A simple method for delineating well defined and variable regions in protein structures determined from interproton distance data michael nilges, g. Well function article about well function by the free. If we have a set and an object, it is possible that we do not know whether this object belongs to the set or not, because of our lack of information or knowledge. For continuous random variables, the cdf is welldefined so we can provide the cdf. Synonyms for function well include work well, operate well, perform well, work correctly, work properly and work splendidly. In ordinary terms, to say that an ordered pair is in f means that x is the input to f and y is the corresponding output the requirement that implies means that there is a unique output for each input. The sets a and b are called the domain and codomain of f x. Welldefined definition is having clearly distinguishable limits, boundaries, or features. It is rather easy to measure the length and diameter of a pipe and compute its.
You can construct similar functions for all other open problems in mathematics. Is it because of the m2 that makes the arguement invalid. Synonyms, crossword answers and other related words for well defined. How well defined the project needs to be is well enough to get you started and know where youre going to be heading for the next two weeks. In mathematics, a set is a welldefined collection of distinct objects, considered as an object in its own right. Not well defined using modular arithmetic, consider division.
If x 0, then the integral is understood in the sense of its principal value. Xo y is onto y x, fx y onto functions onto all elements in y have a. How to prove that a function is welldefined physics forums. This integral cannot be expressed in closed form through elementary functions. We say the function or, more precisely, the specification of the function is welldefined if it does. A set is welldefined if there is no ambiguity as to whether or not an object belongs to it, i. Ling 310, adapted from umass ling 409, partee lecture notes march 1, 2006 p. As a scrum master, i would simply say that you need to define gross features of your product in an excel. Gaussian probability density function any nonnegative function which integrates to 1 unit total area is suitable for use as a probability density function pdf c. Ab to be a good one, it must pick out, for each element of a, exactly one element of b. What does it mean for a function to be welldefined. If there would be a general algorithm to determine if this function is welldefined, you could prove the twin prime hypothesis or disprove it. A deep hole or shaft sunk into the earth to obtain water, oil, gas, or brine. What does it mean for a concept to be well defined.
A is an accumulation point of a, then continuity of f at c is equivalent to the condition that lim x. Oct 11, 2014 the phrasing tells you what you are supposed to be looking for you are not asked if the function is differentiable everywhere, only if it has a well defined derivative everywhere then the statement tells you what it means by well defined derivative. Isomorphisms and wellde nedness stanford university. Approximate expressions have recently been proposed to compute the well function. A function is injective onetoone iff it has a left inverse proof. Welldefined crossword answers, clues, definition, synonyms.
For many beginning students of mathematics and technical fields, the reason why we sometimes have to check well definedness while in other cases we dont remains elusive. It contrasts well defined function with welldefined function. Synonyms, crossword answers and other related words for welldefined. A simple method for delineating welldefined and variable. Mathematicians would say that the \function fis not wellde ned, which really just means that fis not a function. Synonyms for welldefined include apparent, audible, clear, clearcut, comprehensible, definite, distinct, exact, explicit and graspable.
A simple method for delineating welldefined and variable regions in protein structures determined from interproton distance data michael nilges, g. Gronenborn maxplancklnstitut fiir biochemie, d8033 martinsried bei miinchen, frg received 25. In ordinary terms, to say that an ordered pair is in f means that x is the input to f and y is the corresponding output. C red, blue, yellow, green, purple is well defined since it is clear what is in the set. Welldefined definition of welldefined by the free dictionary. A well defined or well defined set means it is a set with a precise and exact object or element. Enter your email address below to download this free pdf. This function is welldefined if there is a largest twin prime, it is not welldefined otherwise. The most general gaussian pdf is given by shifts of the normalized gaussian. How does one check if this function is welldefined or not. Initial stateas name suggest, the initial state agent starts in.
S \to smath is well defined if for every element mathx \in smath there is a single element mathy \in smath satisfying fxy. Structural induction assume we have recursive definition for the set s. Chapter 10 functions nanyang technological university. Synthesis of welldefined functional crystals by high temperature gasphase reactions article pdf available in chinese science bulletin 5918. Accurately and precisely described or specified mathematics defined in an unambiguous and consistent way. In the opening problem on the previous page of this session, the solution set to the question. We hope that the following list of synonyms for the word welldefined will help you to finish your crossword today. To better understand this idea, lets look at an example where a definition turns out not to be well defined. Top synonyms for well defined other words for well defined on this page are decided, clear definition and clearly articulated.
The computation of the well function is required in the analysis of pump test data for leaky or confined aquifers. Let x be a new element constructed in the recursive step of the definition. Q q by rule hmn m2n, for all integers m and n with n. You should always do tests like this, and get a sense for when things will exist and be wellde. C red, blue, yellow, green, purple is welldefined since it is clear what is in the set. For many beginning students of mathematics and technical fields, the reason why we sometimes have to check welldefinedness while in other cases we dont remains elusive. Well defined definition in the cambridge english dictionary. Functions a function f from x to y is onto or surjective, if and only if for every element y. Something that is well defined is clear and precise and therefore easy to recognize or. Returning to the gamma function, lets make sure its wellde. Again, just to be clear, a set in mathematics should be a well defined collection of distinct objects. We hope that the following list of synonyms for the word well defined will help you to finish your crossword today. A function that is not welldefined is not the same as a function that is undefined.
A b is injective pick any a 0 in a, and define g as a if fa b a 0 otherwise this is a well defined function. So well defined means that the definition being made has no internal inconsistencies and is free of contradictions. What makes a function well defined student c tries to define a function h. For example, if f x 1 x, then the fact that f 0 is undefined does not mean that the f is not welldefined but that 0 is simply not in the domain of f. We say the function or, more precisely, the specification of the function is well defined if it does. Because it is precisely clear whether a subject is taught in grade 8. When you define a function on a set of conjugate classes then, the main thing you need. Well defined definition is having clearly distinguishable limits, boundaries, or features. In probability theory, a probability density function pdf, or density of a continuous random variable, is a function whose value at any given sample or point in the sample space the set of possible values taken by the random variable can be interpreted as providing a relative likelihood that the value of the random variable would equal that sample. Similarly, a wavefunction that looks like a sinusoidal function of x has a fourier transform that is well localized around a given wavevector, and that wavevector is the frequency of oscillation as a function of x. Welldefined definition and meaning collins english dictionary.
Apr 03, 2010 what makes a function well defined student c tries to define a function h. Pdf synthesis of welldefined functional crystals by high. A function f from a set x to a set y is a subset f of the product such that if, then instead of writing, you usually write. Gronenborn maxplancklnstitut fiir biochemie, d8033 martinsried bei miinchen, frg received 25 march 1987. A set is well defined if there is no ambiguity as to whether or not an object belongs to it, i. For example, the numbers 2, 4, and 6 are distinct objects when considered separately, but when they are considered collectively they form a single set of size three, written 2, 4, 6. Welldefined definition and meaning collins english. Assume j is an element specified in the basis step of the definition. Dec 03, 2016 here are my four essential requirements for any concept to be well defined. Something that is welldefined is clear and precise and therefore easy to recognize or. Gaussian function properties spectral audio signal processing. Weve arranged the synonyms in length order so that they are easier to find. Here are my four essential requirements for any concept to be well defined. Similarly, a wavefunction that looks like a sinusoidal function of x has a fourier transform that is welllocalized around a given wavevector, and that wavevector is the frequency of oscillation as a function of x.
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