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Topic: General integral

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Indefinite integral

In the News (Tue 29 Dec 09)

Northern Trust

Marvin Harrison

Peter Chernin

Gary Locke

Match Play

Penelope Cruz

Mickey Rourke

AR Rahman

Danny Boyle

Hugh Jackman

	INTEGRAL - The International Gamma-Ray Astrophysics Laboratory
		The ESA INTEGRAL mission successfully performs observations of the high-energy sky since its launch on October 17, 2002.
		Also, INTEGRAL's Achievements and its Mission Perspective will be addressed by additional talks from INTEGRAL team members.
		This is a high value, showing the continued high interest of the scientific community in the INTEGRAL mission.
	www.rssd.esa.int /index.php?project=INTEGRAL&page=index (631 words)

	Antiderivative - Wikipedia, the free encyclopedia
		In calculus, an antiderivative, primitive or indefinite integral of a function f is a function F whose derivative is equal to f, i.e., F ′ = f.
		Antiderivatives are related to definite integrals through the fundamental theorem of calculus, and provide a convenient means for calculating the integrals of many functions.
		It is critical to remember that an integral is not the same, in general, as the means for evaluating it; and the function that an integral implies stands apart from that means - in the case of single-variable integrals, from antiderivatives.
	en.wikipedia.org /wiki/Indefinite_integral (1453 words)

	HEASARC: Integral Guest Observer Facility
		INTEGRAL, launched in October 2002 aboard a Russian Proton rocket, is providing a new insight into the most violent and exotic objects of the Universe, such as neutron stars, active galactic nuclei and supernovae.
		INTEGRAL is also helping us to understand processes such as the formation of new chemical elements and the mysterious gamma-ray bursts, the most energetic phenomena in the Universe.
		These studies are possible thanks to INTEGRAL's combination of fine spectroscopy and imaging of gamma-ray emissions in the energy range of 15 keV to 10 MeV and concurrent monitoring in X-ray (4-35 keV) using JEM-X, and optical (500-600 nm) bands, using OMC.
	heasarc.gsfc.nasa.gov /docs/integral/integralgof.html (369 words)

	AWM's Adsorption page - General/Global integral equation (GIE) - Stieltjes transform (Site not responding. Last check: 2007-10-08)
		General Integral Equation of Adsorption (GIEA) is a general formulation of adsorption isotherm involving energetical heterogeneity of the adsorption system (i.e.
		A method of solving General Integral Equation of Adsorption for local Langmuir isotherm (or any equation that may be reduced to such mathematical form) was proposed by Sips (J.R.Sips, J.Chem.Phys., 16, 420 (1948) and 18, 1024 (1950)).
		The General Integral Equation of Adsorption is the Fredholm equation of the 1st kind, where the energy distribution χ(E) is the equation kernel we are looking for:
	republika.pl /awmarcz/awm/ads/Stieltje.htm (1312 words)

	AWM's Adsorption page - General/Global integral equation (GIE)
		Dilute single-solute adsorption is a special case of binary liquid mixture adsorption where one of the components (solvent) is present in the solution bulk in almost constant concentration.
		General Integral Equation of Adsorption (GIE) is a general formulation of adsorption isotherm involving energetical heterogeneity of the adsorption system (i.e.
		Another similar in character Integral Equation of Adsorption is the Stoeckli integral equation for adsorption on microporous non-uniform solids.
	hektor.umcs.lublin.pl /~awmarczx/awm/ads/GIEc.htm (704 words)

	Physics_of_sound
		This is a case where sound acts as if it propagates along rays, and a separate section provides a derivation of geometrical optics dealing with such ray behavior.
		General representations of sound waves in terms of wave spectra.
		General solution for Doppler shift, for both transmitter and receiver moving with arbitrary velocities relative to the medium.
	www.silcom.com /~aludwig/Physics/Main/Physics_of_sound.html (867 words)

	Integral Awakening: Integral Counseling (Site not responding. Last check: 2007-10-08)
		This leads me to question whether a integral therapist would still work from a particular known theory, while having this understanding, and utilize eclecticism of techniques in order to be comprehensive.
		My inclination is think the the ideal perspective would be one which was integrally informed at a general worldview level, have a broad general education in the field in question, then specialize and go deep in one or few areas to create expertise.
		Ideally, the integral perspective would manifest in the fields of mental, physical, and spiritual health such as to allow the practitioner the insight that their way is not the only way and in some circumstances not the best way.
	www.integralawakening.com /ia/2004/06/integral_counse.html (1845 words)

	ATM 150 - Solving Integrals
		In general, the scheme will be more accurate than trapezoidal rule for a given resolution.
		Integral from a to b of f = (b-a)/2 * [af(@s=-0.5773) + bf(@s=0.5773) ]
		The transforms are integrals and the integrand is a Legendre polynomial.
	atm.ucdavis.edu /~grotjahn/course/atm150/integral.htm (1001 words)

	CRC Press Online (Site not responding. Last check: 2007-10-08)
		Considers general integral equations in relation to various fields of mechanics and theoretical physics, including elasticity, plasticity, hydrodynamics, heat and mass transfer, and electrodynamics
		Integral equations are encountered in various fields of science and in numerous applications, including elasticity, plasticity, heat and mass transfer, oscillation theory, fluid dynamics, filtration theory, electrostatics, electrodynamics, biomechanics, game theory, control, queuing theory, electrical engineering, economics, and medicine.
		Exact (closed-form) solutions of integral equations play an important role in the proper understanding of qualitative features of many phenomena and processes in various areas of natural science.
	www.crcpress.com /shopping_cart/products/product_detail.asp?sku=2876 (522 words)

	ESA - Integral
		With over seventy percent of the sky now observed by Integral, astronomers have been able to construct the largest catalogue yet of individual gamma-ray-emitting celestial objects.
		A handful of the most energetic high-energy sources surrounding the fl hole at the centre of the Galaxy had all faded into a temporary silence when Integral looked.
		Integral sees a GRB out of the corner of its eye
	www.esa.int /export/esaMI/Integral (205 words)

	What is an integral
		For 1-dimensional integrals, this notation is shorthand for saying the domain of integration is the (directed) interval (a, b).
		Then, you take the integral of all of them, and the sup is the integral of f.
		Then, you continue extending the definition of the integral to other cases (such as allowing functions to be negative), and you get the Lesbegue integral.
	www.physicsforums.com /showthread.php?t=50754 (934 words)

	Ken Wilber Official News
		I have instead spent most of my adult life attempting to construct a general Integral framework that would allow us to include and honor the most number of truths from the most number of sources, premodern to modern to postmodern.
		This Integral framework allows us to connect the previously unconnected, to build bridges where previously there were motes, and in general begin to weave together the broken and fragmented pieces of a world gone slightly mad.
		This Integral approach has generated a great deal of interest both nationally and internationally, and I figured it was time to attempt to coordinate the numerous streams of interest in it.
	www.kenwilber.com /KW_News/news_Home.html (1007 words)

	7.4. Lebesgue Integral
		Fortunately, for many simple functions the two integrals agree and the Lebesgue integral is indeed a generalization of the Riemann integral.
		The Lebesgue integral has properties similar to those of the Riemann integral, but it is "more forgiving": you can change a function on a set of measure zero without changing the integral at all.
		The new concept, the Lebesgue integral, agrees with the old one, Riemann integral, when both apply and removes some of the oddities mentioned before.
	web01.shu.edu /projects/reals/integ/lebes.html (1687 words)

	Springer Online Reference Works
		is called the general integral of, rather than the equations (2).
		Each of the equations (2) (or each function (3)) is called a first integral of.
		A general integral of a first-order partial differential equation is a relation between the variables in the equation involving one arbitrary function such that the equation is satisfied when the relation is substituted in it, for every choice of the arbitrary function.
	eom.springer.de /g/g043670.htm (148 words)

	General_solution
		The general solution of the wave equation provides a means for computing the sound wave pressure (or velocity) anywhere in a region, in terms of values of pressure and velocity on the boundary of the region.
		It is also possible to express a general solution in terms of wave spectra.
		In general, the beamwidth in degrees is approximately 29λ/a.
	www.silcom.com /~aludwig/Physics/Gensol/General_solution.html (2751 words)

	[No title]
		A general integral is also called an indefinate integral.
		Thus the general integral of EMBED Equation.3 is EMBED Equation.3.
		The symbol for the general integral of EMBED Equation.3 is EMBED Equation.3 (1) Hence if EMBED Equation.3 is a particular integral of EMBED Equation.3, then EMBED Equation.3 (2) To integrate EMBED Equation.3 is to express EMBED Equation.3 in terms of known functions.
	www.elcamino.cc.ca.us /faculty/pyun/Intbkup.doc (530 words)

	Integral Research
		The localized integral equation is solved separately at each point, and the resulting solutions are synthesized to obtain a complete global solution.
		General Rao Transform (GRT) is useful in solving non-linear integral equations.
		The computational framework is localized, efficient, and provide computationally efficient solutions to general integral equations.
	www.integralresearch.net (2049 words)

	Ken Wilber Online: Pragmatic history of consciousness
		The reason is that all four of those experiences are variations on the four great states of consciousness: waking, dreaming, sleeping, and nondual ever-present awareness, all four of which are present in humans even in the prenatal period, and certainly in infancy and childhood.
		"What Integral Psychology did was several things: first of all, it gave five common definitions of spirituality; it suggested that all five of them are important and need to be included in any integral model of spirituality--all five of them represent different aspects of spirituality, as it were.
		That is, the integral model that we have proposed has two basic 'parts,' if you will, corresponding to the 'two truths' of many of the great wisdom traditions: namely, there is relative truth, and there is ultimate or nondual truth.
	wilber.shambhala.com /html/books/boomeritis/sidebar_d/index.cfm (5607 words)

	California Institute for Human Science: Master of Arts in General Psychology
		The core curriculum of the General Psychology M.A. program is designed to provide the entry level graduate student with a solid grounding in the basic science foundations of psychology.
		Upon successfully completing the core curriculum, the M.A. candidate in General Psychology fulfills the remaining degree requirements by taking courses across a spectrum of substantive areas in psychology, including clinical psychology.
		Twenty-four (24) graduate quarter units are earned in six (6) core courses designed to establish a basic foundation in the philosophy and science of psychology.
	www.cihs.edu /academic/psychology_ma.asp (449 words)

	granma.cu - Fidel calls for achieving a general integral culture
		PRESIDENT Fidel Castro has affirmed that achieving a general integral culture currently constitutes the only effective antidote against attempts to globalize the culture of domination and manipulation in the world.
		In a letter sent to participants at the José Martí International Colloquium for a Culture of Nature, which ended yesterday, the president noted that Cuba is opening new and promising ways of attaining a general integrated culture for its citizens.
		In his opinion that is "the only effective antidote against attempts to globalize the culture of domination, manipulation, idolization and individualism that is currently hypnotizing and marginalizing millions of human beings."
	www.granma.cu /ingles/2004/octubre/juev28/45fcult.html (395 words)

	RAND \| Research Memoranda \| An Initial-value Method for General Fredholm Integral Equations.
		A new analytical and numerical solution of Fredholm integral equations is presented that is not limited, as previously, to equations whose kernels depend on the absolute value of the difference of the arguments.
		The solution of a Fredholm integral equation at a fixed point is viewed as a function of the length of the interval.
		An initial-value problem for the solution and for certain auxiliary quantities is then derived (an extension of invariant imbedding), and a number of new equations are developed that are well suited for solution by modern computers.
	www.rand.org /pubs/research_memoranda/RM5307 (308 words)

	THE DOUBLE MELLIN-BARNES TYPE INTEGRALS AND THEIR APPLICATIONS TO CONVOLUTION THEORY
		This book presents new results in the theory of the double Mellin-Barnes integrals popularly known as the general H-function of two variables.
		A general integral convolution is constructed by the authors and it contains Laplace convolution as a particular case and possesses a factorization property for one-dimensional H-transform.
		Many examples of convolutions for classical integral transforms are obtained and they can be applied for the evaluation of series and integrals.
	www.worldscibooks.com /mathematics/1425.html (249 words)

	Release of the Oral Health in America Report, Shepherd Elementary School, Washington, DC, May 25, 2000
		This is the 51st Surgeon General's report issued since 1964, when Luther Terry issued his landmark report on tobacco and health.
		And that general health risk factors, such as tobacco use and poor dietary practices, also effect oral and craniofacial health.
		With that in mind, oral health means being free of oral-facial pain conditions, oral and pharyngeal cancers, soft tissue lesions, birth defects such as cleft lip and palates, and a host of other conditions.
	www.surgeongeneral.gov /library/oralhealth/spchoral.htm (1802 words)

	Integral problem
		I have this integral: (The first is the original, the one I need to solve)
		I don't understand exactly what it is you've done to the integral, but...
		This integral is solved correctly this time, and I've done the same thing as I would do in the one I gave you.
	www.physicsforums.com /showthread.php?t=46066 (355 words)

	Integral thought - Wikipedia, the free encyclopedia
		Wrote the Title paper and edited the 1958 symposium compendium, The Integral Philosophy of Sri Aurobindo along with Frederic Spiegelberg.
		Satischandra Chatterjee - Wrote an essay, "Mind and Supermind in Sri Aurobindo's Integralism" in the 1958 symposium compendium, The Integral Philosophy of Sri Aurobindo.
		Srivastava - Wrote an essay, "The Integralist Theory of Evolution" in the 1958 symposium compendium, The Integral Philosophy of Sri Aurobindo.
	en.wikipedia.org /wiki/Integral_(philosophy) (3440 words)

	Russian Science Data Center for INTEGRAL
		On October 17, 2002 at 4:41 UT the INTEGRAL spacecraft was successfully launched by the PROTON rocket from Baikonur, Kazakhstan.
		Soon after that INTEGRAL was put to an intended orbit and at 06:35 UT the same day a successfull deployment of both solar panels occurred.
		Currently INTEGRAL is safe and in a stable configuration.
	hea.iki.rssi.ru /integral (125 words)

	Integral Institute
		People and organizations throughout the world are increasingly finding that an Integral approach can help clarify, expand, and improve whatever they're doing.
		An Integral Friend is simply anyone we acknowledge as sharing a general integral orientation, although they may or may not be using AQAL in their work—and if they are using it, they may or may not be using it correctly.
		Thus, we don't endorse their offerings on the basis of AQAL, but we recognize a broad common cause, and we invite you to check them out.
	www.integralinstitute.org /public/static/certfriend.aspx (119 words)

	Generation Sit (Site not responding. Last check: 2007-10-08)
		Yesterday’s insight, explained here, was quite profound for me. I had never before been able to put into exact words why so many jobs I have had over the years have felt so damn stifling.
		One often hears about discovering a type of job or career that makes one money, that allows one to find success in material terms (mind and body issues), yet one does not hear often the topic of work being discussed in such a way that mind, body, soul, and spirit are given equal merit.
		Is prayer some elevated, exalted form of desire: not quite, say, the same as an adolescent male desiring the latest calendar girl as he goes to sleep at night.
	www.generationsit.org (1910 words)

	wingflo
		However, for the steady case we can always transform coordinates so that the lateral component v is zero, so lets assume this for simplicity.
		The quantity within the integral on the lhs is the induced velocity at
		The integral equation says that the velocity induced at a surface point by the singularity distribution, integrated over the wing and wake, must satisfy the surface normal velocity condition.
	www.adl.gatech.edu /classes/unstaero/wingpan/wingflo.html (988 words)

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