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Geombinatorics and is
He is an editor and a frequent contributor to Geombinatorics.

Geombinatorics and .
Paul Erd &# 337 ; s was an editor of and active contributor to Geombinatorics.

is and mathematical
A mathematical formula is nothing more than a pattern for solving a specific problem.
The equation is used for the mathematical process of solving the problem.
However, it is essential that the various mathematical symbols used in the equations be understood so that the mathematical processes can be done properly and in their correct order.
We devote a chapter to the binomial distribution not only because it is a mathematical model for an enormous variety of real life phenomena, but also because it has important properties that recur in many other probability models.
It has become painfully clear that the very attempt to make the language of social research free of values by erecting mathematical and physical models, is itself a conditioned response to a world which pays a premium price for technological manipulation.
A mathematical block diagram for the leveling system is shown in Fig. 7-2.
So, too, is the mathematical competence of a college graduate who has majored in mathematics.
The importance of this 5 can largely be explained by the natural mathematical properties of the middle number and its special relationship to all the rest of the numbers -- quite apart from any numerological considerations, which is to say, any symbolic meaning arbitrarily assigned to it.
it is also their mathematical mean, since it is equal to half the sum of every opposing pair, all of which equal 10.
With the Prior Analytics, Aristotle is credited with the earliest study of formal logic, and his conception of it was the dominant form of Western logic until 19th century advances in mathematical logic.
The study of altruism was the initial impetus behind George R. Price's development of the Price equation, which is a mathematical equation used to study genetic evolution.
The working principle of a yupana is unknown, but in 2001 an explanation of the mathematical basis of these instruments was proposed by Italian mathematician Nicolino De Pasquale.
The abacus teaches mathematical skills that can never be replaced with talking calculators and is an important learning tool for blind students.
One motivation for this use is that a number of generally accepted mathematical results, such as Tychonoff's theorem, require the axiom of choice for their proofs.
However, that particular case is a theorem of Zermelo – Fraenkel set theory without the axiom of choice ( ZF ); it is easily proved by mathematical induction.
The absolute value is closely related to the notions of magnitude, distance, and norm in various mathematical and physical contexts.
In mathematics, an automorphism is an isomorphism from a mathematical object to itself.
In the context of abstract algebra, for example, a mathematical object is an algebraic structure such as a group, ring, or vector space.
In mathematical notation, this is:
An atomic orbital is a mathematical function that describes the wave-like behavior of either one electron or a pair of electrons in an atom.
Acoustic theory is the field relating to mathematical description of sound waves.
The mathematical equation for an ideal gas undergoing a reversible ( i. e., no entropy generation ) adiabatic process is

is and research
The thousands of city migrants who desert the farms yearly must readjust with even greater stress and tension: the sacred wilderness is gradually surrendering to suburbs and research parks and industrial areas.
Next I refer to our program in space exploration, which is often mistakenly supposed to be an integral part of defense research and development.
The `` conventional '' image of a particular time and place is not necessarily congruent with the image of the facts as established over the years by scholarly and scientific research.
These are, if the research is done with subtlety and skill, researchable topics, but the research is missing.
Here we may observe that at least one modern philosophy of history is built on the assumption that ideas are the primary objectives of the historian's research.
It is obvious that the historian who seeks to recapture the ideas that have motivated human behavior throughout a given period will find the art and literature of that age one of his central and major concerns, by no means a mere supplement or adjunct of significant historical research.
In the latter research program, information is available for 2,758 Cornell students surveyed in 1950 and for 1,571 students surveyed in 1952.
And to do this requires first of all the kind of information about people which is provided by the scientists in industrial anthropology and consumer research, who, for example, tell Courtenay that three days is the `` optimum priming period for a closed social circuit to be triggered with a catalytic cue-phrase '' -- which means that an effective propaganda technique is to send an idea into circulation and then three days later reinforce or undermine it.
The research center of the University's School of Business and Public Administration is prepared to undertake the analysis Dr. Ellis has been talking about.
In view of the increasing shortage of usable surface and ground water in many parts of the Nation and the importance of finding new sources of supply to meet its present and future water needs, it is the policy of the Congress to provide for the development of practicable low-cost means for the large-scale production of water of a quality suitable for municipal, industrial, agricultural, and other beneficial consumptive uses from saline water, and for studies and research related thereto.
The Institute is engaged in an extensive program of medico-military scientific research in both morphological and experimental pathology.
New obligational authority for 1961 recommended in this budget for aircraft procurement ( excluding amounts for related research and construction ) totals $4,753 million, which is $1,390 million below that enacted for 1960.
On the other hand, the new authority of $3,825 million proposed for missile procurement ( excluding research and construction ) in 1961 is $581 million higher than for 1960.
Much of this necessary increase in research and development, though properly chargeable to current expenses, is not reflected in earnings until projects are completed and the new machines sold in quantity, usually over a period of several years.
In addition to its major effort on fuel cells, Patterson Moos Research Division is continuing to carry on research in other fields, both under contract for the Defense Department, other government agencies and for our own account.
In this article we will concentrate on the advances in the application of electronics in bio-medical research laboratories because this is where tomorrow's commonplace equipment originates.
At the present time the research team which pioneered this new technique is primarily interested in advancing and perfecting it.
A separate research department is, of course, confined to new or future designs.
The highest position is known as a ' research scientist.
The highest rated non-supervisory engineering title is ' research engineer.

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