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Topic: Secant

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In the News (Wed 21 Aug 19)

  PlanetMath: secant line
The secant line (or simply the secant) of a curve is a straight line intersecting the curve in at least two distinct points.
secant, secant of the curve, secant to the curve
This is version 11 of secant line, born on 2004-11-22, modified 2005-05-27.
planetmath.org /encyclopedia/Secant2.html   (133 words)

 Secant line - Wikipedia, the free encyclopedia
If the secant to a curve is defined by two points, P and Q, with P fixed and Q variable, as Q approaches P along the curve, the direction of the secant approaches that of the tangent at P (assuming there is just one).
Draw a secant line to the unit circle (centered at the origin) that passes through the origin and through (cos θ, sin θ), the point on the unit circle at an angle of θ.
The absolute value of the trigonometric secant of θ is equal to the length of a segment of the secant line running from the origin to the line x = 1.
en.wikipedia.org /wiki/Secant_line   (327 words)

 Numerical Root Finding
To improve the slow convergence of the bisection method, the secant method assumes that the function is approximately linear in the local region of interest and uses the zero-crossing of the line connecting the limits of the interval as the new reference point.
However, since the secant method does not always bracket the root, the algorithm may not converge for functions that are not sufficiently smooth.
The only difference between these two methods is that the secant method keeps the most recent two estimates, while the false position method retains the most recent estimate and the next recent one which has an opposite sign in the function value.
www.efunda.com /math/num_rootfinding/num_rootfinding.cfm   (482 words)

 Secant Angles in a Circle
With the exception of the case where A lies on the circle, the secant angle intercepts two arcs on the circle: BC and DE, in the applet.
Conventionally, the secant angle equals half the sum of the angular measure of the two arcs (for A inside the circle) or half their difference (for A outside the circle).
In the case, where one of the secants is tangent to the circle, A still lies outside the circle and the angle intercepts two arcs.
www.cut-the-knot.com /Curriculum/Geometry/SecantAngle.shtml   (344 words)

 Secant   (Site not responding. Last check: 2007-11-06)
In trigonometry, a secant is a particular trigonometric function, the reciprocal of the cosine function.
A secant line of a curve is that line which intersects two (or more) points upon the curve.
Note that this use of "secant" comes from the Latin "secare", for "to cut"; this is not a reference to the trigonometric function.
www.theezine.net /s/secant.html   (231 words)

 Business Wire: Secant Technologies Secures $6M in First Round ... @ HighBeam Research   (Site not responding. Last check: 2007-11-06)
Secant plans to use the new funding to double its size by year-end, hiring in key areas such as sales, marketing, engineering, and customer support.
Secant Technologies, Inc. is a leading provider of high-performance application server technology for building, deploying, hosting and managing the most demanding e-Business applications.
Secant Extreme and Extreme Enterprise Server are trademarks of Secant Technologies, Inc. All other products are trademarks of their respective rights holders.
www.highbeam.com /library/doc0.asp?DOCID=1G1:63901111&refid=ip_encyclopedia_hf   (606 words)

 MSN Encarta - Search Results - secant
Secant (trigonometry), one of the fundamental ratios of trigonometry.
Secant (geometry), a line, line segment, or ray that intersects a circle or other curve at two and only two points.
Arc Secant, in trigonometry, the inverse of the secant function.
encarta.msn.com /secant.html   (126 words)

 Secant - Wikipedia, the free encyclopedia
Secant, a trigonometric function, given by sec(x) = 1/cos(x).
In numerical analysis, the secant method is a root-finding algorithm.
This is a disambiguation page, a list of pages that otherwise might share the same title.
en.wikipedia.org /wiki/Secant   (84 words)

 Business Wire: Secant Forges Ahead with Leadership Position in... @ HighBeam Research   (Site not responding. Last check: 2007-11-06)
Secant Technologies, Inc. the leading provider of advanced software technology for building multi-tier applications, continues its impressive momentum in the Java application server market through a multitude of announcements at Sun's JavaOne conference this week in San Francisco.
Secant also announces its support for the Java 2 Enterprise Edition platform that is being unveiled at JavaOne.
Secant Technologies and Secant Extreme are trademarks of Secant Technologies, Inc. All additional marks are trademarks or registered trademarks of their respective rightsholders.
www.highbeam.com /library/doc0.asp?DOCID=1G1:54880870&refid=ip_encyclopedia_hf   (695 words)

 Secant Method
Such a method is the secant method which closely resembles the regula falsi method in using a linear approximation to f(x) at each iteration, but with the bracketing aspect dropped.
In figure 6.6 the secant method is illustrated and we can see that the function f(x) is being approximated by a straight line which is an extrapolation based on the two points x
The secant method has the advantage that we do not need to have prior knowledge of the interval in x in which each zero of f(x) lies.
pathfinder.scar.utoronto.ca /~dyer/csca57/book_P/node36.html   (642 words)

 S3: Exponential Secant Root Finder
A simple secant solver had been used on a function with great results, except at a few extreme software inputs.
The function being solved looked similar to figure A. In figure A, if the secant method were to hit points between 5 and 10 billion, it would quickly be thrown off by the straight slope into values less than zero, where the function cannot be evaluated.
This method proved to be as quick as a normal secant solution, and very effective for functions which cannot be evaluated at values <= 0.
stompstompstomp.com /weblog/technical/2004-10-22   (412 words)

 Bot Epidemic || At the forefront of bot developments   (Site not responding. Last check: 2007-11-06)
Secant is configured through a file where you can specify model, skin, skill, speed and ping.
Secant's speed depends on the other parts of the mod which are enabled, with stuff like rebounding lasers it can slowdown, but with these shut off the bot runs at a good speed.
Secant continues to improve and is now a very good bot.
www.cyd.liu.se /users/~bjoli035/botepidemic/reviews/secrev.shtml.htm   (606 words)

 Secant Technologies
Secant Technologies is a computer network services company supporting over 300 clients in southwest Michigan since 1986.
Secant's goal is to establish long-term relationships with our clients.
Secant is successful in this effort when employing the following components: strategic planning, proactive approach, continuity and effective communication.
www.secantcorp.com /about_us.cfm   (289 words)

 Software Magazine - Secant: From Vision Model to Reality
Secant advances the functionality of model-driven development to enable organizations to rapidly build, power, and evolve high-performance applications.
Secant's code generator takes these models and automatically creates the glue-code needed to connect the application to the fully integrated, standards-based server.
Secant provides technical support and a full line of professional services that include a comprehensive product-based educational curriculum, consulting, and mentoring in enterprise system architecture, application design, and systems implementation.
www.softwaremag.com /archive/2001apr/Secant.html   (358 words)

 The Secant Method for square roots   (Site not responding. Last check: 2007-11-06)
The Secant Method is super-linear in the speed of convergence.
Since the Secant Method is super-linear in speed of convergence, why use the Bisection Method or the Regula Falsi Method.
This is not always the case with the Secant method.
www.mathpath.org /Algor/algor.square.root.secant.htm   (427 words)

 secant on Encyclopedia.com
If it intersects the curve in two different points, as in the secant of a circle, the segment of the secant between the points is called a chord.
The limiting position of a secant, if such a limit exists, is called the tangent to the curve or surface at that point.
SECANT Network Technologies Obtains New Equity Financing From Investor Group Led By BancAmerica Capital Investors.
www.encyclopedia.com /html/s1/secant.asp   (318 words)

 Universal Language Could Benefit Retailers, Brokers   (Site not responding. Last check: 2007-11-06)
Secant understands the complexities of the alcohol beverage industry environment and the need for collaboration throughout the value chain.
Secant’s product offering facilitates the collection and transformation of disparate data from distributors and national accounts, providing manufacturers a clear view of their performance through the supply chain.
Secant’s product offering design is extremely flexible, enabling companies to maximize their current technology investments.
www.tdlinx.com /tdlinxnews/04_20_04.htm   (777 words)

 Mathwords: Inverse Secant
With inverse secant, we select the angle on the top half of the unit circle.
Note: arcsec refers to "arc secant", or the radian measure of the arc on a circle corresponding to a given value of secant.
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 /s/secant_inverse.htm   (194 words)

 Secant Method
The idea of the Secant method is not to use the Hessian matrix directly, but rather start of the procedure with an approximation to the matrix, which, as one gets closer to the solution, gradually approaches the Hessian.
Usually, the storage of the matrix in the Secant method is no disadvantage, at least not for a moderate number of variables.
The Secant method has become very popular for optimization: it converges fast (at best superlinear), it is stable, and spends relatively modest computing time at each iteration.
trond.hjorteland.com /thesis/node29.html   (735 words)

 Research Experience for Undergraduates
Application of the secant method to prediction of flow curves in multi-microstructure steels.
On the secant method and the Ptak error estimates.
On the behavior of the secant method near a multiple root.
math.fullerton.edu /mathews/n2003/secantmethod/SecantMethodBib/Links/SecantMethodBib_lnk_3.html   (626 words)

 Secant Pile / Berliner Wall
Secant pile walls are formed by constructing intersecting reinforced concrete piles.
The piles are reinforced with either steel rebar or with steel beams and are constructed by either drilling under mud or augering.
In a tangent pile wall, there is no pile overlap as the piles are constructed flush to each other.
www.forasol.com /secant_pile_berliner_wall.htm   (379 words)

 San code - the secant root finder   (Site not responding. Last check: 2007-11-06)
The secant root finder algorithm is an algorithm for finding a zero of a function, i.e., given a function f(x), find an x such that f(x) = 0.
The idea is to define a morph called secant that has defined within it two functions, secant$f and secant$init.
The various fields in secant, $delta, $x, and $y persist as long as the morph does.
www.tiac.net /~cri/2003/secant.html   (254 words)

 Secant Applet   (Site not responding. Last check: 2007-11-06)
When Q is close to P, the secant line should be close to the tangent line.
The magenta number "dy/dx" is the slope of the secant line through P and Q.
By moving the vertical green line closer to the red line, the point Q moves closer to the basepoint P, and the slope dy/dx of the secant line becomes a better approximation of the slope of the line tangent to the blue curve at P.
csunix1.lvc.edu /~lyons/java/secant/secant.html   (443 words)

 Business Wire: Secant Technologies Unleashes Full Line of Seca... @ HighBeam Research   (Site not responding. Last check: 2007-11-06)
Secant, in conjunction with AMD, will be demonstrating the world-class scalability and clustering capabilities of its Secant Extreme Enterprise Server on a cluster of rack-mounted Linux servers provided by Pionex(R) Technologies.
Secant Extreme Enterprise Server for EJB or C++ is priced at $2,599 per developer seat, with deployment licenses sold on a per-server CPU basis for an unrestricted number of clients.
Secant Extreme Persistent Object Service for Java or C++ is priced at $1,599 per developer seat, with deployment licenses sold on a per-server CPU basis.
www.highbeam.com /library/doc0.asp?docid=1G1:59110059&refid=ink_tptd_g1   (936 words)

 Secant Technologies Joins Rational RoseLink Partner Program
Rose Secant Extreme Link, the integrating technology that joins Rational Rose 98 with the Secant Extreme family of products, can be used to create a complete object-to-database mapping solution, or to create a complete multi-tier, CORBA-based application.
The resulting code may then be deployed on Secant Extreme Enterprise Server, integrating state-of-the-art object-to-database mapping excellence with superior implementations of standard CORBA services such as transactions, security, events, concurrency and locking.
Founded in 1995, Secant Technologies has headquarters in Cleveland and offices in Boulder, Colo. Additional information is available on the Web at http://www.secant.com.
www.prnewswire.com /cgi-bin/stories.pl?ACCT=104&STORY=/www/story/06-15-1998/0000682384&EDATE=   (597 words)

 Functions Called Tangent and Secant (from trigonometry) --  Britannica Student Encyclopedia
Their names and abbreviations are sine (sin), cosine (cos), tangent (tan), cotangent (cot), secant (sec), and cosecant (csc).
A tangent line may be considered the limiting position of a secant line as the two points at which it crosses the curve approach one another.
These functions are most conveniently defined in terms of the exponential function, with sinh z = (e e) and cosh z = (e + e) and with the other hyperbolic trigonometric functions defined in a manner...
www.britannica.com /ebi/article-209082?tocId=209082&ct=   (855 words)

You can see that as we choose points on the circular arc which are closer and closer to (0,1), the secant lines we produce are more and more flat.
Now that you understand tangent lines, and how they are found using an approximation by secant lines, you are in a good position to approach the derivative.
So the slope of the secant line is told to us by the difference quotient, evaluated when x=a.
www.ms.uky.edu /~cvl/General_Teaching/secant_approximation1.html   (1414 words)

 slider   (Site not responding. Last check: 2007-11-06)
When the "beads" are apart, the slope of the line between them (called a "secant" line) can be calculated (as "rise/run") from the lengths of the vertical and horizontal lines shown.
However, when the beads are together, the rise and run are both zero so in that case the slope of the line cannot be calculated this way.
The process of defining the slope of this "tangent" line as a "limit" of secant slopes (and of finding quicker ways of calculating it in many cases) is a major part of what we study in first semester calculus.
www.langara.bc.ca /mathstats/resource/slider/index.htm   (155 words)

 Outdoor Research Secant Zip-T Gear Review for Hiking, Backpacking, Trekking, and Adventure Travel
The first thing I want to mention is that the Secant has a technical fit, which means that it is designed for a relatively tight fit.
The Secant wears well, and looks relatively good and smells relatively good, when out on the trail for days at a time without washing.
The Secant Zip-T is available in five sizes and is designed for both men and women.
www.worldclassgear.com /outdoor_research_secant_zip_tee.asp   (685 words)

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