The McGraw-Hill Companies, Inc.

行业: Printing & publishing

Number of terms: 178089

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Company Profile:

McGraw Hill Financial, Inc. is an American publicly traded corporation headquartered in Rockefeller Center in New York City. Its primary areas of business are financial, publishing, and business services.

arboriculture

A branch of horticulture concerned with the selection, planting, and care of woody perennial plants. Knowing the potential form and size of plants is essential to effective landscape planning as well as to the care needed for plants. Arborists are concerned primarily with trees since they become large, are long-lived, and dominate landscapes both visually and functionally.

Industry:Science

measure theory

A branch of mathematical analysis connected with the theory of integration. In order to discuss this subject, a formal definition of the term measure must be given.

Industry:Science

minimal surfaces

A branch of mathematics belonging to the calculus of variations, differential geometry, and geometric measure theory. A surface, interface, or membrane is called minimal when it has assumed a geometric configuration of least area among those configurations into which it can readily deform. Soap films spanning wire frames or compound soap bubbles enclosing volumes of trapped air are common examples.

Industry:Science

geometry

A branch of mathematics concerned with the properties of space, including points, lines, curves, planes and surfaces in space, and figures bounded by them.

Industry:Science

arithmetic

A branch of mathematics dealing with numbers, operations on numbers, and computation. Arithmetic is useful in solving many practical problems, such as buying, selling, budgets, sports statistics, and measurement. The usual numbers of arithmetic are whole numbers, fractions, decimals, and percents. Beyond the numbers of arithmetic are negative numbers, rational numbers, and irrational numbers. The rational and irrational numbers together constitute the real numbers.

Industry:Science

analytic geometry

A branch of mathematics in which algebra is applied to the study of geometry. Because algebraic methods were first systematically applied to geometry in 1637 by the French philosopher-mathematician René Descartes, the subject is also called cartesian geometry. The basis for an algebraic treatment of geometry is provided by the existence of a one-to-one correspondence between the elements, “points” of a directed line g, and the elements, “numbers,” that form the set of all real numbers. Such a correspondence establishes a coordinate system on g, and the number corresponding to a point of g is called its coordinate. The point O of g with coordinate zero is the origin of the coordinate system. A coordinate system on g is cartesian provided that for each point P of g, its coordinate is the directed distance OP. Then all points of g on one side of O have positive coordinates (forming the positive half of g) and all points on the other side have negative coordinates. The point with coordinate 1 is called the unit point. Since the relation OP+PQ = OQ is clearly valid for each two points P, Q, of directed line g, then PQ = OQ−OP = q−p, where p and q are the coordinates of P and Q, respectively. Those points of g between P and Q, together with P, Q, form a line segment. In analytic geometry it is convenient to direct segments, writing PQ or QP accordingly as the segment is directed from P to Q or from Q to P, respectively. To find the coordinate of the point P that divides the segment P1P2 in a given ratio r, put P1P/P2P = r. Then (x−x1)/(x−x2) = r, where x1, x2, x are the coordinates of P1, P2, P, respectively, and solving for x gives x = (x1−rx2)/(1 −r). Clearly r is negative for each point between P1, P2 and is positive for each point of g external to the segment. The midpoint of the segment divides it in the ratio −1, and hence its coordinate x = (x1 + x2)/2.

Industry:Science

graph theory

A branch of mathematics that belongs partly to combinatorial analysis and partly to topology. Its applications occur (sometimes under other names) in electrical network theory, operations research, organic chemistry, theoretical physics, and statistical mechanics, and in sociological and behavioral research. Both in pure mathematical inquiry and in applications, a graph is customarily depicted as a topological configuration of points and lines, but usually is studied with combinatorial methods.

Industry:Science

differential geometry

A branch of mathematics that deals with intrinsic properties of curves and surfaces in three-dimensional euclidean space. The intrinsic properties are those which are independent of the geometrical object's orientation or location in space. The subject is also concerned with nets of curves and families of surfaces, these having wide application in the arts.

Industry:Science

boolean algebra

A branch of mathematics that was first developed systematically, because of its applications to logic, by the English mathematician George Boole, around 1850. Closely related are its applications to sets and probability.

Industry:Science

sports medicine

A branch of medicine concerned with the effects of exercise and sports on the human body, including treatment of injuries. Sports medicine can be divided into three general areas: clinical sports medicine, sports surgery, and the physiology of exercise. Clinical sports medicine includes the prevention and treatment of athletic injuries and the design of exercise and nutrition programs for maintaining peak physical performance. Sports surgery is also concerned with the treatment of injuries from contact (human or object) sports. Exercise physiology, a growing field of sports medicine, involves the study of the body's response to physical stress. It comprises the science of fitness, the preservation of fitness, and the role of fitness in the prevention and treatment of disease.

Industry:Science