Encyclopedia - Space: Encyclopedia - Space
Attempting to understand the nature of space has always been a prime occupation for philosophers and scientists. Perhaps as a result of t...   » Read the article

Encyclopedia - Space: Encyclopedia Ii - Space - Mathematics And Space
In mathematics, a space is a set, with some particular properties and usually some additional structure. It is not a formally defined con...   » Read the article

Encyclopedia - Space: Encyclopedia Ii - Space - Use Of Space
The definition of physical space in relation to ownership, in which space is seen as property, has long been an important issue. Whilst s...   » Read the article

Encyclopedia - Configuration Space: Encyclopedia - Configuration Space
In classical mechanics, the configuration space is the space of possible positions that a physical system may attain, possibly subject to...   » Read the article

Encyclopedia - Cognitive Space: Encyclopedia - Cognitive Space
Cognitive space uses the analogy of location in two, three or higher dimentional space to describe and categorize the thoughts, memories ...   » Read the article

Encyclopedia - Zero-dimensional Space: Encyclopedia - Zero-dimensional Space
In mathematics, a topological space is zero-dimensional if its topological dimension is zero, or equivalently, if it has a base consistin...   » Read the article

Encyclopedia - Uniform Space: Encyclopedia - Uniform Space
In the mathematical field of topology, a uniform space is a set with a uniform structure. Uniform spaces are topological spaces with addi...   » Read the article

Encyclopedia - Banach Space: Encyclopedia - Banach Space
In mathematics, Banach spaces, named after Stefan Banach who studied them, are one of the central objects of study in functional analysis...   » Read the article

Encyclopedia - Space: Encyclopedia Ii - Space - The Philosophy Of Space
Space has a range of definitions. One view of space is that it is part of the fundamental structure of the universe, a set of dimensions...   » Read the article

Encyclopedia - Space: Encyclopedia Ii - Space - Physics And Space
Space is one of the few fundamental quantities in physics meaning it can't be defined via other quantities because there is nothing more ...   » Read the article

Encyclopedia - Space: Encyclopedia Ii - Space - The Psychology Of Space
The way in which space is perceived is an area which psychologists first began to study in the middle of the 19th century, and it is now ...   » Read the article

Encyclopedia - Space: Encyclopedia Ii - Space - Mathematical Spaces
In mathematics, a space is a set, with some particular properties and usually some additional structure. It is not a formally defined con...   » Read the article

Encyclopedia - Space: Encyclopedia Ii - Space - The Philosophy Of Space
Space has a range of definitions. One view of space is that it is part of the fundamental structure of the universe, a set of dimensions...   » Read the article

Encyclopedia - Space Exploration: Encyclopedia Ii - Space Exploration - Space Agencies
Space exploration - Argentinian Space Agency. The Argentina Space Agency, founded in 1996 is oriented to the development of Earth Obser...   » Read the article

Encyclopedia - Space Exploration: Encyclopedia Ii - Space Exploration - Orbiting And Reaching Space
From a spaceflight perspective, the definition of space usually used is that space begins 100 km (62 miles) above Earth's surface. The Un...   » Read the article

Encyclopedia - Banach Space: Encyclopedia Ii - Banach Space - Relationship To Hilbert Spaces
As mentioned above, every Hilbert space is a Banach space because, by definition, a Hilbert space is complete with respect to the norm as...   » Read the article

Encyclopedia - Space Exploration: Encyclopedia Ii - Space Exploration - Timeline Of Space Exploration
Space exploration - 1957-1975. 1Project Vanguard was transferred from the NRL to NASA immediately before launch. 2 The Soviet Union had...   » Read the article

Encyclopedia - Pointed Space: Encyclopedia Ii - Pointed Space - Category Of Pointed Spaces
The class of all pointed spaces forms a category Top• with basepoint preserving continuous maps as morphisms. Another way to think abou...   » Read the article

Encyclopedia - Banach Space: Encyclopedia Ii - Banach Space - Dual Space
If V is a Banach space and K is the underlying field (either the real or the complex numbers), then K is itself a Banach space (using the...   » Read the article

Encyclopedia - Intermembrane Space: Encyclopedia Ii - Intermembrane Space - Intermembrane Space Of Mitochondria
Because of channels in the outer membrane of the mitochondria, the content of the intermembrane space is similar to that of the content ...   » Read the article

Encyclopedia - Topological Space: Encyclopedia Ii - Topological Space - Classification Of Topological Spaces
Topological spaces can be broadly classified, up to homeomorphism, by their topological properties. A topological property is a property ...   » Read the article

Encyclopedia - Pitch Space: Encyclopedia Ii - Pitch Space - Fibered Pitch Space
In analogy with mathematical usage, we might call a modulatory space the base space, and another space over each point of it, giving the ...   » Read the article

Encyclopedia - Hilbert Space: Encyclopedia Ii - Hilbert Space - Definition
Every inner product <.,.> on a real or complex vector space H gives rise to a norm ||.|| as follows: We call H a Hilbert space i...   » Read the article

Encyclopedia - Space And Survival: Encyclopedia Ii - Space And Survival - Opportunities For Space Colonization
Space colonies do not currently exist. There is a concern that the human species may lose its technological knowledge, use up required re...   » Read the article

Encyclopedia - Space And Survival: Encyclopedia Ii - Space And Survival - Uses Of Space Science
The observation and study of space protects Earth. Space hazards can be seen in advance and acted against. Space and survival - Near-Ear...   » Read the article

Encyclopedia - Space Exploration: Encyclopedia Ii - Space Exploration - Criticisms
It is more expensive to perform certain tasks in space with humans rather than by robots or machines. Humans need large spacecraft that c...   » Read the article

Encyclopedia - Space Mountain: Encyclopedia Ii - Space Mountain - Space Mountain At Disneyland
Space Mountain was closed at Disneyland in April of 2003, as the roller coaster inside the mountain was being replaced with a completely ...   » Read the article

Encyclopedia - Space And Survival: Encyclopedia Ii - Space And Survival - Uses Of Space Colonization
Extinction can be prevented by improving the physical barrier or increasing the distance between people and the potential extinction even...   » Read the article

Encyclopedia - Uniform Space: Encyclopedia Ii - Uniform Space - Topology Of Uniform Spaces
Every uniform space X becomes a topological space by defining a subset O of X to be open if and only if for every x in O there exists an ...   » Read the article

Encyclopedia - Normal Space: Encyclopedia Ii - Normal Space - Examples Of Normal Spaces
Most spaces encountered in mathematical analysis are normal Hausdorff spaces, or at least normal regular spaces: All metric spaces (and ...   » Read the article

Encyclopedia - Space Race: Encyclopedia Ii - Space Race - The End Of The Space Race
While the Sputnik 1 launch can clearly be called the start of the Space Race, its end is more debatable. Most hotly contested during the ...   » Read the article

Encyclopedia - Space Station: Encyclopedia Ii - Space Station - Types Of Space Station
Broadly speaking, the space stations so far launched have been of two types; the earlier stations, Salyut and Skylab, have been "monolith...   » Read the article

Encyclopedia - Cycle Space: Encyclopedia Ii - Cycle Space - The Integral Cycle Space
The foregoing development can be carried out over the integers, Z. The integral edge space is the abelian group ZE of functions from the ...   » Read the article

Encyclopedia - Banach Space: Encyclopedia Ii - Banach Space - Examples
Throughout, let K stand for one of the fields R or C. The familiar Euclidean spaces Kn, where the Euclidean norm of x = (x1, ..., xn) is ...   » Read the article

Encyclopedia - Hilbert Space: Encyclopedia Ii - Hilbert Space - Examples
In these examples, we will assume the underlying field of scalars is C, although the definitions apply to the case in which the underlyin...   » Read the article

Encyclopedia - Space Race: Encyclopedia Ii - Space Race - Legacy Of The Space Race
Space Race - Advances in technology and education. Technology, especially in aerospace engineering and electronic communication, advanc...   » Read the article

Encyclopedia - Sequence Space: Encyclopedia Ii - Sequence Space - Definition
We identify the set of all functions with the set of all sequences with This set can be turned into a vector space by defining vec...   » Read the article

Encyclopedia - Space Race: Encyclopedia Ii - Space Race - Military Competition In Space
Out of view, but no less real a competition, the drive to develop space for military uses paralleled scientific efforts. Well before the ...   » Read the article

Encyclopedia - Sequence Space: Encyclopedia Ii - Sequence Space - Examples
The space of bounded sequence (sometimes called m) consisting of all bounded sequences The space of convergent sequences c consisting...   » Read the article

Encyclopedia - Modulatory Space: Encyclopedia Ii - Modulatory Space - Cylindrical Modulatory Spaces
A temperament of rank two which is not linear has one generator which is a fraction of an octave, called the period. We may represent the...   » Read the article

Encyclopedia - Space Character: Encyclopedia Ii - Space Character - Spaces And Digital Typography
In computer character sets, the normal space corresponds to Unicode and ASCII character 32, or U+0020. In HTML and XML multiple spaces or...   » Read the article

Encyclopedia - Pitch Space: Encyclopedia Ii - Pitch Space - History Of Pitch Space
The idea of pitch space goes back at least as far as the ancient Greek music theorists known as the Harmonists. To quote one of their num...   » Read the article

Encyclopedia - Cycle Space: Encyclopedia Ii - Cycle Space - The Binary Cycle Space
In graph theory, certain vector spaces over the two-element field Z2 are associated with an undirected graph; this allows one to use the ...   » Read the article

Encyclopedia - Discrete Space: Encyclopedia Ii - Discrete Space - Definitions
Given a set X: the discrete topology on X is defined by letting every subset of X be open, and X is a discrete topological space if it i...   » Read the article

Encyclopedia - Spaced: Encyclopedia Ii - Spaced - Main Characters
Spaced - Tim Bisley. (Played by Simon Pegg): Tim, an aspiring comic book artist, amateur skateboarder and passionate follower of cult f...   » Read the article

Encyclopedia - Spaced: Encyclopedia Ii - Spaced - Episode Guide
Spaced - Series 1. Beginnings - Daisy and Tim meet in a small cafe and bond over their mutual search for accommodation (he's been kick...   » Read the article

Encyclopedia - Spaced: Encyclopedia Ii - Spaced - Style And References
References to popular culture - particularly but not exclusively to science fiction and horror films, comic books and video games - aboun...   » Read the article

Encyclopedia - Reflexive Space: Encyclopedia Ii - Reflexive Space - Examples
All Hilbert spaces are reflexive, as are the Lp spaces for 1 < p < ∞. More generally: all uniformly convex Banach spaces are refl...   » Read the article

Encyclopedia - Hilbert Space: Encyclopedia Ii - Hilbert Space - Introduction
Hilbert spaces were named after David Hilbert, who studied them in the context of integral equations. The origin of the designation "der ...   » Read the article

Encyclopedia - Ringed Space: Encyclopedia Ii - Ringed Space - Tangent Spaces
Locally ringed spaces have just enough structure to allow the meaningful definition of tangent spaces. Let X be locally ringed space with...   » Read the article

Encyclopedia - Space Group: Encyclopedia Ii - Space Group - Space Groups In Crystallography
The space groups in three dimensions are made from combinations of the 32 crystallographic point groups with the 14 Bravais lattices whic...   » Read the article

Encyclopedia - Topological Space: Encyclopedia Ii - Topological Space - Definition
A topological space is a set X together with a collection T of subsets of X satisfying the following axioms: The empty set and X are in ...   » Read the article

Encyclopedia - Topological Space: Encyclopedia Ii - Topological Space - Definition
A topological space is a set X together with a collection T of subsets of X satisfying the following axioms: The empty set and X are in ...   » Read the article

Encyclopedia - Hilbert Space: Encyclopedia Ii - Hilbert Space - Bases
An important concept is that of an orthonormal basis of a Hilbert space H: this is a family {ek}k ∈ B of H satisfying: Elements are no...   » Read the article

Encyclopedia - Hausdorff Space: Encyclopedia Ii - Hausdorff Space - Variants
The terms "Hausdorff", "separated", and "preregular" can also be applied to such variants on topological spaces as uniform spaces, Cauchy...   » Read the article

Encyclopedia - Uniform Space: Encyclopedia Ii - Uniform Space - Completeness
Analogous to the notion of complete metric space, one can also consider completeness in a uniform space. Instead of working with Cauchy s...   » Read the article

Encyclopedia - Space Needle: Encyclopedia Ii - Space Needle - Collapse Of The Space Needle
On the first day of April, 1985, Seattle area TV program Almost Live! set up a phony broadcast room and dressed actors as TV anchors to p...   » Read the article

Encyclopedia - Space Wolves: Encyclopedia Ii - Space Wolves - Organization
The Space Wolves are known for their fiercely anti-authoritarian behaviour. They strongly resist the central command structure of the Imp...   » Read the article

Encyclopedia - Space Tourism: Encyclopedia Ii - Space Tourism - Commercial Space Flights
More affordable space tourism is viewed as a money-making proposition by several companies, including Virgin Galactic, Blue Origin, Armad...   » Read the article

Encyclopedia - Ringed Space: Encyclopedia Ii - Ringed Space - Definition
Formally, a ringed space is a topological space X together with a sheaf of commutative rings OX on X. The sheaf OX is called the structur...   » Read the article

Encyclopedia - Function Space: Encyclopedia Ii - Function Space - List Of Function Spaces
Function space - Functional analysis. Schwartz space of smooth functions of rapid decrease and its dual, tempered distributions Lp spa...   » Read the article

Encyclopedia - Modulatory Space: Encyclopedia Ii - Modulatory Space - Toroidal Modulatory Spaces
If we divide the octave into n parts, where n = rs is the product of two relatively prime integers r and s, we may represent every elemen...   » Read the article

Encyclopedia - Space Colonization: Encyclopedia Ii - Space Colonization - Justification
See also: Space and survival In 2001, the space news website SPACE.com asked Freeman Dyson, J. Richard Gott and Sid Goldstein for reasons...   » Read the article

Encyclopedia - Tychonoff Space: Encyclopedia Ii - Tychonoff Space - Definitions
Suppose that X is a topological space. X is a completely regular space iff, given any closed set F and any point x that does not belong t...   » Read the article

Encyclopedia - Uniform Space: Encyclopedia Ii - Uniform Space - Intuition
In metric spaces, continuity and uniformity are usually defined in terms of δ’s and ε’s specifying numeric values of closeness. Int...   » Read the article

Encyclopedia - Space Colonization: Encyclopedia Ii - Space Colonization - Objections
There are many who object to the idea of colonizing space as being too expensive and a waste of time. There is nothing in space that we r...   » Read the article

Encyclopedia - Space Character: Encyclopedia Ii - Space Character - Zero-width Space
A zero-width space &#8203; is usually not visible, but it may expand in passages that are fully justified. In HTML pages this space c...   » Read the article

Encyclopedia - Euclidean Space: Encyclopedia Ii - Euclidean Space - Real Coordinate Space
Let R denote the field of real numbers. For any non-negative integer n, the space of all n-tuples of real numbers forms an n-dimensional ...   » Read the article

Encyclopedia - Space Colonization: Encyclopedia Ii - Space Colonization - Method
Building cities in space will require materials, energy, transportation, communications, life support, and radiation protection. Space c...   » Read the article

Encyclopedia - Space Godzilla: Encyclopedia Ii - Space Godzilla - Origins
Space Godzilla (スペースゴジラ - Supêsu Gojira, alternatively written SpaceGodzilla), is a modified clone of Godzilla featured in...   » Read the article

Encyclopedia - Dual Space: Encyclopedia Ii - Dual Space - Algebraic Dual Space
Given any vector space V over some field F, we define the dual space V* to be the set of all linear functionals on V, i.e., scalar-valued...   » Read the article

Encyclopedia - Uniform Space: Encyclopedia Ii - Uniform Space - Definition
Uniform space - Entourage definition. A uniform space (X,Φ) is a set X equipped with a nonempty family of subsets of the Cartesian pro...   » Read the article

Encyclopedia - Space Wolves: Encyclopedia Ii - Space Wolves - History
Space Wolves - Leman Russ. The Space Wolves Primarch Leman Russ, like all twenty Primarchs, mysteriously vanished from the Emperor's la...   » Read the article

Encyclopedia - Space Wolves: Encyclopedia Ii - Space Wolves - Appearance
Prior to the Horus Heresy, the Space Wolves Legion wore grey power armour, with a red snarling wolf as the Legion symbol. In the 41st mil...   » Read the article

Encyclopedia - Space Colonization: Encyclopedia Ii - Space Colonization - Location
Location is a frequent point of contention between space colonization advocates. The location of colonization can be: On a planet, natur...   » Read the article

Encyclopedia - Space Colonization: Encyclopedia Ii - Space Colonization - Location
Location is a frequent point of contention between space colonization advocates. The location of colonization can be: On a planet, natur...   » Read the article

Encyclopedia - Space Invaders: Encyclopedia Ii - Space Invaders - Implementation
One key feature of Space Invaders was the fact that as more and more of the aliens were shot, the remaining aliens would move faster and ...   » Read the article

Encyclopedia - Hausdorff Space: Encyclopedia Ii - Hausdorff Space - Properties
One of the nicest properties of Hausdorff spaces is that limits of sequences, nets, and filters are unique whenever they exist. In fact, ...   » Read the article

Encyclopedia - Algebraic Space: Encyclopedia Ii - Algebraic Space - Definition
An algebraic space X is comprised of an affine scheme U and a closed subscheme R ⊂ U × U satisfying the following two conditions: 1. ...   » Read the article

Encyclopedia - Space Invaders: Encyclopedia Ii - Space Invaders - Description
The game itself was an adaptation of the popular shooting gallery games that were a mainstay of carnivals. In this electronic version of ...   » Read the article

Encyclopedia - Complete Space: Encyclopedia Ii - Complete Space - Completion
For any metric space M, one can construct a complete metric space M' (which is also denoted as M with a bar over it), which contains M as...   » Read the article

Encyclopedia - Normed Vector Space: Encyclopedia Ii - Normed Vector Space - Normed Spaces As Quotient Spaces Of Semi Normed Spaces
The definition of many normed spaces (in particular, Banach spaces) involves a seminorm defined on a vector space and then the normed spa...   » Read the article

Encyclopedia - Discrete Space: Encyclopedia Ii - Discrete Space - Uses
A discrete structure is often used as the "default structure" on a set that doesn't carry any other natural topology, uniformity, or metr...   » Read the article

Encyclopedia - Hilbert Space: Encyclopedia Ii - Hilbert Space - Reflexivity
An important property of any Hilbert space is its reflexivity. In fact, more is true: one has a complete and convenient description of it...   » Read the article

Encyclopedia - Animals In Space: Encyclopedia Ii - Animals In Space - 1970s
Two bullfrogs were launched on a one way mission on the Orbiting Frog Otolith satellite on November 9, 1970 to better understand space mo...   » Read the article

Encyclopedia - Space Race: Encyclopedia Ii - Space Race - Deaths
When America's Apollo 15 left the moon, the astronauts left behind a memorial to astronauts from both nations who had perished during the...   » Read the article

Encyclopedia - Complete Space: Encyclopedia Ii - Complete Space - Examples
The space Q of rational numbers, with the standard metric given by the absolute value, is not complete. Consider for instance the sequenc...   » Read the article

Encyclopedia - Space Habitat: Encyclopedia Ii - Space Habitat - Motivation
There are several prominent reasons for space colonisation: security, profits, energy and raw materials. Space habitats are likely to be ...   » Read the article

Encyclopedia - T1 Space: Encyclopedia Ii - T1 Space - Definitions
Let X be a topological space and let x and y be points in X. We say that x and y can be separated if each lies in an open set which does ...   » Read the article

Encyclopedia - Space Exploration: Encyclopedia Ii - Space Exploration - Reusable Spacecraft
The first reusable spacecraft, the Space Shuttle, was launched by the USA on the 20th anniversary of Yuri Gagarin's flight, on April 12, ...   » Read the article

Encyclopedia - Known Space: Encyclopedia Ii - Known Space - Stories In Known Space
Unlike many fictional universes, the component tales of known space were largely released as short stories or serials in various science ...   » Read the article

Encyclopedia - Space Fountain: Encyclopedia Ii - Space Fountain - Variants
A Space Fountain does not have to go straight up. Instead, the projectiles from the base station could be launched at an angle, forming a...   » Read the article

Encyclopedia - Space Cadets: Encyclopedia Ii - Space Cadets - Premise
The series described itself as the most elaborate hoax perpetrated in television history. A group of twelve contestants (who answered an ...   » Read the article

Encyclopedia - Space Crusade: Encyclopedia Ii - Space Crusade - Gameplay
The game is designed to be played with 2 to 4 players. One player takes the role of the aliens, controlling all the aliens and monsters o...   » Read the article

Encyclopedia - Null Space: Encyclopedia Ii - Null Space - Example
Consider the function f(x,y) = x − y defined for x and y real numbers, which is linear as f(x + z,y + w) = (x + z) − (y + w) = f(x,y)...   » Read the article

Encyclopedia - Space: 1999: Encyclopedia Ii - Space: 1999 - Space: 2024?
Johnny Byrne has since revealed that Message was intended as a back-door pilot in hopes of promoting enough interest in the series to con...   » Read the article

Encyclopedia - Trading Spaces: Encyclopedia Ii - Trading Spaces - Cast
The show features different participants each episode. The host, designers and carptenters (the cast) are recurring (though there are onl...   » Read the article

Encyclopedia - Animals In Space: Encyclopedia Ii - Animals In Space - 1940s
The first animals intentionally sent into space were fruit flies which were sent along with corn seeds aboard a U.S.-launched V2 rocket i...   » Read the article

Encyclopedia - Animals In Space: Encyclopedia Ii - Animals In Space - 1950s
On August 31, 1950 the U.S. launched a mouse into space (137 km) aboard a V2 (the Albert V flight which unlike the Albert I-IV flights di...   » Read the article

Encyclopedia - Ultrametric Space: Encyclopedia Ii - Ultrametric Space - Properties
From the above definition, one can conclude several typical properties of ultrametrics. For example, in an ultrametric space, for all x, ...   » Read the article