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# Topic: Cosine

###### In the News (Mon 17 Jun 19)

 cosine: Home cosine is a contract research company devoted to developing solutions for problems with a high scientific and technological profile. The company is active in the study of advanced instruments, the development of data analysis systems and simulators, the design of optical systems, and it provides its customers with project management services for information technology and research projects. cosine has its own laboratory and clean room facilities, and with a keen staff of physicists and engineers, it is able to carry out research programs for its clients to find solutions to present-day scientific and technological challenges. www.cosine.nl   (109 words)

 The Law of Cosines The Law of Cosines (interchangeably known as the Cosine Rule or Cosine Law) is a generalization of the Pythagorean Theorem in that a formulation of the latter can be obtained from a formulation of the Law of Cosines as a particular case. Thus, in the course of the proof of the Cosine Rule one proves directly the Pythagorean Theorem. There is, as well, an "unfolded variant." Also, the Cosines Law admits a slightly different form discovered by Larry Hoehn that generalizes the Pythagorean theorem in a somewhat different way. www.cut-the-knot.org /pythagoras/cosine.shtml   (547 words)

 Law of cosines Summary The cosine is positive for angles terminating in the first and fourth quadrants and negative for angles terminating in the second and third quadrants. Because cosine is a periodic (repeating) function with a period of 2, the cosine of any angle equals the cosine of the sum of that angle with any multiple of 360°. In trigonometry, the law of cosines (also known as the cosine formula or cosine rule) is a statement about a general triangle which relates the lengths of its sides to the cosine of one of its angles. www.bookrags.com /Law_of_cosines   (2606 words)

 Highbeam Encyclopedia - Search Results for cosine cosine In trigonometry, ratio of the length of the side adjacent to an acute angle to the length of the hypotenuse in a right-angled triangle. The cosine of angle A is usually abbreviated cos A. The secant of angle A is usually abbreviated to sec A, and is equal to the reciprocal of its cosine. www.encyclopedia.com /searchpool.asp?target=cosine   (774 words)

 cosine - Search Results - MSN Encarta Cosine, one of the six fundamental ratios of trigonometry: cosine, sine, secant, cosecant, tangent, and cotangent. Arc Cosine, in trigonometry, the inverse of the cosine function. If the cosine of x equals y, for example, then the arc cosine of y equals x. ca.encarta.msn.com /cosine.html   (141 words)

 Urban Dictionary: cosine Cosine thus represents the ratio of the Adjacent side length to the Hypotenuse side length -- this is all in relation to an (acute) angle, theta. When dealing with an angle measurement, x ("theta"), the side "touching" the angle is referred to as the Adjacent side; the side furthest away from the angle is referred to as the Opposite side; and, in a right triangle, the hypotenuse always remains and, simplistically, may be recognized as the diagonal side. In mathematical procedures, cosine is abbreviated as "cos" for convenience. www.urbandictionary.com /define.php?term=cosine   (366 words)

 PlanetMath: Fourier sine and cosine series   (Site not responding. Last check: ) Thus the Fourier series of an even function contains mere cosine terms and of an odd function mere sine terms. both to a cosine series and to a sine series, irrespective of how it is defined for the negative half-interval or is it defined here at all. This is version 17 of Fourier sine and cosine series, born on 2006-02-23, modified 2007-01-13. planetmath.org /encyclopedia/FourierSineAndCosineSeries.html   (256 words)

 Cosine The unit circle is assigned with the angle alpha in the center of the x-coordinate from the intersection S on the circle as the cosine. This means that in the unit circle, the adjacent of alpha is equal to the cosine of alpha. The cosine curve is an odd function that is symmetric to the y-axis and that repeats itself after 360 degrees (Periodically). www.math-knowledge.com /cosine.htm   (178 words)

 Introduction - COSINE COSINE is a Specific Support Action whose goal is to enhance the impact of European RTD strategies in the area of Embedded Systems. COSINE will offer assistance to strategically developing and fine-tuning programmes for countries which are currently designing (or re-designing) initiatives in this area. COSINE accompanied bilateral co-operations between Finland and France, Sweden and Israel. www.cosine-ist.org   (120 words)

 cosine - Search Results - MSN Encarta Cosine, one of the six fundamental ratios of trigonometry: cosine, sine, secant, cosecant, tangent, and cotangent. Arc Cosine, in trigonometry, the inverse of the cosine function. If the cosine of x equals y, for example, then the arc cosine of y equals x. encarta.msn.com /cosine.html   (156 words)

 Cosine Similarity and Term Weight Tutorial   (Site not responding. Last check: ) The cosine angle between A and B. As the angle between the vectors shortens, the cosine angle approaches 1, meaning that the two vectors are getting closer, meaning that the similarity of whatever is represented by the vectors increases. In classic vector models cosine normalization is used to force the magnitude of the weighted document vector and to allow one to compare the angle between the weighted vectors. Regarding the angle described by the vectors, the cosine angle is a measure of similarity. www.miislita.com /information-retrieval-tutorial/cosine-similarity-tutorial.html   (3089 words)

 cosine This year we are excited to feature Guest of Honor Mike Resnick. COSine will be held at the Best Western Academy Hotel, 8110 N Academy Blvd. Colorado Springs, CO 80920. COSine flyer and the registration form for the second side. www.firstfridayfandom.org /cosine   (231 words)

 CoSine Communications-CoSine IPSX9000 CoSine Communications introduced a carrier-class platform designed to scale the deployment of Virtual Private Networks (VPNs) and other IP services to thousands of subscriber networks quickly and reliably over public facilities. CoSine delivers an architecture that manages all of the distributed devices and manages the overall provisioning, maintenance and accounting of the service. CoSine allows Service Providers to support a portfolio of VPN and other IP services, deliver them fast and cost effectively to large subscriber populations and provide a built-in upgrade path for continued service enhancement as demand warrants and new applications evolve. www.omg.org /corba/vendors/pages/cosine.html   (416 words)

 Fourier Cosine Series There are three distinct versions of the Fourier series in common use, the "full" Fourier series, the Fourier sine series, and the Fourier cosine series. They are based on slightly different choices of an orthogonal basis set, whether (2.6) for the Fourier sine series, (2.7) for the Fourier cosine series, or (2.8) for the full Fourier series. Notice that the cosines are not only even under reflection about 0, but also about the other end of the interval, x=L. Fourier sine series are better suited for odd functions. www.mathphysics.com /pde/cosine.html   (724 words)

 CoSine Communications-CoSine IPSX9000 CoSine Communications introduced a carrier-class platform designed to scale the deployment of Virtual Private Networks (VPNs) and other IP services to thousands of subscriber networks quickly and reliably over public facilities. CoSine delivers an architecture that manages all of the distributed devices and manages the overall provisioning, maintenance and accounting of the service. CoSine allows Service Providers to support a portfolio of VPN and other IP services, deliver them fast and cost effectively to large subscriber populations and provide a built-in upgrade path for continued service enhancement as demand warrants and new applications evolve. www.corba.org /vendors/pages/cosine.html   (416 words)

 Raised Cosine Filters by Nuhertz Technologies When the pass band frequency of a raised cosine filter is set to half the data rate, then the impulse response Nyquist's first criteria is satisfied in that the impulse response is zero for T = NTs, where N is an integer, and T is the data period. The ideal root raised cosine filter, frequency response consists of unity gain at low frequencies, the square root of raised cosine function in the middle, and total attenuation at thigh frequencies. The root raised cosine filter is generally used in series pairs, so that the total filtering effect is that of a raised cosine filter. www.filter-solutions.com /raised.html   (745 words)

 Fourier Cosine Series   (Site not responding. Last check: ) There are three distinct versions of the Fourier series in common use, the "full" Fourier series, the Fourier sine series, and the Fourier cosine series. They are based on slightly different choices of an orthogonal basis set, whether (2.6) for the Fourier sine series, (2.7) for the Fourier cosine series, or (2.8) for the full Fourier series. Notice that the cosines are not only even under reflection about 0, but also about the other end of the interval, x=L. Fourier sine series are better suited for odd functions. www.math.gatech.edu /~harrell/pde/cosine.html   (724 words)

 Cosine The unit circle is assigned with the angle alpha in the center of the x-coordinate from the intersection S on the circle as the cosine. This means that in the unit circle, the adjacent of alpha is equal to the cosine of alpha. The cosine curve is an odd function that is symmetric to the y-axis and that repeats itself after 360 degrees (Periodically). www.mathematik-wissen.de /us/cosine.htm   (178 words)

 "Linkwitz Cosine Burst Generator" The resistor values at the 4066 outputs are selected to provide the cosine envelope, feeding the virtual earth mixer stage that provides the output. There may be a small benefit in gating the microphone preamp to exclude room reflections, but great care is needed to ensure that the gating circuit can be adjusted to accommodate the measurement distances used, remembering that sound travels at 345m/s, so measurements at 1 metre will require a gate delay of about 2.9ms. This is not really necessary however, since the whole reason for using the cosine envelope is to minimise the generation and reflection of any frequency that is not the actual test frequency. sound.westhost.com /project58.htm   (1620 words)

 zeilenga-ldap-cosine-02.txt Zeilenga draft-zeilenga-ldap-cosine-02 [Page 5] INTERNET-DRAFT COSINE Schema 6 February 2006 (0.9.2342.19200300.100.1.48 NAME 'buildingName' EQUALITY caseIgnoreMatch SUBSTR caseIgnoreSubstringsMatch SYNTAX 1.3.6.1.4.1.1466.115.121.1.15{256}) The DirectoryString (1.3.6.1.4.1.1466.115.121.1.15) syntax and the 'caseIgnoreMatch' and 'caseIgnoreSubstringsMatch' rules are described in [Syntaxes]. Zeilenga draft-zeilenga-ldap-cosine-02 [Page 6] INTERNET-DRAFT COSINE Schema 6 February 2006 (0.9.2342.19200300.100.1.11 NAME 'documentIdentifier' EQUALITY caseIgnoreMatch SUBSTR caseIgnoreSubstringsMatch SYNTAX 1.3.6.1.4.1.1466.115.121.1.15{256}) The DirectoryString (1.3.6.1.4.1.1466.115.121.1.15) syntax and the 'caseIgnoreMatch' and 'caseIgnoreSubstringsMatch' rules are described in [Syntaxes]. This document is subject to the rights, licenses and restrictions contained in BCP 78, and except as set forth therein, the authors retain all their rights. ietfreport.isoc.org /idref/draft-zeilenga-ldap-cosine   (4102 words)

 Define DCT - Discrete Cosine Transform Discrete Cosine Transform is a Fourier-related transform similar to the discrete Fourier transform (DFT), but using only real numbers. It is equivalent to a DFT of roughly twice the length, operating on real data with even symmetry (since the Fourier transform of a real and even function is real and even), where in some variants the input and/or output data are shifted by half a sample. The result is an 8 × 8 transform coefficient array in which the (0,0) element is the DC (zero-frequency) component and entries with increasing vertical and horizontal index values represent higher vertical and horizontal spatial frequencies. www.birds-eye.net /definition/d/dct-discrete_cosine_transform.shtml   (923 words)

 CoSine soars 174 percent - Sep. 26, 2000 CoSine, the only IPO to begin trading Tuesday, hit a high of \$71 and closed up \$40.06 at \$63.06. Cosine's success follows the strong performance of Inrange Technologies Inc. (INRG: Research, Estimates), a maker of networking equipment, which also nearly tripled last Friday. CoSine had planned to sell 10 million shares at \$20 to \$22 each, which was raised last week from \$15 to \$17, which itself was up from the originally planned \$13-to-\$15 range. money.cnn.com /2000/09/26/deals/cosine   (368 words)

 CoSine Goes Live with Interwoven's Content Infrastructure   (Site not responding. Last check: ) CoSine now effectively leverages existing content and enables domain experts to share content and post directly to their respective sections on three unique corporate sites. CoSine's choice of Interwoven's Content Infrastructure was based on the need to push enterprise content ownership out to the people who create the content without having to teach them HTML. "CoSine is at the leading edge in their market segment and needed an enterprise content management solution that would allow them to easily expand to address multiple initiatives and reach a variety of audiences," said Jack Jia, CTO of Interwoven. www.imanage.com /news/press/2002/0312cosinepr.html   (531 words)

 Cosines   (Site not responding. Last check: ) The cosine of an angle is defined as the sine of the complementary angle. Since the sum of the angles in a triangle equals 180°;, and angle C is 90°, that means angles A and B add up to 90°, that is, they are complementary angles. Therefore the cosine of B equals the sine of A. www.clarku.edu /~djoyce/trig/cosines.html   (526 words)

 Mathwords: Inverse Cosine With inverse cosine, we select the angle on the top half of the unit circle. Note: arccos refers to "arc cosine", or the radian measure of the arc on a circle corresponding to a given value of cosine. Technical note: Since none of the six trig functions sine, cosine, tangent, cosecant, secant, and cotangent are one-to-one, their inverses are not functions. www.mathwords.com /c/cosine_inverse.htm   (181 words)

 CoSine Goes Live with Interwoven's Content Infrastructure   (Site not responding. Last check: ) CoSine now effectively leverages existing content and enables domain experts to share content and post directly to their respective sections on three unique corporate sites. CoSine's choice of Interwoven's Content Infrastructure was based on the need to push enterprise content ownership out to the people who create the content without having to teach them HTML. "CoSine is at the leading edge in their market segment and needed an enterprise content management solution that would allow them to easily expand to address multiple initiatives and reach a variety of audiences," said Jack Jia, CTO of Interwoven. www.interwoven.com /news/press/2002/0312cosinepr.html   (531 words)

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