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determinant | A Wisdom Archive on determinant |  | determinant A selection of articles related to determinant |  |
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determinant, Determinant, Determinant - Algorithmic implementation, Determinant - Applications, Determinant - Determinants of 2-by-2 matrices, Determinant - Example, Determinant - General definition and computation, Determinant - Generalizations and related functions, Determinant - History, Determinant - Properties, Determinant - Derivative
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ARTICLES RELATED TO determinant | |
 |  |  | determinant: 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 as mutually exclusive, whereas others, labelled "Compatibilists", believe that the two ideas can be coherently reconciled. Most of this disagreement is due to the fact that the definition of "free will," like determinism, varies. Some feel it refers to the metaphysical truth of independent agency, whereas others simply define it as the feeling of agency that humans experience when they act. For example, Da ...
See also:Determinism, Determinism - Philosophy of determinism, Determinism - The nature of determinism, Determinism - Determinism in Western tradition, Determinism - Determinism in Eastern tradition, Determinism - Arguments against determinism, Determinism - Argument from morality, Determinism - Determinism quantum mechanics and classical physics, Determinism - First cause, Determinism - A multi-deterministic position, Determinism - Modern perspectives on determinism, Determinism - Scientific determinism and first cause, Determinism - Determinism and generative processes Read more here: » Determinism: Encyclopedia II - Determinism - The nature of determinism |
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 |  |  | determinant: Encyclopedia II - Determinism - Arguments against determinism
Determinism - Argument from morality.
Some critics of determinism argue that if people are assumed incapable of independent choice (free will) there can then be no rational basis for morality, and therefore some aspects of criminal and civil jurisprudence and legislation appear irrational and unjust. How, they ask, can one be punished for an involuntary action? In order to maintain the integrity of social institutions that rely in part upon holding people responsible for their actions, it becomes necessary in their eyes to deny determinism, at least as fa ...
See also:Determinism, Determinism - Philosophy of determinism, Determinism - The nature of determinism, Determinism - Determinism in Western tradition, Determinism - Determinism in Eastern tradition, Determinism - Arguments against determinism, Determinism - Argument from morality, Determinism - Determinism quantum mechanics and classical physics, Determinism - First cause, Determinism - A multi-deterministic position, Determinism - Modern perspectives on determinism, Determinism - Scientific determinism and first cause, Determinism - Determinism and generative processes Read more here: » Determinism: Encyclopedia II - Determinism - Arguments against determinism |
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 |  |  | determinant: Encyclopedia II - Determinism - The nature of determinismThe exact meaning of the term "determinism" has historically been subject to various interpretations. Some view determinism and free will as mutually exclusive, whereas others, labelled "Compatibilists", believe that the two ideas can be coherently reconciled. Most of this disagreement is due to the fact that the definition of "free will," like determinism, varies. Some feel it refers to the metaphysical truth of independent agency, whereas others simply define it as the feeling of agency that humans experience when they act. For example, Da ...
See also:Determinism, Determinism - Philosophy of determinism, Determinism - The nature of determinism, Determinism - Determinism in Western tradition, Determinism - Determinism in Eastern tradition, Determinism - A multi-deterministic position, Determinism - Modern perspectives on determinism, Determinism - Scientific determinism and first cause, Determinism - Determinism and generative processes, Determinism - Arguments against determinism, Determinism - Argument from morality, Determinism - Determinism quantum mechanics and classical physics, Determinism - First cause Read more here: » Determinism: Encyclopedia II - Determinism - The nature of determinism |
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 |  |  | determinant: Encyclopedia II - Determinism - Arguments against determinism
Determinism - Argument from morality.
Some critics of determinism argue that if people are assumed incapable of independent choice (free will) there can then be no rational basis for morality, and therefore some aspects of criminal and civil jurisprudence and legislation appear irrational and unjust. How, they ask, can one be punished for an involuntary action? In order to maintain the integrity of social institutions that rely in part upon holding people responsible for their actions, it becomes necessary in their eyes to deny determinism, at least as fa ...
See also:Determinism, Determinism - Philosophy of determinism, Determinism - The nature of determinism, Determinism - Determinism in Western tradition, Determinism - Determinism in Eastern tradition, Determinism - A multi-deterministic position, Determinism - Modern perspectives on determinism, Determinism - Scientific determinism and first cause, Determinism - Determinism and generative processes, Determinism - Arguments against determinism, Determinism - Argument from morality, Determinism - Determinism quantum mechanics and classical physics, Determinism - First cause Read more here: » Determinism: Encyclopedia II - Determinism - Arguments against determinism |
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 |  |  | determinant: Encyclopedia II - Determinant - Determinants of 2-by-2 matricesThe 2×2 matrix
has determinant
.
The interpretation when the matrix has real number entries is that this gives the area of the parallelogram with vertices at (0,0), (a,c), (b,d), and (a + b, c + d), with a sign factor (which is −1 if A as a transformation matrix flips the unit square o ...
See also:Determinant, Determinant - Determinants of 2-by-2 matrices, Determinant - Applications, Determinant - General definition and computation, Determinant - Example, Determinant - Properties, Determinant - Derivative, Determinant - Generalizations and related functions, Determinant - Algorithmic implementation, Determinant - History Read more here: » Determinant: Encyclopedia II - Determinant - Determinants of 2-by-2 matrices |
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 |  |  | determinant: Encyclopedia II - Determinism - Modern perspectives on determinism
Determinism - Scientific determinism and first cause.
Since the early twentieth century when astronomer Edwin Hubble first hypothesized that red shift shows the universe is expanding, prevailing scientific opinion has been that the universe started with a Big Bang, and therefore has a finite age. Different astrophysicists hold different views about precisely how the universe originated (Cosmogony), but a consistent viewpoint is that scientific determinism has held at the macroscopic level since the universe came into being.
See also:Determinism, Determinism - Philosophy of determinism, Determinism - The nature of determinism, Determinism - Determinism in Western tradition, Determinism - Determinism in Eastern tradition, Determinism - Arguments against determinism, Determinism - Argument from morality, Determinism - Determinism quantum mechanics and classical physics, Determinism - First cause, Determinism - A multi-deterministic position, Determinism - Modern perspectives on determinism, Determinism - Scientific determinism and first cause, Determinism - Determinism and generative processes Read more here: » Determinism: Encyclopedia II - Determinism - Modern perspectives on determinism |
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 |  |  | determinant: Encyclopedia II - Determinism - Modern perspectives on determinism
Determinism - Scientific determinism and first cause.
Since the early twentieth century when astronomer Edwin Hubble first hypothesized that red shift shows the universe is expanding, prevailing scientific opinion has been that the universe started with a Big Bang, and therefore has a finite age. Different astrophysicists hold different views about precisely how the universe originated (Cosmogony), but a consistent viewpoint is that scientific determinism has held at the macroscopic level since the universe came into being.
See also:Determinism, Determinism - Philosophy of determinism, Determinism - The nature of determinism, Determinism - Determinism in Western tradition, Determinism - Determinism in Eastern tradition, Determinism - A multi-deterministic position, Determinism - Modern perspectives on determinism, Determinism - Scientific determinism and first cause, Determinism - Determinism and generative processes, Determinism - Arguments against determinism, Determinism - Argument from morality, Determinism - Determinism quantum mechanics and classical physics, Determinism - First cause Read more here: » Determinism: Encyclopedia II - Determinism - Modern perspectives on determinism |
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 |  |  | determinant: Encyclopedia II - Spanish determiners - Demonstrative determinersSpanish has three levels of demonstrative pronouns (see deixis):
Closest to the speaker (proximal): este, esta, estos, estas
Closest to the hearer (distal): ese, esa, esos, esas
Far from both (distal): aquel, aquella, aquellos, aquellas
English also used to have a three-way system like this: "this hill (here)", "that hill (there)" or "yon hill (yonder)" — in Spanish, "esta colina", "esa colina", "aquella colina". English lost the third level, so ...
See also:Spanish determiners, Spanish determiners - Demonstrative determiners, Spanish determiners - Articles, Spanish determiners - Definite articles, Spanish determiners - Indefinite articles, Spanish determiners - Possessive determiners, Spanish determiners - Combining demonstratives and possessives, Spanish determiners - Miscellaneous determiners Read more here: » Spanish determiners: Encyclopedia II - Spanish determiners - Demonstrative determiners |
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 |  |  | determinant: Encyclopedia II - Determinant - ApplicationsDeterminants are used to characterize invertible matrices (namely as those matrices, and only those matrices, with non-zero determinants), and to explicitly describe the solution to a system of linear equations with Cramer's rule. They can be used to find the eigenvalues of the matrix A through the characteristic polynomial
where I is the ide ...
See also:Determinant, Determinant - Determinants of 2-by-2 matrices, Determinant - Applications, Determinant - General definition and computation, Determinant - Example, Determinant - Properties, Determinant - Derivative, Determinant - Generalizations and related functions, Determinant - Algorithmic implementation, Determinant - History Read more here: » Determinant: Encyclopedia II - Determinant - Applications |
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 |  |  | determinant: Encyclopedia II - Determinant - General definition and computationSuppose 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 complicated:
For a general n-by-n matrix, the determinant was defined by Gottfried Leibniz with wha ...
See also:Determinant, Determinant - Determinants of 2-by-2 matrices, Determinant - Applications, Determinant - General definition and computation, Determinant - Example, Determinant - Properties, Determinant - Derivative, Determinant - Generalizations and related functions, Determinant - Algorithmic implementation, Determinant - History Read more here: » Determinant: Encyclopedia II - Determinant - General definition and computation |
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