Value (mathematics)

Value (mathematics)

In mathematics, value commonly refers to the 'output' of a function. In the most basic case, that of unary, single-valued functions, there is one input (the "argument") and one output (the "value of the function").:Example: If the function f is defined by prescribing that f(x) = 2x^2-3x+1 for each real number x, then the input 3 will yield the function value 10 (since indeed 2cdot3^2-3cdot3+1 = 10).The function f of the example is real-valued, since each and every possible function value is real. On the other hand, it is not injective, since different inputs may yield the same value; e.g., f(-1.5) = 10, too.

In some contexts, for convenience, functions may be considered to have several arguments and/or several values; also cf. the discussion in the article function. However, strictly seen, this is not an extension, since such functions may be considered as having single families and/or sets as input or output.

Value is also used in other senses, e.g., to specify a certain instance of a variable.:Example: f(x) = 0 for two separate values of x, namely, for x=0.5 and for x=1.

See also

*Absolute value
*Valuation (mathematics)
*Value distribution theory of holomorphic functions


Wikimedia Foundation. 2010.

Игры ⚽ Нужно решить контрольную?

Look at other dictionaries:

  • Value — may refer to: *Value (mathematics), the value of a variable in mathematics. *Value (philosophy), the degree of importance, including the value independent on subjective valuations by any individual *Value (personal and cultural), the principles,… …   Wikipedia

  • Mathematics education in Australia — varies considerably between various states due to the different education systems in place in each state. Contents 1 New South Wales 1.1 Higher School Certificate 2 Victoria 2.1 …   Wikipedia

  • Mathematics and art — have a long historical relationship. The ancient Egyptians and ancient Greeks knew about the golden ratio, regarded as an aesthetically pleasing ratio, and incorporated it into the design of monuments including the Great Pyramid,[1] the Parthenon …   Wikipedia

  • mathematics — /math euh mat iks/, n. 1. (used with a sing. v.) the systematic treatment of magnitude, relationships between figures and forms, and relations between quantities expressed symbolically. 2. (used with a sing. or pl. v.) mathematical procedures,… …   Universalium

  • Mathematics and Physical Sciences — ▪ 2003 Introduction Mathematics       Mathematics in 2002 was marked by two discoveries in number theory. The first may have practical implications; the second satisfied a 150 year old curiosity.       Computer scientist Manindra Agrawal of the… …   Universalium

  • mathematics, East Asian — Introduction       the discipline of mathematics as it developed in China and Japan.       When speaking of mathematics in East Asia, it is necessary to take into account China, Japan, Korea, and Vietnam as a whole. At a very early time in their… …   Universalium

  • MATHEMATICS — Bible The Bible does not deal directly with proper mathematical subjects; however there are some parts that do relate indirectly to different mathematical topics. These are widely discussed by the various commentators on the Bible and Talmud: the …   Encyclopedia of Judaism

  • mathematics, South Asian — Introduction       the discipline of mathematics as it developed in the Indian (India) subcontinent.       The mathematics of classical Indian civilization is an intriguing blend of the familiar and the strange. For the modern individual, Indian… …   Universalium

  • mathematics, philosophy of — Branch of philosophy concerned with the epistemology and ontology of mathematics. Early in the 20th century, three main schools of thought called logicism, formalism, and intuitionism arose to account for and resolve the crisis in the foundations …   Universalium

  • Mathematics of bookmaking — In betting parlance, making a book is the practice of laying bets on the various possible outcomes of a single event. The term originates from the practice of recording such wagers in a hard bound ledger (the book ) and gives the English language …   Wikipedia

Share the article and excerpts

Direct link
Do a right-click on the link above
and select “Copy Link”