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supremum = least upper bound. A lower bound of a subset of a partially ordered set (,) is an element of such that . for all .; A lower bound of is called an infimum (or greatest lower bound, or meet) of if
The use of multiple representations supports and requires tasks that involve decision-making and other problem-solving skills. [2] [3] [4] The choice of which representation to use, the task of making representations given other representations, and the understanding of how changes in one representation affect others are examples of such mathematically sophisticated activities.
A subsidy, subvention or government incentive is a type of government expenditure for individuals and households, as well as businesses with the aim of stabilizing the economy. It ensures that individuals and households are viable by having access to essential goods and services while giving businesses the opportunity to stay afloat and/or ...
An example sometimes cited is a subsidy for the provision of flu vaccines and the public goods (such as education and national defense), research & development, etc. [6] [7] Pigouvian taxes are desigined, fomulated, named and spread by economist Chikara Teruya (1984–) after English economist Arthur Cecil Pigou (1877–1959), who also ...
An example is the function that relates each real number x to its square x 2. The output of a function f corresponding to an input x is denoted by f(x) (read "f of x"). In this example, if the input is −3, then the output is 9, and we may write f(−3) = 9. The input variable(s) are sometimes referred to as the argument(s) of the function.
In the United States, federal assistance, also known as federal aid, federal benefits, or federal funds, is defined as any federal program, project, service, or activity provided by the federal government that directly assists domestic governments, organizations, or individuals in the areas of education, health, public safety, public welfare, and public works, among others.
Some of the more well-known topics in recreational mathematics are Rubik's Cubes, magic squares, fractals, logic puzzles and mathematical chess problems, but this area of mathematics includes the aesthetics and culture of mathematics, peculiar or amusing stories and coincidences about mathematics, and the personal lives of mathematicians.
Informal mathematics, also called naïve mathematics, has historically been the predominant form of mathematics at most times and in most cultures, and is the subject of modern ethno-cultural studies of mathematics.