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Topic: Time complexity

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	Computational complexity theory - Wikipedia, the free encyclopedia
		Complexity theory is part of the theory of computation dealing with the resources required during computation to solve a given problem.
		The time complexity of a problem is the number of steps that it takes to solve an instance of the problem as a function of the size of the input (usually measured in bits), using the most efficient algorithm.
		At least for time complexity, and for polynomial-time decision problems, this is determined by the time hierarchy theorem.
	en.wikipedia.org /wiki/Computational_complexity_theory (1134 words)

	Complexity - Wikipedia, the free encyclopedia
		In computational complexity theory, the time complexity of a problem is the number of steps that it takes to solve an instance of the problem as a function of the size of the input (usually measured in bits), using the most efficient algorithm.
		In mathematics, Krohn-Rhodes complexity is an important topic in the study of finite semigroups and automata.
		Irreducible complexity is a term used in arguments against the generally accepted theory of biological evolution, being a concept popularized by the biochemist Michael Behe.
	en.wikipedia.org /wiki/Complexity (865 words)

	PlanetMath: time complexity
		Time complexity refers to a function describing how much time it will take an algorithm to execute, based on the parameters of its input.
		Complexity classes are equivalence classes of time complexities which are ``equal'' in Big-O notation.
		This is version 5 of time complexity, born on 2001-10-18, modified 2005-04-18.
	planetmath.org /encyclopedia/TimeComplexity.html (185 words)

	comp7713 NP-Completeness (Site not responding. Last check: 2007-10-20)
		Time and space complexities are written as functions of the input length (also called the size of input).
		Complexity Class P is the set of all problems that are solvable by polynomial time algorithms.
		Only if the time complexity of the reduction algorithm is polynomial in the length of the instance, the polynomial complexity of the problem is preserved by the reduction.
	www.msci.memphis.edu /~giri/7713/f99/jizhou2.htm (927 words)

	TIME COMPLEXITY (Site not responding. Last check: 2007-10-20)
		The way in which the number of steps required by an algorithm varies with the size of the problem it is solving.
		Time complexity is normally expressed as an order of magnitude, e.g.
		Specialty definitions using "TIME COMPLEXITY": Bellman-Ford algorithm, binary GCD algorithm &diams; Dijkstra's algorithm &diams; Floyd-Warshall algorithm &diams; Johnson's algorithm &diams; Quicksort ♦ space complexity.
	www.websters-online-dictionary.org /ti/time+complexity.html (209 words)

	Complexity and Big-O Notation
		The time required by a method is proportional to the number of "basic operations" that it performs.
		Therefore, in the worst case, the time for addBefore is proportional to the number of items in the sequence, and we say that the worst-case time for addBefore is linear in the number of items in the sequence.
		On the other hand, if occasionally waiting a long time for an answer is merely inconvenient (as opposed to life-threatening), it may be better to use an algorithm with a slow worst-case time and a fast average-case time, rather than one with so-so times in both the average and worst cases.
	www.cs.wisc.edu /~hasti/cs367-common/notes/COMPLEXITY.html (2435 words)

	IBM Systems Journal: Real-time complexity metrics for Smalltalk methods
		Real-time metrics become the complexity equivalent of a smoke alarm--a complexity detection process that is ever vigilant and that warns us at the first sign of excess complexity, rather than one that notifies us after the fact that the software is hopelessly complex.
		Metric feedback is most useful at the time each addition or modification to the system is made because the alternatives and trade-offs involved in the change are fresh in the mind of the developer.
		Complex systems have many different kinds of parts, and the many parts connect to, or interact with, one another in many ways.
	www.findarticles.com /p/articles/mi_m0ISJ/is_n2_v35/ai_18503982 (1478 words)

	Computational Complexity; Problem Hierarchy (Site not responding. Last check: 2007-10-20)
		The running time and the space requirements of a program are defined as a function of the size of the input to the program.
		Problems of exponential complexity are "solved" using approximate methods that are of polynomial complexity.
		The focus of the remainder of this subsection is on time complexity.
	cs.wwc.edu /~aabyan/Theory/complexity.html (1650 words)

	Basic Mathematics
		The time or space used by an implementation of an algorithm can be measured exactly in seconds or in bytes for a particular type of computer but will be different on another computer.
		The accuracy of timing a program or an operation can be improved by timing a number of executions, perhaps in a loop, and dividing the total time taken by that number.
		Therefore any timing done on a shared machine must be based on the central processor time devoted to the particular program under study and not on the elapsed time.
	www.csse.monash.edu.au /~lloyd/tildeAlgDS/Math (2217 words)

	Asymptotic complexity
		In general, the running time depends on the size of the problem and on the respective input.
		The time complexity T(n) is a function of the problem size n.
		The asymptotic complexity is a function f(n) that forms an upper bound for T(n) for large n.
	www.iti.fh-flensburg.de /lang/algorithmen/asympen.htm (824 words)

	Running Time (Time complexity) Definitions, Notations, examples (Site not responding. Last check: 2007-10-20)
		Running time that we consider in this class is based on RAM model that assumes that each elementary operation(arithmetical, comparisions, memory access, assignments) take one unit of time.
		Analyzing time complexity we count the number of dominating(characteristic) operations.
		Big O notation provides a good characterization of running time complexity and serves well to compare the quality of algorithms.
	www.cs.engr.uky.edu /~jurek/cs315/notes2001/files/notes05102001.html (499 words)

	Instant Complexity
		Analyzing the run-time complexity of algorithms is an important tool for designing efficient programs that solve a problem.
		An algorithm that runs in linear time is usually much faster than an algorithm that takes quadratic time for the same task, and thus should be preferred.
		Generally, one determines the run-time of an algorithm in relation to the `size' n of the input, which could be the number of objects to be sorted, the number of points in a given polygon, and so on.
	acm.uva.es /p/v5/586.html (436 words)

	[No title]
		The time that a computation takes is assumed to be equal to the number of moves made during the computation.
		A probabilistic Turing transducer M is said to be T(n) time-bounded, or of time complexity T(n), if M halts within T(n) time in each computation on each input of length n.
		The tractability of problems with respect to probabilistic time is determined by the existence of bounded-error probabilistic Turing transducers of polynomial time complexity for solving the problems.
	www.cse.ohio-state.edu /~gurari/theory-bk/theory-bk-sixse4.html (891 words)

	Fast Implementation Time Complexity Evaluation (Site not responding. Last check: 2007-10-20)
		Section 3.1.1 depends on the time complexity of the priority queue operations.
		PQInsert(n) is the function describing the asymptotic time complexity of the insert an element operation of the priority queue.
		PQDelete(n) is the function describing the asymptotic time complexity of the delete an arbitrary element operation of a priority queue.
	www.cs.rit.edu /~std3246/thesis/node20.html (187 words)

	Time complexity of base64 encoding?
		A 64 bit chip will handle the data four times as fast; twice between the entire data fits, and twice because of the efficiency of not having to split the data.
		The execution time may be sped up with a different processor, but the asymptotic time complexity does not change.
		Time complexity does not measure absolute execution time, but the relationship of execution time to input size.
	www.webservertalk.com /message49080.html (958 words)

	Time complexity: Raster to Vector conversion in a Local, Exact and Near optimal manner (Site not responding. Last check: 2007-10-20)
		Time complexity: Raster to Vector conversion in a Local, Exact and Near optimal manner
		The time complexity of this operation depends entirely on the implementation of the string object.
		Smoothing complex strings, (nne, ene, ese, sse, etc), requires one operation per vertex but each operation requires one operation per point in the line space simplex.
	www.dwaf.gov.za /IWQS/r2v/time.shtml (516 words)

	On the Time-Complexity of Broadcast in Radio Networks
		We present a randomized protocol that achieves broadcast in time which is optimal up to a logarithmic factor.
		Namely, with probability 1-epsilon, the protocol achieves broadcast in time O((D + log (n/epsilon)) cdot log n), where n is the number of processors in the network and D is the network's diameter.
		This error is due to a gap between two reasonable models; we have initially considered one model but then stated our results for a stronger model (in which it fails).
	www.wisdom.weizmann.ac.il /~/oded/p_bgi.html (790 words)

	Computational Complexity (Site not responding. Last check: 2007-10-20)
		A useful measure of performance would be "the rate of growth of the time or space required to solve larger and larger instances of a problem".
		The time complexity, or the running time of the algorithm, is the "time" needed by the algorithm (e.g., number of elementary operations such as additions and comparisons) expressed as a function of the problem size.
		Therefore, for the purposes of computational complexity, it is sufficient to be concerned with the recognition problems.
	benli.bcc.bilkent.edu.tr /~omer/research/complexity.html (1766 words)

	Time complexity of CENTRIFUSER
		Thus, the time efficiency of the system is dependent only on the two online processing modules as shown earlier in Figure 5.1: in the similarity and difference computation of
		Taking the relevant topics and assembling a truncated list of topics for the construction of the navigation bar and extract is also linear in time complexity.
		For generating the indicative differences, identification of salient metadata and topics (to be discussed in Chapter 6) requires linear time, as their average statistics are stored in the composite topic tree.
	www.cs.columbia.edu /~min/papers/thesis/node77.html (458 words)

	[No title] (Site not responding. Last check: 2007-10-20)
		Be creative: google up "cell phone" combined with keywords such as "complexity" to come up with new ideas and to be exposed to some of the cutting-edge technologies that researchers use to enhance cell phones.
		We showed that the worst-case time complexity of the binary search is O(log n).
		Prove that the worst-case time complexity is still O(log n).
	mountains.ece.umn.edu /~kia/Courses/EE5301/F03Archive/HW/hw1_introTimeCplx.html (205 words)

	[No title]
		The time complexity of an algorithm is one of the most common determinants of the success of a computational strategy, although occasionally one finds that exorbitant amounts of energy or incredible numbers of particles can be substituted for a long amount of time.
		Analogously, the depth of a circuit is the length of the longest path from an input to an output, with depth minimality/complexity defined analogously.
		Finally, circuit size/depth complexity can be defined for a language as the size/depth complexity of a minimal circuit family for that language.
	www.media.mit.edu /physics/pedagogy/babbage/texts/ct.doc (1567 words)

	Time complexity (Site not responding. Last check: 2007-10-20)
		Let us suppose that the time complexity of an operation on matrices is
		If we consider that computation takes place sequentially (and not concurrently as it is effectively the case), the overall execution time is constituted by the communication time and the computation time.
		The time complexity of the computation of a row (line 4 to 9 of algorithm 4 is naturally
	www.dcc.ufmg.br /~ghuiban/paa/tp4/node30.html (126 words)

	4.1 Time complexity and scalability analysis (Site not responding. Last check: 2007-10-20)
		time to transform between Euclidean and Fourier space.
		To perform the smoothing requires a constant amount of time (e.g.
		This is similar to the weighting step, which considers 8 neighbours, thus also having time complexity
	www.kev.pulo.com.au /sc3/fastblur_report/node16.html (106 words)

	[Insight-users] Big-O time complexity of level set segmentation?
		Hi, You should see little difference in total time seeding regions one-at-a-time or all together.
		Computation is order N, where N is number of points on the level-set surface.
		If the complexity is O(n) then it doesn't matter whether > you do each cell individually, or all in parallel.
	public.kitware.com /pipermail/insight-users/2004-March/007376.html (327 words)

	running time complexity
		The running time complexity of an algorithm (say Algo_A) is given by
		The running time complexity for another Algorithm (say Algo_B) is given by the
		Explain which one between these Algo_A and Algo_B is more efficient with respect to running time complexity.
	forums.devshed.com /t197733/s.html (102 words)

	Time-complexity of algorithms (Site not responding. Last check: 2007-10-20)
		worst-case time complexity of this algorithm is O(f(n)) if
		complexity of this algorithm is O(f(n)) if there is a constant
		M such that the expected number of steps on inputs of size
	bing.math.ohiou.edu /~just/TALKS/Complexitytalk/sld011.htm (64 words)

	CBofN - Glossary - T
		Time Complexity A function that describes the amount of time required for a program to run on a computer to perform a particular task.
		Time Series A sequence of values generated from a dynamical system over time.
		Chaotic systems can be analyzed by examining the time series generated by a single portion of the system.
	mitpress.mit.edu /books/FLAOH/cbnhtml/glossary-T.html (384 words)

	C Programming: Big-o notation/time complexity/datat structur
		Big-o notation is not use to measure execution time in absolute unit.
		It is used to measure the execution time cooresponding to the total number of item to process.
		If the execution time is linear to the number of input item, that is O(n), n stand for total number of item.
	www.experts-exchange.com /Programming/Programming_Languages/C/Q_10292164.html (285 words)

	Fine Separation Of Average-Time Complexity Classes - Cai, Selman (ResearchIndex)
		We extend Levin's definition of average polynomial time to arbitrary time-bounds in accordance with the following general principles: (1) It essentially agrees with Levin's notion when applied to polynomial time-bounds.
		defined a modification of Levin s notion of average polynomial time and proved, for every P bi immune language L and every polynomial time computable distribution with infinite support, that L is not recognizable in polynomial time on...
		The e ect of the modi cation is to control the rate of...
	citeseer.ist.psu.edu /cai99fine.html (602 words)

	Parallel complexity theory - NC algorithms
		Hence, a problem is feasible, or tractable, if it is solvable in polynomial time and intractable if the best known algorithm has higher than polynomial time complexity and all other intractable problems are known to be reducible to this problem.
		Most of the machinery of the parallel complexity theory is derived from the sequential one, which uses specific formal framework to make its results and conclusions independent on particular implementation details of algorithms and robust with respect to various models and architectures of computing devices.
		Complexity class NP: the class of all languages that can be verified by polynomial-time verification algorithms.
	www.cs.wisc.edu /~tvrdik/3/html/Section3.html (1841 words)

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