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Topic: Intersection theory


  
  Springer Online Reference Works
The theory of intersections of algebraic subvarieties and cycles.
Another application of intersection theory is related to the foundations of Schubert's geometric calculus [3].
A more refined intersection theory has been developed by Fulton and R.
eom.springer.de /I/i052040.htm   (562 words)

  
  Intersection (set theory) Encyclopedia   (Site not responding. Last check: )
In mathematics, the intersection of two sets A and B is the set that contains all elements of A that also belong to B (or equivalently, all elements of B that also belong to A), but no other elements.
The number 9 is not in the intersection of the set of prime numbers {2, 3, 5, 7, 11, …} and the set of odd numbers {1, 3, 5, 7, 9, 11, …}.
A critical anti-racist interrogation of voluntary/forced repatriation theory: the intersections of African refugees' dilemma.
www.hallencyclopedia.com /topic/Intersection_(set_theory).html   (848 words)

  
 Intersection for the Arts - Workshops & Classes
Intersection's Education Program cultivates artistic and informative environments where personal and collective ideas and projects generate larger, more inclusive worldviews and broader aesthetic, social, political, and cultural perspectives.
Born and raised in the Philippines, Jessica Hagedorn is celebrated for her bold, energetic and tragicomic examinations of Filipino and Filipino-American experience in a wide variety of genres, including fiction, theater, poetry and performance art.
Intersection can be a resource for the intern to learn about any and all facets of arts and nonprofit management.
www.theintersection.org /resource_classes.php   (1205 words)

  
  Intersection (set theory) - Wikipedia, the free encyclopedia
In mathematics, the intersection of two sets A and B is the set that contains all elements of A that also belong to B (or equivalently, all elements of B that also belong to A), but no other elements.
The intersection of A and B is written "A ∩ B".
The intersection of A, B, C, and D, for example, is A ∩ B ∩ C ∩ D = A ∩ (B ∩ (C ∩ D)).
en.wikipedia.org /wiki/Intersection_(set_theory)   (674 words)

  
 Deadlines and Domination
The goals of this section are to: 1) explicitly state the diversity/representation theory under which newspaper executives say they are operating; 2) background that with a condensed overview of feminist and racial formation theories; and 3) detail why intersection theory yields the best explanation of how race and gender are subjugated at American newspapers.
What this theory does not account for is over 200 years of gender and race relations that: 1) subtly influence the ability of women and minorities to represent their kind in print, and 2) shape the willingness of white male editors to give them that power.
In fact, intersection theory and my newsroom experience leads me to hypothesize that the actual manner in which race and gender are treated in newsrooms and news columns is much closer to Amott and Matthlaei's model than to ASNE's diversity theory.
www.uwec.edu /mdorsher/dominate/domtheor.html   (1924 words)

  
 Abstracts for What is Algebraic Geometry?
This talk is intended as a brief introduction to certain aspects of the theory of algebraic curves and surfaces.
Intersection theory is a big subject that has played an important role in algebraic geometry, and any attempt at a comprehensive introduction in 90 minutes would surely fail.
For a more general orientation in the subject with good historical context, one might wish to read Fulton's "Introduction to intersection theory in algebraic geometry." Fulton's other book cited in the references is the standard in the subject, and the other texts listed offer additional points of view.
www.ima.umn.edu /2006-2007/T4.13-14.07/abstracts.html   (785 words)

  
 math lessons - Intersection (set theory)
For example, the intersection of the sets {1, 2, 3} and {2, 3, 4} is {2, 3}.
If the intersection of two sets A and B is empty, that is they have no elements in common, then they are said to be disjoint, denoted: A ∩ B = Ø.
The intersection of A, B, C, and D, for example, is A ∩ B ∩ C ∩ D = A ∩ (B ∩ (C ∩ D)).
www.mathdaily.com /lessons/Intersection_(set_theory)   (658 words)

  
 The michaelmTheory.com: When Photons Collide
It is a theory, though at present I have no formula, yet I do have three experiments when performed will prove my theory right or wrong.
The missing mass is the culmination of Quantum Gravity Pulses as a response to Intersecting light.
A generation later, in 1919, his theory of Gravitational Lensing was proven to be correct.
www.michaelmtheory.com   (3033 words)

  
 RESUME CT 9 :
This has been a conference in intersection theory, which is a subject of great actuality, due to its importance in enumerative geometry, and its connections with commutative algebra, number theory, mathematical physics, symplectic geometry and algebraic topology.
The connections that have been forged in these years between intersection theory, mathematical physics and symplectic geometry are one of the most striking illustrations I know of the unity of mathematics.
The main part of the theory consists of a body of conjectures, relating the behaviour of the algebraic cycles on a variety with other geometric data involving the variety, and with the arithmetic properties of the base field.
cordis.europa.eu /tmr/src/res970198.htm   (1298 words)

  
 intersection - Search Results - MSN Encarta
Intersection, in mathematics, the point where two lines, curves, surfaces, or solids meet.
Ecliptic, in astronomy, the apparent great-circle annual path of the Sun in the celestial sphere, as seen from Earth.
In mathematics, the intersection of two sets and is the set that contains all elements of that also belong to (or equivalently, all elements of that also belong to), but no other elements.
encarta.msn.com /encnet/refpages/search.aspx?q=intersection   (251 words)

  
 Amazon.com: Recent Progress in Intersection Theory: Geir Ellingsrud, William Fulton, Angelo Vistoli: Books
This collection of papers focuses on new concepts and results in intersection theory, enumerative geometry, and related topics; it is an outgrowth of a conference in intersection theory held in Bologna, Italy, in December 1997.
For this reason the work will be very useful to experts in intersection theory, as well as to graduate students and specialists in other areas of mathematics and physics.
Focuses on new concepts and results in intersection theory, enumerative geometry, and related topics; it is an outgrowth of a conference in intersection theory held in Bologna, Italy, in December 1997.
www.amazon.com /Recent-Progress-Intersection-Theory-Ellingsrud/dp/081764122X   (635 words)

  
 EServer: Cultural Studies and Critical Theory: Critical Theory
The sociological theory that the loss of the support of objectively established religion, the dissolution of the last remnants of pre-capitalism, together with technological and social differentiation or specialisation, have led to cultural chaos is disproved every day; for culture now impresses the same stamp on everything.
An evaluative assessment of the potential contribution of Michel Pêcheux's research to a current movement within cultural studies to secure a conceptual framework for the critical discourse analysis of the linguistic mechanisms of ideology (examples of which are drawn from news accounts).
The purpose of this exam in critical theory is to outline grammatology, the science of writing, as a field of knowledge.
theory.eserver.org /dir/Critical_Theory   (663 words)

  
 The Metaphorical Gospel Theory
Whether he's right or wrong, the point is that he is arguing from what I call "Theory Intersection." He is arguing, from the existence of evidence consistent with both theories, that one theory - namely, his - is true.
It is quite possible, and in fact is quite common, for two competing theories to have significantly large areas of evidence with which each is perfectly compatible.
I represent this by the shaded intersection of A and B. The thing which distinguishes the correct theory from the incorrect is evidence which supports it, and does not support its competitor.
answers.org /bible/ericknel/MG10/EInFavoOfMG/E4TheoryIntersection.htm   (2516 words)

  
 Geometry
It turned out that the structure and time-evolution of intersections of pairs of different solutions (that are zeros of the differences satisfying linear parabolic equations) can reveal the actual asymptotic behaviour of general solutions.
Instead, the ideas of the intersection comparison with the control of the number of intersections and also their characters then begin to play a key role.
I intend to show students how theories that underlie other fields of mathematics can be used to better under­stand the concrete models for the axiom systems of Euclidean, spherical, and hyperbolic geometries and to better visualize the abstract theorems.
www.wordtrade.com /science/mathematics/geometry.htm   (5443 words)

  
 Higher Intersection Theory on Algebraic Stacks II, by Roy Joshua
Higher Intersection Theory on Algebraic Stacks II, by Roy Joshua
This is the second part of our work on the intersection theory of algebraic stacks.
We also provide an integral intersection pairing for all smooth Artin stacks which we show reduces to the known intersection pairing on the Chow groups of smooth Deligne-Mumford stacks modulo torsion.
www.math.uiuc.edu /K-theory/0374   (178 words)

  
 [No title]
These theories are an indispensable element of all traffic models and analysis tools that are being used in the design and operation of streets and highways.
The field of traffic-flow theory and transportation has become too diffuse to be covered by any single type of meeting, and numerous other symposia and specialty conferences about a variety of traffic-related topics are held on a regular basis.
The statistical theory of traffic flow is presented to provide estimates of delays and queues at isolated intersections, including the effect of upstream traffic signals.
www.tfhrc.gov /pubrds/janfeb99/traffic.htm   (1932 words)

  
 CJM - Cycle-Level Intersection Theory for Toric Varieties   (Site not responding. Last check: )
We show that these intersection cycles have properties analogous to the usual intersections modulo rational equivalence.
This paper addresses the problem of constructing a cycle-level intersection theory for toric varieties.
We also discuss how to define intersection cycles that require no choices, at the expense of increasing the size of the coefficient field.
www.journals.cms.math.ca /cgi-bin/vault/view/thomas3304   (286 words)

  
 Events Horizons of the Psyche
This study presents a metaphysical theory that describes the roles of the physiology of the brain, the dynamics of the psyche, and spiritual, non-spatiotemporal realities in human consciousness.
The theory developed in this study is unique because it is founded upon both the biology of the human nervous system, and the experiences of transcendent reality that form the core of mystical and religious thought.
The problem this paper address is the development of a theory of the metaphysics of the mind that accounts for the psychopharmacology of the brain and for the phenomena of portal experience.
www.geocities.com /doctordruidphd/eventhorizons.html   (11462 words)

  
 Arithmetic cycles and automorphic forms
Moreover, we consider the intersection of the generating series with the line bundle of modular forms equipped with the Petersson metric.
In particular, the arithmetic self intersection number of the line bundle of modular forms is determined.
The proof suggests a connection between Hida's theory of p-adic families of modular forms and the ``arithmetic theta-lifts" arising in the work of Kudla and others which are the main focus of this workshop.
www.math.mcgill.ca /goren/WorkshopAbstracts.html   (2852 words)

  
 Intersection Theory at Quantum Books
From the ancient origins of algebraic geometry in the solutions of polynomial equations, through the triumphs of algebraic geometry during the last two centuries, intersection theory has played a central role.
The aim of this book is to develop the foundations of this theory, and to indicate the range of classical and modern applications.
Although a comprehensive history of this vast subject is not attempted, the author points out some of the striking early appearances of the ideas of intersection theory.
www.quantumbooks.com /p/08ALGE/0387985492   (134 words)

  
 Search Results for Ring
Embarking on his mathematical career at the time when ring theorists were searching for a general structure theory in the spirit of invariant theory, representation theory and theory of finite-dimensional algebras, Amitsur breathed life into the new theory and developed a body of theorems which were to provide inspiration for a generation of ring theorists.
We are, therefore, constrained to abandon the theory of a solid ring, and to consider the case of a ring, the parts of which are not rigidly connected, as in the case of a ring of independent satellites, or a fluid ring.
Moreover, the theory of modules, and hence representation theory, may be regarded as the study of a set of rings of endomorphisms all of which are homomorphic images of a fixed ring R. Airy on Thales' eclipse
www-groups.dcs.st-and.ac.uk /~history/Search/historysearch.cgi?SUGGESTION=Ring&CONTEXT=1   (7230 words)

  
 The Conversation - Successful Innovation: The Intersection of Theory and Practice - Harvard Business School
I would suggest, before theories are announced, the executives who come through the ranks and know how the front line managers think and act to fine-tune the theory.
In executive management, successful innovation flows on the basis of theories, while on the implementation side many gaps need to be plugged, requiring a scenario and vision for the future.
Theories may exist but these companies either are not aware of them or are not capable of assimilating these into their practice.
www.hbs.edu /centennial/conversation/successful_innovation   (6318 words)

  
 CJM - Cycle-Level Intersection Theory for Toric Varieties
We show that these intersection cycles have properties analogous to the usual intersections modulo rational equivalence.
We also discuss how to define intersection cycles that require no choices, at the expense of increasing the size of the coefficient field.
This paper addresses the problem of constructing a cycle-level intersection theory for toric varieties.
journals.cms.math.ca /cgi-bin/vault/view/thomas3304?lang=fr   (292 words)

  
 Intersection theory - Wikipedia, the free encyclopedia
In mathematics, intersection theory is a branch of algebraic geometry, where subvarieties are intersected on an algebraic variety, and of algebraic topology, where intersections are computed within the cohomology ring.
The theory for varieties is older, with roots in Bézout's theorem on curves and elimination theory.
For example, a theorem of Michael Freedman states that simply connected smooth 4-manifolds are determined by their intersection forms up to homeomorphism.
en.wikipedia.org /wiki/Intersection_theory   (465 words)

  
 Erik Bahen's Zero Point Theory
points where there is no intersection between dimensions and thus are available to interact solely in their own dimension with the rules set down in that particular dimensions geometry.
In this case the points of intersection actually pass over each other, not thru a bending of space but because zero-point force is being exerted from the time dimension onto the intersection point which gives us this vortex.
As zero-points have a field in relation to all other zero-points(remember that zp's are just intersections of dimensions) and are ambiently attracted to one another thru this zero-point field, zp's naturally come together unless acted upon thru vortex force, which repels.
www.bahen.org /zeropoint.html   (7819 words)

  
 Deadlines and Domination
The theory that race and gender intersect as part of a matrix of domination is a promising alternative explanation for the behavior of American newspapers -- and society in general.
Now, intersection theory and the matrix of domination need to be empirically tested, at newspapers and other cornerstones of hegemony, such as universities and private corporations.
Only then can this theory help society synchronize semaphores at the intersection of race and gender, and point the way toward uncoupling newspaper deadlines and domination.
www.uwec.edu /mdorsher/dominate/domconcl.html   (147 words)

  
 CRC Press Online
Now more that a quarter of a century old, intersection homology theory has proven to be a powerful tool in the study of the topology of singular spaces, with deep links to many other areas of mathematics, including combinatorics, differential equations, group representations, and number theory.
Like its predecessor, An Introduction to Intersection Homology Theory, Second Edition introduces the power and beauty of intersection homology, explaining the main ideas and omitting, or merely sketching, the difficult proofs.
Intersection homology is a large and growing subject that touches on many aspects of topology, geometry, and algebra.
www.crcpress.com /shopping_cart/products/product_detail.asp?sku=C1844   (371 words)

  
 ON TOPOLOGICAL $2D$ STRING AND INTERSECTION THEORY
The topological description of $2D$ string theory at the self-dual radius is studied in the algebro-geometrical formulation of the $A_{k+1}$ topological models at $k=-3$.
Genus zero correlators of tachyons and their gravitational descendants are computed as intersection numbers on moduli space and compared to $2D$ string results.
The interpretation of negative momentum tachyons as gravitational descendants of the cosmological constant, as well as modifications of this, is shown to imply a disagreement between $2D$ string correlators and the associated intersection numbers.
nsdl.org /resource/2200/20061006031237631T   (120 words)

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