Ergebnisse EINI WS 2006/07 (1. Klausur)

100925 49,5 3,7 100973 59,0 3,0 100985 88,5 1,3 101409 94,0 1,0 101437   ne 101634 90,5 1,3 101652 85,5 1,7 101661 92,5 1,3 101663 30,0 nb 101699 68,5 2,7 101764 91,5 1,3 102353 19,5 nb 102464 15,5 nb 102600 [...] EINI WS 2006/07 (1. Klausur) Ergebnisse EINI WS 2006/07 (1. Klausur) Mat.Nr. Pkte. Note 81848 52,0 3,3 89036 37,0 nb 94535   ne 94936 70,0 2,3 94942 52,0 3,3 94962 46,5 3,7 94963 83,5 1,7 94986 49,0 3,7 [...] 100614   ne 100632 51,0 3,7 100640 46,5 3,7 100641 83,0 1,7 100672 42,0 4,0 100749 55,5 3,3 100786 63,0 3,0 100802 66,0 2,7 100813 69,5 2,7 100846 89,5 1,3 100851 71,0 2,3 100880 40,0 4,0 100890   ne 100892 …

ENDE Anfang 0 0 1 0 0 C 0 0 0 1 0 D 0,5 0 0,5 0 0 F 0 0,5 0 0,5 0 G 0 0,33 0 0,33 0,33 Markoffmodell 20.06.07 Proseminar Musikinformatik SoSe 2007 8 1. Stochastisches Modell Markoffmodell 1 20.06.07 Proseminar [...] Musikinformatik SoSe 2007 9 1. Stochastisches Modell 1) Analyse von Teststücken: Auswählen von Musikstücken Eine Zustandsübergangsmatrix Markoffmodell 2) Anwendung des Ergebnisses aus 1: Durch Wahrscheinlich [...] des Problems der alg. Musikkomposition: 1. Stochastisches Modell 2. Deterministisches Modell 3. Evolutionäres Modell 20.06.07 Proseminar Musikinformatik SoSe 2007 7 1. Stochastisches Modell Übergangstabelle …

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≤ (A  Ac)(x) < 1 for A(x)  (0,1) 0 < (A  Ac)(x) ≤ ½ for A(x)  (0,1) Proof: ad a)  x  X: 1 – (1 – A(x)) = A(x). ad b)  x  X: max { A(x), 1 – A(x) } = ½ + | A(x) – ½ |  ½. Value 1 only attainable [...] elementary identities) ad a) (A  B)c(x) = 1 – min { A(x), B(x) } = max { 1 – A(x), 1 – B(x) } = Ac(x)  Bc(x) ad b) (A  B)c(x) = 1 – max { A(x), B(x) } = min { 1 – A(x), 1 – B(x) } = Ac(x)  Bc(x) q.e.d. Question [...] reduction to definitions) ad a) max { A(x), 0 } = A(x) ad b) max { A(x), 1 } = (x)  1 ad c) min { A(x), 0 } = (x)  0 ad d) min { A(x), 1 } = A(x). ■ Breakpoint: So far we know that fuzzy sets with operations …

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≤ (A  Ac)(x) < 1 for A(x)  (0,1) 0 < (A  Ac)(x) ≤ ½ for A(x)  (0,1) Proof: ad a)  x  X: 1 – (1 – A(x)) = A(x). ad b)  x  X: max { A(x), 1 – A(x) } = ½ + | A(x) – ½ |  ½. Value 1 only attainable [...] elementary identities) ad a) (A  B)c(x) = 1 – min { A(x), B(x) } = max { 1 – A(x), 1 – B(x) } = Ac(x)  Bc(x) ad b) (A  B)c(x) = 1 – max { A(x), B(x) } = min { 1 – A(x), 1 – B(x) } = Ac(x)  Bc(x) q.e.d. Question [...] reduction to definitions) ad a) max { A(x), 0 } = A(x) ad b) max { A(x), 1 } = (x)  1 ad c) min { A(x), 0 } = (x)  0 ad d) min { A(x), 1 } = A(x). ■ Breakpoint: So far we know that fuzzy sets with operations …

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≤ (A  Ac)(x) < 1 for A(x)  (0,1) 0 < (A  Ac)(x) ≤ ½ for A(x)  (0,1) Proof: ad a)  x  X: 1 – (1 – A(x)) = A(x). ad b)  x  X: max { A(x), 1 – A(x) } = ½ + | A(x) – ½ |  ½. Value 1 only attainable [...] elementary identities) ad a) (A  B)c(x) = 1 – min { A(x), B(x) } = max { 1 – A(x), 1 – B(x) } = Ac(x)  Bc(x) ad b) (A  B)c(x) = 1 – max { A(x), B(x) } = min { 1 – A(x), 1 – B(x) } = Ac(x)  Bc(x) q.e.d. Question [...] reduction to definitions) ad a) max { A(x), 0 } = A(x) ad b) max { A(x), 1 } = (x)  1 ad c) min { A(x), 0 } = (x)  0 ad d) min { A(x), 1 } = A(x). ■ Breakpoint: So far we know that fuzzy sets with operations …

Folie 1

u n d d er L än d er : D O I: 1 0 .2 1 2 4 2 /2 2 5 4 2 .2 0 1 8 .0 0 .0 0 .1 .1 .0 ; ve rs ch . J ah rg än ge ; ei g. B er ec h n u n ge n JH-Planung: 1,0 JH-Planung: 1,0 28.09.2022 | Mühlmann| Folie [...] ASD 7,5 JGH 2,0 PKD 1,5 Verwaltung 6,9 Vor- mund- schaft 2,6 Alles andere 2,7 Leitung: 1,9 ASD 12,0 JGH 1,8 PKD 2,3 Verwaltung 10,2 Vor- mund- schaft 3,7 Alles andere 6,3 Leitung: 2,1 Personalressourcen [...] Statistiken der Kinder- und Jugendhilfe – Einrichtungen und Personal; DOI: 10.21242/22542.2018.00.00.1.1.0; 2018; Zusammenstellung und Berechnung AKJStat Jugendämter nach Größenklassen und VZÄ in den Allgemeinen …

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(A ∪ Ac)(x) < 1 for A(x) ∈ (0,1) c) 0 < (A ∩ Ac)(x) ≤ ½ for A(x) ∈ (0,1) Proof: ad a) ∀ x ∈ X: 1 – (1 – A(x)) = A(x). ad b) ∀ x ∈ X: max { A(x), 1 – A(x) } = ½ + | A(x) – ½ | ≥ ½. Value 1 only attainable [...] elementary identities) ad a) (A ∩ B)c(x) = 1 – min { A(x), B(x) } = max { 1 – A(x), 1 – B(x) } = Ac(x) ∪ Bc(x) ad b) (A ∪ B)c(x) = 1 – max { A(x), B(x) } = min { 1 – A(x), 1 – B(x) } = Ac(x) ∩ Bc(x) q.e.d. Question [...] reduction to definitions) ad a) max { A(x), 0 } = A(x) ad b) max { A(x), 1 } = (x) ≡ 1 ad c) min { A(x), 0 } = (x) ≡ 0 ad d) min { A(x), 1 } = A(x). ■ Breakpoint: So far we know that fuzzy sets with operations …

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(A [ Ac)(x) < 1 for A(x) 2 (0,1) c) 0 < (A Å Ac)(x) ≤ ½ for A(x) 2 (0,1) Proof: ad a) 8 x 2 X: 1 – (1 – A(x)) = A(x). ad b) 8 x 2 X: max { A(x), 1 – A(x) } = ½ + | A(x) – ½ | ≥ ½. Value 1 only attainable [...] elementary identities) ad a) (A Å B)c(x) = 1 – min { A(x), B(x) } = max { 1 – A(x), 1 – B(x) } = Ac(x) [ Bc(x) ad b) (A [ B)c(x) = 1 – max { A(x), B(x) } = min { 1 – A(x), 1 – B(x) } = Ac(x) Å Bc(x) q.e.d. Question [...] reduction to definitions) ad a) max { A(x), 0 } = A(x) ad b) max { A(x), 1 } = U(x) ´ 1 ad c) min { A(x), 0 } = O(x) ´ 0 ad d) min { A(x), 1 } = A(x). ■ Breakpoint: So far we know that fuzzy sets with operations …

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(A ∪ Ac)(x) < 1 for A(x) ∈ (0,1) c) 0 < (A ∩ Ac)(x) ≤ ½ for A(x) ∈ (0,1) Proof: ad a) ∀ x ∈ X: 1 – (1 – A(x)) = A(x). ad b) ∀ x ∈ X: max { A(x), 1 – A(x) } = ½ + | A(x) – ½ | ≥ ½. Value 1 only attainable [...] elementary identities) ad a) (A ∩ B)c(x) = 1 – min { A(x), B(x) } = max { 1 – A(x), 1 – B(x) } = Ac(x) ∪ Bc(x) ad b) (A ∪ B)c(x) = 1 – max { A(x), B(x) } = min { 1 – A(x), 1 – B(x) } = Ac(x) ∩ Bc(x) q.e.d. Question [...] reduction to definitions) ad a) max { A(x), 0 } = A(x) ad b) max { A(x), 1 } = U(x) ≡ 1 ad c) min { A(x), 0 } = O(x) ≡ 0 ad d) min { A(x), 1 } = A(x). ■ Breakpoint: So far we know that fuzzy sets with operations …

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(A ∪ Ac)(x) < 1 for A(x) ∈ (0,1) c) 0 < (A ∩ Ac)(x) ≤ ½ for A(x) ∈ (0,1) Proof: ad a) ∀ x ∈ X: 1 – (1 – A(x)) = A(x). ad b) ∀ x ∈ X: max { A(x), 1 – A(x) } = ½ + | A(x) – ½ | ≥ ½. Value 1 only attainable [...] elementary identities) ad a) (A ∩ B)c(x) = 1 – min { A(x), B(x) } = max { 1 – A(x), 1 – B(x) } = Ac(x) ∪ Bc(x) ad b) (A ∪ B)c(x) = 1 – max { A(x), B(x) } = min { 1 – A(x), 1 – B(x) } = Ac(x) ∩ Bc(x) q.e.d. Question [...] reduction to definitions) ad a) max { A(x), 0 } = A(x) ad b) max { A(x), 1 } = U(x) ≡ 1 ad c) min { A(x), 0 } = O(x) ≡ 0 ad d) min { A(x), 1 } = A(x). ■ Breakpoint: So far we know that fuzzy sets with operations …