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Sprache: Englisch
Verlag: Creative Media Partners, LLC Mai 2025, 2025
ISBN 10: 1023641240 ISBN 13: 9781023641241
Anbieter: AHA-BUCH GmbH, Einbeck, Deutschland
Taschenbuch. Zustand: Neu. Neuware - 'The Theory of Permutable Functions,' by Vito Volterra, presents a detailed exploration of permutable functions and their applications. Originally published in 1915, this work delves into the mathematical analysis of functions that exhibit the property of permutability under certain operations. Volterra's exposition covers the fundamental principles and advanced concepts related to integral equations and functional analysis.
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Sprache: Englisch
Verlag: Creative Media Partners, LLC Mai 2025, 2025
ISBN 10: 1023637014 ISBN 13: 9781023637015
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Buch. Zustand: Neu. Neuware - 'The Theory of Permutable Functions,' by Vito Volterra, presents a detailed exploration of permutable functions and their applications. Originally published in 1915, this work delves into the mathematical analysis of functions that exhibit the property of permutability under certain operations. Volterra's exposition covers the fundamental principles and advanced concepts related to integral equations and functional analysis.
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In den WarenkorbZustand: Hervorragend. Zustand: Hervorragend | Sprache: Englisch | Produktart: Bücher | A fundamental property of permutability is expressed in the following theorem: Two functions permutable with a third are permutable with each other. A group of permutable functions is characterized by a function of the first order of which the first and second partial derivatives exist and are finite. Consequently when we consider a group of permutable functions, we shall always assume that there is known to us a function of the first order which has finite derivatives of the first and second orders and belongs to the group. This function shall be spoken of as the fundamental function of the group. When a fundamental function of the group has the canonical form, we shall speak of the group as a canonical group.A remarkable group of permutable functions is the so-called closed-cycle group, which is made up of functions of the formf(y-x).Unity belongs to this group, and it is deduced immediately.
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In den WarenkorbZustand: Sehr gut. Zustand: Sehr gut | Sprache: Englisch | Produktart: Bücher | A fundamental property of permutability is expressed in the following theorem: Two functions permutable with a third are permutable with each other. A group of permutable functions is characterized by a function of the first order of which the first and second partial derivatives exist and are finite. Consequently when we consider a group of permutable functions, we shall always assume that there is known to us a function of the first order which has finite derivatives of the first and second orders and belongs to the group. This function shall be spoken of as the fundamental function of the group. When a fundamental function of the group has the canonical form, we shall speak of the group as a canonical group.A remarkable group of permutable functions is the so-called closed-cycle group, which is made up of functions of the formf(y-x).Unity belongs to this group, and it is deduced immediately.