Triangle Inequality: Triangle, Mathematics, Euclidean Geometry, Real Number, Euclidean Space, Mathematical Analysis - Softcover

 
9786131140808: Triangle Inequality: Triangle, Mathematics, Euclidean Geometry, Real Number, Euclidean Space, Mathematical Analysis
Softcover
ISBN 10: 6131140804 ISBN 13: 9786131140808
Verlag: OmniScriptum, 2010

Inhaltsangabe

Please note that the content of this book primarily consists of articles available from Wikipedia or other free sources online. In mathematics, the triangle inequality states that for any triangle, the sum of the lengths of any two sides must be greater than the length of the remaining side. In Euclidean geometry and some other geometries this is a theorem. In the Euclidean case, in both the less than or equal to and greater than or equal to statements, equality occurs only if the triangle has a 180° angle and two 0° angles, as shown in the bottom example in the image to the right. The inequality can be viewed intuitively in either R2 or R3. The figure at the right shows two examples. The triangle inequality is a theorem in spaces such as the real numbers, all Euclidean spaces, the Lp spaces (p ≥ 1), and any inner product space.

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Reseña del editor

Please note that the content of this book primarily consists of articles available from Wikipedia or other free sources online. In mathematics, the triangle inequality states that for any triangle, the sum of the lengths of any two sides must be greater than the length of the remaining side. In Euclidean geometry and some other geometries this is a theorem. In the Euclidean case, in both the less than or equal to and greater than or equal to statements, equality occurs only if the triangle has a 180° angle and two 0° angles, as shown in the bottom example in the image to the right. The inequality can be viewed intuitively in either R2 or R3. The figure at the right shows two examples. The triangle inequality is a theorem in spaces such as the real numbers, all Euclidean spaces, the Lp spaces (p ≥ 1), and any inner product space.

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Verlag
OmniScriptum
Erscheinungsdatum
2010
Sprache
Englisch
ISBN 10 
6131140804
ISBN 13 
9786131140808
Einband
Tapa blanda
Anzahl der Seiten
108
Herausgeber
Surhone Lambert M., Timpledon Miriam T., Marseken Susan F.
Kontakt zum Hersteller
Nicht verfügbar
Verantwortliche Person
Nicht verfügbar