Encyclopedia - Bound: Encyclopedia - Bound
A bound can be: A lower or upper bound — mathematics Bound (film) Bound state — physics Bound (band) Other related archivesBound (...   » Read the article

Encyclopedia - Bound Morpheme: Encyclopedia - Bound Morpheme
Bound morphemes are morphemes that can only occur when attached to root morphemes. Affixes are bound morphemes. Common English bound morp...   » Read the article

Encyclopedia - Upper Bound: Encyclopedia - Upper Bound
In mathematics, especially in order theory, an upper bound of a subset S of some partially ordered set is an element which is greater tha...   » Read the article

Encyclopedia - Bound Film: Encyclopedia - Bound Film
Bound (1996) is an American movie in the crime thriller genre, directed by the Wachowski brothers (of The Matrix fame). It stars Gina Ger...   » Read the article

Encyclopedia - Bekenstein Bound: Encyclopedia - Bekenstein Bound
The Bekenstein Bound, derived by Jacob Bekenstein, imposes a limit on the entropy, and hence information, that can be contained within a ...   » Read the article

Encyclopedia - Bounded Complete Poset: Encyclopedia - Bounded Complete Poset
In the mathematical field of order theory, a partially ordered set is bounded complete if all of its subsets which have some upper bound ...   » Read the article

Encyclopedia - Bounded Function: Encyclopedia - Bounded Function
In mathematics, a function f defined on some set X with real or complex values is called bounded, if the set of its values is bounded. In...   » Read the article

Article - Hindu Quotes: Like Good Bound Books
Hindu Quotes: Like Good Bound Books   The bonds that good men share, like good bound books,  Reveal new enjoyments at each...   » Read the article

Article - Peace On Earth: Bound By A Common And Rich Heritage
Kabir, the inspired poet weaver of northern India, declared that there was neither Hindu nor Muslim, but only man as the embodiment of...   » Read the article

Encyclopedia - Bound By Honor: Encyclopedia - Bound By Honor
190 min. (director's cut)" 190 min. (director's cut) Bound by Honor (a/k/a Blood in, Blood out) is a 1993 film directed by Taylor Hackfor...   » Read the article

Encyclopedia - Bound State: Encyclopedia - Bound State
In physics, a bound state is a composite of two or more building blocks (particles or bodies) that behaves as a single object. In quantum...   » Read the article

Encyclopedia - Bounded Rationality: Encyclopedia - Bounded Rationality
Many models of human behavior in the social sciences assume that humans can be reasonably approximated or described as "rational" entitie...   » Read the article

Encyclopedia - Cesena: Encyclopedia - Cesena
Cesena (ancient Caesena) is a city in the Emilia-Romagna region of northern Italy, south of Ravenna and west of Rimini, on the Savio Rive...   » Read the article

Encyclopedia - Whaling In Japan: Encyclopedia - Whaling In Japan
Japan catches hundreds of whales every year, mainly from the South Pacific population of Minke Whales. The purpose of this killing is hot...   » Read the article

Encyclopedia - Bounding Volume: Encyclopedia Ii - Bounding Volume - Uses Of Bounding Volumes
Bounding volumes are most often used to accelerate certain kinds of tests. In ray tracing, bounding volumes are used in ray-intersection ...   » Read the article

Encyclopedia - Bounded Set: Encyclopedia Ii - Bounded Set - Definition
A set S of real numbers is called bounded above if there is a real number k such that k ≥ s for all s in S. The number k is called an u...   » Read the article

Encyclopedia - Bounding Volume: Encyclopedia Ii - Bounding Volume - Common Types Of Bounding Volume
A bounding sphere is a sphere containing the object. Spheres are very quick to test for collision with each other: two spheres are separa...   » Read the article

Encyclopedia - Tsirelson's Bound: Encyclopedia Ii - Tsirelson's Bound - Tsirelson's Bound As Bound For Objective Local Theories
Given measured correlation values described above as obtained in four (not necessarily disjoint) sets of trials J, K, L, and M, then, fol...   » Read the article

Encyclopedia - Bounding Volume: Encyclopedia Ii - Bounding Volume - Basic Intersection Checks
For some types of bounding volume (OBB and Convex Polyhedra), an effective check is that of the "Separating Axis Test". The idea here is ...   » Read the article

Encyclopedia - Bounded Operator: Encyclopedia Ii - Bounded Operator - Linearity And Boundedness
Not every linear operator between normed spaces is bounded. Let X be the space of all trigonometric polynomials defined on [−π, π], w...   » Read the article

Encyclopedia - Totally Bounded Space: Encyclopedia Ii - Totally Bounded Space - Definitions
The general logical form of the definition is: A subset S of a space X is a totally bounded set if and only if, given any size E, there e...   » Read the article

Encyclopedia - Tsirelson's Bound: Encyclopedia Ii - Tsirelson's Bound - Application To Epr Experiments
The experiments whose results are under certain conditions summarized by the Tsirelson bound or by the CHSH inequality concern measuremen...   » Read the article

Encyclopedia - Totally Bounded Space: Encyclopedia Ii - Totally Bounded Space - Relationships With Compactness And Completeness
There is a nice relationship between total boundedness and compactness: A space is compact if and only if it is both totally bounded and ...   » Read the article

Encyclopedia - Bound Brook New Jersey: Encyclopedia Ii - Bound Brook New Jersey - Government
Bound Brook New Jersey - Local government. The Mayor of Bound Brook is Frank J. Ryan. Members of the Borough Council are Council Presid...   » Read the article

Encyclopedia - Bound Brook New Jersey: Encyclopedia Ii - Bound Brook New Jersey - History
The town was first settled in 1681. A wooden bridge over the Raritan River was erected as early as 1761 and named Queen's Bridge in 1767....   » Read the article

Encyclopedia - Bound Brook New Jersey: Encyclopedia Ii - Bound Brook New Jersey - Geography
Bound Brook is located at 40°33'55" North, 74°32'22" West (40.565203, -74.539513)GR1. According to the United States Census Bureau, the...   » Read the article

Encyclopedia - Tsirelson's Bound: Encyclopedia Ii - Tsirelson's Bound - Derivation Following Tsirelson's Elementary Proof
Given four operators (F, G, U, and V) together with a product operation (∙) defined for any pair of these four operators, and given tha...   » Read the article

Encyclopedia - Free Variables And Bound Variables: Encyclopedia Ii - Free Variables And Bound Variables - Examples
Before stating a precise definition of free variable and bound variable (or dummy variable), we present some examples that perhaps make t...   » Read the article

Encyclopedia - Bound Brook New Jersey: Encyclopedia Ii - Bound Brook New Jersey - Demographics
As of the censusGR2 of 2000, there are 10,155 people, 3,615 households, and 2,461 families residing in the borough. The population densit...   » Read the article

Encyclopedia - Free Variables And Bound Variables: Encyclopedia Ii - Free Variables And Bound Variables - Formal Explanation
Variable-binding mechanisms occur in different contexts in mathematics, logic and computer science but in all cases they are purely synta...   » Read the article

Encyclopedia - Improper Integral: Encyclopedia Ii - Improper Integral - Infinite Bounds Of Integration
The most basic of improper integrals are integrals such as: As stated above, this need not be defined as an improper integral, since i...   » Read the article

Encyclopedia - Time-bound Programmes For The Eradication Of The Worst Forms Of Child Labour: Encyclopedia Ii - Time-bound Programmes For The Eradication Of The Worst Forms Of Child Labour - Time-bound Programmes
The Time-Bound Programme (TBP) approach constitutes one of the means put in place by the International Programme on the Elimination of Ch...   » Read the article

Encyclopedia - Ribosome: Encyclopedia Ii - Ribosome - Membrane Bound Ribosomes
When certain proteins are synthesized by a ribosome, it can become "membrane-bound", associated with the membrane of the nucleus and the ...   » Read the article

Encyclopedia - Supremum: Encyclopedia Ii - Supremum - Least-upper-bound Property
The least-upper-bound property is an example of the aforementioned completeness properties which is typical for the set of real numbers. ...   » Read the article

Encyclopedia - Improper Integral: Encyclopedia Ii - Improper Integral - Vertical Asymptotes At Bounds Of Integration
Consider This integral involves a function with a vertical asymptote at x = 0. One can evaluate this integral by evaluating from b to ...   » Read the article

Encyclopedia - Heap: Encyclopedia Ii - Heap - Comparison Of Theoretic Bounds For Variants
Function names assume a min-heap: For pairing heaps the insert, decreaseKey and merge operations are conjectured to be O(1) amortized com...   » Read the article

Encyclopedia - Empty Set: Encyclopedia Ii - Empty Set - Bounds
Since the empty set has no members, when it is considered as a subset of any ordered set, then any member of that set will be an upper bo...   » Read the article

Encyclopedia - Hermitian Adjoint: Encyclopedia Ii - Hermitian Adjoint - Definition For Bounded Operators
Suppose H is a Hilbert space, with inner product <.,.>. Consider a continuous linear operator A : H → H (this is the same as...   » Read the article

Encyclopedia - Hilbert Space: Encyclopedia Ii - Hilbert Space - Bounded Operators
For a Hilbert space H, the continuous linear operators A : H → H are of particular interest. Such a continuous operator is bounded...   » Read the article

Encyclopedia - Selection Algorithm: Encyclopedia Ii - Selection Algorithm - Lower Bounds
In his seminal The Art of Computer Programming, Don Knuth discussed a number of lower bounds for the number of comparisons required to lo...   » Read the article

Encyclopedia - Tsirelson's Bound: Encyclopedia Ii - Tsirelson's Bound - The Role Of Landau's Identity In Deriving Tsirelson's Inequality
An identity involving four operators (F, G, U, and V) and a product operation (·) has been pointed out by L. J. Landau [2]: Given that t...   » Read the article

Encyclopedia - Scene Graph: Encyclopedia Ii - Scene Graph - Scene-graph And Bounding Volume Hierarchies Bvhs
Bounding Volume Hierarchies (BVHs) are useful for numerous tasks - including efficient culling and speeding up collision detection betwee...   » Read the article

Encyclopedia - Prime Number Theorem: Encyclopedia Ii - Prime Number Theorem - Bounds On The Prime Counting Function
The prime number theorem is an asymptotic result. Hence, it cannot be used to bound π(x). However, some bounds on π(x) are known, for i...   » Read the article

Encyclopedia - Birthday Paradox: Encyclopedia Ii - Birthday Paradox - An Upper Bound And A Different Perspective
The argument below is adapted from an argument of Paul Halmos.2 Recollect from above that the probability that no two birthdays coincide ...   » Read the article

Encyclopedia - Low-discrepancy Sequence: Encyclopedia Ii - Low-discrepancy Sequence - Lower Bounds
Let s = 1. Then for any finite point set x1, ..., xN. Let s = 2. W. M. Schmidt proved that for any finit...   » Read the article

Encyclopedia - Entropy In Thermodynamics And Information Theory: Encyclopedia Ii - Entropy In Thermodynamics And Information Theory - The Von Neumann-landauer Bound
A theoretical application of this formal equivalence of thermodynamic entropy and information-theoretic entropy in the discrete case yiel...   » Read the article

Encyclopedia - Caltanissetta: Encyclopedia Ii - Caltanissetta - Economy
The economy of Caltanissetta remained deeply related to agriculture until the 19th century, when a heavy sulfur mining industry began. So...   » Read the article

Encyclopedia - Caltanissetta: Encyclopedia Ii - Caltanissetta - Sights
The city's monuments include: Palazzo Moncada is a large building, remained unfinished, erected in 1635 by Guglielmo Moncada. It has fin...   » Read the article

Encyclopedia - Caltanissetta: Encyclopedia Ii - Caltanissetta - History
Caltanissetta's origins can be traced back to 406 BC, when admiral Nicia of Hamilcar's siege force from Carthage established a fort at th...   » Read the article

Encyclopedia - Infimum: Encyclopedia Ii - Infimum - Infima Of Real Numbers
In analysis the infimum or greatest lower bound of a set S of real numbers is denoted by inf(S) and is defined to be the biggest real num...   » Read the article

Encyclopedia - Supremum: Encyclopedia Ii - Supremum - Supremum Of A Set Of Real Numbers
In analysis the supremum or least upper bound of a set S of real numbers is denoted by sup(S) and is defined to be the smallest real numb...   » Read the article

Encyclopedia - Supremum: Encyclopedia Ii - Supremum - Suprema Within Partially Ordered Sets
Least upper bounds are important concepts in order theory, where they are also called joins (especially in lattice theory). As in the spe...   » Read the article

Encyclopedia - Infimum: Encyclopedia Ii - Infimum - Infima In Partially Ordered Sets
The definition of infima easily generalizes to subsets of arbitrary partially ordered sets and as such plays a vital role in order theory...   » Read the article

Encyclopedia - Gounki: Encyclopedia Ii - Gounki - Rules
Gounki - Starting Position. Gounki is played on an eight-by-eight square. Each player has eight round pieces and eight square pieces, p...   » Read the article

Encyclopedia - Province Of Caltanissetta: Encyclopedia Ii - Province Of Caltanissetta - Geography
The province extends to the central part of Sicily in the northwestern direction where the capital is located. The commune of Resuttano i...   » Read the article

Encyclopedia - Supremum: Encyclopedia Ii - Supremum - Comparison With Other Order Theoretical Notions
Supremum - Greatest elements. The difference between the supremum of a set and the greatest element of a set may not be immediately obv...   » Read the article

Encyclopedia - Woody Guthrie: Encyclopedia Ii - Woody Guthrie - Legacy
By the time of Guthrie's death, his work had been discovered by a new audience, introduced to them in part through Bob Dylan, who visited...   » Read the article

Encyclopedia - Gela: Encyclopedia Ii - Gela - Very Brief History
Around 688 BC, the city was founded by colonists from Rhodos and Crete, 45 years after Syracuse. The city was named after the river Gela....   » Read the article

Encyclopedia - Ribosome: Encyclopedia Ii - Ribosome - Atomic Structure
The atomic structure of the 50S large subunit ribosome from the archeal, Haloarcula marismortui was published in Science on August 11, 20...   » Read the article

Encyclopedia - Ribosome: Encyclopedia Ii - Ribosome - Overview
Ribosomes consist of two subunits (Figure 1) that fit together (Figure 2) and work as one to translate the mRNA into a polypeptide chain ...   » Read the article

Encyclopedia - Ssx: Encyclopedia Ii - Ssx - Gameplay
Players may choose any one of a number of riders, each with their own statistics and boarding style. A course is selected and the player ...   » Read the article

Encyclopedia - Ssx: Encyclopedia Ii - Ssx - Ssx And Ssx Tricky
SSX was released only for the PlayStation 2 for its launch in October 2000. SSX was developed by EA Canada, SSX Tricky by EA Sports. SSX ...   » Read the article

Encyclopedia - Ssx: Encyclopedia Ii - Ssx - Ssx 3
SSX 3 was released on October 20, 2003 on all the same platforms SSX Tricky was released on, as well as the Gizmondo. It was developed by...   » Read the article

Encyclopedia - Heap: Encyclopedia Ii - Heap - Heap Applications
Heaps are favourite data structures for many applications. Heap sort: One of the best sorting methods being in-place and with no quadrat...   » Read the article

Encyclopedia - Haibane Renmei: Encyclopedia Ii - Haibane Renmei - Plot Summary
The series starts out with two parallel scenes. One contains the image of a girl falling from the sky, cradling a crow; it tries to stop ...   » Read the article

Encyclopedia - Haibane Renmei: Encyclopedia Ii - Haibane Renmei - Haibane
The Haibane are a race of people who resemble angels in that they have wings and haloes. However, their wings are short, not functional, ...   » Read the article

Encyclopedia - Alternating Turing Machine: Encyclopedia Ii - Alternating Turing Machine - Example
Perhaps the simplest problem for alternating machines to solve is the quantified boolean formula problem, which is a generalization of th...   » Read the article

Encyclopedia - Whaling In Japan: Encyclopedia Ii - Whaling In Japan - Japanese Whaling Since The Suspension Of Commercial Whaling
Whaling in Japan - Whales taken by Japan while not bound by IWC suspension. Whaling in Japan - Whales taken under Special Permit scien...   » Read the article

Encyclopedia - Hermitian Adjoint: Encyclopedia Ii - Hermitian Adjoint - Properties
Immediate properties: A** = A (A + B )* = A* + B* (λA)* = λ* A*, where λ* denotes the complex conjugate of the complex number λ (AB)...   » Read the article

Encyclopedia - Hermitian Adjoint: Encyclopedia Ii - Hermitian Adjoint - Hermitian Operators
A bounded operator A : H → H is called Hermitian or self-adjoint if A = A* which is equivalent to In some sense, these operat...   » Read the article

Encyclopedia - Joint Entropy: Encyclopedia Ii - Joint Entropy - Properties
Joint entropy - Greater than subsystem entropies. The joint entropy is always at least equal to the entropies of the original system; a...   » Read the article

Encyclopedia - Hermitian Adjoint: Encyclopedia Ii - Hermitian Adjoint - Other Adjoints
The equation is formally similar to the defining properties of pairs of adjoint functors in category theory, and this is where adjoint...   » Read the article

Encyclopedia - Busy Beaver: Encyclopedia Ii - Busy Beaver - Examples Of Busy Beaver Turing Machines
These are tables of rules for Turing machines that generate Σ(1), Σ(2), and the best known lower bound for Σ(6) and S(6). The latter e...   » Read the article

Encyclopedia - Empty Set: Encyclopedia Ii - Empty Set - Properties
(Here we use mathematical symbols.) For any set A, the empty set is a subset of A: ∀A: ⊆ A For any set A, the union of A with th...   » Read the article

Encyclopedia - Whaling In Japan: Encyclopedia Ii - Whaling In Japan - History
The oldest written mention of whaling in Japanese records is from Kojiki, the oldest known Japanese historical book. It dates back to 712...   » Read the article

Encyclopedia - Empty Set: Encyclopedia Ii - Empty Set - Notation
The standard notation for denoting the empty set is the symbol or ∅, introduced by the Bourbaki group (specifically André Weil) in 19...   » Read the article

Encyclopedia - Empty Set: Encyclopedia Ii - Empty Set - Common Problems
The empty set is not the same thing as nothing; it is a set with nothing inside it, and a set is something. This often causes difficulty ...   » Read the article

Encyclopedia - Busy Beaver: Encyclopedia Ii - Busy Beaver - Definition And Known Values
The two functions defined below, called Busy Beaver functions, were introduced in 1962 by Tibor Rado as simple examples of noncomputable ...   » Read the article

Encyclopedia - Busy Beaver: Encyclopedia Ii - Busy Beaver - Trivial Proof For Uncomputability Of Sn And Σn
Suppose that S(n) is a computable function and let EvalS denote a TM, evaluating S(n). Given a tape with n 1s it will produce S(n) 1's on...   » Read the article

Encyclopedia - Alpha-beta Pruning: Encyclopedia Ii - Alpha-beta Pruning - Improvements Over Minimax
The benefit of alpha-beta pruning lies in the fact that branches of the search tree can be eliminated. The search time can in this way be...   » Read the article

Encyclopedia - Alternating Turing Machine: Encyclopedia Ii - Alternating Turing Machine - Definitions
Alternating Turing machine - Informal Description. The definition of NP uses the existential mode of computation: if any choice leads t...   » Read the article

Encyclopedia - Spectrum Functional Analysis: Encyclopedia Ii - Spectrum Functional Analysis - Spectrum Of Unbounded Operators
One can extend the definition of spectrum for unbounded operators on a Banach space X, operators which are no longer elements in the Bana...   » Read the article

Encyclopedia - Low-discrepancy Sequence: Encyclopedia Ii - Low-discrepancy Sequence - The Erdős-turan-koksma Inequality
It is computationally hard to find the exact value of the discrepancy of large point sets. The Paul Erdős-Turán-Koksma inequality provi...   » Read the article

Encyclopedia - Sarin Gas Attack On The Tokyo Subway: Encyclopedia Ii - Sarin Gas Attack On The Tokyo Subway - Background
AUM Shinrikyō (オウム真理教, literally, "AUM the True Teaching") is the former name of a controversial religious group based in Ja...   » Read the article

Encyclopedia - Sarin Gas Attack On The Tokyo Subway: Encyclopedia Ii - Sarin Gas Attack On The Tokyo Subway - The Main Perpetrators
Ten men were responsible for carrying out the attacks; five released the sarin, while the other five served as get-away drivers. The team...   » Read the article

Encyclopedia - Sarin Gas Attack On The Tokyo Subway: Encyclopedia Ii - Sarin Gas Attack On The Tokyo Subway - Aftermath
Sarin gas attack on the Tokyo subway - The injured. The short- and long-term symptoms experienced by those affected included: bleeding...   » Read the article

Encyclopedia - Sarin Gas Attack On The Tokyo Subway: Encyclopedia Ii - Sarin Gas Attack On The Tokyo Subway - Aum/aleph Today
The sarin gas attack was the most serious terrorist attack in Japan's modern history. It caused massive disruption and widespread fear in...   » Read the article

Encyclopedia - Empty Set: Encyclopedia Ii - Empty Set - Does It Exist Or Is It Necessary?
While the empty set is a standard and universally accepted concept in mathematics, there are those who still entertain doubts. Jonathan L...   » Read the article

Encyclopedia - Busy Beaver: Encyclopedia Ii - Busy Beaver - Generalizations
For any model of computations there exist simple analogs for Busy Beaver. The generalization to Turing machines with n states and m symbo...   » Read the article

Encyclopedia - Hilbert Space: Encyclopedia Ii - Hilbert Space - Unbounded Operators
If a linear operator is defined on all of a Hilbert space then it is necessarily bounded. However, if we allow ourselves to define a line...   » Read the article

Encyclopedia - Low-discrepancy Sequence: Encyclopedia Ii - Low-discrepancy Sequence - The Koksma-hlawka Inequality
Let Īs be the s-dimensional unit cube, Īs = [0, 1] × ... × [0, 1]. Let f have bounded variation V(f) on Īs in the sense of Hardy and...   » Read the article

Encyclopedia - Spectrum Functional Analysis: Encyclopedia Ii - Spectrum Functional Analysis - Basic Properties
The spectrum σ(x) of an element x of B is always compact and non-empty. If the spectrum were empty, then the resolvent function R(λ) =...   » Read the article

Encyclopedia - Selection Algorithm: Encyclopedia Ii - Selection Algorithm - Partition Based General Selection Algorithm
Finding a worst-case linear algorithm for the general case of selecting the kth largest element is a much more difficult problem, but one...   » Read the article

Encyclopedia - Sarin Gas Attack On The Tokyo Subway: Encyclopedia Ii - Sarin Gas Attack On The Tokyo Subway - The Attack
Monday, 20 March 1995 was for most a normal workday, though the following day was a national holiday. The attack came at the peak of the ...   » Read the article

Encyclopedia - Low-discrepancy Sequence: Encyclopedia Ii - Low-discrepancy Sequence - The Formula Of Hlawka-zaremba
Let . For we write and denote by (xu,1) the point obtained from x by replacing the coordinates not in u by 1. Then ... See also:...   » Read the article

Encyclopedia - Binomial Coefficient: Encyclopedia Ii - Binomial Coefficient - Newton's Binomial Series
Any polynomial p(z) of degree d can be written in the form This is important in the theory of difference equations and can be seen as ...   » Read the article

Encyclopedia - Birthday Paradox: Encyclopedia Ii - Birthday Paradox - Approximations
Using the Taylor series expansion (some might say the definition) of the exponential function the above expression can be approximated...   » Read the article

Encyclopedia - Birthday Paradox: Encyclopedia Ii - Birthday Paradox - Reverse Problem
For a fixed probability p: Find the greatest n for which the probability p(n) is smaller than the given p, or Find the smallest n for wh...   » Read the article

Encyclopedia - Birthday Paradox: Encyclopedia Ii - Birthday Paradox - Generalization
The birthday problem can be generalised as follows: given n random integers drawn from a discrete uniform distribution with range [1,d], ...   » Read the article

Dictionary - Beating The Bounds: Witch Witchcraft Dictionary On Beating The Bounds
BEATING THE BOUNDS: This act is performed by a group of local folk perambulating their farms, manors, kirkyards or specific geographic...   » Read the article