By Michael Inden
Dieses Buch bietet einen fundierten Einstieg in Java eight sowie einen Überblick über die umfangreichen Neuerungen in JDK eight. Damit eignet sich das Buch für all jene, die ihr Java-Wissen auffrischen und aktualisieren wollen.
Die aktuelle Java-Version enthält zahlreiche Erweiterungen. Insbesondere die Einführung von Lambdas und des Stream-APIs stellen wegweisende Entwicklungen dar, die nun neben der objektorientierten auch die funktionale Programmierung in Java ermöglichen. Jeder ambitionierte Java-Entwickler sollte sie kennen, weil sich dadurch vollkommen neue Gestaltungsmöglichkeiten ergeben.
Die Verarbeitung von Datumswerten hat eine grundlegene Überarbeitung erfahren und erleichtert die Daumsarithmetik enorm. Doch damit nicht genug:
Die GUI-Technologie JavaFX wurde um einige neue Bedienelemente sowie Dialoge und die Unterstützung für 3D erweitert und schickt sich an, Swing abzulösen. Darüber hinaus geht der Autor auf varied weitere Neuerungen ein, die JDK eight bietet.
In dieser zweiten Auflage wurden Kapitel zu Java eight im Praxiseinsatz sowie zur Migration bestehender Projekte auf das neue JDK eight ergänzt. Abgerundet wird dieses Buch durch einen Ausblick auf mögliche Funktionalitäten in JDK nine.
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Extra resources for Java 8 - Die Neuerungen Lambdas, Streams, Date and Time API und JavaFX 8 im Überblick
On the Most Imbalanced Orientation of a Graph 21 C uk−1 u1 G u0 Fig. 1. The vertices of C in G are left unchanged imbalance-wise, the other vertices − + − of C are set to 2 and in the end |d+ Λ (u0 ) − dΛ (u0 )| ≥ |dΛ (u0 ) − dΛ (u0 )| > 0 C uk−1 u1 G u v Fig. 2. The vertices of C in G are left unchanged imbalance-wise except for v which − + is set to 2, like the other vertices of C and in the end |d+ Λ (u0 ) − dΛ (u0 )| ≥ |dΛ (u0 ) − − dΛ (u0 )| > 0 . • ⇐ We will once again work by induction on the number of cycles n.
2004) who gave also approximability and inapproximability results . t Λ and thus we call minv∈V |dΛ (v) − dΛ (v)| the imbalance of Λ. Biedl et al. studied the problem of ﬁnding an acyclic orientation of unweighted graphs minimizing the imbalance of each vertex: they proved that it is solvable in polynomial time for graphs with maximum degree at most three but NP-complete generally and for bipartite graphs with maximum degree six and ara et al. closed the gap proving gave a 13 8 -approximation algorithm .
We will work by induction on the number of cycles n contained in the graph. Nothing is required for these cycles except that they must be elementary. If n = 1, then our graph is an odd cycle which implies MaxIm(G) = 0. Let n ≥ 2, we assume that all graphs of C odd with k ≤ n−1 cycles verify MaxIm(G) = 0. Let G ∈ C odd with n cycles C1 , · · · , Cn as in → − (1). Suppose there exists Λ ∈ O (G) with strictly positive imbalance. Let n−1 us call G = ∪i=1 Ci the graph obtained from G after removing Cn and let us take a look at Λ|E(G ) the orientation of the edges of G obtained from Λ as its restriction on E(G ).
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