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Determinant: Encyclopedia Ii - Determinant - General Definition And Computation
Suppose is a square matrix.
If A is a 1-by-1 matrix, then
If A is a 2-by-2 matrix, then
For a 3-by-3 matrix A, the formula is more com...
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Determinism: Encyclopedia - Determinism
Determinism is the philosophical proposition that every event, including human cognition and action, is causally determined by an unbroke...
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Determinant: Encyclopedia Ii - Determinant - Generalizations And Related Functions
As was pointed out above, it is possible to unambiguously define the determinant of any linear map f : V → V, if V is a finite-dim...
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Determinism: Encyclopedia Ii - Determinism - The Nature Of Determinism
The exact meaning of the term "determinism" has historically been subject to various interpretations. Some view determinism and free will...
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Determinism: Encyclopedia Ii - Determinism - The Nature Of Determinism
The exact meaning of the term "determinism" has historically been subject to various interpretations. Some view determinism and free will...
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Computer-generated Imagery: Encyclopedia - Computer-generated Imagery
Computer-generated imagery (CGI) is the application of the field of computer graphics (or more specifically, 3D computer graphics) to spe...
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Definition: Encyclopedia - Definition
A definition may be a statement of the essential properties of a certain thing, or a statement of equivalence between one expression and ...
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Computing: Encyclopedia - Computing
Originally, the word computing was synonymous with counting and calculating, and a science that deals with the original sense of computin...
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Determinism: Encyclopedia Ii - Determinism - Arguments Against Determinism
Determinism - Argument from morality.
Some critics of determinism argue that if people are assumed incapable of independent choice (fre...
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Computability Theory Computation: Encyclopedia - Computability Theory Computation
In computer science, computability theory is the branch of the theory of computation that studies which problems are computationally solv...
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Sex-determination System: Encyclopedia - Sex-determination System
A sex-determination system is a biological system that determines the development of sexual characteristics in an organism. In many cases...
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Causal Determinism: Encyclopedia - Causal Determinism
Put simply, causal determinism expresses the belief that every effect has a cause, and therefore science, pursued diligently enough, will...
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Computer: Encyclopedia - Computer
A computer is a machine capable of processing data according to a program — a list of instructions. The data to be processed may repres...
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Climatic Determinism: Encyclopedia - Climatic Determinism
Climatic Determinism or Environmental determinism is an aspect of economic geography. Also sometimes called the equatorial paradox. Accor...
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Computer Graphics: Encyclopedia - Computer Graphics
Computer graphics (CG) is the field of visual computing, where one utilizes computers both to generate visual images synthetically and to...
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Determinism: Encyclopedia Ii - Determinism - Arguments Against Determinism
Determinism - Argument from morality.
Some critics of determinism argue that if people are assumed incapable of independent choice (fre...
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Definition: Encyclopedia Ii - Definition - Determining Meaning: Extension Intension Ambiguity And Vagueness
Just as arguments can be good or bad, definitions can be good or bad. A definition gives us the meaning of a word. To understand this mor...
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Computable Function: Encyclopedia Ii - Computable Function - Definition
A partial function
is called computable if the graph of f is a recursively enumerable set. The set of partial computable functions wit...
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Computer Virus: Encyclopedia Ii - Computer Virus - Definition
A virus is a type of program that can replicate itself by making (possibly modified) copies of itself. The main criterion for classifying...
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Computer Virus: Encyclopedia Ii - Computer Virus - Definition
A virus is a type of program that can replicate itself by making (possibly modified) copies of itself. The main criterion for classifying...
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Spanish Determiners: Encyclopedia Ii - Spanish Determiners - Articles
Spanish determiners - Definite articles.
The definite article in Spanish, corresponding to "the", is el. It agrees for gender and numbe...
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Grid Computing: Encyclopedia Ii - Grid Computing - Definitions Of Grid Computing
The term Grid Computing originated in the early 1990s as a metaphor for making computer power as easy to access as an electric power Grid...
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Determinism: Encyclopedia Ii - Determinism - Modern Perspectives On Determinism
Determinism - Scientific determinism and first cause.
Since the early twentieth century when astronomer Edwin Hubble first hypothesized...
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Determinism: Encyclopedia Ii - Determinism - Modern Perspectives On Determinism
Determinism - Scientific determinism and first cause.
Since the early twentieth century when astronomer Edwin Hubble first hypothesized...
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Spanish Determiners: Encyclopedia Ii - Spanish Determiners - Demonstrative Determiners
Spanish has three levels of demonstrative pronouns (see deixis):
Closest to the speaker (proximal): este, esta, estos, estas
Closest to ...
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Computer-generated Imagery: Encyclopedia Ii - Computer-generated Imagery - History
2D CGI was first used in movies in 1973's Westworld, though the first use of 3D imagery was in its sequel, Futureworld (1976), which feat...
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Generating Function: Encyclopedia Ii - Generating Function - Definitions
Generating function - Ordinary generating function.
The ordinary generating function of a sequence an is
When generating function is...
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Determinism: Encyclopedia Ii - Determinism - A Multi-deterministic Position
One approach to determinism is to argue that materialism does not present a correct understanding of the universe, not because it is wron...
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Determinism: Encyclopedia Ii - Determinism - A Multi-deterministic Position
One approach to determinism is to argue that materialism does not present a correct understanding of the universe, not because it is wron...
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Computable Number: Encyclopedia Ii - Computable Number - Formal Definition
A real number a is said to be computable if it can be approximated by some algorithm (or Turing machine), in the following sense: given a...
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Computer-generated Imagery: Encyclopedia Ii - Computer-generated Imagery - Creating Characters And Objects On A Computer
Computer animation combines Vector graphics with programmed movement. The starting point is often a stick figure in which the position of...
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Trojan Horse Computing: Encyclopedia Ii - Trojan Horse Computing - Definition
A Trojan horse program has a useful and desired function, or at least it has the appearance of having such. In most cases the program per...
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Trojan Horse Computing: Encyclopedia Ii - Trojan Horse Computing - Definition
A Trojan horse program has a useful and desired function, or at least it has the appearance of having such. In most cases the program per...
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Random Number Generator: Encyclopedia Ii - Random Number Generator - Random Numbers In Computing
There exist many functions that computers can ultilize that obey statistical laws of randomness, and usually provide a number between 0 a...
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Holography: Encyclopedia Ii - Holography - Computer Generated Holographic Cinema
A method for producing Ultra High Definition Digital Holograms using a computer and software being developed by Extreme Reality and Reali...
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Holography: Encyclopedia Ii - Holography - Computer Generated Holographic Cinema
A method for producing Ultra High Definition Digital Holograms using a computer and software being developed by Extreme Reality, Reality ...
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Diversity Of Computer Science: Encyclopedia Ii - Diversity Of Computer Science - Alternative Definitions
Diversity of computer science - ACM definition.
According to the Association for Computing Machinery, "The discipline of computing is t...
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Diacritic: Encyclopedia Ii - Diacritic - Generation With Computers
Modern computer technology was developed mostly in the English speaking countries, so data formats, keyboard layouts, etc. were developed...
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Diacritic: Encyclopedia Ii - Diacritic - Generation With Computers
Modern computer technology was developed mostly in the English speaking countries, so data formats, keyboard layouts, etc. were developed...
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Exact Solutions In General Relativity: Encyclopedia Ii - Exact Solutions In General Relativity - Difficulties With The Definition
Take any Lorentzian manifold, compute its Einstein tensor Gab, which is a purely mathematical operation, divide by 8π, and declare the r...
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Exact Solutions In General Relativity: Encyclopedia Ii - Exact Solutions In General Relativity - Difficulties With The Definition
Take any Lorentzian manifold, compute its Einstein tensor Gab, which is a purely mathematical operation, divide by 8π, and declare the r...
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Crime: Encyclopedia Ii - Crime - Definition Of Crime In General
Most people who use this word are not "crime" specialists. Generally the word indicates a social concept of the person, where a specific ...
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Crime: Encyclopedia Ii - Crime - Definition Of Crime In General
Most people who use this word are not "crime" specialists. Generally the word indicates a social concept of the person, where a specific ...
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Climate: Encyclopedia Ii - Climate - Climate Determinants
In a given geographical region, the climate generally does not vary over time on the scale of a human life span. However, over geological...
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Next-generation Secure Computing Base: Encyclopedia Ii - Next-generation Secure Computing Base - Uses
NGSCB is currently set to be a framework for building Trusted Computing applications. It therefore has a wide range of potential uses, bu...
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History Of Computing Hardware: Encyclopedia Ii - History Of Computing Hardware - First Generation Of Electrical Digital Computers 1940s
The era of modern computing began with a flurry of development before and during World War II, as electronic circuits, relays, capacitors...
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Next-generation Secure Computing Base: Encyclopedia Ii - Next-generation Secure Computing Base - Criticism
NGSCB and Trusted Computing can be used to intentionally and arbitrarily lock certain users out from use of certain files, products and s...
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Probability-generating Function: Encyclopedia Ii - Probability-generating Function - Definition
If X is a discrete random variable taking values on some subset of the non-negative integers, {0,1, ...}, then the probability-generating...
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Random Number Generation: Encyclopedia Ii - Random Number Generation - Computational Methods
Pseudo-random number generators (PRNGs) are algorithms that can automatically create long runs (for example, millions of numbers long) wi...
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Spanish Determiners: Encyclopedia Ii - Spanish Determiners - Possessive Determiners
These are often known as possessive or genitive determiners. They are used before the noun they possess (and before the rest of the whole...
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Postal Computer Game: Encyclopedia Ii - Postal Computer Game - General Information
The game itself is an isometric shooter in which the targets are everyday human beings. An add-on to the game called Special Delivery was...
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History Of Computing Hardware 1960s-present: Encyclopedia Ii - History Of Computing Hardware 1960s-present - Third Generation
The explosion in the use of computers accelerated with 'Third Generation' computers. These generally relied on Jack St. Claire Kilby's in...
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History Of Computing Hardware 1960s-present: Encyclopedia Ii - History Of Computing Hardware 1960s-present - Fourth Generation
The basis of the fourth generation was Marcian Hoff's invention of the microprocessor.
Unlike Third generation minicomputers, which were ...
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Metric Tensor General Relativity: Encyclopedia Ii - Metric Tensor General Relativity - Definition
Mathematically, spacetime is represented by a 4-dimensional differentiable manifold M and the metric is given as a covariant, second-rank...
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List Of Computer Algebra Systems: Encyclopedia Ii - List Of Computer Algebra Systems - General Purpose
List of computer algebra systems - Proprietary.
Derive
DoCon
Maple
MathCad
Mathematica
MuMATH
MuPAD
Reduce
WIRIS
List of computer al...
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Periodic Function: Encyclopedia Ii - Periodic Function - General Definition
Let E be a set with an internal operation + . A T-periodic function, or function periodic with period T on E is a function f on E to some...
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Archon Computer Game: Encyclopedia Ii - Archon Computer Game - Description
Archon is visually very similar to chess, but with a number of significant changes.
While the pieces on the board have similar relative a...
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History Of Computing Hardware: Encyclopedia Ii - History Of Computing Hardware - First Generation Von Neumann Machines
The first working von Neumann machine was the Manchester "Baby" or Small-Scale Experimental Machine, built at the University of Mancheste...
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Modular Form: Encyclopedia Ii - Modular Form - General Definitions
Let N be a positive integer. The modular group Γ0(N) is defined as
Let k be a positive integer. A modular form of weight k with level...
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Slater Determinant: Encyclopedia Ii - Slater Determinant - Two-particle Case
The simplest way to approximate the wavefunction of a many-particle system is to take the product of properly chosen one-electron wavefun...
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Gaussian Period: Encyclopedia Ii - Gaussian Period - General Definitions
In general, given an integer n > 1, the Gaussian periods are sums of various primitive n-th roots of 1, or in other words various sums...
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Closeness Mathematics: Encyclopedia Ii - Closeness Mathematics - Generalized Definition
The closeness relation between a set and a point can be generalized to any topological space. Given a topological space and a point p, p ...
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Computability Theory Computation: Encyclopedia Ii - Computability Theory Computation - Power Of Computational Models
With these computational models in hand, we can determine what their limits are. That is, what classes of languages can they accept?
Com...
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Additive Inverse: Encyclopedia Ii - Additive Inverse - General Definition
The notation '+' is reserved for commutative binary operations, i.e. such that x + y = y + x, for all x,y. If such an operation admits a ...
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Monotonic Function: Encyclopedia Ii - Monotonic Function - General Definition
Let
f: P → Q
be a function between two sets P and Q, where each set carries a partial order (both of which we denote by ≤). In calc...
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Economy Of India: Encyclopedia Ii - Economy Of India - Determinants
Economy of India - Demographics.
India, with a population of 1.027 billion people, is the second most populous country in the world, ac...
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Definition: Encyclopedia Ii - Definition - A Definition Of 'definition'
Suppose we have decided to define a certain word or a concept associated with that word. Suppose also that we have identified which sense...
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Finitely-generated Module: Encyclopedia Ii - Finitely-generated Module - Formal Definition
The left R-module M is finitely-generated if and only if there exist a1, a2, ..., an in M such that for all x in M, there exist r1, r2, ....
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Next-generation Secure Computing Base: Encyclopedia Ii - Next-generation Secure Computing Base - Architecture And Technical Details
A complete Microsoft-based Trusted Computing-enabled system will consist not only of software components developed by Microsoft but also ...
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Luxury Car: Encyclopedia Ii - Luxury Car - General Definition U.s.
Generally a vehicle is considered to be a luxury vehicle if its manufacturer's suggested retail price (MSRP) is above $38,000 and it offe...
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Economy Of India: Encyclopedia Ii - Economy Of India - Determinants
Economy of India - Demographics.
Main article: Demographics of India
India, with a population of 1.027 billion people, is the second...
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History Of Computing Hardware: Encyclopedia Ii - History Of Computing Hardware - Postwar Von Neumann Machines -- The First Generation
The first working von Neumann machine was the Manchester "Baby" or Small-Scale Experimental Machine, built at the University of Mancheste...
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Sex-determination System: Encyclopedia Ii - Sex-determination System - Chromosomal Determination
Sex-determination system - Mammals.
The most familiar sex-determination system is the XY sex-determination system found in human beings...
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History Of Computing Hardware: Encyclopedia Ii - History Of Computing Hardware - Third Generation And Beyond Post-1960
The explosion in the use of computers began with 'Third Generation' computers. These relied on Jack St. Clair Kilby's and Robert Noyce's ...
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History Of Computing Hardware: Encyclopedia Ii - History Of Computing Hardware - Post-1960: Third Generation And Beyond
The explosion in the use of computers began with 'Third Generation' computers. These relied on Jack St. Clair Kilby's and Robert Noyce's ...
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Elevation: Encyclopedia Ii - Elevation - Determining Elevation
If you are reading a map from home, it is possible you may need to determine the elevation of some place. The main sort of map to use for...
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History Of Computing Hardware: Encyclopedia Ii - History Of Computing Hardware - 1950s And Early 1960s: Second Generation
The next major step in the history of computing was the invention of the transistor in 1947. This replaced the fragile and power hungry v...
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Self-determination: Encyclopedia Ii - Self-determination - History
This principle was first applied in international relations by Woodrow Wilson in his Fourteen Points; and was important in the Treaty of ...
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Hypoglycemia: Encyclopedia Ii - Hypoglycemia - Determining The Cause
Hundreds of conditions can cause hypoglycemia. Common causes by age are listed below. While many aspects of the medical history and physi...
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Self-determination: Encyclopedia Ii - Self-determination - History
This principle was first applied in international relations by Woodrow Wilson in his Fourteen Points; and was important in the Treaty of ...
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Institution Computer Science: Encyclopedia Ii - Institution Computer Science - Definition
An institution consists of
a category Sign of signatures,
a functor Set giving, for each signature Σ, the set of sentences sen(Σ), and...
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Martingale: Encyclopedia Ii - Martingale - A More General Definition
One can define a martingale which is an uncountable family of random variables. Also, those random variables may take values in a more ge...
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Stunt: Encyclopedia Ii - Stunt - Computer Generated Effects
In the late 20th century, though, stunt men were placed in dangerous situations less and less as filmmakers turned to relatively inexpens...
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To Be Determined: Encyclopedia Ii - To Be Determined - Application
These acronyms are often used in early-to-mid-stage engineering project documentation and preliminary contracts in industry. Although use...
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Diversity Of Computer Science: Encyclopedia Ii - Diversity Of Computer Science - Computer Science And Other Fields
The similarity or difference between computer science and computer engineering and software engineering is also an area of contention. Tr...
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History Of Computing Hardware: Encyclopedia Ii - History Of Computing Hardware - Second Generation -- Late 1950s And Early 1960s
The next major step in the history of computing was the invention of the transistor in 1947. This replaced the fragile and power hungry v...
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Economic Determinism: Encyclopedia Ii - Economic Determinism - Criticism Of The Concept
Other Marxists and Marx-scholars - including György Lukács, Antonio Gramsci, Louis Althusser, Maurice Godelier, Franz Jakubowski, Edwar...
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Degrees Of Freedom Physics And Chemistry: Encyclopedia Ii - Degrees Of Freedom Physics And Chemistry - A More General Definition
In statistical mechanics, a degree of freedom is a single scalar number describing the classical micro-state of a system. The micro-state...
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Article
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Encyclopedia: Encyclopedia Ii - Encyclopedia - General Definition
Four major elements define an encyclopedia: its subject matter, its scope, its method of organization, and its method of production.
Enc...
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Dictionary
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Determinates Of Supply And Demand:
Social Studies Dictionary - Determinates Of Supply And Demand
Definition and meaning of Determinates of Supply and Demand
Determinates of Supply and Demand - [Economics] Non-price determ...
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Dictionary
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Determinates Of Supply And Demand:
Social Studies Dictionary - Determinates Of Supply And Demand
Definition and meaning of Determinates of Supply and Demand
Determinates of Supply and Demand - [Economics] Non-price determ...
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Dictionary
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Determinism:
A
Christian Theological Dictionary On Determinism
A
Christian theological definition of Determinism according to CARM - The Christian
Apologetics & Research Ministry:
&quo...
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Dictionary
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Determinism:
New Age
Spirituality Dictionary On Determinism
Determinism (See Fate)
(See
also: Determinism ,
New Age Spirituality, Body Mind and Soul)
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Dictionary
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Self-determination:
American History Dictionary - Self-determination
Definition and meaning of self-determination:
self-determination As the Civil War began in 1861, southerners claimed the ri...
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Dictionary
-
Determinate Cleavage:
Oceanography Dictionary - Determinate Cleavage
Definition and meaning of determinate cleavage:
determinate cleavage - cleavage resulting in blastomeres each capable...
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Dictionary
-
Indian Self-determination Act:
American History Dictionary - Indian Self-determination Act
Definition and meaning of Indian Self-Determination Act:
Indian Self-Determination Act In 1975, responding to AIM and publi...
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Determinant: Encyclopedia Ii - Determinant - Applications
Determinants are used to characterize invertible matrices (namely as those matrices, and only those matrices, with non-zero determinants)...
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Determinant: Encyclopedia Ii - Determinant - Determinants Of 2-by-2 Matrices
The 2×2 matrix
has determinant
.
The interpretation when the matrix has real number entries is that this gives the area of the para...
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Determinant: Encyclopedia Ii - Determinant - Example
Suppose we want to compute the determinant of
We can go ahead and use the Leibniz formula directly:
Alternatively...
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Determinant: Encyclopedia Ii - Determinant - Properties
The determinant is a multiplicative map in the sense that
for all n-by-n matrices A and B.
This is generalized by the Cauchy-Binet for...
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