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Bound | A Wisdom Archive on Bound |  | Bound A selection of articles related to Bound |  |
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| ARTICLES RELATED TO Bound | |  |  |  | Bound: Encyclopedia II - Haibane Renmei - Plot SummaryThe 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 her fall, but cannot. The other consists of a group of Haibane finding a large cocoon growing in a storage room. When the cocoon breaks open, the teenage girl inside is brought to the guest room, where she is cared for by several Haibane, mostly one named Reki. All the girl can remember is her dream of falling. As Haibane are traditionally named based on their dreams within the cocoon, she is named Rakka (" ...
See also:Haibane Renmei, Haibane Renmei - Characters, Haibane Renmei - Plot Summary, Haibane Renmei - Haibane, Haibane Renmei - Sin-Bound, Haibane Renmei - Context and Interpretation Read more here: » Haibane Renmei: Encyclopedia II - Haibane Renmei - Plot Summary |
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|  |  |  | Bound: Encyclopedia II - Haibane Renmei - HaibaneThe Haibane are a race of people who resemble angels in that they have wings and haloes. However, their wings are short, not functional, and rather than white they are charcoal grey. Furthermore, their haloes are forged for them by the Haibane Renmei, although it is likely the case that they can still only be worn by a Haibane.
Haibane are born from cocoons that grow from small seeds that appear in places such as Old Home (in all the depicted cases they in fact grow in uninhabited rooms). In the introduction sequence to the anime the ...
See also:Haibane Renmei, Haibane Renmei - Characters, Haibane Renmei - Plot Summary, Haibane Renmei - Haibane, Haibane Renmei - Sin-Bound, Haibane Renmei - Context and Interpretation Read more here: » Haibane Renmei: Encyclopedia II - Haibane Renmei - Haibane |
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| | | | | | |  |  |  | Bound: Encyclopedia II - Busy beaver - Examples of Busy Beaver Turing machinesThese 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 entry is listed because it is truly remarkable.
In the tables, the columns represent the current state and the rows represent the current symbol read from the tape. The table entries indicate the symbol to write onto the tape, the new state, and the direction to move over the tape.
Each machine begins in state A with an infinite tape that contains all 0's. Thus, the initial symbol read from the tape is a 0.
Result Key: (st ...
See also:Busy beaver, Busy beaver - Definition and known values, Busy beaver - Generalizations, Busy beaver - Trivial proof for uncomputability of Sn and Σn, Busy beaver - Examples of Busy Beaver Turing machines, Busy beaver - Exact values and lower bounds for some Snm and Σnm Read more here: » Busy beaver: Encyclopedia II - Busy beaver - Examples of Busy Beaver Turing machines |
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|  |  |  | Bound: 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 the empty set is A:
∀A: A ∪ = A
For any set A, the intersection of A with the empty set is the empty set:
∀A: A ∩ =
For any set A, the Cartesian product of A and the empty set is empty:
...
See also:Empty set, Empty set - Notation, Empty set - Properties, Empty set - Common problems, Empty set - Axiomatic set theory, Empty set - Does it exist or is it necessary?, Empty set - Operations on the empty set, Empty set - Bounds, Empty set - The empty set and zero, Empty set - Category theory Read more here: » Empty set: Encyclopedia II - Empty set - Properties |
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| |  |  |  | Bound: Encyclopedia II - Empty set - NotationThe standard notation for denoting the empty set is the symbol or ∅, introduced by the Bourbaki group (specifically André Weil) in 1939. [1] This should not be confused with the Scandinavian vowel Øø and the Greek letter Φ. Another common notation for the empty set is {}.
For comparison, see the three signs together: ∅ Øø Φ – the empty set sign is based on a geometric circle, whereas the Scandinav ...
See also:Empty set, Empty set - Notation, Empty set - Properties, Empty set - Common problems, Empty set - Axiomatic set theory, Empty set - Does it exist or is it necessary?, Empty set - Operations on the empty set, Empty set - Bounds, Empty set - The empty set and zero, Empty set - Category theory Read more here: » Empty set: Encyclopedia II - Empty set - Notation |
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|  |  |  | Bound: Encyclopedia II - Empty set - Common problemsThe 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 among those who first encounter it. It may be helpful to think of a set as a bag containing its elements; an empty bag may be empty, but the bag itself certainly exists.
Some people balk at the first property listed above, that the empty set is a subset of any set A. By the definition of subset, this claim means that for every element x of {}, x belong ...
See also:Empty set, Empty set - Notation, Empty set - Properties, Empty set - Common problems, Empty set - Axiomatic set theory, Empty set - Does it exist or is it necessary?, Empty set - Operations on the empty set, Empty set - Bounds, Empty set - The empty set and zero, Empty set - Category theory Read more here: » Empty set: Encyclopedia II - Empty set - Common problems |
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| | | |  |  |  | Bound: 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 to an accepting state, then the whole computation accepts. The definition of co-NP uses the universal mode of computation: if all choices lead to an accepting state, then the whole computation accepts. An alternating Turing machine (or to be more precise, the definition of acce ...
See also:Alternating Turing machine, Alternating Turing machine - Definitions, Alternating Turing machine - Informal Description, Alternating Turing machine - Formal Definition, Alternating Turing machine - Machine with k alternations, Alternating Turing machine - Resource bounds, Alternating Turing machine - Example, Alternating Turing machine - Complexity classes and comparison to deterministic Turing machines Read more here: » Alternating Turing machine: Encyclopedia II - Alternating Turing machine - Definitions |
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|  |  |  | Bound: Encyclopedia II - Spectrum functional analysis - Spectrum of unbounded operatorsOne can extend the definition of spectrum for unbounded operators on a Banach space X, operators which are no longer elements in the Banach algebra B(X). One proceeds in a manner similar to the bounded case. A complex number λ is said to be in the complement of the spectrum of a linear operator
if the operator is surjective, with its inverse a bounded operator. A complex number λ is then in the spectrum if this property fails to hold.
The spectrum ...
See also:Spectrum functional analysis, Spectrum functional analysis - Definition, Spectrum functional analysis - Basic properties, Spectrum functional analysis - Spectrum of a bounded operator, Spectrum functional analysis - Classification of points in the spectrum of an operator, Spectrum functional analysis - Point spectrum, Spectrum functional analysis - Approximate point spectrum, Spectrum functional analysis - Compression spectrum, Spectrum functional analysis - Further results, Spectrum functional analysis - Spectrum of unbounded operators Read more here: » Spectrum functional analysis: Encyclopedia II - Spectrum functional analysis - Spectrum of unbounded operators |
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|  |  |  | Bound: Encyclopedia II - Low-discrepancy sequence - The Erdős-Turan-Koksma inequalityIt is computationally hard to find the exact value of the discrepancy of large point sets. The Paul Erdős-Turán-Koksma inequality provides an upper bound.
Let x1,...,xN be points in Is and H be an arbitrary positive integer. Then
where
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See also:Low-discrepancy sequence, Low-discrepancy sequence - Definition of discrepancy, Low-discrepancy sequence - The Koksma-Hlawka inequality, Low-discrepancy sequence - The formula of Hlawka-Zaremba, Low-discrepancy sequence - The L2 version of the Koksma-Hlawka inequality, Low-discrepancy sequence - The Erdős-Turan-Koksma inequality, Low-discrepancy sequence - The main conjectures, Low-discrepancy sequence - The best-known sequences, Low-discrepancy sequence - Lower bounds, Low-discrepancy sequence - Applications Read more here: » Low-discrepancy sequence: Encyclopedia II - Low-discrepancy sequence - The Erdős-Turan-Koksma inequality |
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|  |  |  | Bound: Encyclopedia II - Sarin gas attack on the Tokyo subway - BackgroundAUM Shinrikyō (オウム真理教, literally, "AUM the True Teaching") is the former name of a controversial religious group based in Japan. The group gained international notoriety in 1995, when its founder and a group of followers were accused of masterminding the poison gas attack.
The name AUM Shinrikyō derives from the Hindu syllable "aum" (pronounced "ohm") meaning "powers of creation and destruction of a universe," and the Japanese words "shinri" ("truth") and "kyō" ("teaching," "doctrine"). In 2000, after the attack, ...
See also:Sarin gas attack on the Tokyo subway, Sarin gas attack on the Tokyo subway - Background, Sarin gas attack on the Tokyo subway - The main perpetrators, Sarin gas attack on the Tokyo subway - Hayashi Ikuo, Sarin gas attack on the Tokyo subway - Hirose Ken'ichi, Sarin gas attack on the Tokyo subway - Toyoda Tōru, Sarin gas attack on the Tokyo subway - Yokoyama Masato, Sarin gas attack on the Tokyo subway - Hayashi Yasuo, Sarin gas attack on the Tokyo subway - The attack, Sarin gas attack on the Tokyo subway - Chiyoda line, Sarin gas attack on the Tokyo subway - Marunouchi line Ogikubo-bound, Sarin gas attack on the Tokyo subway - Marunouchi line Ikebukuro-bound, Sarin gas attack on the Tokyo subway - Hibiya line departing Naka-meguro, Sarin gas attack on the Tokyo subway - Hibiya line Naka-meguro-bound, Sarin gas attack on the Tokyo subway - Aftermath, Sarin gas attack on the Tokyo subway - The injured, Sarin gas attack on the Tokyo subway - Emergency services, Sarin gas attack on the Tokyo subway - AUM/Aleph today Read more here: » Sarin gas attack on the Tokyo subway: Encyclopedia II - Sarin gas attack on the Tokyo subway - Background |
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|  |  |  | Bound: Encyclopedia II - Sarin gas attack on the Tokyo subway - The main perpetratorsTen men were responsible for carrying out the attacks; five released the sarin, while the other five served as get-away drivers.
The teams were:
Hayashi Ikuo (林 郁夫) and Niimi Tomomitsu (新見 智光)
Hirose Ken'ichi (広瀬 健一) and Kitamura Kōichi (北村 浩一)
Toyoda Tōru (豊田 亨) and Takahashi Katsuya (高橋 克也)
Yokoyama Masato (横山 真人) and Tonozaki Kiyotaka (外崎 清隆)
Hayashi Yasuo (林 泰男, no relation to Hayashi Ikuo) and Sugimoto Shigeo (杉本 繁郎)
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See also:Sarin gas attack on the Tokyo subway, Sarin gas attack on the Tokyo subway - Background, Sarin gas attack on the Tokyo subway - The main perpetrators, Sarin gas attack on the Tokyo subway - Hayashi Ikuo, Sarin gas attack on the Tokyo subway - Hirose Ken'ichi, Sarin gas attack on the Tokyo subway - Toyoda Tōru, Sarin gas attack on the Tokyo subway - Yokoyama Masato, Sarin gas attack on the Tokyo subway - Hayashi Yasuo, Sarin gas attack on the Tokyo subway - The attack, Sarin gas attack on the Tokyo subway - Chiyoda line, Sarin gas attack on the Tokyo subway - Marunouchi line Ogikubo-bound, Sarin gas attack on the Tokyo subway - Marunouchi line Ikebukuro-bound, Sarin gas attack on the Tokyo subway - Hibiya line departing Naka-meguro, Sarin gas attack on the Tokyo subway - Hibiya line Naka-meguro-bound, Sarin gas attack on the Tokyo subway - Aftermath, Sarin gas attack on the Tokyo subway - The injured, Sarin gas attack on the Tokyo subway - Emergency services, Sarin gas attack on the Tokyo subway - AUM/Aleph today Read more here: » Sarin gas attack on the Tokyo subway: Encyclopedia II - Sarin gas attack on the Tokyo subway - The main perpetrators |
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