs.uoregon.edu) (Site not responding. Last check: 2007-10-12)
		A Skolem hull is a construction from mathematical logic.
		Given a structure S (with some set of properties and relations) the Skolem hull of S is the "smallest" elementary substructure of S.
		More precisely, for any existential formula (without parameters) satisfied in S, the hull contains some element of S satisfying the formula, and every element of the hull satisfies some existential formula.
	search.com.com.cob-web.org:8888 /reference/Skolem_hull (0 words)

	Amazon.com: A Shorter Model Theory: Books: Wilfrid Hodges (Site not responding. Last check: 2007-10-12)
		Key Phrases: relativised reduct, cofinal substructure, strongly minimal formula, Abraham Robinson, Cambridge University Press, New York (more...
		This is an up-to-date textbook of model theory taking the reader from first definitions to Morley's theorem and the elementary parts of stability theory.
		Besides standard results such as the compactness and omitting types theorems, it also describes various links with algebra, including the Skolem-Tarski method of quantifier elimination, model completeness, automorphism groups and omega-categoricity, ultraproducts, O-minimality and structures of finite Morley rank.
	www.amazon.com /Shorter-Model-Theory-Wilfrid-Hodges/dp/0521587131 (0 words)

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