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Topic: Logarithmic sine

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In the News (Sun 21 Apr 19)

  Encyclopedia :: encyclopedia : Sine   (Site not responding. Last check: 2007-11-01)
In the branch of mathematics known as topology, the topologist's sine curve is a topological space with several interesting properties that make it an important textbook example.
The topologist's sine curve can be defined as the graph of the function sin(1/x) over the interval (0, 1] extended by the single point (0,0).
This is why the frequency of the sine wave appears to increase on the left side of the graph.
www.hallencyclopedia.com /Sine   (791 words)

 Synthesizer - Wikipedia, the free encyclopedia
All organs (including acoustic) are based on the principle of additive or Fourier Synthesis: Several sine tones are mixed to form a more complex waveform.
In the original Hammond organ, built in 1935, these sine waves were generated using revolving tone wheels which induced a current in an electromagnetic pick-up.
The formants of each timbre were generated as a series of sine waves, converted to fixed-point binary suitable for digital-to-analog converters, and mixed by adding and averaging.
en.wikipedia.org /wiki/Synthesizer   (5439 words)

The logarithm, therefore, of any sine is a number very neerely expressing the line which increased equally in the meene time whiles the line of the whole sine decreased proportionally into that sine, both motions being equal timed and the beginning equally shift.
The logarithm of the number 70 is 1.84510, and the logarithm of the number 700 is 2.84510.
Logarithms had reached their full potential and most of what was done after 1694 was calculating logarithms to different bases.
www.thocp.net /reference/sciences/mathematics/logarithm_hist.htm   (1934 words)

 Waves & Sound   (Site not responding. Last check: 2007-11-01)
The loudness of sounds is measured in a logarithmic scale known as "decibels", defined as ten times the exponent of 10 for the loudness value.
Suppose the train was also emitting a low-frequency audio signal in the form of a sine wave, and the blast was synchronized so that it was emitted at the beginning of each sine cycle.
The sound can be inspected either in the "frequency domain", in the form of a spectrum of simple sine waves, or in the "time domain", in the form of a messy single waveform.
www.kosmoi.com /Science/Physics/Waves   (4715 words)

 TFCBooks -- Tesla Site Glossary
In the near and intermediate zones, the field patterns are quite complicated, and the shape is, in general, a function of the radius and angular position (azimuth and elevation) in front of the antenna.
AWG) The AWG copper wire gauge is a logarithmic scale base on a wire's cross section, each 3-gauge step in size corresponding to either a doubling or halving of the area.
Various types of jamming signals include bagpipes, crypto spoofing, FSK spoofing, white noise, modulated white noise, sine wave, random tones, stepped tones, and swept tones.
www.tfcbooks.com /mainpage/glossary.htm   (12260 words)

 Jeh`s Freeware   (Site not responding. Last check: 2007-11-01)
Many standard functions such as trig, hyperbolic, logarithms, etc., are included.
The software will perform calculations involving the pythagorean theorem, sine, cosine, tangent, special triangles, regular polygons, circles, arcs, triangles, squares, rectangles, distance, slope, midpoint, Law of Sines, Law of Cosines, and rotation.
Qmath Web-site Calculator with over 25 different functions (arithmetic, trigonometric, logarithmic) and hexadecimal/decimal modes.
www.baksi.com /~jhlavac/freeware   (13691 words)

 Creativity, Thinking Skills, Critical Thinking, Problem solving, Decision making   (Site not responding. Last check: 2007-11-01)
Also, people are seldom aware of the few factors they actually are processing so tend to be overconfident in their decisionmaking ability.
Studies also show that our linear thinking tends to underestimate hazards, particularly if the hazard is increasing at a logarithmic or exponential rate as can happen on the fireline.
An example would be estimating rates of fire spread.
www.maxwell.af.mil /au/awc/awcgate/awc-thkg.htm   (7789 words)

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