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Integration

Wikimedia disambiguation page

Integration in Sociology and economy means: social integration; in social sciences, racial integration, economic integration, Educational integration, Horizontal integration and vertical integration; in microeconomics, refers to Integration clause, Integrated production, and a step in the process of money laundering. In Mathematics, it refers to Integral, Indefinite integration, Symbolic integration etc. In Electronics engineering it pertains to Integrated circuit and System integration. In Genetics/Enzymology it pertains to Pre-integration complex and in DNA integration. It is also used as a Pre-integration complex. An annual Integration (festival) is also held.

Now our struggle is for genuine equality, which means economic equality. ... What does it profit a man to be able to eat at an integrated lunch counter if he doesn't earn enough money to buy a hamburger and a cup of coffee? ~ Martin Luther King, Jr.
I believe in recognising every human being as a human being, neither white, black, brown nor red. When you are dealing with humanity as one family, there's no question of integration or intermarriage. It's just one human being marrying another human being, or one human being living around and with another human being. -Malcolm X.


CONTENT : A - F , G - L , M - R , S - Z , See also , External links

Quotes

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Quotes are arranged alphabetically by author

A - F

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I am not against migration. It is simply pragmatic to restrict migration, while at the same time encouraging integration and fighting discrimination...- Ayaan Hirsi Ali.
 
The formation of the differential equations proper to the phenomena is, independent of their integration, a very important acquisition, on account of the approximations which mathematical analysis allows between questions, otherwise heterogeneous. ~ Auguste Comte
 
God does not care about our mathematical difficulties. He integrates empirically. -Albert Einstein.
  • I am not against migration. It is simply pragmatic to restrict migration, while at the same time encouraging integration and fighting discrimination. I support the idea of the free movement of goods, people, money and jobs in Europe.
  • In the sensorimotor area on top of the cortex there are four maps of a little upside down person, distorted I shape with every bit of skin and muscle represented in detail. This upside map is called the sensorimotor homunculus, the little human. The nervous system abounds in such maps, some of which appear to serve as 'self systems', organizing and integrating vast amounts of local bits of information.
  • If the word integration means anything, this is what it means: that we, with love, shall force our brothers to see themselves as they are, to cease fleeing from reality and begin to change it.
  • The aims of General Systems Theory: a) There is a general tendency towards integration in the various sciences: natural and social. b) Such integration seems to be centered in a general theory of systems. c) Such theory may be an important means for aiming at exact theory in the non-physical fields of science.(1956, d) Developing unifying principles running “vertically” through the universes of the individual sciences, this theory brings us nearer to the goal of unity of science.
  • But no one expected he had ever get very far, because I don’t suppose he could even integrate e to the x. Is such ignorance possible gasped someone?
  • The formation of the differential equations proper to the phenomena is, independent of their integration, a very important acquisition, on account of the approximations which mathematical analysis allows between questions, otherwise heterogeneous.
  • Mathematical analysis branch of mathematics that includes the theories of differentiation, integration, measure, limits, infinite series, and analytic functions. These theories areoften studied in the context of real numbers, complex numbers, and real and complex numbers and functions. Analysis evolved from calculus, which involves the elementary concepts and technique of analysis.
The logistics ofphysical items usually involves the integrationof information flow, material handling, production, packaging, inventory, transportation, warehousing, and often security.
Courage is the capacity to meet the anxiety which arises as one archives freedom.It is the willingness to differentiate, to move from the protecting realms of parental dependence to new levels of freedom and integration.
  • Decentralization may bring flexibility and fast response to changing business needs, as well as other benefits, but decentralization also makes systems integration difficult, presents a barrier to standardization, and acts as a disincentive toward achieving economies of scale. As a result, there is a need to balance the decentralization of IT management to business units with some centralized planning for technology, data, and human resources
 
In order to consolidate the euro we need to harmonise our economic, fiscal and social policies, hence we are going toward greater integration.We are going to put in place an economic system of governance of the Eurozone. Great Britain is not part of Eurozone; to at the same time the decisions we will take will have great importance to Britain. -Francois Fillon.
  • He had the charm of all people who believe implicitly in themselves, that of integration.

G - L

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  • The Internet is ultimately about innovation and integration, but you don't get the innovation unless you integrate Web technology into the processes by which you run your business.
  • Secular humanism contrasts with religious humanism, which is an integration of humanist ethical philosophy with religious rituals and beliefs that center on human needs, interests, and abilities.
  • Surely the mitochondrion that first entered another cell was not thinking about the future benefits of cooperation and integration; it was merely trying to make its own living in a tough Darwinian world.
 
Riemann-Darboux's integration (in blue) and Lebesgue integration (in red). - Does anyone believe that the difference between the Lebesgue and Riemann integrals can have physical significance - Richard Hammin
  • Does anyone believe that the difference between the Lebesgue and Riemann integrals can have physical significance, and that whether say, an airplane would or would not fly could depend on this difference? If such were claimed, I should not care to fly in that plane.
  • From a fundamental point of view, integration is less demanding than differentiation, as far as the conditions imposed on the class of functions. As a consequence, numerical integration is a lot easier to carry out than numerical differentiation.
    • Richard Hammin in: “Guide to Essential Math: A Review for Physics, Chemistry and Engineering Students”, p. 91
 
Riemann integrals - There are a number of standard procedures which can enable a large number of common integrals to be evaluated explicitly. -Richard Hammin.
  • There are a number of standard procedures which can enable a large number of common integrals to be evaluated explicitly. The simplest strategy is integration by substitution which means changing the variable of integration.
    • Richard Hammin in: “Guide to Essential Math: A Review for Physics, Chemistry and Engineering Students”, p. 91
 
*Integration is the annual technocultural fest of Indian Statistical Institute, usually held during the first and second weekend of January each year. It is one of the biggest fests in Kolkata, and attracts participation from all over the world. Integration is relatively a new addition to the set of Calcutta fests, and yet, it has carved out a niche for itself. ~ Indian Statistical Institute
 
Integrated circuit (IC) is a circuit in which all or some of the circuit elements are inseparably associated and electrically interconnected so that it is considered to be indivisible for the purposes of construction and commerce. ~ Jedec
  • Integrated circuit (IC) is a circuit in which all or some of the circuit elements are inseparably associated and electrically interconnected so that it is considered to be indivisible for the purposes of construction and commerce.
  • The most highly satisfactory use of the reverse-curve sign of integration used in calculus is for those two S-openings in the top of a violin
    • Charles Franklin Kettering in T.A Boyd, Professional Amateur (p.209), quoted in "Gaither's Dictionary of Scientific Quotations", p. 1070.
  • Now our struggle is for genuine equality, which means economic equality. ... What does it profit a man to be able to eat at an integrated lunch counter if he doesn't earn enough money to buy a hamburger and a cup of coffee?
  • We're moving to this integration of biomedicine, information technology, wireless and mobile now - an era of digital medicine. Even my stethoscope is now digital. And of course, there's an app for that.
 
People who allow others not of their race to live among them will perish, because the inevitable result of a racial integration is racial inter-breeding which destroys the characteristics and existence of a race. Forced integration is deliberate and malicious genocide, particularly for a people like the White Race who are now a small minority in the world. ~ David Lane (white nationalist)
  • People who allow others not of their race to live among them will perish, because the inevitable result of a racial integration is racial inter-breeding which destroys the characteristics and existence of a race. Forced integration is deliberate and malicious genocide, particularly for a people like the White Race who are now a small minority in the world.

M - R

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  • The key distinctive of a truly Christian education is the effective practice of worldview integration that is, an approach to biblical integration that leads to a Christian worldview.”
  • Common integration is only the memory of differentiation... The artifices by which it [integration] is effected, are changes, not from the unknown to the known, but from the forms in which memory will not serve to those in which it will
  • [Malcolm X] in keeping with the Nation's teachings he espoused black supremacy, advocated the separation of black and white Americans and scoffed at the civil rights movement's emphasis on integration.
  • The Generic Enterprise Reference Architecture and Methodology is about those methods, models and tools which are needed to build the integrated enterprise. The architecture is generic because it applies to most, potentially all types of enterprise.
    • Peter Bernus, Laszlo Nemes, in A Framework to Define a Generic Enterprise Reference Architecture and Methodology, The College of Information Sciences and Technology
  • ...way a knowledge-system is knit together is to learn at least a minimum knowledge-of-knowledge, until someday — someday, or some century — an Integrator would come, and things would be fitted together again. So time mattered not at all
  • Science is intimately integrated with the whole social structure and cultural tradition. They mutually support one other—only in certain types of society can science flourish, and conversely without a continuous and healthy development and application of science such a society cannot function properly.
  • The powers which tend to preserve, and those which tend to change the condition of the earth's surface, are never in equilibrio; the latter are, in all cases, the most powerful, and, in respect of the former, are like living in comparison of dead forces. Hence the law of decay is one which suffers no exception: The elements of all bodies were once loose and unconnected, and to the same state nature has appointed that they should all return... TIME performs the office of integrating the infinitesimal parts of which this progression is made up; it collects them into one sum, and produces from them an amount greater than any that can be assigned.
  • Science itself is badly in need of integration and unification. The tendency is more and more the other way … Only the graduate student, poor beast of burden that he is, can be expected to know a little of each. As the number of physicists increases, each specialty becomes more self-sustaining and self-contained. Such Balkanization carries physics, and indeed, every science further away, from natural philosophy, which, intellectually, is the meaning and goal of science.
  • The success and originality of American integration stem precisely from the fact that immigrants' descendants can perpetuate their ancestral cultures while thinking of themselves as Americans in the fullest sense, sharing basic ideals across racial and ethnic barriers. In France, the characteristic attitude of newcomers from North Africa, Turkey, and sub-Saharan Africa is predominantly one of alienation, confrontation, rejection, and hatred.
  • It's in the black players and it remains there. The National League was the first to sign black players and remained ahead all these years. And so many outstanding players are black that it's hard to have an outstanding team without your share of black players. It seemed like the National League teams were willing to sign any promising prospect regardless of color, while the American League was only interested in the outstanding, can't-miss black prospect. And if you don't sign the raw talent that needs a few years to develop, you lose out on some outstanding players.
    • Frank Robinson, as quoted in "Frank Robinson Sounds Off: Why the National League is Different—Better" by Bill Libby, in Sport (September 1972)
  • There is no one-size-fits-all solution to the challenges facing our cities or to the housing crisis, but the two issues need to be considered together. From an urban design and planning point of view, the well-connected open city is a powerful paradigm and an engine for integration and inclusivity.

S - Z

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A true balance between work and life comes with knowing that your life activities are integrated, not separated. ~ Michael Thomas Sunnarborg
 
Nature laughs at the difficulties of integration. ~ Pierre-Simon Laplace
  • It may appear as a superficial inequality, one that can be solved by merely a few reforms, or perhaps by the full integration of women into the labour force. But the reaction of the common man, woman, and child.
  • The more specific idea of Evolution now reached is - a change from an indefinite, incoherent homogeneity to a definite, coherent heterogeneity, accompanying the dissipation of motion and integration of matter.
  • Globalization (or Globalisation) is the increasing interdependence, integration and interaction among people and corporations in disparate locations around.
  • The emergence of a unified cognitive moment relies on the coordination of scattered mosaics of functionally specialized brain regions. Here we review the mechanisms of large-scale integration that counterbalance the distributed anatomical and functional organization of brain activity to enable the emergence of coherent behaviour and cognition.
  • Let us therefore see their actual conception, in thought and action, and see how many perspectives it actually takes into account and how many perspectives it attempts to integrate, and thus let us see how deep and how wide runs that bodhisattva vow to refuse rest until all perspectives whatsoever are liberated into their primordial nature.
  • It is vision-logic with its centauric/planetary worldview that, in my opinion, holds the only hope for the integration of the biosphere and noosphere, the supranational organization of planetary consciousness, the genuine recognition of ecological balance…
  • It's just like when you've got some coffee that's too black, which means it's too strong. What do you do? You integrate it with cream, you make it weak. But if you pour too much cream in it, you won't even know you ever had coffee. It used to be hot, it becomes cool. It used to be strong, it becomes weak. It used to wake you up, now it puts you to sleep.”
  • I believe in recognising every human being as a human being, neither white, black, brown nor red. When you are dealing with humanity as one family, there's no question of integration or intermarriage. It's just one human being marrying another human being, or one human being living around and with another human being.
  • We who follow the Honorable Elijah Muhammad feel that when you try and pass integration laws here in America, forcing white people to pretend that they are accepting black people, what you are doing is making white people act in a hypocritical way.
  • Of psychics were truly successful and if their results were not simply the consequence of trickery at worse or good interviewing skills (at best), then why don't law enforcement agencies have psychic detective squads, a real X-Files Unit, or other ways to integrate these paranormal investigative capabilities.
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Mathematics
Mathematicians
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Abel • Anaxagoras • Archimedes • Aristarchus of Samos • Averroes • Arnold • Banach • Cantor • Cartan • Chern • Cohen • Descartes • Diophantus • Erdős • Euclid • Euler • Fourier • Gauss • Gödel • Grassmann • Grothendieck • Hamilton • Hilbert • Hypatia • Lagrange • Laplace • Leibniz • Milnor • Newton • von Neumann • Noether • Penrose • Perelman • Poincaré • Pólya • Pythagoras • Riemann • Russell • Schwartz • Serre • Tao • Tarski • Thales • Turing • Weil • Weyl • Wiles • Witten

Numbers

1 • 23 • 360 • e • π • Fibonacci numbers • Irrational number • Negative number • Number • Prime number • Quaternion • Octonion

Concepts

Abstraction • Algorithms • Axiomatic system • Completeness • Deductive reasoning • Differential equation • Dimension • Ellipse • Elliptic curve • Exponential growth • Infinity • Integration • Geodesic • Induction • Proof • Partial differential equation • Principle of least action • Prisoner's dilemma • Probability • Randomness • Theorem • Topological space • Wave equation

Results

Euler's identity • Fermat's Last Theorem

Pure math

Abstract algebra • Algebra • Analysis • Algebraic geometry (Sheaf theory) • Algebraic topology • Arithmetic • Calculus • Category theory • Combinatorics • Commutative algebra • Complex analysis • Differential calculus • Differential geometry • Differential topology • Ergodic theory • Foundations of mathematics • Functional analysis • Game theory • Geometry • Global analysis • Graph theory • Group theory • Harmonic analysis • Homological algebra • Invariant theory • Logic • Non-Euclidean geometry • Nonstandard analysis • Number theory • Numerical analysis • Operations research • Representation theory • Ring theory • Set theory • Sheaf theory • Statistics • Symplectic geometry • Topology

Applied math

Computational fluid dynamics • Econometrics • Fluid mechanics • Mathematical physics • Science

History of math

Ancient Greek mathematics • Euclid's Elements • History of algebra • History of calculus • History of logarithms • Indian mathematics • Principia Mathematica

Other

Mathematics and mysticism • Mathematics education • Mathematics, from the points of view of the Mathematician and of the Physicist • Philosophy of mathematics • Unification in science and mathematics


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