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TKTWS 2003 Die Etymologie Spektrum specere = aussehen The new theory About Light and Colour (1672) Sir Isaac Newton.

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Präsentation zum Thema: "TKTWS 2003 Die Etymologie Spektrum specere = aussehen The new theory About Light and Colour (1672) Sir Isaac Newton."—  Präsentation transkript:

1 TKTWS 2003 Die Etymologie Spektrum specere = aussehen The new theory About Light and Colour (1672) Sir Isaac Newton

2 TKTWS 2003 His claim to fame is Newtons three laws of motion, discovering the spectrum of light, inventing calculus, and discovering the universal law of gravitation. Due to his work in classical mechanics, the subject is often called Newtonian mechanics. As a child, Isaac was not viewed as a bright student by his teachers, who described him as idle and inattentive. Newton obtain a law degree from his uncle's old College. In the summer of 1665 and he was forced to return to Lincolnshire because the University closed due to the plague. It was at this time that Newtons true scientific genius would emerge. During his two year stay at home he would make revolutionary advances in mathematics, optics, physics, and astronomy. Newton invented the reflecting telescope. Newtons greatest achievements were his work in motion and celestial mechanics, which ultimately led to theory of universal gravitation. In 1705, he was the first scientist ever knighted in honor of his discoveries. Born: 1642 Died: 1727 (age 85) Education: Physicist, Mathematician First big contribution: 1665 (age 23) Biggest contribution: 1966 (age 24) Sir Isaac Newton

3 TKTWS 2003 Goethe "Das Auge hat sein Dasein dem Licht zu danken. Aus gleichgültigen tierischen Hülfsorganen ruft sich das Licht ein Organ hervor, das seines gleichen werde; und so bildet sich das Auge am Lichte fürs Licht, damit das innere Licht dem äußeren entgegentrete."

4 TKTWS 2003 Der Sinus T= 40ms T: Periode F: Frequenz F=1/T=25 Hz

5 TKTWS 2003 Die Schallwellen A=220 Hz E=165 Hz BCDEFGABCDEFGABCDE

6 TKTWS 2003 Der Zeitbereich

7 TKTWS 2003 Der Betrag in dem Zeitbereich

8 TKTWS 2003 Der Aufbau des Ohrs Trommelfell Hammer, Amboß und Steigbügel

9 TKTWS 2003 Die Gehörknöchelchen Quelle: Der Hammer Der Amboß Die Steigbügel Der Hammer nimmt die Impulse auf leitet sie über den Amboß weiter und der Steigbügel überträgt sie auf das ovale Fenster

10 TKTWS 2003 Der Aufbau des Ohrs

11 TKTWS 2003 Die Cochlea Quelle:

12 TKTWS 2003 Die geöffnete Cochlea Quelle: Die Paukentreppe Die Vorhoftreppe

13 TKTWS 2003 Die Cochlea aufgerollt Treppen NiederfrequenzenHochfrequenzen Länge: 3 cm Bei hohen Tönen wird nur der dem Mittelohr nahe Teil angeregt, bei niedrigen Tönen laufen die Wellen bis in die Spitze. Es kommt zur räumlichen Auftrennung der Tonhöhen Sinneszellen

14 TKTWS 2003 Frequenzbereich Hz

15 TKTWS 2003 Warum ist der Frequenzbereich so wichtig? 1. Charakterisierung der Signale Sprache Musik Shallwellen Elektromagnetische Wellen

16 TKTWS 2003 Warum ist der Frequenzbereich so wichtig? 2. LTI Systeme LTI ? !!! zeit

17 TKTWS 2003 Born into a prominent family, he was trained for priesthood however, Fourier turned to the life of mathematics and the military. At only sixteen years of age, Joseph became a mathematics teacher at the military school in Auxerre. When he was 27, he began working at the Ecole Normale in Paris. Three years later, in 1798, he followed Napoleon on his Eastern expedition and was given the postion of governor of Lower Egypt. In 1801, Fourier returned to France and was named prefect of Grenoble. All the knowledge in the world however, could not save him from the inevitable. Fourier died in Paris on May 16, Born: 1768 Died: 1830 (age 62) Education: Mathematician First big contribution: 1820 (age 52) Biggest contribution: 1822 (age 54) France Baron Jean Baptiste Joseph Fourier

18 TKTWS 2003 Fourier Reihe...

19 TKTWS 2003 Signal Reconstruction I 1 Komponente 6 Komponenten

20 TKTWS 2003 Signal Reconstruction II 100 Komponente Welche Bandbreite brauchen wir?

21 TKTWS 2003 Reihe Integral

22 TKTWS 2003 Filtrieren Synthetischer Generator Synthetischer Generator Gitarre Filter

23 TKTWS 2003 Rembrandt, ANATOMY LESSON OF PROFESSOR NICOLAES TULP (1632).

24 TKTWS 2003 Das Licht

25 TKTWS 2003 Das Auge

26 TKTWS 2003 Cones and Rods By population, about 64% of the cones are red-sensitive, about 32% green sensitive, and about 2% are blue sensitive.


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