ATE
发表于 2025-3-21 16:40:05
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Contend
发表于 2025-3-21 20:48:15
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污秽
发表于 2025-3-22 00:26:58
1868-0305as harmony, counterpoint, tuning), composition (e.g., classical combinatorics, dodecaphonic composition), and gestural performance. The book includes many illustrations, and exercises with solutions..978-3-319-82698-1978-3-319-42937-3Series ISSN 1868-0305 Series E-ISSN 1868-0313
等级的上升
发表于 2025-3-22 05:16:50
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Postulate
发表于 2025-3-22 12:26:39
Universal Propertiesing arrows. We also introduce exponentials and subobject classifiers. These concepts are broadly used in modern mathematics, because they describe constructions that appear everywhere in mathematical creativity.
minaret
发表于 2025-3-22 15:01:48
Recursionposed to be defined, and we use the concept for . to define the concept for .+1. Therefore, it is defined for all natural numbers .. This is the idea of recursion, namely the definition by induction. We will prove that this mathematical process is possible. We then apply recursion to create musical
minaret
发表于 2025-3-22 18:57:49
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外星人
发表于 2025-3-22 23:32:50
Real Numbersor . = .. But there are many other equations, especially dealing with approximations in music theory, that cannot be solved with Z or Q. In this chapter we apply the above philosophy to find solutions of such problems, namely the real numbers.
富足女人
发表于 2025-3-23 04:03:50
Guerino Mazzola,Maria Mannone,Yan PangBased on authors‘ experience teaching mathematics to music theorists.Presents ideas in a critical manner, highlighting problems with earlier teaching approaches.Includes many illustrations and exercis
愤慨点吧
发表于 2025-3-23 07:49:40
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