characteristics
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11—20 of 35 matching pages
11: 28.36 Software
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§28.36(ii) Characteristic Exponents and Eigenvalues
…12: 2.9 Difference Equations
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§2.9(i) Distinct Characteristic Values
… ►where are the roots of the characteristic equation … ►§2.9(ii) Coincident Characteristic Values
…13: 21.6 Products
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►On using theta functions with characteristics, it becomes
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21.6.4
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21.6.7
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§21.6(ii) Addition Formulas
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21.6.8
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14: 28.12 Definitions and Basic Properties
15: 28.29 Definitions and Basic Properties
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§28.29(ii) Floquet’s Theorem and the Characteristic Exponent
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28.29.9
►This is the characteristic equation of (28.29.1), and is an entire function of .
Given together with the condition (28.29.6), the solutions of (28.29.9) are the characteristic
exponents of (28.29.1).
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►For a given , the characteristic equation has infinitely many roots .
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16: 3.2 Linear Algebra
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►is called the characteristic polynomial of and its zeros are the eigenvalues of .
The multiplicity of an eigenvalue is its multiplicity as a zero of the characteristic polynomial (§3.8(i)).
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►Its characteristic polynomial can be obtained from the recursion
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3.2.23
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17: 20.11 Generalizations and Analogs
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§20.11(iv) Theta Functions with Characteristics
►Multidimensional theta functions with characteristics are defined in §21.2(ii) and their properties are described in §§21.3(ii), 21.5(ii), and 21.6. …18: 21.5 Modular Transformations
19: 28.2 Definitions and Basic Properties
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►This is the characteristic equation of Mathieu’s equation (28.2.1).
…Either or is called a characteristic exponent of (28.2.1).
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