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	Modular curve - Wikipedia, the free encyclopedia
		In mathematics, a modular curve is a Riemann surface, or corresponding algebraic curve, constructed as
		Modular curves of genus 0, which are quite rare, turned out to be of major importance in relation with the monstrous moonshine conjectures.
		In general a modular function field is a function field of a modular curve (or, occasionally, of some other moduli space that turns out to be an irreducible variety).
	en.wikipedia.org /wiki/Modular_curve (407 words)

	Elliptic Curves and Modular Functions
		Modular and elliptic functions are both special cases of the concept of an automorphic function, which is a meromorphic function of 1 or more complex variables defined on a particular complex manifold and invariant under a particular group of analytic transformations (symmetries) of the manifold.
		the modular functions, are essentially the meromorphic functions on D considered as a Riemann surface by its isomorphism with H/ We have stressed this idea of symmetry because of the way it relates the analytic and geometric properties of an object like a Riemann surface to the algebraic properties of a group.
		Modular functions are, then, the automorphic functions on the upper half plane under the action of the modular group.
	cgd.best.vwh.net /home/flt/flt05.htm (2993 words)

	j function - jfunction
		In mathematics, Klein's j-invariant, regarded as a function of a complex variable τ, is a modular function defined on the upper half-plane of complex numbers with positive imaginary part.
		The quotient is therefore a modular function of weight zero; this means j has the absolutely invariant property that
		As a Riemann surface, the fundamental region has genus 0, and every (level one) modular function is a rational function in j; and, conversely, every rational function in j is a modular function.
	www.kopete.org /j-function.html (804 words)

	Monstrous moonshine - Wikipedia, the free encyclopedia
		In mathematics, monstrous moonshine is a term devised by John Horton Conway and Simon P. Norton in 1979, used to describe the (then totally unexpected) connection between the monster group M and modular functions (particularly, the j function).
		Oliver L. Atkin, Paul Fong and Frederic L. Smith using computer calculation that there is indeed an infinite-dimensional graded representation of the Monster group whose McKay-Thompson series are precisely the Hauptmoduls found by Conway and Norton, and I.
		Thus, the term not only refers to the Monster group M; it also refers to the perceived craziness of the intricate relationship between M and the theory of modular functions.
	en.wikipedia.org /wiki/Monstrous_moonshine (777 words)

	Submodular function - MLpedia
		Submodularity is a type of convexity for functions on sets, or equivalently functions on binary vectors.
		A modular set function is equivalent to a linear function on binary variables.
		Just as a convex function can be lower-bounded at any point any a line, a submodular set function can be lower-bounded at any point by a modular set function.
	www.mlpedia.org /index.php?title=Submodular_function (422 words)

	Modular Arithmetic
		Modular (often also Modulo) Arithmetic is an unusually versatile tool discovered by K.F.Gauss (1777-1855) in 1801.
		Under the same conditions, 1 always appears in the upper left and lower right corners and nowhere else on the main diagonal.
		In multiplication tables with a number of rows N where (N+1) is prime, the same is also true: the main diagonal contains only a half of all the remainders.
	www.cut-the-knot.org /blue/Modulo.shtml (730 words)

	PlanetMath: modular lattice (Site not responding. Last check: 2007-10-26)
		is modular if and only if it is graded and its rank function
		Cross-references: rank function, finite, modular law, submodules, group, normal subgroups, lattice
		This is version 9 of modular lattice, born on 2002-02-24, modified 2004-02-24.
	planetmath.org /encyclopedia/ModularLattice.html (67 words)

	main (Site not responding. Last check: 2007-10-26)
		Functional requirements expressed in robotic concepts must be changed by modification of the procedural program in a different conceptual framework and at a much higher level of complexity.
		Behavioral and functional specifications show state change of the system in response to events and activate and control the appropriate functional behavior of the objects.
		These two principal functions can be thought of as clusters, each representing a group of objects that are interconnected by many relationships.
	www.robotics.utexas.edu /rrg/downloads/software/rooa (3684 words)

	Modular Instruction (Site not responding. Last check: 2007-10-26)
		Modular Instruction is one approach that is proven to be effective in the learning process of the students.
		The main purpose of the evaluation is to test the effectiveness of the modules as a self- instructional material to be used in the modularized instruction inside and outside of the classroom.
		You would probably agree that it is hard to push on or to pull a heavy cabinet across the floor of a room, to lift a sack of rice from the floor to a higher level.
	www.upd.edu.ph /~ismed/elink/ismed6.htm (3567 words)

	Modular (Site not responding. Last check: 2007-10-26)
		Collahuasi, located in the First Region of Tarapacá in northern Chile, is one of the main copper producers in the world, with an annual production capacity of approximately 400,000 tons of fine copper, equivalent to 3% of worldwide production and 10% of national production.
		Utilizing IEEE 802.3 (wired) and 802.11 (wireless) communications standards, the MasterLink wireless communications network was created to function in the harshest industrial environments and can operate either standalone or as part of an existing Local Area Network (LAN) to connect field stations to a central computer or backbone.
		Modular, headquartered in Tucson, Arizona, is the market share leader in providing powerful information management solutions to meet the needs of both open pit and underground mining operations worldwide.
	www.mmsi.com /news_26.shtml (543 words)

	Modular Glossary (Site not responding. Last check: 2007-10-26)
		In electricity, an insulated board from which connections are made between the main feed lines and branch lines.
		The condenser provides the heat while the evaporator is arranged to pick up heat from air, water, etc. By shifting the flow of air or other fluid a heat pump system may also be used to cool the space.
		A refrigerating system designed so that the heat extracted at a low temperature and the heat rejected at a higher temperature may be utilized alternately or simultaneously for cooling and heating functions respectively.
	www.triumphleasing.com /glossary.asp (4500 words)

	main
		It has to be able to expand and contract signals as a function of knowing me and my environment so intimately that I literally can be redundant on most occasions.
		In addition, the procedure needed to reveal the functions of the underlying components and needed to teach the skills necessary in modifying the design so that the user would be confident in extending the system himself.
		While they hadn't seen a lens, they just assumed that the actual camera was held somewhere else, in the hand for example, and that the view finder was mounted on the safety glasses for convenience.
	www-static.cc.gatech.edu /gvu/ccg/publications/starner-phd (15779 words)

	ARTURIA MOOG MODULAR V
		The Moog Modular V is a true-to-life representation of the original machine, and as such, it boasts an array of precision-modeled virtual components that mimic their real-world counterparts.
		Patch storage on an old modular used to mean committing a complicated jungle of cables and jacks to your memory, but Arturia has simplified things a great deal by including a simple and powerful hierarchical menu that manufacturers of other soft synths would do well to emulate.
		The Moog Modular V is a powerhouse that models the old hardware to a tee, producing rich and beautiful tones that compare favorably to a real Moog system.
	remixmag.com /tech/studio_tools/remix_arturia_moog_modular/index.html (2373 words)

	Modular Furniture Group
		Modular - Componentized units offer flexibility that can be modified or moved as your banking needs change.
		Modular furniture group’s custom bank designers will perform a complete interior design function or...........
		Modular Furniture Group has targeted four divisions of the business arena.
	www.computerfurniture.com (182 words)

	MAIN PAGE
		The main line appears to pass through the mining canyon and disappear behind a rock wall in into a tunnel built against the side wall of the layout room.
		Only part of the portal is visible from the isle and the inside of the portal is painted fl to look as if it continues to another mining district beyond the canyon.
		As you saw in photos 23-25, the red tinted colors suggest a large deposit of iron ore. While the contrast between the gray rock of the other parts of the railroad and the red color of the mining district do exist in certain areas, the colors contrasted too much for such a small area.
	www.bnfhoby.com /personalmain.htm (5495 words)

	Modular Philosophy (Site not responding. Last check: 2007-10-26)
		A common problem is how to write low level modules which must not be modified for every specific target application the module is used for.
		Example: a module which performs a keypad scan functionality must be assigned ports for the rows and columns of the keyboard matrix.
		In order to prevent loss of flexibility, portability and reusability of the source code, macro names must be used in the source of the module instead of actual port name resp.
	elmicro.com /msp430web/philosophy.htm (392 words)

	Modular (Site not responding. Last check: 2007-10-26)
		This makes it crucial for onsite systems to be ruggedized and able to withstand the demands of constant use in extreme cold, yet continue to perform reliably in the short summer season.
		"This is the furthest north that Modular has installed and we are pleased to be able to do so with a world class operation such as Fort Knox," stated Haydn Roberts, General Manager for Modular Mining North America.
		The Fort Knox operation consists of the main Fort Knox open pit and the True North open pit located approximately 15 km northwest of Fort Knox.
	www.mmsi.com /news_45.shtml (693 words)

	Modular (Site not responding. Last check: 2007-10-26)
		Modular revisions of print server of the HP Jetdirect 400n p/n J410Ã and...
		The idea of the modular programming is very basic he is in its more basic form...
		The new modular series of the modem was presented/displayed to the ample public for the first one...
	modular.server-112.com (3665 words)

	Modular Digital Multitracks - Digital Pipelines
		After all, the ADAT was to be a modular recorder, intended to connect with others of its kind; it would be silly if users lost a generation every time they made a backup tape or copied tracks to another machine.
		The ability to digitally connect a modular hard-disk recorder (MHDR) with an MDM can be a valuable asset to the personal-studio owner.
		The control connector allows you to individually mute each input pair and identifies which of the main AES inputs is being used as the sync source.
	emusician.com /news/emusic_digital_pipelines/index.html (6260 words)

	main (Site not responding. Last check: 2007-10-26)
		Established Sept. '84, fosters, encourages and develops public appreciation for the performing arts and artists and their related technical educational, charitable, recreational, literary, scientific, artistic, theatrical and musical fields and functions for the benefit of all.
		Functions as a training and development center for individuals with developmental disabilities to help them acquire life and work skills.
		Established 1984, provides treatment services, within the limits of its resources, to individuals and their families whose lives have been impacted by the disease of alcoholism and chemical dependency, regardless of their ability to pay.
	www.kycolonels.org /goodworks/grants.html (10514 words)

	Glossary Main (Site not responding. Last check: 2007-10-26)
		Because of federal prohibitions, premiums come either solely from union funds or partially from union funds and members' contributions.
		modular plan - a type of cafeteria plan in which an employee has a choice among several predesigned benefit packages.
		It may lead to the denial of claims, but its main purpose is to monitor trends so that future actions can be taken in high-cost situations.
	www.bcitpa.com /About/tpa/self-glossary-bot.htm (10292 words)

	main
		The dogs included in the survey had at least one hip replaced between June 1, 1990 and July 1, 1995 with a BioMedtrix modular implant (titanium stem).
		Bilateral hip replacements had been done in 37 of the 278 dogs.
		Many of these owners filled out a similar questionnaire about their pets function before surgery and for comparison these results are also included.
	www.biomedtrix.com /cli.html (456 words)

	Code Quandaries - Main Breaker Supply
		The rules of 110.14(C)(1)(b) call for you to size the conductors at terminals based on the 75°C column of Table 310.16, which requires the conductors at the terminations to be sized no smaller than 600 kcmil.
		I have a 20A branch circuit that feeds modular office furniture receptacles rated 15A.
		Note that GFCI protection devices function properly on a 2-wire circuit without an equipment grounding conductor because the equipment grounding conductor serves no purpose in the operation of the GFCI protection device.
	ecmweb.com /conference/holt/electric_stumped_code/index.html (929 words)

	PAiA Electronics, Inc
		In cooperation with talented authors and designers we develop products that are known for their performance and economy.
		The detail of our Assembly and Using manuals gives confidence in first time success and insight into the design and function of the equipment.
		Applying the knowledge gained during assembly and testing, PAiA users frequently hot-rod and mod their gear to customize it for their needs.
	www.paia.com (525 words)

	Linux Cross-Reference
		The main goal of the project is to create a versatile cross-referencing tool for relatively large code repositories.
		The main feature of the indexer is of course the ability to jump easily to the declaration of any global identifier.
		An identifier is a macro, typedef, struct, enum, union, function, function prototype or variable.
	lxr.linux.no (769 words)

	main
		The Global Modeling Initiative (GMI) has developed a modular chemical-transport model (CTM) with the ability to incorporate different components and inputs, such as meteorological fields, chemical and microphysical mechanisms, numerical methods, source gas emissions, and other modules representing the different approaches of current models, as well as carry out multiyear assessment simulations.
		At present, GMI has concentrated on evaluating the variability of simulated atmospheric composition due to incorporation of meteorological input from different free running general circulation models and assimilated data; this effort will be expanded to include studies of the variability due to other model processes.
		Regardless of whether function as a team lead or as a team member, personnel from NASA Centers must propose budgets based on Full Cost Accounting (FCA).
	research.hq.nasa.gov /code_y/nra/current/NNH04ZYS008N/main.html (4780 words)

	Main Index
		These modular units are specifically designed for intermediate to advanced-level learners of Japanese by Noriko Ishihara, a doctoral candidate in Second Languages and Cultures Education at the University of Minnesota
		In these introductory exercises, you will be asked to write down your observations in each situation.
		The exercises function better by using the Internet Explorer Version 5 or higher on a PC, instead of on a Mac.
	www.iles.umn.edu /IntroToSpeechActs (631 words)

	main.
		It has become evident that additional performance improvement, though necessary, is not sufficient to make a code useful for support of Earth, space, life, and microgravity science research and missions.
		The cost to adapt existing high-performance research codes to function with suites of other Earth, space, life, and microgravity science research or production codes for evaluation and eventual adoption and use may be prohibitively high.
		The reason is that code interoperability, which often exists among code components within specific research groups, rarely exists between these groups, and there are many such groups.
	research.hq.nasa.gov /code_y/nra/current/CAN-00-OES-01/main.html (5558 words)

	Modular Sort Functions (Site not responding. Last check: 2007-10-26)
		At the bottom, there is a shell sort function, all you have to do to implement it is cut out the bubble sort and paste in the shell sort functions
		/* this is a modular sort function, this is using a bubble sort */
		"The program will be designed to enable modular use between\n"
	www.sis.pitt.edu /~rgilbert/is2610/cPrograms/modular_sort.htm (698 words)

	Nord Lead 2X main (Site not responding. Last check: 2007-10-26)
		The Nord Lead 2X has the same characteristic sound and functions as the Nord Lead 2, except for some very nice improvements:
		Velocity programming: Each function that is controlled by a knob, can be programmed to be controlled by velocity.
		Morphing: Each function that is controlled by a knob can also be controlled by the modulation wheel/pedal to continuously fade between two sets of values.
	www.clavia.se /nordlead2x/index.htm (715 words)

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