NumericalRecipes is the generic title of a series of books on algorithm s and numerical analysis by William ... File NumericalRecipes3rdEdCover.jpg NumericalRecipes3rdEdCover right thumb 175px NumericalRecipes The Art of Scientific Computing Third Edition , in C File NumericalRecipes in Fortran.JPG right thumb 175px Older edition of the book, in Fortran. The NumericalRecipes books cover a range of topics ... to the publisher, Cambridge University Press , the NumericalRecipes books are historically the all time best selling books on scientific programming methods. In recent years, NumericalRecipes ... soon followed by editions in Pascal, BASIC, and C , NumericalRecipes took, from the start, an opinionated ... NumericalRecipes The Art of Scientific Computing publisher Cambridge University Press publication ... for NumericalRecipes was by no means the majority of scientists doing computation, but only .... ref name cip Press, William H. and Teukolsky, Saul A. NumericalRecipes Does This Paradigm Have ... and Web. Recognizing that their NumericalRecipes books were increasingly valued more for their explanatory ... title NumericalRecipes The Art of Scientific Computing edition 3rd publisher Cambridge University ... P. year 2007 title NumericalRecipes The Art of Scientific Computing edition 3rd publisher Cambridge ... numericalrecipes is bound to send the shudders down every honest numerical mathematicians spine ..., for example the NAG Numerical Libraries . Although not mentioning NumericalRecipes by name, Whaley ... triply nested loop linear algebra routines similar to the code in NumericalRecipes . As another ... is copyright by the NumericalRecipes authors, and not free available to use under a GNU General ... was that a free software free library was in part needed as a substitute for NumericalRecipes . The Numerical ... individual and corporate licenses to the code, and clearly consider the NumericalRecipes enterprise as a business. ref NumericalRecipes web site, http www.nr.com aboutNR3code.html NumericalRecipes ... more details
Numerical may refer to Number Numerical analysis disambig Short pages monitor This long comment was added to the page to prevent it from being listed on Special Shortpages. It and the accompanying monitoring template were generated via Template Long comment. Please do not remove the monitor template without removing the comment as well. ... more details
Infobox website name Simply Recipes logo File Simply Recipes.gif 200px url http simplyrecipes.com alexa 7,826 ref name alexa commercial Yes type Food blog language English language English registration No owner Elise Bauer author Elise Bauer launch date 2003 current status Online Simply Recipes is a cooking blog written by Elise Bauer, who regularly posts new recipes to the website. ref name globe Bauer began writing the blog in 2003 to record her family recipes. ref name boston Content Bauer writes about recipes for popular dishes such as meatloaf and apple pie , as well as how to articles on subjects such as how to cook the perfect boiled egg or how to best caramelize an onion . The blog often features guest bloggers. ref name globe Each recipe is attached with a photo of the final product, along with several photos that portray each major step in the recipe. The website s posts are organized in categories, such as one that only includes recipes involving beef , appetizer s, or low budget meals. ref name globe Reception By January 2007, Simply Recipes was receiving over one million visits per month and had over 500 recipes. The Well Fed Network, a compilation of food blogs, awarded Simply Recipes the award for best blog overall of 2006. ref name boston The blog has been described as taking a relaxed approach to food. Maggie Wrobel of The Globe and Mail appreciated the website s method of organizing recipes in categories, making it easier to find recipes that she was interested in. ref name globe References reflist refs ref name alexa cite web accessdate 2010 04 07 url http www.alexa.com siteinfo simplyrecipes.com title Alexa rank publisher Alexa ref ref name boston cite web accessdate 2010 04 07 url http www.boston.com ae food articles 2007 01 24 blogs add a new ingredient to food writing title Blogs add a new ingredient to food writing work Boston Globe date 2007 01 ... life article968279.ece title Hot Link Simply Recipes work Globe and Mail publisher CTVglobemedia ... more details
distinguish2 the Tearfund book of the same name Infobox Book name Recipes for Disaster title orig translator image Image recipes for disaster cover.png image caption author Anonymous illustrator cover artist PFMAG country United States language English language English series subject Direct action genre How to , cookbooks , handbook s publisher CrimethInc. release date December 2004 english release date media type pages 624 isbn 0 9709101 4 2 oclc 173082607 preceded by Days of War, Nights of Love followed by Expect Resistance Recipes for Disaster An Anarchist Cookbook is an anarchist book released by the CrimethInc. collective in December 2004. It provides information on and strategies for direct action useful to activist s and dissenters. There are sections on forming affinity group s, organizing demonstrations, stencil ing, black bloc s, sabotage , squatting , and more personal topics like mental health and Supporting Survivors of Domestic Violence . It was written over a span of three years by dozens of radical collectives from all over the world working together. The title alludes to The Anarchist Cookbook , a controversial book from 1971. CrimethInc. denounces the earlier book, saying it was not composed or released by anarchists, not derived from anarchist practice, not intended to promote freedom and autonomy or challenge repressive power and was barely a cookbook, as the recipes in it are notoriously unreliable. At best, it was a fraud, a spoof at worst, an attempt to undermine the legitimacy of anarchist practice, and cause readers to injure themselves. The recent movie by the same name is equally embarrassing, not so much to anarchists as to the industry that produced it. ref cite web title Interview with The Guardian , September 2004 first Craig last Taylor work ... www.crimethinc.com books rfdreviews.html publisher CrimethInc. title Reviews of Recipes for Disaster ... External links http portland.indymedia.org en 2005 03 313237.shtml Book Review Recipes for Disaster ... more details
pie article Mincemeat tart Mince pie article , wikibooks Transwiki Mince pie recipes No Bake Chocolate ... Hamburgers Hamburger article French fries French fries article Further unwritten articles and recipes ... Laverbread recipe Welsh cake wikibooks WelshCake recipe 19th century recipes from the Household ... Venison recipes Fish recipes 1 BAKED PICKEREL. Carefully clean and wipe the fish, and lay in a dripping ... Chowder, Daniel Webster s Chowder Soup recipes Soup maigre Portable soup Asparagus soup Giblet soup ... butter Miser s sauce Nivernoise sauce Tomato catsup Fish sauce Apple sauce Potato recipes Wikibooks ... Tapioca recipes Pudding s Dr. Kitchener s pudding Yorkshire pudding Frumenty Windsor pudding Cheshire ... Historical Collections of recipes Forme of Cury See also Culinary art Cuisine List of cocktails Gourmet Museum and Library References Reflist DEFAULTSORT List Of Recipes Category Cuisine fr Recettes ... more details
is typically of the order 2.2× 10 sup 16 sup . ref Following NumericalRecipes in C , http ...In numerical analysis , numerical differentiation describes algorithm s for estimating the derivative of a mathematical function or function subroutine using values of the function and perhaps other knowledge ... Faires 2000 , Numerical Analysis , 7th Ed , Brooks Cole. ISBN 0 534 38216 9 ref Choosing a small ... the finite difference formulae are ill conditioned ref name Fornberg1 Numerical Differentiation of Analytic ... meaning Numerical integration where weighted sums are used in methods such Simpson s method ... finite difference approximations for numerical differentiation are ill conditioned. However, if math ... in the complex plane near math x math then there are Numerical stability stable methods. For example ... f z over z a n 1 , mathrm d z math , where the integration is done Numerical integration numerically . Using complex variables for numerical differentiation was started by Lyness and Moler in 1967. ref name LynessMoler1 J. N. Lyness AND C. B. Moler, Numerical differentiation of analytic functions, SIAM J.Numer. Anal., 4 1967 , pp. 202 210. ref A method based on numerical inversion of a complex ... difference Five point stencil Numerical integration Numerical ordinary differential equations Numerical smoothing and differentiation List of numerical analysis software Notes reflist External links wikibooks Numerical Methods http mathworld.wolfram.com NumericalDifferentiation.html http math.fullerton.edu ... 02dif.html Numerical Differentiation Resources Textbook notes, PPT, Worksheets, Audiovisual YouTube Lectures at http numericalmethods.eng.usf.edu Numerical Methods for STEM Undergraduate http www.holoborodko.com pavel ?page id 236 Smooth Noise Robust Numerical Derivative Numerical differentiation ... and smooth noise robust differentiators with reference tables. DEFAULTSORT Numerical Differentiation Category Numerical analysis Category Differential calculus cs Numerick derivace de Numerische Differentiation ... more details
oldverswitcher.html NumericalRecipes , William H. Press free, downloadable previous editions http ... Babylonian Collection ref Numerical analysis is the study of algorithm s that use numerical approximation ... is the Babylonian tablet BC 7289, which gives a sexagesimal numerical approximation of math sqrt ... CARPENTRY THEORY Demonstrate knowledge of setting out a building ref Numerical analysis continues ... of math sqrt 2 math , modern numerical analysis does not seek exact answers, because exact answers are often impossible to obtain in practice. Instead, much of numerical analysis is concerned with obtaining approximate solutions while maintaining reasonable bounds on errors. Numerical analysis naturally ..., stars and galaxies Mathematical optimization optimization occurs in portfolio management numerical ... numerical methods often depended on hand interpolation in large printed tables. Since the mid 20th ... . General introduction The overall goal of the field of numerical analysis is the design and analysis ... is suggested by the following. Advanced numerical methods are essential in making numerical weather prediction feasible. Computing the trajectory of a spacecraft requires the accurate numerical solution ... from all fields of numerical analysis to calculate the value of stocks and derivatives more precisely ... . Insurance companies use numerical programs for Actuary actuarial analysis. The rest of this section outlines several important themes of numerical analysis. History The field of numerical analysis ... more than 2000 years ago. Many great mathematicians of the past were preoccupied by numerical analysis ... numerical estimates of some functions. The canonical work in the field is the NIST publication edited ... purposes. But the invention of the computer also influenced the field of numerical analysis, since ... with an error less than 0.2. Discretization and numerical integration Image Schumacher Ferrari ... km 313.3 km, which is an example of numerical integration see below using a Riemann sum , because ... more details
Vetterling first3 WT last4 Flannery first4 BP year 2007 title NumericalRecipes The Art of Scientific ...Image Integral as region under curve.svg thumb right Numerical integration consists of finding numerical approximations for the value math S math In numerical analysis , numerical integration constitutes a broad family of algorithms for calculating the numerical value of a definite integral , and by extension, the term is also sometimes used to describe the numerical ordinary differential equations numerical solution of differential equations . This article focuses on calculation of definite integrals. The term numerical quadrature often abbreviated to Quadrature mathematics quadrature is more or less a synonym for numerical integration , especially as applied to one dimensional integrals. Numerical ... integration as well. The basic problem considered by numerical integration is to compute an approximate ..., there are many methods of approximating the integral with arbitrary precision. Reasons for numerical integration There are several reasons for carrying out numerical integration. The integrand ... systems and other computer applications may need numerical integration for this reason. A formula ... be possible to find an antiderivative symbolically, but it may be easier to compute a numerical approximation .... Methods for one dimensional integrals Numerical integration methods can generally be described ... used and the accuracy required from the approximation. An important part of the analysis of any numerical ... evaluation takes time, and the integrand may be arbitrarily complicated. A brute force kind of numerical ... integrals is thus best studied in its own right. See also Numerical ordinary differential equations Truncation error numerical integration Clenshaw Curtis quadrature Gauss Kronrod quadrature Riemann ... mathematician Philip Rabinowitz , Methods of Numerical Integration . George E. Forsythe, Michael ...?pg 155 Josef Stoer and Roland Bulirsch. Introduction to Numerical Analysis . New York Springer ... more details
Noref date August 2011 Numerical resistivity is a problem in computer simulation s of ideal magnetohydrodynamics MHD . It is a form of numerical diffusion . In near ideal MHD systems, the magnetic field can diffuse only very slowly through the Plasma physics plasma or fluid of the system it is rate limited by the resistivity of the fluid. In Eulerian method Eulerian simulations where the field is arbitrarily aligned compared to the simulation grid, the numerical diffusion rate takes the form similar to an additional resistivity, causing non physical and sometimes bursty magnetic reconnection in the simulation. Numerical resistivity is a function of resolution, alignment of the magnetic field with the grid, and numerical method. In general, numerical resistivity will not behave isotropically, and there can be different effective numerical resistivities in different parts of the computational domain. For current 2005 simulations of the solar corona and inner heliosphere , this numerical effect can be several orders of magnitude larger than the physical resistivity of the plasma. See also Numerical diffusion Category Numerical differential equations mathapplied stub ... more details
Noref date August 2011 Numerical diffusion is a difficulty with computer simulation s of continua such as fluid s wherein the simulated medium exhibits a higher diffusivity than the true medium. This phenomenon can be particularly egregious when the system should not be diffusive at all, for example an ideal fluid acquiring some spurious viscosity in a numerical model. Explanation In Eulerian method Eulerian simulations , time and space are divided into a discrete grid and the continuous differential equation s of motion such as the Navier Stokes equation are discretization discretized into finite difference equation s. The discrete equations are in general more diffusion diffusive than the original differential equations, so that the simulated system behaves differently than the intended physical system. The amount and character of the difference depends on the system being simulated and the type of discretization that is used. Most fluid dynamics or Magnetohydrodynamics magnetohydrodynamic simulations seek to reduce numerical diffusion to the minimum possible, to achieve high fidelity but under certain circumstances diffusion is added deliberately into the system to avoid mathematical singularity singularities . For example, shock wave s in fluids and current sheet s in plasma physics plasma s are in some approximations infinitely thin this can cause difficulty for numerical codes. A simple way to avoid the difficulty is to add diffusion that smooths out the shock or current sheet. Higher order numerical methods including spectral methods tend to have less numerical diffusion than low order methods. Example As an example of numerical diffusion, consider an Eulerian simulation ... due to this sideways transfer. This numerical effect takes the form of an extra high diffusion rate. When numerical diffusion applies to the components of the momentum vector, it is called numerical viscosity when it applies to a magnetic field, it is called numerical resistivity . Category Numerical ... more details
In software engineering and mathematics , numerical error is the combined effect of two kinds of error in a calculation. The first is caused by the finite precision of computations involving floating point or integer values. The second usually called truncation error is the difference between the exact mathematical solution and the approximate solution obtained when simplifications are made to the mathematical equations to make them more amenable to calculation. The term truncation comes from the fact that either these simplifications usually involve the truncation of an infinite series expansion so as to make the computation possible and practical, or because the least significant bits of an arithmetic operation are thrown away. Floating point numerical error is often measured in ULP unit in the last place . See also numerical analysis round off error References Accuracy and Stability of Numerical Algorithms , Nicholas J. Higham, ISBN 0 89871 355 2 Category Computer arithmetic Category Numerical analysis software eng stub math stub ... more details
about Numerical taxonomy other uses of taxonomy Taxonomy disambiguation Numerical taxonomy is a Biological classification classification system in biological systematics which deals with the grouping by numerical method s of taxon taxonomic units based on their character states. ref cite web url http www.accessscience.com abstract.aspx?id 461900&referURL http 3a 2f 2fwww.accessscience.com 2fcontent.aspx 3fid 3d461900 title Numerical Taxonomy author date work www.accessscience.com publisher McGraw Hill Ltd. accessdate 13 April 2010 ref . It aims to create a taxonomy using numeric algorithms like cluster analysis rather than using subjective evaluation of their properties. The concept was first developed by Robert R. Sokal & Peter H. A. Sneath in 1963 ref Sokal & Sneath Principles of Numerical Taxonomy , San Francisco W.H. Freeman, 1963 ref and later elaborated by the same authors ref Sneath and Sokal Numerical Taxonomy , San Francisco W.H. Freeman, 1973 ref . They divided the field into phenetics in which classifications are formed based on the patterns of overall similarities and cladistics in which classifications based on the branching patterns of the estimated evolutionary history of the taxa. Note in recent years many authors treat numerical taxonomy and phenetics as synonyms despite the distinctions made by those authors. Although intended as an objective classification method, in practice the choice and implicit weighing of characteristics is, of course, influenced by available data and research interests of the investigator. What was made objective was the introduction of explicit steps to be used to create phenograms and cladograms using numerical methods rather than subjective synthesis of data. See also Hierarchical clustering Hierarchical clustering of networks Cladistics Phenetics References references Category Classification systems Category Taxonomy de Numerische Taxonomie es Taxonom a num rica ko ... more details
Unreferenced date December 2009 Cleanup date April 2010 Numerical data or quantitative data is data measured or identified on a numerical scale. Numerical data can be analyzed using statistical method s, and results can be displayed using table information table s, charts , histogram s and graph mathematics graphs . For example, a researcher will ask a questions to a participant that include words how often, how many or percentage. The answers from the questions will be numerical. Quantitative data involves amounts, measurements, or anything of quantity. Examples of quantitative data would be Counts there are 643 dots on the ceiling there are 25 pieces of bubble gum there are 8 planets in the solar system Measurements the length of this table is 1.892m the temperature at 12 00 p.m. was 18.9 Celsius the average flow yesterday in this river was 25 mph miles per hour After the data is collected the researcher will make an analysis of the quantitative data and produce statistics . See also Level of measurement Quantitative property Qualitative data Bibliography http regentsprep.org REgents math ALGEBRA AD1 qualquant.htm http web.cortland.edu andersmd stats qual.html DEFAULTSORT Numerical Data Category Data management Category Statistical data types statistics stub ht Done kantitatif ... more details
In mathematics, a numerical semigroup is a special kind of a semigroup . Its underlying set is the set ..., while the set 0, 2, 3, 4, 5, 6, ... is a numerical semigroup, the set 0, 1, 3, 5, 6, ... is not because 1 is in the set and 1 1 2 is not in the set. Numerical semigroups are commutative monoids and numerical semigroups are also called numerical monoids . ref cite web last Garcia Sanchez first P.A. title Numerical semigroups minicourse url http cmup.fc.up.pt cmup v2 include filedb.php?id ... accessdate 7 April 2011 ref The definition of numerical semigroup is intimately related to the problem ... century. ref name Rosales cite book last J.C. Rosales and P.A. Garcia Sanchez title Numerical Semigroups ... century, interest in the study of numerical semigroups resurfaced because of their applications in algebraic geometry . ref cite journal last V. Barucci, et. al. title Maximality properties in numerical ... of nonnegative integers. A subset S of N is called a numerical semigroup if and only if the following .... If x and y are in S then x y is also in S . There is a simple method to construct numerical ... fully characterizes numerical semigroups. Theorem Let S be the subsemigroup of N generated by A . Then S is a numerical ... numerical semigroup arises in this way. Examples The following subsets of N are numerical semigroups ... 2, b 3 , ... . Embedding dimension, multiplicity The set A is a set of generators of the numerical semigroup &lang A &rang . A set of generators of a numerical semigroup is a minimal system of generators if none of its proper subsets generates the numerical semigroup. It is known that every numerical ... is finite. The cardinality of the minimal set of generators is called the embedding dimension of the numerical ... is called the multiplicity of the numerical semigroup S and is denoted by m S . Frobenius number and genus There are several notable numbers associated with a numerical semigroup S . The set N .... The genus of S g S 8. center Numerical semigroups with small Frobenius number or genus class wikitable ... more details
Toeplitz theorem states that the numerical range of any matrix is a convex set . ref harvtxt Horn ... matrix , then the numerical range is the polygon in the complex plane whose vertices are eigenvalue ..., math W A lambda rm min , lambda rm max math which explains the name numerical range . If A is not normal, then a weaker property holds any corner of the numerical range is an eigenvalue of A . Here ... 1.6.3 ref Bounded operators on a Hilbert space If the closure of the numerical range of a bounded ... of such an operator is a normal operator . Special cases matrices of order N 2 . Numerical ... 2 math see Li 1996. matrices of order N 3 . Numerical range forms a an ellipse b has an ovular ... for normal operators only see Keeler, Rodman and Spitkovsky 1997. Generalisations C numerical range Higher rank numerical range Joint numerical range Product numerical range See also Field of values ... first2 Leiba last3 Spitkovsky first3 Ilya M. title The numerical range of math 3 times 3 math matrices journal Linear Algebra Applications 252, 115 year 1997 . DEFAULTSORT Numerical Range Category ... more details
In Scheme programming language Scheme and some other Lisp dialects, a numerical tower is the set of data types that represent number s in a given programming language . Each type in the tower conceptually sits on a more fundamental type, so an integer is a rational number and a number, but the inverse is not necessarily true, i.e. not every number is an integer this asymmetry implies that a language can allow Type conversion implicit coercions of numerical types without creating semantic problems in only one direction coercing an integer to a rational loses no information and does not affect the results of a function, but to coerce most reals to an integer could well result in a problem for example, the real 1 3 does not equal any integer . Scheme programming language, and also other Lisp dialects, defines all its arithmetic within this model. ref http www.schemers.org Documents Standards R5RS HTML r5rs Z H 9.html sec 6.2.1 ref Some given implementations may extend or adapt the tower. Kawa Scheme implementation Kawa , for example, extends it with a Quantity type that is even more generic than Number. Smalltalk is another programming language that follows this model, but it has a Magnitude as superclass of Number. Another popular variant is having both exact inexact arithmetic exact and exact inexact arithmetic inexact versions of the tower or parts of it. Most languages and language implementations do not support a Scheme like numerical tower. Some languages support it only in a limited way. References references DEFAULTSORT Numerical Tower Category Data types compu prog stub ... more details
No footnotes date February 2012 In the mathematics mathematical subfield of numerical analysis , numerical stability is a desirable property of numerical algorithm s. The precise definition of stability depends on the context, but it is derived from the accuracy of the algorithm. An opposite semantics ... stable . One of the common tasks of numerical analysis is to try to select algorithms which are robust that is to say, have good numerical stability among other desirable properties. Example ... of forward, backward, and mixed stability are often used in numerical linear algebra . Image Forward ... x , and their relation to the exact solution map mvar f and the numerical solution mvar f . Consider the problem to be solved by the numerical algorithm as a function mathematics function ... Mixed stability combines the concepts of forward error and backward error. The usual definition of numerical ... C 1 , then the growth of the error is called exponential growth exponential . Stability in numerical ... definition of numerical stability is used. In numerical ordinary differential equations , various concepts of numerical stability exist, for instance A stability . They are related to some ... a stable method when solving a stiff equation . Yet another definition is used in numerical partial ... is stable if the total variation of the numerical solution at a fixed time remains bounded as the step ... and stable in this sense . Stability is sometimes achieved by including numerical diffusion . Numerical diffusion is a mathematical term which ensures that roundoff and other errors in the calculation ... , Accuracy and Stability of Numerical Algorithms , Society of Industrial and Applied Mathematics, Philadelphia, 1996. ISBN 0 89871 355 2. Richard L. Burden and J. Douglas Faires, Numerical Analysis 8th Edition , Thomson Brooks Cole, U.S., 2005. ISBN 0 534 39200 8 DEFAULTSORT Numerical Stability Category Numerical analysis Category Stability radius ar cs Stabilita numerick metody de ... more details
Numerical relativity is one of the branches of general relativity that uses numerical methods and algorithms ... in numerical relativity is the simulation of relativistic binaries and their associated gravitational waves. Other branches are also quite active. Overview A primary goal of numerical relativity ... matter fields or vacuum. In the case of stationary and static solutions, numerical methods may also ... methods. Numerical relativity is applied to many areas, such as Physical cosmology cosmological Model ... hypersurfaces. http relativity.livingreviews.org Articles lrr 2000 5 Like all problems in numerical analysis, careful attention is paid to the numerical stability stability and Numerical ordinary differential equations Convergence convergence of the numerical solutions. In this line, much attention ... equations and the effect they have on the ability to produce accurate numerical solutions. Numerical ..., and solid mechanics. Numerical relativists often work with applied mathematicians and draw insight from numerical analysis , scientific computing scientific computation , partial differential ... solutions that assume special symmetry to reduce the complexity of the equations. The field of numerical ... ADM paper are rarely used in numerical simulations, most or all practical approaches to numerical ... technology would not have supported numerical solution to their equations on any problem of any substantial ... Smarr, The Structure of General Relativity with a Numerical Example, Ph.D. Dissertation, University ..., The numerical evolution of the collision of two black holes, Ph.D. Dissertation, Princeton University ... results in numerical relativity, probably due to the lack of sufficiently powerful computers to address ... symmetric solution to the Einstein field equations. This provides an excellent test case in numerical relativity because it does have a closed form solution so that numerical results can be compared ... Anninos, Karen Camarda, Joan Masso, Edward Seidel, Wai Mo Suen, and John Towns, Three dimensional numerical ... more details
Image Numerical aperture.svg right thumb The numerical aperture with respect to a point P depends on the half angle of the maximum cone of light that can enter or exit the lens. In optics , the numerical ... between different areas of optics. Numerical aperture is commonly used in microscopy to describe the acceptance ... In most areas of optics, and especially in microscopy , the numerical aperture of an optical system ... 2NA, where is the wavelength of the light. A lens with a larger numerical aperture will be able to visualize finer details than a lens with a smaller numerical aperture. Assuming quality diffraction limited optics, lenses with larger numerical apertures collect more light and will generally provide a brighter image, but will provide shallower depth of field . Numerical aperture is used to define ... DVD and Blu ray by Steve Kindig, Crutchfield Advisor . Accessed 2008 01 18. ref Numerical aperture versus f number Image Numerical aperture for a lens.svg thumb 250px right Numerical aperture of a thin lens . Numerical aperture is not typically used in photography . Instead, the angular aperture ... N f D math This ratio is related to the image space numerical aperture when the lens is focused at infinity. ref name Greivenkamp Based on the diagram at the right, the image space numerical aperture ... holds when the numerical aperture is small, but it turns out that for well corrected optical systems ... 1 2 mathrm NA i math even at large numerical apertures. As Rudolf Kingslake explains, It is a common ... thin lens definition and illustration of f number is misleading, and defining it in terms of numerical ... the light gathering ability of the lens or the image side numerical aperture. In this case, the numerical ...&pg PA29&dq inauthor greivenkamp numerical aperture p. 29. ref ref cite book title Field Guide ..., the object side numerical aperture is related to the f number by way of the magnification tending ... physics , the numerical aperture is defined slightly differently. Laser beams spread out as they propagate ... more details
The Numerical response in ecology is the change in predator density as a function of change in prey density. The term numerical response was coined by M. E. Solomon in 1949. ref Solomon, M. E. The Natural Control of Animal Populations. Journal of Animal Ecology. 19.1 1949 . 1 35 ref It is associated with the functional response , which is the change in predator s rate of prey consumption with change in prey density. As Holling notes, total predation can be expressed as a combination of functional and numerical response. ref Holling, C. S. The components of predation as revealed by a study of small mammal predation of the European pine sawfly. Canadian Entomologist 91 293 320. 1959 ref The numerical response has two mechanisms the demographic response and the aggregational response . The numerical response is not necessarily proportional to the change in prey density, usually resulting in a time lag between prey and predator populations. ref Ricklefs, R. E. The Economy of Nature. 6th Edition. New York Freeman and Company. 2010. p. 319. ref For example, there is often a scarcity of predators when the prey population is increasing. Demographic Response The demographic response consists of changes in the rates of predator reproduction or survival due to a changes in prey density. The increase in prey availability translates into higher energy intake and reduced energy output. This is different from an increase in energy intake due to increased foraging efficiency, which is considered a functional response. This concept can be articulated in the Lotka Volterra Predator Prey Model .... Numerical response in parasitism is still measured by the change in number of adult parasites relative to change in host density. Parasites can demonstrate a more pronounced numerical response ... into an area with increased prey population. ref Readshaw, J.L. The numerical response of predators ... actively prevent other foragers from coming in vicinity. Ecological Relevance The concept of numerical ... more details
Numerical Technologies, Inc. was a San Jose, California San Jose , California , USA based EDA public NASDAQ NMTC company. The company is primarily known for its IP portfolio, software tools and services covering phase shifting mask alternating Phase Shift Mask alt PSM Technology providing sub wavelength design to manufacturing solutions. On March 3, 2003 it was acquired by Synopsys . Mergers and acquisitions January 10, 2000 acquired Transcription Enterprises , Inc. primarily known for its CATS software CATS software for mask data preparation , ref http findarticles.com p articles mi m0EIN is 2000 Jan 10 ai 58502109 NumeriTech Acquires Transcription Enterprises Integration With IC Manufacturing Software Leader Expands Numeritech s Subwavelength Leadership Position ref October 27, 2000 acquired Cadabra Design Automation, Inc. Cadabra , a provider of automated IC layout cell creation technology used to create the building blocks for standard cell, semi custom and custom integrated circuits. Purchase price 99 million ref http www.lexpert.ca deal.php?id 1290 Numerical Technologies Acquires Cadabra Design Automation , Legal Expert magazine article of January 1, 2001 ref References references Category Defunct software companies Category Defunct companies based in California Category Electronic design automation companies ... more details
Cognitive Numerical cognition is a subdiscipline of cognitive science that studies the cognitive, developmental and neural bases of number s and mathematics . As with many cognitive science endeavors, this is a highly ... included in the domain of numerical cognition include How do non human animals process numerosity ... linguistic symbols with numerical quantities? How do these capacities underlie our ability to perform ... humans? What metaphorical capacities and processes allow us to extend our numerical understanding ... from non numerical parameters such as total surface area, luminance, circumference, and so on. After ... in place to rule out non numerical factors, the experimenters infer that six month old infants are sensitive ... involved in numerical estimation Harv Piazza Izard Pinel Le Bihan 2004 , number comparison ... of language, working memory and attention on numerical processes. Single unit neurophysiology ... for non human animals and infants numerical behavior Harv Nieder Miller 2003 . Relations between number and other cognitive processes There is evidence that numerical cognition is intimately related ... between numerical and spatial cognition. For instance, participants respond quicker to larger ..., Samuel title How to cook a SNARC Number placement in text rapidly changes spatial numerical associations ... for both spatial and numerical processing. ref cite journal last Dehaene first Stanislas title Varieties of numerical abilities journal Cognition year 1992 volume 44 issue 1 2 pages 1 42 doi 10.1016 ... ref These various lines of research suggest a strong, but flexible, connection between numerical ... given1 K. surname2 Packer given2 C. surname3 Pusey given3 A. year 1994 title Roaring and numerical ... of numerical competence journal Nature Reviews Neuroscience issue volume 6 pages 177 190 ... E. K. year 2003 title Coding of cognitive magnitude Compressed scaling of numerical information in the primate ... given1 A. surname2 Miller given2 E. K. year 2004 title A parieto frontal network for visual numerical ... more details
expert subject mathematics date July 2009 Numerical continuation is a method of computing approximate solutions of a system of parameterized nonlinear equations, math F mathbf u, lambda 0 math The parameter math lambda math is usually a real scalar mathematics scalar , and the solution an n tuple n vector . For a fixed parameter value math lambda, math , math F ast, lambda math maps Euclidean n space into itself. Often the original mapping math F math is from a Banach space into itself, and the Euclidean n space is a finite dimensional approximation to the Banach space. A steady state , or fixed point mathematics fixed point , of a parameterized family of flow mathematics flows or map mathematics ... outside the region of interest. center Numerical continuation A numerical continuation is an algorithm ... Function Theorem. Applications of numerical continuation techniques Numerical continuation ... system as it is more stable than more interactive, time stepped numerical solutions. Especially ... field where the Numerical Continuation techniques have been used to study the advent of turbulence ... toolbox for numerical continuation and bifurcation http www.matcont.ugent.be DDEBIFTOOL Computation .... U. Leuven PyCont A Python toolbox for numerical continuation and bifurcation. Native python algorithms ... of F h 0 References Books B1 Introduction to Numerical Continuation Methods , Eugene L. Allgower and Kurt Georg, SIAM Classics in Applied Mathematics 45. 2003. B2 Numerical Methods for Bifurcations ..., SIAM Journal on Numerical Analysis, Volume 24, Number 2, 452 469, 1987. A2 Simplicial and Continuation ... of an Implicitly Defined Manifold , Eugene L. Allgower and Phillip H. Schmidt, SIAM Journal on Numerical ... R. Wilks, ACM Transactions on Graphics, 9 4 389 423, 1990. A5 Numerical Solution of Bifurcation and Nonlinear ..., 36 6 93 113, 1998. A13 New Algorithm for Two Dimensional Numerical Continuation , R. Melville ... no. 4, pp. 773 794, World Scientific, 1992. Category Numerical analysis Category Dynamical systems ... more details
that amounts to a modified decimal representation . Some advantages are cited for use of numerical ... of 27 upper body locations to represent numbers. To preserve numerical information, Tally marks tallies ... Rod numerals Roman numerals Suzhou numerals References references DEFAULTSORT Numerical Digit Category ... pl Cyfra pt Algarismo ro Cifr ru sah simple Numerical digit sk slica sl tevka ... more details
Notability date May 2009 Infobox album See Wikipedia WikiProject Albums Name Recycled Recipes Type Ep Artist Donavon Frankenreiter Cover RecycledRecipes.jpg Released August 6, 2007 small US small Recorded 2007 Genre Rock music Rock Length 21 33 Label Lost Highway Records Lost Highway Last album Move by Yourself Move by yourself br 2006 This album Recycled Recipes br 2007 Next album Pass It Around br 2008 Recycled Recipes is the title of Donavon Frankenreiter Donavon Frankenreiter s Extended play EP , released on August 6, 2007 see 2007 in music . The album gains its name due to the fact is was recorded in long time friend and bassist Matt Grundy s home kitchen, hence the Recorded at Grundys Kitchen Studios notation inside the front of the album cover. Track listing Wondering Where The Lions Are Bruce Cockburn 3 21 Theologians Wilco 3 19 Such A Night Dr. John 3 30 Fortunate Son Creedence Clearwater Revival 2 40 It Makes No Difference The Band 5 16 Don t Think Twice, It s All Right Bob Dylan 3 27 Category Donavon Frankenreiter albums 2000s alt rock album stub ... more details
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