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Topic: List of complexity classes

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	List of complexity classes - Wikipedia, the free encyclopedia
		This is a list of complexity classes in computational complexity theory.
		The union of the classes in the exponential hierarchy
		The union of the classes in the polynomial hierarchy
	en.wikipedia.org /wiki/List_of_complexity_classes (587 words)

	[No title]
		Complexity can then be characterized by lack of symmetry or "symmetry breaking", by the fact that no part or aspect of a complex entitity can provide sufficient information to actually or statistically predict the properties of the others parts.
		The complexity produced by differentiation and integration in the spatial dimension may be called "structural", in the temporal dimension "functional", in the spatial scale dimension "structural hierarchical", and in the temporal scale dimension "functional hierarchical".
		By defining complexity as the combination of distinction (variety) and connection (dependency) in at least the spatial, temporal and scale dimensions, we were able to redefine complexification as the combination of differentiation and integration in these dimensions.
	pespmc1.vub.ac.be /Papers/ComplexityGrowth.html (10834 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)

	Computational Complexity: The Graduate Complexity Course
		In the spring of 1985 I took a graduate complexity course with Juris Hartmanis at Cornell and in the spring of 1986 took a graduate complexity course with Michael Sipser at Berkeley with only the polynomial-time hierarchy in the intersection of the two courses.
		I think that any such complexity course should at least expose students to the circuit complexity approach especially since it is the main way to understand low level complexity classes.
		Complexity theorists need to learn how to use it; other students need some explanation why this course doesn't answer most of the questions it raises.
	weblog.fortnow.com /2005/11/graduate-complexity-course.html (749 words)

	Dieter van Melkebeek - Research on Computational Complexity Theory (Site not responding. Last check: 2007-10-13)
		Trying to separate complexity classes by isolating a structural difference between their complete problems, forms a unifying theme in my thesis research.
		Torenvliet established that large complexity classes like doubly exponential space have complete languages that are not autoreducible, whereas the complete languages of smaller classes like exponential time all share the property of autoreducibility.
		The Kolmogorov complexity of a string is the length of its shortest description; various complexity restrictions on the descriptions lead to various notions of Kolmogorov complexity.
	www.cs.wisc.edu /~dieter/Research/complexity.html (2966 words)

	PlanetMath: complexity class
		The most common classes are all restricted to one read-only input tape and one output/work tape (and in some cases a one-way, read-only guess tape) and are defined as follows:
		Cross-references: complexity classes, cells, polynomial time, polynomial, union, time complexity, minimal error, two-sided error, negative, one-sided error, positive, non-deterministic Turing machines, deterministic Turing machines, one-way, restricted, search problem, decides, class, decision problem, length, bounded, Turing machine, function
		This is version 1 of complexity class, born on 2002-09-06.
	planetmath.org /encyclopedia/ComplexityClass.html (210 words)

	Complexity Zoology Introduction (Site not responding. Last check: 2007-10-13)
		Complexity Zoo, the living survey of complexity classes created by Scott Aaronson.
		Some of the classes in the Zoo are not suitable for this Zoology project because they are not decision classes (e.g., #P) or the class is parameterized (e.g., ZPTIME(f(n))), or for other reasons.
		Unlike in the Zoo, circuit classes are taken as uniform with respect to spot DLOGTIME verification.
	www.math.ucdavis.edu /~greg/zoology (245 words)

	Hierarchical Lists
		Where the lists of a previous chapter were flat or one-level.
		There are two classes of node or cell in these lists; the tag `t' indicates the class of a cell.
		They share this ability with hierarchical lists and the connection is much stronger; there is a way of representing such a tree by a list.
	www.csse.monash.edu.au /~lloyd/tildeAlgDS/List/Lisp (1166 words)

	Cyclomatic Complexity
		Cyclomatic complexity is the most widely used member of a class of static software metrics.
		The complexity number is generally considered to provide a stronger measure of a program's structural complexity than is provided by counting lines of code.
		The metrics listed in Alternatives are also complementary; each metric highlights a different facet of the source code.
	www.sei.cmu.edu /str/descriptions/cyclomatic_body.html (1196 words)

	[No title]
		Depending on how important these operations are, it may be useful for the list class to hold a pointer to the last element of the list.
		Another problem with singly linked lists is that given a node in the list, we can not erase that node in constant time, and we can't insert a node before it in constant time.
		This is important, because of the class invariant that the element one past the end of the list (or, in the case of an empty list, the pointer to the "first Node") is signified by a
	www.pegasus.rutgers.edu /~elflord/cpp/list_howto (7013 words)

	Complexity class - Wikipedia, the free encyclopedia
		In computational complexity theory, a complexity class is a set of problems of related complexity.
		For example, the class NP is the set of decision problems that can be solved by a non-deterministic Turing machine in polynomial time, while the class PSPACE is the set of decision problems that can be solved by a deterministic Turing machine in polynomial space.
		Many complexity classes can be characterized in terms of the mathematical logic needed to express them; see descriptive complexity.
	en.wikipedia.org /wiki/Complexity_class (270 words)

	In pursuit of code quality: Monitoring cyclomatic complexity (Site not responding. Last check: 2007-10-13)
		When faced with a report indicating high cyclomatic complexity values, the first course of action is to verify the existence of any corresponding tests.
		Because cyclomatic complexity is such a good indicator of code complexity, there is a strong relationship between test-driven development and low CC values.
		Measuring cyclomatic complexity is, therefore, particularly valuable in situations where you're working with a legacy code base.
	www-128.ibm.com /developerworks/java/library/j-cq03316 (2110 words)

	Intractability
		The complexity class P is the set of all search problems solvable in poly-time (on a deterministic Turing machine).
		If we are trying to solve a special class of TSP problems, e.g., where the points lie on the boundary of a circle or the vertices of an M-by-N lattice, then we can design efficient (and trivial) algorithms to solve the problem.
		Scott Aaronson's website The Complexity Zoo contains a comprehensive list of other complexity classes that are useful in classifying problems according to their computational resources (time, space, parallelizability, use of randomness, quantum computing).
	www.cs.princeton.edu /introcs/78intractability (8070 words)

	Classes
		Classes are run every month, and more will be added as demand presents itself.
		These classes are 1.5-2.5 hours in length, depending upon your speed, and the number of students in the class.
		In most classes, the cost of materials is extra, and materials may be bought from us or elsewhere, as you see fit.
	www.bearsquiltshop.com /pages/bearsQuilts.aspx?pageID=classes (564 words)

	Computer Class in Houston
		List of complexity classes - This is a list of complexity classes in computational complexity theory.
		Intended for students preparing for careers in computer science computer class in houston and students in other fields interested in issues that arise from computer technology, this book can be used in both introductory computer class in houston and advanced classes about computing or technology.
		Adaptable to a ten-week class or a full-year course, it provides C computer class in houston and Fortran programs that can be modified computer class in houston and rewritten as needed to implement a wide range of computational projects.
	www.wtlcomputers.com /computerclassinhouston.html (965 words)

	Complexity Theory: A Modern Approach / Sanjeev Arora and Boaz Barak
		This is a draft of a textbook on computational complexity theory that we expect to publish in Aug 2007 (hence, submit to the publisher by
		It is intended as a text for an advanced undergraduate course or introductory graduate course, or as a reference for researchers and students in computer science and allied fields such as mathematics and physics.
		List decoding and its use for hardness amplification.
	www.cs.princeton.edu /theory/complexity (481 words)

	Classes in Visual FoxPro (Site not responding. Last check: 2007-10-13)
		Classes define properties, methods, and events, which are characteristics and functionality that objects possess and that you can use to manipulate objects.
		The properties that a class defines specify characteristics for an object of that class.
		The events of a class define code that executes when the system or user performs actions that trigger the events for an object of that class.
	msdn.microsoft.com /library/en-us/dv_foxhelp9/html/5d464956-a8de-419c-b09d-1b4dc2efefe6.asp?frame=true (706 words)

	Some common complexity classes
		Very often we are not interested in the actual function that describes the (time) complexity of an algorithm, but just in its complexity class.
		Before we define complexity classes in a more formal manner, let us first gain some intuition for what they actually mean.
		This is why complexity classes are so important--they tell us how feasible it is to run a program with a big number of data items.
	www.cs.bham.ac.uk /~mhe/foundations2/node119.html (534 words)

	EJB best practices: Validation helper classes (Site not responding. Last check: 2007-10-13)
		Listing 1 shows the shell for such a class.
		Note that the simple methods in Listing 1 can be called from other classes, such as our business delegates, to perform validation logic as needed.
		Listing 2 shows the kind of cluttered code that would result from using boolean return values.
	www-106.ibm.com /developerworks/library/j-ejb01213.html (1051 words)

	Complexity Theory: Actions for a Better World
		This action section of our website will list practical suggestions for using the ideas of complexity science and related areas to counter the ignorance, hate and violence that are so destroying our heritage, our societies and our planet.
		All complex systems have multiple dimensions or attributes which interrelate and cannot be treated in isolation.
		The nonlinear nature of complex interactions under feedback loops means that we cannot linearly add effects.
	www.calresco.org /action.htm (17740 words)

	Computational Complexity
		George Henry is among the top fifty computational complexity theorists on the market this year and you should consider him for any faculty, postdoc or janitorial position in your department.
		There are hundreds of complexity classes and thousands of variations on those classes.
		Henry's best result shows that for two of these classes, one of them is not contained in the other assuming that some third class is not contained in some fourth class.
	weblog.fortnow.com (1585 words)

	LINGUIST List 5.761: Pinker's book, Chaology & complexity
		By comparison, most of the class struggled through Halliday and Hasan, who much more than Pinker attempt to relate their theory to teaching.
		The book is now on my required list for my Applied Linguistics course in the fall, and will be in any other course of that nature that I teach.
		I've worked on chaotic linguistics and complexity over the past few years and was interested to see your e-Mail message.
	linguistlist.org /issues/5/5-761.html (703 words)

	'Complexity in Biology' Club at Caltech
		We are an informal interdisciplinary discussion group interested in complex systems in biology and in measures of complexity.
		J.M. Carlson and J. Doyle, Complexity and Robustness, PNAS 99 Suppl.
		Environmental Complexity and the Evolution of Cognition (Neda Afsarmanesh)
	www.klab.caltech.edu /~ma/cclub (822 words)

	Introduction to the Collections Framework
		The historical collection classes are called such because they have been around since the 1.0 release of the Java class libraries.
		If you are moving from the historical collection classes to the new framework classes, one of the primary differences is that all operations are unsynchronized with the new classes.
		In addition to supporting the use of the old collection classes within the new collection framework, there is also support for using the new framework and still using libraries that only support the original collections.
	java.sun.com /developer/onlineTraining/collections/Collection.html (6755 words)

	slist<T, Alloc> (Site not responding. Last check: 2007-10-13)
		is a singly linked list: a list where each element is linked to the next element, but not to the previous element.
		might have a different predecessor or successor after a list operation than it did before), but the iterators themselves will not be invalidated or made to point to different elements unless that invalidation or mutation is explicit.
		class, and the slist header, are an SGI extension; they are not part of the C++ standard.
	www.sgi.com /tech/stl/Slist.html (1277 words)

	C294 Coding Theory and Complexity Theory
		In most cases, such as in the Goldreich-Levin hard-core predicate construction, the coding theory interpretation became clear only in retrospect, but then it was essential for further improvements.
		This course will be about the theory, constructions, and algorithms for error correcting codes, about applications in complexity theory and in cryptography, and about relations to other combinatorial constructions.
		In the third part of the course we will explore connections between error-correcting codes and the other three combinatorial objects that are ubiquitous in complexity theory: hash functions, randomness extractors and expander graphs.
	www.cs.berkeley.edu /~luca/cs294 (567 words)

	Complexity And Other Software Metrics
		Computer science has developed a taxonomy of complexity (computational difficulty) of problems and power of problem solving systems.
		In different ranges of complexity are the main working ground of some fields of computer science (of course, a field is not strictly limited to a fixed range).
		For some of the (shown and further) complexity classes it has not yet been proven whether they are in fact separate or only appear so.
	web.cs.mun.ca /~ulf/gloss/complex.html (1957 words)

	A List Apart: Articles: Complex Dynamic Lists: Your Order Please
		Unless we generate the second list via the DOM, or after the page was submitted for the first time, visitors without JavaScript will get an interactive page element that doesn’t work: an empty select box.
		The more levels we need, the more complex our JavaScript will get (nested or complex arrays might not be easy to maintain for other developers who will inherit the code after us).
		With an unordered list, we can easily display a hierarchical structure of a complexity that would be very hard to achieve with dynamic select boxes.
	alistapart.com /articles/complexdynamiclists (1075 words)

	GlassLink - List of Services - Beads, classes, fusing, mosaics, and STAINED GLASS (Site not responding. Last check: 2007-10-13)
		The people who work in the store also love working on their own art glass projects, which means that you get an expert opinion every time you ask a question.
		The complexity of these classes range from beginner to expert.
		Several of our classes are even suitable for children.
	www.glasslink.org /listofservices.html (327 words)

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