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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 tool
It is not a tool for dealing with these crises after they have erupted.
Although Mr. Brown was not himself its inventor ( it was a French idea ), it is typical that his intuition first conceived the importance of mass producing this basic tool for general use.
Recently added is the Brown & Sharpe turret drilling machine which introduces the company to an entirely new field of tool development.
A new waterfront site for the bureau is now being built at Atlantic City, New Jersey, to provide the most modern marine testing facilities as a further tool to keep the sport safe.
If the background of design is too smooth, or you wish to create a wood-grained effect, it may be added at this time with a dull tool such as the handle of a fine paintbrush.
The size of the press is usually expressed in terms of chuck capacity ( the maximum diameter tool shank it will hold ) or distance between the spindle center and the column.
The great absorbency of this tissue and the fact that it is easier to control than a sponge makes it an ideal tool for the watercolorist.
And every sound that might be the rain also might be the man who thinks after he has raped you he has to beat your brains out with a tire tool so you won't tell, a combination like ham and eggs, rape her and kill her, and that is being an old maid too.
" In short, ANOVA is a statistical tool used in several ways to develop and confirm an explanation for the observed data.
The abacus ( plural abaci or abacuses ), also called a counting frame, is a calculating tool used primarily in parts of Asia for performing arithmetic processes.
Ambiguity is a powerful tool of political science.
The Internet is an essential tool of amateur astronomers.
* International Jazz Day, organized by UNESCO, first observed in 2012, " is intended to raise awareness in the international community of the virtues of jazz as an educational tool, and a force for peace, unity, dialogue and enhanced cooperation among people.
Alternate history is related to but distinct from counterfactual history — the term used by some professional historians when using thoroughly researched and carefully reasoned speculations on " what might have happened if ..." as a tool of academic historical research.
A grapnel is often quite light, and may have additional uses as a tool to recover gear lost overboard.
Ambrose displayed a kind of liturgical flexibility that kept in mind that liturgy was a tool to serve people in worshiping God, and ought not to become a rigid entity that is invariable from place to place.
The technique is named after actor Frederick Matthias Alexander, who developed its principles in the 1890s as a personal tool to alleviate breathing problems and hoarseness during public speaking.
Guided modeling with light hand contact is the primary tool for detecting and guiding the way past unnecessary effort.
Exercise as a teaching tool is deliberately omitted because of a common mistaken assumption that there exists a " correct " position.
A portable hand-held clamp-on ammeter is a common tool for maintenance of industrial and commercial electrical equipment, which is temporarily clipped over a wire to measure current.
Dual wielding is holding a tool or weapon in each hand.
" Opponent On-base Plus Slugging " ( OOPS ) is becoming a popular tool to evaluate a pitcher's actual performance.

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