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Topic: Mathematical function


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In the News (Fri 14 Dec 18)

  
  Mathematical Poetry
The “mathematical function” that I am speaking of is to be experienced with ones intuition as opposed to being explicitly described as a single curve on a Cartesian coordinate system.
Each mathematical term “a” “b” “d” or “e”(see similar triangles poem) is a word or phrase.
Visualizing the exact mathematical function of “Caring as a function of time” would be impossible with the small amount of information given however; a single point on that function is present in the poem even if it is nebulous in form.
mathematicalpoetry.blogspot.com   (1949 words)

  
  Learn more about Function in the online encyclopedia.   (Site not responding. Last check: )
The most familiar kind of function is that where the argument and the function's value are both numbers, and the functional relationship is expressed by a formula, and the value of the function is obtained from the arguments by direct substitution.
As a mathematical term, "function" was coined by Leibniz in 1694, to describe a quantity related to a curve; such as a curve's slope or a specific point of said curve.
Those functions, first thought as purely imaginary and called collectively "monsters" as late as the turn of the 20th century, were later found to be important in the modelling of physical phenomena such as Brownian motion.
www.onlineencyclopedia.org /f/fu/function.html   (2179 words)

  
  Function (mathematics) - Wikipedia, the free encyclopedia
Thus, the "is a square root of" relation is a function, and it contains for example, the pairs (3, 9) and (-3, 9); while the converse, "is the square of" relation, is not a function because it contains both the pairs (9, 3) and (9, −3), and 3 is not equal to −3.
In this definition, a function is a special case of a relation, in particular a function is a relation in which every first element has a unique second element.
The number of computable functions from integers to integers is countable, because the number of possible algorithms is. The number of all functions from integers to integers is higher: the same as the cardinality of the real numbers.
en.wikipedia.org /wiki/Mathematical_function   (3457 words)

  
 Function Extraction
Function extraction (FX) is a disruptive new technology that will substantially improve the economics of software development and increase the dependability of software systems.
The SEI's CERT STAR*Lab is developing the emerging technology of function extraction, which applies mathematical foundations to automate calculation of the behavior of software to the maximum extent possible.
Legacy systems: Function extraction can be applied to legacy systems to recover specification and design information to enable informed modification and evolution.
www.cert.org /sse/fxmc.html   (583 words)

  
 Functional Programming with Python LG #109
The functional programming paradigm encourages us to structure our programs as collections of `pure' functions which do not have any global state and which do not make use of the assignment operator (note that this is not possible in all situations; a banking system will surely have to `remember' lots of stuff).
Functional programmers use recursive invocation of functions (iteration is considered to be a special case of recursion and specific iteration constructs like the `while' or `for' loop may be absent altogether) to program repetitive behaviour.
Functions are considered `first class', ie, they can be passed to other functions and returned from other functions thereby facilitating the creation of what are called `higher order functions' - a powerful idea which can capture concisely many complex computational patterns when combined with the idea of `closures'.
linuxgazette.net /109/pramode.html   (1813 words)

  
 Production function - Wikipedia, the free encyclopedia
Under certain assumptions, the production function can be used to derive a marginal product for each factor, which implies an ideal division of the income generated from output into an income due to each input factor of production.
Other forms include the constant elasticity of substitution production function (CES) which is a generalized form of the Cobb-Douglas function, and the quadratic production function which is a specific type of additive function.
Homothetic functions are a special class of homogeneous function in which the marginal rate of technical substitution is constant along the function.
en.wikipedia.org /wiki/Production_function   (1965 words)

  
 Student Investigation of Mathematical Functions
The primary objectives focus on introducing students to the mathematical function is Pascal and building on the input-process-output construct of computer operation.
Mathematical function are programs in Pascal that have been complied and placed in library files for your usage.
The functions are convenient because they are frequently used and you don't have to type the program in when you want to use it.
educ.queensu.ca /~compsci/lessons/MathFunctions_K_Hurlington.html   (1073 words)

  
 math lessons - Function (mathematics)
The term operation is frequently used for binary functions; functions whose domain is a set of functions, or a vector space, are often called operators (see also operator (programming)).
Strictly speaking, an ambiguous function is not truly a function because a mathematical function is defined as having "a unique output to each given input".
Functions in applications are often functions of several variables, or multivariate functions: the values they take depend on a number of different factors.
www.mathdaily.com /lessons/Function_(mathematics)   (2825 words)

  
 Analytical Engine Mathematical Function Library
Function evaluation leaves the Mill in whatever operation state was last used by the function cards.
Mathematical function libraries on modern computers generally use polynomial approximations optimised for the computer's word length.
Demonstrate mathematical function library by calculating inverses and identities of the various functions.
www.fourmilab.ch /babbage/library.html   (1485 words)

  
 K&L Microwave, Inc. - Filtering Solutions For Your Global Market   (Site not responding. Last check: )
A mathematical function used to yield maximally constant amplitude response in a filter with no consideration for time delay or phase response.
A mathematical function used to yield the squarest possible amplitude filter response with a given number of circuit elements.
Chebyshev and Elliptic Function filters ideally have equi-ripple characteristics, which means that the differences in peaks and valleys of the amplitude response in the passband are always the same.
www.klmicrowave.com /ecommerce/filterdef.shtml   (1054 words)

  
 SAS/C Library Changes in Release 7.50 : Updates to Mathematical Functions
Some functions are not applicable to hexadecimal floating point, and may return meaningless results when called in that environment.
Unlike the transcendental functions, these functions perform low-level floating-point operations that are often closely connected with their representation in memory.
When this header file is included, most of the mathematical functions are redefined as type-generic macros, which select the proper function based on the type of their arguments.
support.sas.com /documentation/onlinedoc/sasc/doc750/html/75chgs/z2527251.htm   (1476 words)

  
 Understanding Calculus
The mathematical function expresses the relationship between a situation and the conditions that define it.
Thus force is a function of two dimensions, mass and acceleration while force is the third dimension dependent on m and a of the system.
Therefore, mass as a function of its acceleration and the force acting on it, is the force divided by the acceleration.
www.understandingcalculus.com /chapters/03/3-3.php   (572 words)

  
 Glossary: A Quick Guide to the Mathematical Jargon
Since the rate of change of a function is its derivative, the acceleration is the derivative of the velocity function.
A mathematical function is a machine where you put in a real number (often denoted by a variable x, but sometimes by t or some other letter) and it spits out a new real number.
An inverse trigonometric function is the function that reverses the effect of the original trig function, kind of like the democrats and the republicans, when they are taking turns being elected to power.
www.math.ucdavis.edu /~hass/Calculus/HTAC/excerpts/node39.html   (4444 words)

  
 The GNU C Library - Mathematics
Inverse Trig Functions: Arc sine, arc cosine, and arc tangent.
Some of these functions are defined mathematically to result in a complex value over parts of their domains.
A related problem is that the mathematical result of a function may not be representable as a floating point number.
www.informatik.uni-hamburg.de /RZ/software/gnu/libraries/libc_13.html   (1393 words)

  
 Function Functions (Mathematics)   (Site not responding. Last check: )
This function can be used as input to any of the function functions.
A second way to represent a mathematical function at the command line is by creating an inline object from a string expression.
All of the functions described in this chapter are called function functions because they accept, as one of their arguments, either a function handle to a function like
www.eco.utexas.edu /helpdocs/matlab/math_anal/ch_7_fu3.html   (202 words)

  
 The mathematical function library in C++
In this use of a function there are no output parameters, the single result that the function produces is returned to the calling program via the name of the function.
is used as a formal parameter, that is it is used to denote that a parameter is required and to allow the effect of the function to be described.
The function call can then be used anywhere in an expression that an ordinary variable may be used.
www.cee.hw.ac.uk /~pjbk/pathways/cpp1/node155.html   (299 words)

  
 Data security: A problem in search of a mathematical theory
In particular, a certain kind of mathematical function called a "hash function" is central in the design of cryptographic systems that protect electronic communications.
A hash function is an easy-to-compute compression function that takes as input any string of computer bits and distills that string down to a fixed-length output string: Whether the input is an 8-character password or a 100-page document, the hash function outputs a string of a fixed length.
Her central point is that the mathematical theory of hash functions needs much more development before researchers can come up with more secure hash algorithms for tomorrow's applications.
www.eurekalert.org /pub_releases/2006-02/ams-dsa020106.php   (546 words)

  
 Interactive On-line Exercises of Basic Mathematical Functions -- from Mathematica Information Center
In this paper, a system is described for serving on-line exercises of mathematical functions for high-school students.
An exercise page has a graph of a mathematical function and requests a student to fill the text field with a mathematical expression appropriate for the graph.
The exercises have been developed for students who have difficulty in understanding mathematical functions in the author´s algebra course, who seem to lack graphical images of the functions they learned in the classes.
library.wolfram.com /infocenter/Conferences/6168   (466 words)

  
 Mathematical function - Bessel Function of the First Kind -- from Wolfram MathWorld
Mathematical function libraries on modern computers generally use polynomial approximations optimised for the computer's word length.
The mathematical concept of a function expresses the intuitive idea of deterministic Mathematical functions are frequently denoted by letters,
Mathematical functions return values commonly needed for operations on mathematical data.
xn--ruqums02k.com /jxgm/mathematical-function.htm   (939 words)

  
 Mathematical Background
The function abs is not one-to-one because all the elements of N except 0 are the images of two different elements of Z.
Whenever a function is applied to its arguments, such as f(5), the function may be evaluated by replacing the name f with the body of the definition and substituting the argument 5 for every occurrence of the formal parameter x.
Since predicates (or relations) are functions that yield truth values as results and since the Boolean operators are functions that take truth values as their inputs, predicates can be combined with the same operators used in the propositional logic.
www.jfsowa.com /logic/math.htm   (14429 words)

  
 Desktop Software Support: Microsoft Excel - Formulas
A formula is a set of mathematical instructions that use cell references and operators to answer a question about data stored in the spreadsheet.
Mathematical operators refers to the symbol used to indicate a mathematical function.
Operators are the method of mathematical function used to return the desired output such as Plus, Minus, Divided by, etc. Below is a listing of the common Operators used in Excel:
www.hms.harvard.edu /it/swinfo/mse_formulas.html   (542 words)

  
 Table of mathematical symbols Summary
It is difficult to understate the importance of mathematical symbolism on both the field of mathematics and on the other fields that use mathematics.
All of these symbols, mathematical included, depend on recognition to succeed; a person unschooled in mathematics will see π simply as a Greek letter or, depending on their educational background, as simple a grouping of three lines.
f '(x) is the derivative of the function f at the point x, i.e., the slope of the tangent to f at x.
www.bookrags.com /Table_of_mathematical_symbols   (3342 words)

  
 The Mathematical Brain: Reviews: The Times Literary Supplement
The mystery of humankind's mathematical ability has become the focus of intense research and speculation in recent years, as few of our abilities seem so extravagantly unnecessary from a Darwinian point of view.
From his own research, and that of a growing group of scientists studying both human and non-human facility with numbers, Butterworth has concluded that "we are born with brain circuits specialized for identifying small numerosities" - that is, the number of things in a group (such as the number of deer at a water hole).
Thus, New Guinea highlanders are no less mathematically able than Westerners, they are just less practised, largely because, Butterworth says, the contingencies of their environment have produced little pressure for the development of this skill.
www.mathematicalbrain.com /revs04.html   (719 words)

  
 Boolean function Summary
A Boolean function is a mathematical function that employs Boolean operations.
In mathematics, a finitary boolean function is a function of the form f : B
More generally, a function of the form f : X → B, where X is an arbitrary set, is a boolean-valued function.
www.bookrags.com /Boolean_function   (652 words)

  
 MATHEMATICA AT OLEMISS PART II OF FIVE   (Site not responding. Last check: )
Part II also covers some elementary mathematical operations such as solving two equations with two unknowns where unknowns are either numeric or they are characters e.g.
There are at least three ways to get to a particular mathematical function or mathematical operation.
By first activating the “Master Index” window and pressing on the first character for the function that the user is looking for under “Built in Function”.
www.mcsr.olemiss.edu /mathematica/mathematica_part2.htm   (507 words)

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