The seasons of Zarathustra and their correspondence to the metamorphoses of the spirit

Nietzsche employed metaphors frequently throughout his works. This is especially true in Thus Spoke Zarathustra. Although this is often aesthetically pleasing, it can be very difficult for the reader to understand the nuances and interconnections with the various metaphors. This is generally considered one of the main drawbacks of Thus Spoke Zarathustra. While it is beautifully written in a style that is incomparable today, much of what it is attempting to communicate is lost on the reader. This thesis explores the connection between the metamorphoses of the spirit and the seasons in Thus'Spoke Zarathustra, with the camel spirit corresponding to autumn, the lion spirit with winter, the child spirit with spring, and finally the Overman with summer. Although the Overman is not included among the three metamorphoses of the spirit, it will be argued that the Overman is a separate metamorphosis and must not be conflated with the child spirit despite their similarities. While Thus Spoke Zarathustra will be the primary text used, Nietzsche's other works will be employed to demonstrate that this connection between the metamorphoses of the spirit and the seasons runs through much of his thought. By demonstrating how the seasons are used in Thus Spoke Zarathustra, a deeper understanding of the work will be revealed. Further, this thesis will demonstrate that it is an intentional connection, and not merely coincidental or something that has been constructed and imposed upon the work. Bringing this correspondence between the metamorphoses of the spirit and the seasons to light will result in the need to rethink particular notions of Nietzsche's philosophy. The most apparent involves the Overman and the process of overcoming. Although the Overman has often been viewed as "the end" in the cycle of metamorphoses, it will be argued that this is not the case. The typical interpretation of the metamorphoses of the spirit regard it as a linear progression; however, it will be shown that the metamorphoses of the spirit is cyclical with the camel, lion, and child spirits endlessly repeating, much like the seasons.

Properties and algorithms of the hyper-star graph and its related graphs

The hyper-star interconnection network was proposed in 2002 to overcome the drawbacks of the hypercube and its variations concerning the network cost, which is defined by the product of the degree and the diameter. Some properties of the graph such as connectivity, symmetry properties, embedding properties have been studied by other researchers, routing and broadcasting algorithms have also been designed. This thesis studies the hyper-star graph from both the topological and algorithmic point of view. For the topological properties, we try to establish relationships between hyper-star graphs with other known graphs. We also give a formal equation for the surface area of the graph. Another topological property we are interested in is the Hamiltonicity problem of this graph. For the algorithms, we design an all-port broadcasting algorithm and a single-port neighbourhood broadcasting algorithm for the regular form of the hyper-star graphs. These algorithms are both optimal time-wise. Furthermore, we prove that the folded hyper-star, a variation of the hyper-star, to be maixmally fault-tolerant.