Download Geometry in Nature by Vagn Lundsgaard Hansen PDF
By Vagn Lundsgaard Hansen
1. Geometric types in Nature. 1. Spirals and the glorious Snail. 2. The Helix and the Twining Vine. three. The Geometry of cleaning soap movies. four. The Geometry of Tiled Surfaces. five. The general Polyhedra
2. The Topology of Surfaces. 1. a few general Surfaces. 2. The Projective aircraft and the Klein Bottle. three. what's a Closed floor? four. Orientable and Non-Orientable Surfaces. five. attached Sum of Closed Surfaces. 6. class of Closed Surfaces. 7. Higher-Dimensional Manifolds and Poincare's Conjecture
three. The Topology of Catastrophes. 1. The beginning of disaster thought. 2. Singularities: Mappings of the airplane into the aircraft. three. The Fold disaster. four. The Cusp disaster. five. Thom's Theorem for structures with keep watch over Variables and One kingdom Variable. 6. a few functions of the Cusp disaster. 7. the maths in the back of the types of disaster idea. eight. The Seven user-friendly Catastrophes in Space-Time. nine. a few normal feedback pertaining to Applications.
four. Geometry and the actual global. 1. On arithmetic and Its Greek Legacy. 2. Greek Astronomy and the Ptolemaic procedure. three. The Copernican international, Tycho Brahe and Kepler. four. The step forward of recent average technology. five. Newton and Gravitation
five. Geometry and glossy Physics. 1. Maxwell and the Electromagnetic idea. 2. Einstein's idea of Relativity. three. Minkowski Space-Time and the detailed thought of Relativity. four. Curvature and Gravitation: the final thought of Relativity. five. The Physics of ordinary debris. 6. Fiber Bundles and Parallel Displacement in Fiber Bundles. 7. Gauge Theories and String Theories.
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Unser System muG demnach aus Binde- und Adaptor-Proteinen zusammengesetzt sein, die letzten Endes eine enzymatische Reaktion katalysieren, durch die die T aumelfrequenz eingestellt wird. Bei dies em T aumelschalter allerdings konnen wir noch nicht auf molekulare Strukturen hinweisen, sondern folgen der Hypothese, die von D. E. KOSHLAND aufgestellt wurde [32]. Er diskutiert, daG die Taumelfrequenz durch die Konzentration an einem Regulatorstoff, wohl wiederum einem modulierbaren Protein, gesteuert wird.
L. HAzELBAUER & J. ADLER, Nature (NB) 230 (1971) 101 - b: T. J. SILHAVY, W. Boos & H. M. KALCKAR, in: Biochemistry of Sensory Funktions (ed. L. JAENICKE), Springer-Verlag, Berlin - Heidelberg - New York 1974, p. 165 - c: S. CLARKE & D. E. KOSHLAND, J. bio!. Chern. 254 (1979) 9695 -d: M. L. ADLER, J. Bact. 144 (1980) 1048. W. Boos, Annu. Rev. Biochem. 43 (1974) 123. a: W. W. Tso &J. ADLER, J. Bact. 118 (1974) 560 - b: G. W. ADLER,J. Bact. 117 (1974) 517 - c: P. G. STRANGE & D. E. , Proc. ' Acad.
Ich habe zweimal davon gesprochen: Bei den anisogamen und bei den oogamen Formen haben wir nicht nur graGere, sondem auch weniger weibliche Gameten, die eben deshalb gefunden werden mussen von den in groGer Zahl produzierten Mannchen. Aber sie sind halt so rar, daG sie sich im ganzen Milieu verstecken und sich durch Lockstoff bemerkbar machen mussen. Wenn wir groGe Frauen haben, dann haben wir weniger davon, aber die Summe der Weiblichkeit ist ungefahr so groG wie die Sum me der Mannlichkeitwie auch beim Menschen.