They must learn to wear several hats, so to speak, working with management, sales and engineering problems related to the product.

In the Euclidean plane, the angle θ between two vectors u and v is related to their dot product and their lengths by the formula

" An abstraction " is the product of this process – a concept that acts as a super-categorical noun for all subordinate concepts, and connects any related concepts as a group, field, or category.

When assured by Mersenne that it was, indeed, the product of the son not the father, Descartes dismissed it with a sniff: " I do not find it strange that he has offered demonstrations about conics more appropriate than those of the ancients ," adding, " but other matters related to this subject can be proposed that would scarcely occur to a sixteen-year-old child.

This is related to binomials for the following reason: if we write ( x + y )< sup > n </ sup > as a product

Within chemical engineering, two broad subgroups include 1 ) design, manufacture, and operation of plants and machinery in industrial chemical and related processes (" chemical process engineers "); and 2 ) development of new or adapted substances for products ranging from foods and beverages to cosmetics to cleaners to pharmaceutical ingredients, among many other products (" chemical product engineers ").

The company said " Upon additional analysis of the business jet market related to this product offering, we decided to formally cancel further development of the Citation Columbus ".

The interaction between research and database related product development has been very productive to the database area, and many related key concepts and technologies emerged from it.

Whilst the terms are often used interchangeably, branding is more strictly related to the identifying mark or trade name for a product or service, whereas corporate identity can have a broader meaning relating to the structure and ethos of a company, as well as to the company's external image.

The number of atoms that would be produced, would be approximately equal to the number of atoms of target material times its cross section times the ion beam intensity times the time of bombardment related to the half-life of the product when bombarding for a time of the order of its half-life ).

One might then try to invoke Newton's second law of motion by saying that the external force on the object is related to its momentum by, but this is incorrect, as is the related expression found by applying the product rule to:

A related product, prepared from the unrelated green algae Monostroma and Enteromorpha, is called aonori ( literally blue / green nori ) and is used like herbs on everyday meals, such as okonomiyaki and yakisoba.

Methods related to the quadratic sieve approach for integer factorization may be used to collect relations between prime numbers in the number field generated by √ n, and to combine these relations to find a product representation of this type.

In topology and related areas of mathematics, a product space is the cartesian product of a family of topological spaces equipped with a natural topology called the product topology.

Moreover, the above-mentioned stiffness is quantitatively related to the so-called " area law " behaviour of the expectation value of the Wilson loop product P < sub > W </ sub > of the ordered coupling constants around a closed loop W ; i. e. is proportional to the area enclosed by the loop.

The need for requirements documentation is typically related to the complexity of the product, the impact of the product, and the life expectancy of the software.

In this basis only and are nonzero, and the inequality reduces to the algebra of dot product in the plane, which is related to the angle between two vectors, from which we obtain the inequality:

* Aftermarket ( merchandise ), any market where customers who buy one product or service are likely to buy a related, follow-on product.

The original Worcestershire sauce is a related product because it is fermented and contains anchovies.

This arrangement was for Copernicus literally monstrous: `` With ( the Ptolemaists ) it is as though an artist were to gather the hands, feet, head and other members for his images from divers models, each part excellently drawn, but not related to a single body ; ;

On the other hand, the bright vision of the future has been directly stated in science fiction concerned with projecting ideal societies -- science fiction, of course, is related, if sometimes distantly, to that utopian literature optimistic about science, literature whose period of greatest vigor in the late nineteenth and early twentieth centuries produced Edward Bellamy's Looking Backward and H. G. Wells's A Modern Utopia.

There is, of course, nothing new about dystopias, for they belong to a literary tradition which, including also the closely related satiric utopias, stretches from at least as far back as the eighteenth century and Swift's Gulliver's Travels to the twentieth century and Zamiatin's We, Capek's War With The Newts, Huxley's Brave New World, E. M. Forster's `` The Machine Stops '', C. S. Lewis's That Hideous Strength, and Orwell's Nineteen Eighty-Four, and which in science fiction is represented before the present deluge as early as Wells's trilogy, The Time Machine, `` A Story Of The Days To Come '', and When The Sleeper Wakes, and as recently as Jack Williamson's `` With Folded Hands '' ( 1947 ), the classic story of men replaced by their own robots.

The theme of The Walnut Trees Of Altenburg is most closely related to its immediate predecessor in Malraux's array of novels: Man's Hope ( 1937 ).

Lawrence Ferlenghetti and Bruce Lippincott have concentrated on writing a new poetry for reading with jazz that is very closely related to both the musical forms of jazz, and the vocabulary of the musician.

Closely related to his illusions about his typicality is Krim's complicated feeling about his Jewishness.

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.

Prior to and since 1960 the rest of the support allotment is matched at rates related to the fiscal capacity of the State, with a pivot of 40% State ( or 60% Federal ) participation in total program costs.

These roads are largely of less than highway standards, and usually carry traffic which is related to use of the National Forests.

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.

At that time consideration will be given to whether in the light of the United States supplies of rice available for Title 1, disposal, India's production, consumption and stocks of food grains, other imports from the United States and countries friendly to the United States, India's storage capacity, and other related factors, any increase would be possible in the portion of the total rice programmed which is currently planned for procurement during the first year.

Shape of the area is also related to the use attractions and needs of the development.

Every single problem touched on thus far is related to good marketing planning.

Such an instrument is expected to be especially useful if it could be used to measure the elasticity of heavy pastes such as printing inks, paints, adhesives, molten plastics, and bread dough, for the elasticity is related to those various properties termed `` length '', `` shortness '', `` spinnability '', etc., which are usually judged by subjective methods at present.

Although the Af calculation is obvious by analogy with that for gravitational field and osmotic pressure, it is interesting to confirm it by a method which can be generalized to include related effects.

Although there is no question but that the process of washing fabrics involves a number of phenomena which are related together in an extremely complicated way and that these phenomena and their interrelations are not well understood at the present, this section attempts to present briefly an up-to-date picture of the physical chemistry of washing either fabrics or hard surfaces.

This `` ejection '' momentum is linearly related to the particle energy.

The mass scale used in Table 5-1 was derived on the assumption that the motion of the glowing trail is related to the momentum transfer to the trail by the meteorite, permitting the calculation of the mass if the velocity is known ( Cook and Whipple, 1958 ).

Furthermore, conditioned reactions are fundamentally altered when the hypothalamic sympathetic reactivity is augmented beyond a critical level, and several types of behavioral changes probably related to the degree of central autonomic `` tuning '' are observed.

Several related tasks must be carried out if self-sustaining growth is to be achieved.

Closely related to this function is the fact that the religious system provides a body of ultimate ends for the society, which are compatible with the supreme eternal ends.

In addition, there are many areas of the human situation besides the impact of science and technology which are examined, for science-fiction dystopias often extrapolate political, social, economic tendencies only indirectly related to science and technology.

Perhaps a clue to these and related problems lies in the fact that changes in the intensity of hypothalamic discharges which are associated with changes in its balance lead also to qualitative alterations in reactivity.

However, because of Church laws, lately more stringently enforced, which forbid the marriage of cousins closely related consanguineously, a means of facilitating the goal of in-group relations may be that of recourse to illegitimate unions.

Some predictions had been made concerning factors R, N, I and Co on these inventories which appeared to be directly related to control and security aspects of personality functioning which were hypothesized as being of importance in differential Kohnstamm reactivity.

The second productive period, the decade from 1910 to 1920, can be related to three events: the completion of The Dynasts in 1909, which left Hardy free of pressure for the first time in forty years ; ;

The increase in oxygen uptake rates from 1.2 to 2.6 mg/l/hr which followed an increase in rotor speed was believed to be related to resuspension of solids which had settled at the lower rotor speeds.

Therefore employment and education in all the schools in a metropolitan area are related in different ways from those which are characteristic of the comprehensive high school described in my first report.

In fact, during the first century B.C., an extensive literature sprang up devoted to these subjects, finding its typical expression in the so-called `` wei books '', a number of which were specifically devoted to the Lo Shu and related numerical diagrams, especially in connection with divination.

* Subclass Lepospondyli † ( small Paleozoic group, sometimes included in the Labyrinthodontia, which may actually be more closely related to amniotes than Lissamphibia )

The aardvark is not closely related to the pig ; rather, it is the sole recent representative of the obscure mammalian order Tubulidentata, in which it is usually considered to form one variable species of the genus Orycteropus, the sole surviving genus in the family Orycteropodidae.

They differ from other related families by often being pachycauline ( i. e. with a thickened trunk, usually wider at the base, which has a water storage function ), by usually having succulent leaves, and by possessing a trimerous flower with a superior ovary and seeds with an aryl.

* Earliest day on which Ascension Day can fall, while June 3 is the latest ; celebrated 40 days after Easter ( Christianity ), and its related observances

Among the many volumes of the holy Rabbi Yitzchak Luria ( known as the " Ari "), most of which come downfrom the pen of his primary disciple, Rabbi Chaim Vital, are profound insights explaining issues related to reincarnation.

There are no records of any military related acts in his time in which he participated.