A bound can be: A lower or upper bound — mathematics Bound (film) Bound state — physics Bound (band) Other related archivesBound (film), Bound state, lower, mathematics, physics, upper bound

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In mathematics, especially in order theory, an upper bound of a subset S of some partially ordered set is an element which is greater than or equal to every element of S. The term lower bound is defined dually. Formally, given a partially ordered set (P, ≤), an element u of P is an upper bound of a subset S of P, if s ≤ u, for all elements s of S. Using ≥ instead of ≤ leads to ...

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• Upper bound - Bounds of functions

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Bound (1996) is an American movie in the crime thriller genre, directed by the Wachowski brothers (of The Matrix fame). It stars Gina Gershon and Jennifer Tilly. The story revolves around the two main characters, Corky and Violet, and their attempt to steal 2 million dollars from Violet's Mafia-connected husband Caesar (played by Joe Pantoliano), while making him believe it was stolen by another Mafia member. There are numerous twists in the plot, as he and various other characte ...

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The Bekenstein Bound, derived by Jacob Bekenstein, imposes a limit on the entropy, and hence information, that can be contained within a box-shaped volume: Where S is the contained entropy, E is the energy of the contained matter as measured when the matter is moved to an infinite distance (i.e., accounting for binding force potential energies), and L is the length of the box. This relation was generalized by Gerard t' Hooft, to impose a limit on the entropy that can be contained within a spherical volume with a given surface area (in Planck uni ...

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In the mathematical field of order theory, a partially ordered set is bounded complete if all of its subsets which have some upper bound also have a least upper bound. Such a partial order can also be called consistently complete, since any upper bound of a set can be interpreted as some consistent (non-contradictory) piece of information that extends all the information present in the set. Hence the presence of some upper bound in a way guarantees the consistence of a set. Bounded completeness then yields the existence of a le ...

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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 other words, there exists a number M>0 such that for all x in X. The concept should not be confused with that of a bounded operator. An important special case is a bounded sequence, where X is taken to be the set N of natural numbers. Thus a sequence f = ( a0, a1< ...

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• Bounded function - Examples

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Hindu Quotes: Like Good Bound Books

The bonds that good men share, like good bound books,

.

(See also: Hinduism Archives, Hindu Quotes, Inspirational Quotes, Love Quotes, Friendship Quotes, Life Quotes)

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Kabir, the inspired poet weaver of northern India, declared that there was neither Hindu nor Muslim, but only man as the embodiment of the Divine.

Sufi texts record that after Saint Kabir died, his followers and fans, both Hindus and Muslims, fought for the right to either cremate or bury his remains. As the quarrel started fanning communal passions, an elder requested members of both communities to cover the saint'sbody and to wait till the next morning. Morning dawned and when the sheet was taken off, the warring communities found that in place of the body, two heaps of flowers were kept. The Hindus cremated the Tulsi flowers while the Muslims buried the Jasmine heap and the problem was over.

(See also: Peace on Earth, Peace of Mind, Love and Happiness, Life and Beyond, Body Mind and Soul)

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 Hackford. It follows the lives of the three hispanic boys Miklo (Damian Chapa), Cruz (Jesse Borrego) and Paco (Benjamin Bratt) from the early 1970s to the mid-1980s. They start out as members of the fictional street gang Vatos Locos in east Los Angeles. As dramatic incidents occur, their lives are drastically changed, as well as their friendship. It is by some regarded as a very ...

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• Bound by Honor - Cast
• Bound by Honor - Synopsis
• Bound by Honor - Fans and criticism
• Bound by Honor - Director's cut
• Bound by Honor - The dialogue

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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 mechanics (where the number of particles is conserved), a bound state is a state in the Hilbert space that corresponds to two or more particles whose interaction energy is negative, and therefore these particles cannot be separated unless energy is spent. The energy spectrum of a bound state is discrete, unlike the continuous spectrum of isolated particles. (Actually, it is possible to have unstable ...

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• Bound state - Examples

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Many models of human behavior in the social sciences assume that humans can be reasonably approximated or described as "rational" entities, especially as conceived by rational choice theory. Many economics models assume that people are hyperrational, and would never do anything to violate their preferences. Herbert Simon, in Models of My Life, points out that most people are only partly rational, and are in fact emotional/irrational in the remaining part of their actions. He gives Albert Einstein as an example of ...

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Cesena (ancient Caesena) is a city in the Emilia-Romagna region of northern Italy, south of Ravenna and west of Rimini, on the Savio River, population (july 2004) 93,110, co-chief of the Province of Forli-Cesena. It is at the foot of the Apennines, and about 15 km (10 mi) from the Adriatic Sea. It is notable as the birthplace of Pope Pius VI and Pope Pius VII, and once had Pope Pius VIII as bishop, and it therefor ...

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• Cesena - Bounding communes
• Cesena - Fractions or subdivisions

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Japan catches hundreds of whales every year, mainly from the South Pacific population of Minke Whales. The purpose of this killing is hotly, and perhaps irreconcilably, disputed by the pro- and anti- whaling lobbies. Currently, the Japanese Government and those who manage its whaling activities, say the whaling is for scientific research. Those opposed to Japanese whaling, such as the governments of Australia, the United States and other western countries, say the whaling is a t ...

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• Whaling in Japan - History
• 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 scientific whaling

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Bounding volumes are most often used to accelerate certain kinds of tests. In ray tracing, bounding volumes are used in ray-intersection tests, and in many rendering algorithms, it is used for viewing frustum tests. If the ray or viewing frustum does not intersect the bounding volume, it cannot intersect the object contained in the volume. These intersection tests produce a list of objects that must be displayed. Here, displayed means rendered or rasterized. In collision detection, when two bounding volumes do not i ...

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Bounding volume, Bounding volume - Uses of bounding volumes, Bounding volume - Common types of bounding volume, Bounding volume - Basic Intersection Checks, Bounding volume - External link

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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 upper bound of S. The terms bounded below and lower bound are similarly defined. A set S is bounded if it is bounded both above and below. Therefore, a set of real numbers is bounde ...

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Bounded set, Bounded set - Definition, Bounded set - Metric space, Bounded set - Boundedness in topological vector spaces, Bounded set - Boundedness in order theory

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A bounding sphere is a sphere containing the object. Spheres are very quick to test for collision with each other: two spheres are separated if the distance between their centres is greater than the sum of their radii. This makes bounding spheres appropriate for objects that can move in three dimensions. A bounding cylinder is an upright axis-aligned cylinder containing the object. Cylinders are appropriate for objects that can rotate about the vertical axis but not about other axes, and especially appropriate for object ...

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Bounding volume, Bounding volume - Uses of bounding volumes, Bounding volume - Common types of bounding volume, Bounding volume - Basic Intersection Checks, Bounding volume - External link

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Given measured correlation values described above as obtained in four (not necessarily disjoint) sets of trials J, K, L, and M, then, following suggestions by J. S. Bell [3], the correlation value obtained from observations collected in the trials of set L, P(A↑) (B «)( L ) = cos( g - v ) = { l = first of L Σ last of L}(nl (A↑) - nl (A↓)) (nl (B «) - ...

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Tsirelson's bound, Tsirelson's bound - Derivation following Tsirelson's elementary proof, Tsirelson's bound - The role of Landau's identity in deriving Tsirelson's inequality, Tsirelson's bound - Application to EPR experiments, Tsirelson's bound - Tsirelson's bound as bound for objective local theories, Tsirelson's bound - Comparison with the CHSH inequality

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For some types of bounding volume (OBB and Convex Polyhedra), an effective check is that of the "Separating Axis Test". The idea here is that, if there exists an axis by which the objects do not overlap, then the objects do not intersect. Usually the axes checked are those of the basic axes for the volumes (the unit axes in the case of an AABB, or the 3 base axes from each OBB in the case of OBBs). Often, this is followed by also checking the cro ...

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Bounding volume, Bounding volume - Uses of bounding volumes, Bounding volume - Common types of bounding volume, Bounding volume - Basic Intersection Checks, Bounding volume - External link

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Not every linear operator between normed spaces is bounded. Let X be the space of all trigonometric polynomials defined on [−π, π], with the norm Define the operator L:X→X which acts by taking the derivative, so it maps a polynomial P to its derivative P′. Then, for v = einx with n=1, 2, ...., we ha ...

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Bounded operator, Bounded operator - Examples, Bounded operator - Equivalence of boundedness and continuity, Bounded operator - Linearity and boundedness, Bounded operator - Further properties

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