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Parametric equation - Wikipedia, the free encyclopedia In general, a parametric curve is a function of one independent parameter (usually denoted t). Parametrized surfaces, of great use in such vector calculus applications as Stokes' theorem, are functions of two parameters, most commonly (s, t) or (u,v). An example of a parametrized surface is the (capless) cylinder given by en.wikipedia.org /wiki/Parametric_equation   (370 words)

Isosurface Tutorial: Parametric Equations Sometimes it is difficult, or even impossible, to specify a single equation in x, y and z that specifies the surface but a set of parametric equations might be available. In the 3d case we need three parametric equations, one each for x, y and z; and we need two parameters which we will call u and v. Now that we have parametric isosurfaces, we can specify a surface in a few lines that used to take yards of mathematics to specify with smooth triangles. www.econym.demon.co.uk /isotut/parametric.htm   (1294 words)

Parametric Polymorphism   (Site not responding. Last check: 2007-10-07) In addition to subtype polymorphism, Theta supports _parametric polymorphism_, in which a routine, type, or class definition is parameterized by one or more types (9.3). Parametric polymorphism allows the actual parameter type to be selected by the user, when the type or routine is _instantiated_ (3.2.2). Subtype polymorphism is useful for defining generic behavior over a set of related types, while parametric polymorphism is useful for defining generic behavior where the actual parameters need not be related in the type hierarchy. www.pmg.lcs.mit.edu /papers/thetaref/node8.html   (141 words)

Parametric Versus Non-Parametric Algorithms The first is a non-parametric algorithm (the nearest-friend algorithm is a special case) and the second is a parametric algorithm. The most common method of density estimation has been by a parametric one which consists of binning the number of counts, in their projected position (X,Y), and fitting a theoretically motivated function which depends on a set of pre-defined parameters. The parametric binning method involves scanning a field with a fixed size sampling bin and counting the number of sources in each bin. www.astro.ufl.edu /~bruno/SecondYearProject/node6.html   (371 words)

Parametric Equalization   (Site not responding. Last check: 2007-10-07) Parametric Equalization can be used to either refine or completely reshape an instruments tone. On the instrument, the Parametric EQ controls can be expressed in several different configurations: 1-2-3-or 4 bands accessible on the front of the instrument or all 4 bands accessed via recesses in the back cover plate using trim pots. The Parametric refers to two additional band parameters that can be altered or varied: Frequency and Quality Factor (Q) or Bandwidth. home.att.net /~paian_instruments/peq.htm   (397 words)

Parametric Equations   (Site not responding. Last check: 2007-10-07) The curve defined parametrically by the equations was identical to the graph of the function. One nice interpretation of parametric equations is to think of the parameter as time (measured in seconds, say) and the functions f and g as functions that describe the x and y position of an object moving in a plane. In order to obtain parametric equations that describe the motion of a projectile it is useful to set up a rectangular coordinate system with the positive x-axis along the (horizontal) ground and in the direction we will send the projectile and the y-axis perpendicular to the ground. colalg.math.csusb.edu /~devel/precalcdemo/param/src/param.html   (1618 words)

POV-Ray: Documentation: 2.4.5 Parametric Object Where the isosurface object uses implicit surface functions, F(x,y,z)=0, the parametric object is a set of equations for a surface expressed in the form of the parameters that locate points on the surface, x(u,v), y(u,v), z(u,v). The parametric object is not a solid object it is "hollow", like a thin shell. If you declare a parametric surface with the precompute keyword and then use it twice, all arrays are in memory only once. www.povray.org /documentation/view/3.6.1/301   (294 words)

ARX FAQs - all about Parametric EQs and the ARX Multi Q Parametrics usually offer from 3 to 6 bands, some with overlapping frequency ranges and some with broadband control able to be used over the complete frequency range. Most parametrics have a switchable scale or range switch which allows operation in a x1 or x10 mode allowing the required frequency of equalization to be more accurately fixed on a finer scale. Parametric equalizers lack the "graphic" appearance of Graphic Equalizers and are often perceived as being difficult and complex to operate. www.arx.com.au /FAQ_Parametric_EQs.htm   (631 words)

PARAMETRIC POWER CONVERSION - by JL Naudin If in accordance whith Fig 2, the afore-mentionned core is now alternately inserted into and withdrawn from the inductance L and this inductance is, in turn a part of tank circuit, then a parametric oscillator result. For such devices, it is a well known fact that ideally, the pumping frequency (rotating eccentric) should be twice the frequency to which the resonant tank is tuned (fig 3). The final step, of course, is to achieve a simple passive all-electrical parametric device in which the double frequency pumping action is an intrinsic part of the device. jnaudin.free.fr /html/paraintr.htm   (468 words)

Univariate Statistics - Nonparametric Overview Up until now, we have been primarily discussing parametric tests; that is, tests that hold certain assumptions about when they are valid. Under these parametric assumptions, it was possible to devise fairly simple sample statistics (such as the mean and the standard deviation) that could accurately estimate population parameters. This is obviously a violation of the homogeneity of variance assumption for parametric tests. www.uwsp.edu /psych/cw/statmanual/npoverview.html   (383 words)

parametric EQ parametric EQ The ADT W783 is a classic, 4-band, fully parametric EQ with exceptional tonal qualities. Each of the 4 overlapping bands of the parametric EQ offers 24dB of boost and cut and an adjustable bandwidth (Q factor of 3octives), and has extraordinary resolution and benchmark transparency. These parametric EQ units are standard V700 units and they will fit into a standard frame. www.adt-audio.com /UsProducts/V700/VFRINDEX/VFW783_0.html   (145 words)

Parametric and External Excitation of Marine Risers   (Site not responding. Last check: 2007-10-07) It is shown that as the parametric excitation level is varied, the response predictions from different techniques exhibit the same linear trends. For a fixed level of parametric excitation, the response statistics are found to vary nonlinearly with external excitation levels. The Gaussian closure scheme is found to overpredict structural response for the case of pure parametric excitation and to underpredict structural response for the case of pure external excitation. www.pubs.asce.org /WWWdisplay.cgi?9201372   (202 words)

ArchitectureWeek - Tools - Parametric Propagation of Form - 2001.0926 The parametric expression of relationships between graphical objects is a way of modeling a complex set of design relationships that would be very difficult to model using conventional CAD techniques. Parametric expressions, therefore, allow users to change the values of key parameters, and to observe the propagation of changes on dependent expressions, and hence upon the dependent geometry. Parametric design is a relatively new form of expression in architectural design, with the potential to support design creativity. www.architectureweek.com /2001/0926/tools_1-2.html   (1109 words)

Parametric Estimating Handbook - Chapter 9   (Site not responding. Last check: 2007-10-07) Parametric estimating is acceptable as a basis of estimate (BOE) provided the techniques are properly calibrated, validated, and appropriately used. When evaluating proposals based on parametric techniques, auditors should generally focus on (1) determining if the estimates were developed in accordance with established policies and procedures; (2) evaluating key cost drivers, inputs, and outputs; and (3) identifying and analyzing any adjustments that may have been made to the database, CERs, or input parameters. The Parametric Estimating Reinvention Laboratory demonstrated that validation is an on-going process, and that it is important for a company to have a process in place for routinely monitoring its parametric estimating techniques to ensure they remain credible. www.ispa-cost.org /peiweb/ch9.htm   (5576 words)

Parametric Plots The resulting two lines intersect at a point that is on the graph of the parametric plot of x and y as functions of the parameter t. Another classic example of a parametric plot is that of a circle with radius 1. The answer is that with more complex equations than these, the parametric description is much easier to work with, and many graphs described parametrically do not have an algebraic expression without the parameter. www.physics.ohio-state.edu /~physedu/mapletutorial/tutorials/kinematics2/parametric.html   (653 words)

parametric Galileo studied the cycloid and proposed that bridges be built in the shape of cycloids. If the parameter t represents time, then the parametric curve describes the motion of a point on the plane, and the path is referred to as the trajectory of the point. Graphing parametric equations by hand is usually accomplished using the tabulature method, alos called the plug and plot method; that is, you make a table with three columns, t, x and y. isolatium.uhh.hawaii.edu /m205L/lab5/parametric/Parametric.htm   (858 words)

Parametric Oscillation As a result, the parametric gain is a function of the frequency detuning, which effectively gives the degree to which the interaction violates strict energy conservation. 15 a transition (and a subsequent quenching of Raman) to parametric oscillation was observed. The parametric interaction in the micro-cavity causes emission of co-propagating signal and idler modes that are coupled into the forward direction of the tapered fiber. www.cco.caltech.edu /~vahalagr/html/parametric_oscillation.html   (757 words)

AG&T Select Tax Managed S&P 500 - Parametric Portfolio Associates   (Site not responding. Last check: 2007-10-07) Parametric employees together with an investor group led by Orca Bay Partners own 100% of the firm. Parametric is also capable of transitioning existing portfolio holdings without fully liquidating, which can reduce the realization of capital gains, thereby minimizing the impact of taxes. Upon request and where practical, Parametric will analyze a current portfolio and present an optimal solution for converting the current portfolio to a diversified index portfolio in the most tax efficient manner. www.amgtrust.com /details_parametric.html   (280 words)

Parametric Equalization by George Massenburg The foremost advantage of the system is the rather uncomplicated decoding; the FET ladder is inherently compatible with BCD input, and requires no individual D to A converters, Sample and Hold gates, and reduces the complexity of the control signal-to-resistance interface. The Parametric Equalizer is an appropriate compromise between a three-knob switched frequency equalizer, a graphic equalizer, and a program equalizer; and adds the capability for automation. The development of Parametric Equalization is the first step in providing the audio engineer with complete control of spectrum modification while providing a foundation for future automation. www.massenburg.com /cgi-bin/ml/parametric.html   (2275 words)

Coding Technologies | products and technologies || Parametric Stereo Parametric Stereo is fully standardized in MPEG-4 and the new component within aacPlus v2. As of today, Parametric Stereo is optimized for the range of 16-40 kbps and provides high audio quality at bit rates as low as 24 kbps. The Parametric Stereo encoder extracts a parametric representation of the stereo image of an audio signal, whereas only a monaural representation of the original signal is encoded in a conventional fashion. www.codingtechnologies.com /products/paraSter.htm   (207 words)

Relaxed Parametric Design with Probabilistic Constraints   (Site not responding. Last check: 2007-10-07) Parametric design is an important modeling paradigm in computer aided design. Current parametric modelers require an exact specification of all the constraints involved, which causes over-work on the part of the designer during design iterations. As a specific scheme for implementing relaxed parametric design, we present probabilistic constraints, where a parametric model is viewed as a stochastic process. www.cs.huji.ac.il /~arir/rpd-abs.html   (215 words)

Parametric Estimating Handbook - Preface This Second Edition of the Parametric Estimating Handbook is a comprehensive guide for Industry and Government acquisition professionals who prepare, evaluate (i.e., perform technical evaluations and/or contract audits), or negotiate proposals based on parametric estimating techniques. Parametric estimating is an acceptable method, according to the Federal Acquisition Regulation (FAR), for preparing proposals based on cost or pricing data or other types of data. The PCEI WG, as shown in Figure P-3, was a group of practitioners that was established to facilitate the awareness of, and support for, parametric estimating throughout the Industry and Government acquisition community. www.ispa-cost.org /PEIWeb/preface.htm   (1345 words)

Parametric and Non-Parametric   (Site not responding. Last check: 2007-10-07) parametric" is essentially a null category, since virtually all statistical tests assume one thing or another about the properties of the source population(s). For practical purposes, you can think of "parametric" as referring to tests, such as t-tests and the analysis of variance, that assume the underlying source population(s) to be normally distributed; they generally also assume that one's measures derive from an equal- parametric" as referring to tests that do not make on these particular assumptions. faculty.vassar.edu /lowry/parametric.html   (151 words)

(Sterilization) Considering Parametric Release (PMPN archive, Oct 03) When preparing for parametric re-lease, Young uses Method B outlined in ISO 11135, with a slight modification. There may be some conditions that increase bacteria resistance that parametric release may not be able to identify. The general concepts of cycle design used in the industry are the same, but it is the subtle differences that Ethox incorporates to improve cycle performance in regard to microbial inactivation and gas dissipation. www.devicelink.com /pmpn/archive/03/10/023.html   (1165 words)

MATH 2411 #21: PARAMETRIC EQUATIONS This is one of the strengths of the parametric form, you can work with relations as well as functions and uniquely determine the point of interest by giving its parameter value. Since the parametric form of a graph is not unique, there is no straight forward method to go from a graph to a parametric representation. Many interesting parametric curves can be developed by looking at the coordinates of a point on a circle which rolls along inside or outside another fixed line or circle. www-math.cudenver.edu /~rbyrne/online/241w21.htm   (1092 words)

Parametric Mixed-Integer Linear Programming: the General Case Mathematical programs often involve unknown parameters and the task of parametric optimization is, in principle, to solve the mathematical program for all possible values of these unknown parameters. Therefore, algorithms for parametric optimization typically divide the parameter space into regions of optimality; for each region infeasibility is established or an optimal solution is given as a smooth function of the parameters for this region. It should be noted that the complexity of parametric optimization is not polynomial even in special cases of the parametric linear program [1] and as a consequence any algorithm for more general cases is bound not to be polynomial either. aiche.confex.com /aiche/2005/preliminaryprogram/abstract_13733.htm   (782 words)

Parametric Mapping   (Site not responding. Last check: 2007-10-07) Dave Dunning, most likely the object which you are trying to texture map parametrically is a mixed object and not a parametric object. If, for example, you use a few closed shapes to c-mesh a closed solid object, the resulting object has a surface which is parametric, but its two flat faces at the ends are not. Because of this, parametric mapping cannot be applied to the complete object. www.formz.com /web_site_2000/content_pages/forum/forum_archive/forumB/337.html   (160 words)

Modern Machine Shop: Features of parametric programming - Understanding Parametric Programming, part two - column   (Site not responding. Last check: 2007-10-07) You will see that the use of parametric programming puts a great deal of "power" at your finger tips when this feature is available from within your CNC control. Once correctly preparing the parametric program, it would be very easy to command the machining of a bolt hole pattern with one simple statement. Most versions of parametric programming even allow the program to "monitor" many things about the machine that cannot be accessed through a normal CNC program. www.findarticles.com /p/articles/mi_m3101/is_n12_v63/ai_10691390   (1046 words)

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