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# Topic: Sine

 Trigonometric function - Wikipedia, the free encyclopedia 1) The sine of an angle is the ratio of the length of the opposite side to the length of the hypotenuse. The sine function (blue) is closely approximated by its Taylor polynomial of degree 7 (pink) for a full cycle centered on the origin. Sine and cosine function with an implementation in Rexx. en.wikipedia.org /wiki/Sine   (3381 words)

 sine In the antiquity the sine was used as the length of a chord. Imagine a triangle, the sine formula states that the ratio of the sine of an angle and the opposite side is equal for all three angles. The inverse functions of the sine and the cosine are called the arc sine arcsin(x) and the arc cosine arccos(x), respectively. www.2dcurves.com /trig/trigs.html   (633 words)

 sine The sine is a function of an angle in a right-angled triangle found by dividing the length of the side opposite the angle by the length of the hypotenuse (the longest side). The sine of an angle is a function used in the mathematical study of the triangle. In trigonometry, a function of an angle in a right-angled triangle that is defined as the ratio of the length of the side opposite the angle to the length of the hypotenuse (the longest side). www.tiscali.co.uk /reference/encyclopaedia/hutchinson/m0006736.html   (240 words)

 Sine curve visualization tool: built with FlashMX As you drag the ball along the perimeter of the circle, a line is drawn between the point on the circle and the corresponding point on the sine curve. The range is from 0 to 360 degrees on the circle and from 0 to 2 PI on the sine curve. The circle, the ball, and the graph of the sine curve are all MovieClips. www.galaxygoo.org /math/sineCurve.html   (173 words)

 PlanetMath: complex sine and cosine The series also show that sine is an odd function and cosine an even function. The derivatives of sine function and cosine function are obtained either from the series forms or from (1): This is version 21 of complex sine and cosine, born on 2004-10-21, modified 2005-09-07. planetmath.org /encyclopedia/Sine3.html   (292 words)

 Sine wave - Wikipedia, the free encyclopedia A sine wave or sinusoid is a waveform whose graph is identical to the generalized sine function Any non-sinusoidal waveforms, such as square waves or even the irregular sound waves made by human speech, are actually a collection of sinusoidal waves of different periods and frequencies blended together. The human ear can recognize single sine waves because they sound "clean" or "clear" to us; some sounds that approximate a pure sine wave are whistling, a crystal glass set to vibrate by running a wet finger around its rim, and the sound made by a tuning fork. en.wikipedia.org /wiki/Sine_wave   (288 words)

 Sines   (Site not responding. Last check: 2007-10-22) Thus, the sine BC of angle BAD is half the chord BE of angle BAE, while the angle BAE is twice the angle BAD. Therefore, as stated before, the sine of an angle is half the chord of twice the angle. This word history for "sine" is interesting because it follows the path of trigonometry from India, through the Arabic language from Baghdad through Spain, into western Europe in the Latin language, and then to modern languages such as English. aleph0.clarku.edu /~djoyce/java/trig/sines.html   (992 words)

 SINE's Frequently Asked Questions   (Site not responding. Last check: 2007-10-22) SINE co-ordinates the provision of LMI in the North East region. SINE was created to fulfil the need for regional policy makers to have access to accurate, timely and consistent LMI to inform key regional strategies. SINE's mission is to become the premier provider of LMI in the North East region. www.skillsine.co.uk /faq.html   (162 words)

 ROOT OF SINE A sine wave is waveform of a single constant frequency and amplitude that continues for all time. The sine wave is the embodiment of audio-purity and strength as it presents an unchanging tonal quality. An in-depth discussion on theoretical aspects of the sine wave can be found in the "Handbook for Acoustic Ecology" edited by Barry Truax (1999). www.audiobulb.com /ab-projects.htm   (296 words)

 [No title]   (Site not responding. Last check: 2007-10-22) The maximum to minimum value of the graph on the y axis is known as the amplitude of the wave. It is clear that when we make b smaller, we shrink the distance between the positive peaks of the sine wave, and when we increase the value of b the distance between the peaks gets greater. The harmonics of a particular sine wave at a certain frequency are sine waves whose frequencies vary from that of the particular sine wave by whole multiples and whose amplitudes are less. jwilson.coe.uga.edu /emt669/Student.Folders/Godfrey.Paul/up/1.html   (1143 words)

 Sine Waves A particularly simple kind of wave, the sine wave, is illustrated in figure 1.2. The crest and the trough of a wave are the locations of the maximum and minimum displacements, as seen in figure 1.2. The argument of the sine function is by definition an angle. www.physics.nmt.edu /~raymond/classes/ph13xbook/node5.html   (423 words)

 THE SINE FUNCTION   (Site not responding. Last check: 2007-10-22) THE SINE FUNCTION Ronald G. Sienkiewicz Prosser Vocational High School Chicago, IL 60639 1-312-637-5556 Objectives: To familiarize the students with the concept of the sine function by defining, by graphing, by computer generating, by using a "shop created" flboard sine wave generator, and by presenting examples of natural phenomena which result in sine wave motion. Writing an equation on the chalkboard and asking the students to predict its graph, I was able to quickly and efficiently run through several variations of the sine function without the tediousness of using the chalkboard. The significant idea here, being that this type of motion (the movement of a pendulum and the motion of a mass at the end of a spring-natural phenomena) will always be mathematically expressed in terms of sines and cosines. www.iit.edu /~smile/ma8610.html   (379 words)

 Sine Waves and Sound These sine waves can be played at the same time to recreate the original sound. The number after the Hz number is the amplitude of the sine wave. Sine waves were generated by that great sound editor Cool Edit. www.mindspring.com /~scottr/zmusic   (670 words)

 Sine_Wave   (Site not responding. Last check: 2007-10-22) may be analyzed as the sum of a series of sine waves with frequencies in a Since a sine wave has only a single frequency associated with it, it may be considered the simplest sound. s of a sine wave showing the amplitude of the pressure variation. www.sfu.ca /sonic-studio/handbook/Sine_Wave.html   (72 words)

 Sine Waver This "height" of a point on a unit circle is known as the sine of the angle determined by that point (from the center of the circle). It therefore represents the sine of X (because it falls on the red line) at a given moment in time (because it falls on the blue line). The resulting curve is the sine wave, which plots the height of a point moving around the unit circle as a function of time. mathforum.org /dynamic/java_gsp/sinewaver.html   (487 words)

 Sine/Cosine wave oscillator   (Site not responding. Last check: 2007-10-22) I introduce the oscillator which outputs the Sine wave and the Cosine wave at the same time using the operational amplifier. The 90 degree phase is shifted about the sine wave and the cosine wave. The sine wave is the signal to be 90 degree delayed from the cosine wave. www.interq.or.jp /japan/se-inoue/e_ckt20.htm   (122 words)

 SINE : Society for Innovation and Entrepreneurship, IIT Bombay SINE, Society for Innovation and Entrepreneurship, hosted by Indian Institute of Technology Bombay- IIT Bombay is an umbrella for promotion of entrepreneurship at IIT Bombay. SINE will create an ecosystem that will foster and support innovation and knowledge based entrepreneurship amongst the IIT Bombay community leading to the creation of wealth and social value through successful ventures. SINE is a Society registered under Societies Registration Act of 1860. www.sineiitb.org   (381 words)

 The A-B-C's of the Sine Curve The period of the sine curve y = sin(x) is The period of the sine curve y = sin Bx is This is because the number B stretches or shrinks the curve in the x direction. math.la.asu.edu /~walker/mat170/homework/sine_curves.htm   (553 words)

 About Amphenol Sine Systems   (Site not responding. Last check: 2007-10-22) In 1970, General Motors was the first to grant Sine approval to produce electrical interconnect assemblies for their industrial controls and machine tools - Sine was well on its way to becoming a force to be reckoned with in cable and connector circles. During the 1980's, Sine's sales, employee numbers and square footage continued to grow and a new organization called The Sine Electro-Mold company would be established to focus on the pour urethane and injection molding services many of Sine's customers required. Amphenol began preliminary negotiations in early of 1996 concluding that the acquisition of Sine would be the ideal strategy with which to expand their share of the interconnect and cable assembly market. www.sineco.com /aboutus.html   (558 words)

 Sine Wave Modulation Synthesis for Programmers The smallest building block of any sound in the real world is the Sine wave, and according to Fourier theory, all sounds are constructed from a multitude of sine waves at differing frequencies and amplitudes. Harmonic sounds generally consist of sine waves which are multiples of each other, while noises or inharmonic sounds consist of sine waves at inharmonic frequencies. Of course with this new Feedback Sine Wave you could obtain better results with additive synthesis too, but this is not enough because you still require a lot of waveforms to achieve complex sounds. www.geocities.com /SiliconValley/Campus/8645/synth.html   (2764 words)

 Sine qua non - Wikipedia, the free encyclopedia Sine qua non or conditio sine qua non and similarly related Post hoc ergo propter hoc was originally a Latin legal term for "without which it could not be" ("but for"). Wilson's careless act, Dennis would not be driving the car. Wilson's act was the conditio sine qua non of Margaret's injury. en.wikipedia.org /wiki/Sine_qua_non   (159 words)

 waveform - a Whatis.com definition - see also: sine wave The most familiar AC waveform is the sine wave, which derives its name from the fact that the current or voltage varies with the sine of the elapsed time. The sine wave is unique in that it represents energy entirely concentrated at a single frequency. Household utility current has a sine waveform with a frequency of 60 Hz in most countries including the United States, although in some countries it is 50 Hz. whatis.techtarget.com /definition/0,,sid9_gci213731,00.html   (225 words)

 Forums - Mesa Sine Wave   (Site not responding. Last check: 2007-10-22) Developed by John Elhers, the Mesa Sine Wave utilizes two sine plots to illustrate if the market is a cycle mode or in a trend mode. One useful attribute of the MESA Sine Wave indicator is that it will anticipate cycle mode turning points rather than waiting for confirmation as is seen with most other oscillators. When the lead sine widens from the mesa sine the market is usually trending but quite often it is too late to act unless you are using something else to determine entry and exit. www.elitetrader.com /vb/showthread.php?threadid=28234   (745 words)

 Mastervolt products > sine wave inverters   (Site not responding. Last check: 2007-10-22) Until now, however, the results were less than perfect as most inverters could only produce an output voltage that was not sine wave formed and the efficiency of the products were low. The Mass Sine range is fitted with an energy-efficient circuit which maintains a high output with partial loads and almost switches off in the standby (or search) wait mode, thus using up virtually no energy from the battery but still supplying AC power. Efficiency graph from a 500W Mastervolt sine wave inverter: a high efficiency mode is already achieved with a relatively low load. www.mastervolt.com /inverter/index.asp   (996 words)

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