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Normal number





Encyclopedia results for Normal number

  1. Normal Township

    Normal Township may refer to one of the following Township United States townships in the United States Normal Township, McLean County, Illinois Normal Township, McHenry County, North Dakota See also Normal disambiguation geodis Category Township name disambiguation pages ...   more details



  1. Normal distribution

    that a standard normal random variable X is greater than the number x . Other definitions of the Q ... thumb 250px As the number of discrete events increases, the function begins to resemble a normal ..., the sum of a large number of random variables will have an approximately normal distribution. For example ...About the univariate normal distribution normally distributed vectors Multivariate normal distribution Probability distribution name type density pdf image Image Normal Distribution PDF.svg 350px Probability density function for the normal distribution br small The red curve is the standard normal distribution small cdf image Image Normal Distribution CDF.svg 350px Cumulative distribution function for the normal distribution br notation math mathcal N mu, , sigma 2 math parameters nowrap R mean ... prior Normal distribution In probability theory , the normal or Gaussian distribution is a continuous ... , generalized normal distribution generalized normal , logistic distribution logistic , etc. ref ... sup &thinsp 2 sup 1 is called the standard normal distribution or the unit normal distribution . A normal ... s that cluster around a single mean value. The normal distribution is considered the most prominent ... 2001 p 102 ref First, the normal distribution arises from the central limit theorem , which states that under mild conditions the sum of a large number of random variables drawn from the same distribution .... This gives it exceptionally wide application in, for example, sampling. Secondly, the normal distribution is very tractable analytically, that is, a large number of results involving this distribution can be derived in explicit form. For these reasons, the normal distribution is commonly encountered ... findarticles.com p articles mi g2699 is 0002 ai 2699000241 Gale Encyclopedia of Psychology Normal Distribution ... is usually assumed to follow a normal distribution, and the propagation of uncertainty is computed ..., such as the log normal distribution or Pareto distribution . In addition, the probability ...   more details



  1. The New Normal

    Infobox Album See Wikipedia WikiProject Albums Name The New Normal Type Album Artist Cog band Cog Cover CogTheNewNormal.jpg Released April 12, 2005 Recorded September 20 November 5, 2004 Genre Progressive metal , alternative metal , progressive rock Length 73 06 Label Difrnt Music br MGM Distribution Producer Sylvia Massy and Cog Reviews http www.ozmusicproject.net magazine cdreviews.asp?CD 096060 Oz Music Project 4 5 Last album Open Up Cog song Open Up br 2003 This album The New Normal br 2005 Next album Sharing Space br 2008 The New Normal is an album released by Australian progressive rock band Cog band Cog in April, 2005. The album was produced in Weed, California Weed , California by Sylvia Massy , who has worked with artists such as Tool band Tool and Spiderbait . Music videos for the songs My Enemy and Run have being made, and Run was also released as a CD single in August. The New Normal is in many ways a concept album , with the central concept being the oppression and injustice of a consumerist society. The ways in which we can solve these problems are also explored, as are their effects on an individual s state of mind. Another large concept on the album is the need to speak out against these issues hence the image of a megaphone in the front cover of the CD case . The New Normal was made the album of the week on Triple J , and was also nominated for the 2005 J Award . The album peaked at number 19 on the Australian Recording Industry Association s album chart. Radio singles Real Life February 2005 as radio edit My Enemy March 2005 Run August 2005 as radio edit Resonate March 2006 Track listing Real Life 5 56 Anarchy OK 6 22 Silence is Violence 7 39 Resonate 4 31 The Spine 7 11 My Enemy 3 33 Run Cog song Run 5 08 The River Song 7 39 Charades 3 59 Doors Now & Then My Life Feels Like It s Going Nowhere 10 14 Naming the Elephant 10 46 Personnel Flynn Gower Singing ... pre production Daniel Parkinson album design Andrzej Liguz group photography DEFAULTSORT New Normal ...   more details



  1. Normal morphism

    In category theory and its applications to mathematics , a normal monomorphism or conormal epimorphism is a particularly well behaved type of morphism . A normal category is a category in which every monomorphism is normal. A conormal category is one in which every epimorphism is conormal. Definition A monomorphism is normal if it is the kernel category theory kernel of some morphism, and an epimorphism is conormal if it is the cokernel category theory cokernel of some morphism. A category C is binormal if it s both normal and conormal. But note that some authors will use only the word normal to indicate that C is actually binormal. Citation needed date January 2010 Examples In the category of groups , a monomorphism f from H to G is normal if and only if its image is a normal subgroup of G . In particular, if H is a subgroup of G , then the inclusion map i from H to G is a monomorphism, and will be normal if and only if H is a normal subgroup of G . In fact, this is the origin of the term normal for monomorphisms. Citation needed date January 2010 On the other hand, every epimorphism in the category of groups is normal since it is the cokernel of its own kernel , so this category is conormal. In an abelian category , every monomorphism is the kernel of its cokernel, and every epimorphism is the cokernel of its kernel. Thus, abelian categories are always binormal. The category of abelian group s is the fundamental example of an abelian category, and accordingly every subgroup of an abelian group is a normal subgroup. References Section I.14 Mitchell TOC DEFAULTSORT Normal Morphism Category Morphisms nl Normaal morfisme zh ...   more details



  1. Normal map

    Normal map may refer to Normal mapping in 3D computer graphics Normal invariants in mathematical surgery theory Normal matrix in linear algebra Normal operator in functional analysis disambig Short pages monitor This long comment was added to the page to prevent it being listed on Special Shortpages. It and the accompanying monitoring template were generated via Template Longcomment. Please do not remove the monitor template without removing the comment as well. ...   more details



  1. Normal balance

    Normal balance is the accounting classification of an account. It is part of double entry book keeping technique. An account has either credit finance credit Abbrev. CR or debit Abbrev. DR normal balance. To increase the value of an account with normal balance of credit, one would credit the account. To increase the value of an account with normal balance of debit, one would likewise debit the account. The fundamental accounting equation is the following Asset liability financial accounting Liability Owner s equity The account on left side of this equation has a normal balance of debit. The accounts on right side of this equation have a normal balance of credit. The normal balance of all other accounts are derived from their relationship with these three accounts. Normal balance of common accounts Asset Debit Liability Credit Owner s Equity Credit Revenue Credit Expense Debit Retained earnings Retained Earnings Credit Dividend Debit Category Generally Accepted Accounting Principles id Saldo normal ...   more details



  1. Normal crossings

    In algebraic geometry normal crossings is the property of intersecting geometric objects to do it in a transversal way. Normal crossing divisors In algebraic geometry , normal crossing divisors are a class of Divisor algebraic geometry divisors which generalize the smooth divisors. Intuitively they cross only in a transversal way. Let A be an algebraic variety , and math Z cup i Z i math a Divisor algebraic geometry reduced Cartier divisor , with math Z i math its irreducible components. Then Z is called a smooth normal crossing divisor if either i A is a algebraic curve curve , or ii all math Z i math are smooth, and for each component math Z k math , math Z Z k Z k math is a smooth normal crossing divisor. Equivalently, one says that a reduced divisor has normal crossings if each point tale topology tale locally looks like the intersection of coordinate hyperplanes. Normal crossings singularity In algebraic geometry a normal crossings singularity is a point in an algebraic variety that is locally isomorphic to a normal crossings divisor. Simple normal crossings singularity In algebraic geometry a simple normal crossings singularity is a point in an algebraic variety , the latter having smooth irreducible component irreducible components , that is locally isomorphic to a normal crossings divisor. Examples The normal crossing points in the algebraic variety called the Whitney umbrella are not simple normal crossings singularities. The origin in the algebraic variety defined by math xy 0 math is a simple normal crossings singularity. The variety itself, seen as a subvariety of the two dimensional Cartesian coordinate system affine plane is an example of a normal crossings divisor. References Robert Lazarsfeld, Positivity in algebraic geometry , Springer Verlag, Berlin, 1994. Category Algebraic geometry Category Geometry of divisors ...   more details



  1. Normal plane

    A normal plane may refer to The plane perpendicular to the tangent vector of a space curve see Frenet Serret formulas . A term involving gears see list of gear nomenclature . See also Normal bundle Disambig ...   more details



  1. Normal surface

    In mathematics , a normal surface is a surface inside a triangulated 3 manifold that intersects each tetrahedron so that each component of intersection is a triangle or a quad see figure . A triangle cuts off a vertex of the tetrahedron while a quad separates pairs of vertices. A normal surface may have many components of intersection, called normal disks , with one tetrahedron, but no two normal disks can be quads that separate different pairs of vertices since that would lead to the surface self intersecting. Image Normal surface.png 300px center thumb A normal surface intersects a tetrahedron in possibly many triangles see above left and quads see above right Dually, a normal surface can be considered to be a surface that intersects each handle of a given handle structure on the 3 manifold in a prescribed manner similar to the above. The concept of normal surface can be generalized to arbitrary polyhedra. There is also a related notion of almost normal surface . The concept of normal surface is due to Hellmuth Kneser , who utilized it in his proof of the prime decomposition 3 manifold prime decomposition theorem for 3 manifolds. Later Wolfgang Haken extended and refined the notion to create normal surface theory , which is at the basis of many of the algorithms in 3 manifold theory. The notion of almost normal surfaces is due to Hyam Rubinstein. Regina program Regina is software which enumerates normal and almost normal surfaces in triangulated 3 manifolds, implementing Rubinstein s 3 sphere recognition algorithm, among other things. References Hempel, 3 manifolds , American Mathematical Society, ISBN 0 8218 3695 1 Jaco, Lectures on three manifold topology , American Mathematical Society, ISBN 0 8218 1693 4 Hatcher, Notes on basic 3 manifold topology , http www.math.cornell.edu hatcher 3M 3Mdownloads.html available online R. H. Bing, The Geometric Topology of 3 Manifolds ... 8218 1040 5. Category 3 manifolds it Superficie normale pt Superf cie normal ...   more details



  1. Normal order

    operators , is usually said to be normal ordered also called Wick order when all creation ... into normal order is called normal ordering also called Wick ordering . The terms antinormal order ... of the creation operators. Normal ordering of a product quantum fields or creation and annihilation ... uses the most common definition of normal ordering, that given above, which is appropriate when ... of normal ordering is particularly important for a quantum mechanics quantum mechanical Hamiltonian ... state energy . Notation If math hat O math denotes an arbitrary operator, then the normal ... which satisfy Bose Einstein statistics . We will now examine the normal ordering of bosonic creation ... case first. This is the normal ordering of math hat b dagger hat b math math hat b dagger , hat b , hat ... it is already in normal order the creation operator math hat b dagger math is already to the left of the annihilation operator math hat b math . 2. A more interesting example is the normal ordering of math hat b , hat b dagger math math hat b , hat b dagger , hat b dagger , hat b . math Here the normal ... example shows how we can normal order functions of operators by expanding them out in a Series mathematics series and normal ordering each term math exp lambda hat a dagger hat a , sum infty ... Dirac statistics . We will now examine the normal ordering of fermionic creation and annihilation operator ... the normal ordering of a product of fermionic creation and annihilation operators we must take into account the number of Transposition mathematics interchange s between neighbouring operators ... math hat f dagger , hat f , hat f dagger , hat f math This expression is already in normal order so ... s theorem . 2. The normal order of any more complicated cases gives zero because there will be at least ... , hat f i . math When calculating the normal order of products of fermion operators we must take into account the number of Transposition mathematics interchange s of neighbouring operators required ...   more details



  1. Normal Is the Watchword

    notability Episode date March 2011 Infobox television episode Title Normal Is the Watchword Series Veronica Mars Image Caption Season 2 Episode 1 Director John T. Kretchmer John Kretchmer Writer Rob Thomas writer Rob Thomas Teleplay Story Producer Music Photographer Editor Production 2T7201 Airdate Start date 2005 9 28 Length Guests Jeffrey D. Sams Jeffrey Sams as Terrence Cook Alona Tal as Meg Manning Max Greenfield as Leo D Amato Charles Duckworth as Kelvin Moore Krysten Ritter as Gia Goodman Charisma Carpenter as Kendall Casablancas Steve Guttenberg as Woody Goodman Prev Leave It to Beaver Veronica Mars Leave It to Beaver Next Driver Ed Veronica Mars Driver Ed Episode list List of Veronica Mars episodes List of Veronica Mars episodes Normal Is the Watchword is episode 1 of Veronica Mars season 2 season 2 of the television show Veronica Mars . It had an estimated audience size of 3.30 million US viewers on its first airing. ref Cite web work American Broadcasting Company ABC Medianet date October 4, 2005 url http abcmedianet.com web dnr dispDNR.aspx?id 100405 07 title Weekly Program Rankings accessdate July 29, 2008 ref Plot When Wallace Fennel Wallace gets kicked off the basketball team for failing his drug test, Veronica Mars character Veronica starts up with her old hobby investigating. She successfully solves the case her first time back on the job, uncovering a plot by several wealthy parents to get their children starting positions by rigging false positive drug tests for the competition. While doing so, Veronica looks back on how her relationship with Logan Echolls ... trip with a large number of classmates and during a rest stop, is distracted by the ghost of Lilly ... Mars Normal Is the Watchword Normal Is the Watchword IMDb episode 0739535 Tv.com episode 447025 http www.marsinvestigations.net episodes 201 normal is the watchword Normal Is the Watchword at Mars Investigations http www.televisionwithoutpity.com show veronica mars normal is the watchword.php Normal ...   more details



  1. Normal Theater

    Infobox NRHP name Normal Theater image Normal theater.jpg caption The Streamline Moderne, restored Normal Theater in Normal, Illinois. location Normal, Illinois , McLean County, Illinois , United States USA lat degrees 40 lat minutes 30 lat seconds 44 lat direction N long degrees 88 long minutes 59 long seconds 19 long direction W locmapin Illinois built 1937 added July 25, 1997 ref name nris http www.nr.nps.gov nrloc1.htm NRIS Database NRIS dead link date January 2012 , National Register of Historic Places, retrieved October 2006. ref architecture Streamline Moderne Moderne ref name nris refnum 97000818 ref name nris governing body Town of Normal The Normal Theater is a cinema located in the downtown area of Normal, Illinois of the United States of America , which is located in McLean County. The theater closed for a time in the early 1990s but reopened in 1993 after being purchased and renovated by the town of Normal. It has since been in continuous operation, showing a mix of first run and classic films. The building is on the National Register of Historic Places and has been since July 25, 1997. History The Normal Theater opened for operation in November 1937. The Streamline Moderne building was a state of the art cinema at the time which was built to show sound movies in the best comfortable environment. The original commercial operation of the Normal Theater ended in May 1990 after it had been divided into a two screen theater a few years prior. ref name Normal Theater http www.normaltheater.com history.htm Normal Theater History, Normal Theater. ref The Town of Normal purchased the theater and reopened it in 1993 through a community restoration effort. ref http www.normal.org gov parksandrec theater History.asp Normal Theater History , Town of Normal. ref Today theater ... Normal Theater External links http www.normaltheater.com Normal Theater website Notes reflist Registered ... Buildings and structures in Bloomington Normal, Illinois Category Cinemas and movie theaters in Illinois ...   more details



  1. Total Normal

    Expand German topic culture date September 2011 Total Normal Infobox television show name Total Normal image caption format camera runtime creator starring country Germany network Theme first aired last aired num seasons num episodes list episodes Total Normal is a German television series. See also List of German television series External links imdb title id title Total Normal Category German television series Category television series debuts Category television series endings Germany tv prog stub de Total Normal ...   more details



  1. Normal mapping

    No footnotes date February 2010 Image Normal map example.png thumb 350px Normal mapping used to re detail simplified meshes. In 3D computer graphics , normal mapping , or Dot3 bump mapping , is a technique ... of a low poly low polygon model by generating a normal map from a high polygon model. Normal ..., respectively, of the surface normal . History The idea of taking geometric details from ... were presented with key ideas for transferring details with normal maps from high to low polygon meshes ... is dot product dotted with the unit vector normal to that surface, and the result is the intensity ... of the surface. By using a 3 channel bitmap textured across the model, more detailed normal vector ... and Z . These spatial dimensions are relative to a constant coordinate system for object space normal ... to texture coordinates in the case of tangent space normal maps. This adds much more detail to the surface of a model, especially in conjunction with advanced lighting techniques. Since a normal will be used ..., 0, 1 would be remapped to the 128, 128, 255 values, giving that kind of sky blue color seen in normal ... minus sign flipped, because need match normal map normal vector with eye viewpoint or camera vector ... when light vector and normal vector match surface shined with maximum strength . Calculating tangent space Expand section more math date October 2011 In order to find the perturbation in the normal the tangent ... Simulation of Wrinkled Surfaces Revisited , 2008 PDF ref . Most often the normal ... provides a normal and tangent. The tangent is part of the tangent plane and can be transformed simply with the Affine transformation linear part of the matrix the upper 3x3 . However, the normal needs to be transformed by the Surface normal Transforming normals inverse transpose . Most applications ... just like the tangent. Let t be tangent, b be cotangent, n be normal, M sub 3x3 sub be the linear ... M 3x3 1T times V 3x3 1T math Normal mapping in video games Interactive normal map rendering was originally ...   more details



  1. Normal tube

    merge Tubular neighborhood discuss Talk Normal tube Merger proposal date January 2011 In topology , a normal tube to a smooth function smooth curve is a manifold defined as the union of all discs such that all the discs have the same fixed radius the center of each disc lies on the curve and each disc lies in a plane orthogonality normal to the curve where the curve passes through that disc s center. Category Topology Topology stub ...   more details



  1. New Normal

    New Normal may refer to New Normal Music , internet radio station The New Normal , album disambiguation 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



  1. Normal school

    south of the Ohio River . A normal school is a school created to train high school graduates to be teachers ... are now called teachers colleges however, in some places, the term normal school is still used ... , founded what is generally considered the first normal school, the cole Normale , in Reims . According to the Oxford English Dictionary , normal schools in the United States and Canada trained Primary education primary school teachers, while in Europe , normal schools educated primary, Secondary ... title Oxford English Dictionary accessdate 2007 12 11 ref The first public normal school in the United ... State University . In the United States, teacher colleges or normal schools began to call themselves ... as Southern Illinois Normal College. The university enrolls more than 26,000 students and has its ... famous state universities, such as the University of California, Los Angeles were founded as normal ... four years of prior undergraduate studies. History The term normal school originated in the early ... primary or secondary. Reference necessary date April 2011 In Europe In Finland, normal schools ... in normal schools and teach while being supervised by a senior teacher. In France , a two tier system ... of such schools in China since the early 20th century, Beijing Normal University being the first. A Chinese normal university zh c p sh f n d xu , abbreviated sh d is usually controlled by the national or provincial government. In Taiwan, the four national normal universities located in National Taiwan Normal University Taipei , National Taichung University Taichung , National Changhua University of Education Changhua , and National Kaohsiung Normal University Kaohsiung prepared ... xu yu n , abbreviated sh yu n, literally normal colleges that originated as normal schools Taiwan ... , they were renamed provincial normal schools before becoming provincial teachers colleges. In the early .... In Naga City , the Philippines, one can find the oldest normal school for girls in the Far ...   more details



  1. Normal, Alabama

    Normal, Alabama is the site of Alabama A&M Alabama Agricultural and Mechanical University . AAMU is situated in the city limits and northern part of Huntsville, Alabama , United States USA in Madison county. Normal was established in 1890, when AAMU was then known as State Normal and Industrial School of Huntsville . It was also designated a land grant college of Alabama . At that time student enrollment was 300 with 11 teachers. That same year, a United States Post Office was established there. Normal s ZIP Code is 35762. Students were called Normalites . References http www.aamu.edu PR pr.htm AAMU Public Relations Office coord 34 47 20 N 86 34 19 W type city region US AL display title Category Geography of Madison County, Alabama Category Geography of Huntsville, Alabama Category Populated places established in 1890 ht Normal Alabama vo Normal Alabama ...   more details



  1. Normal conditions

    Orphan date February 2009 This article is about the philosophical argument for normal conditions in the sense of standards see the corresponding articles, e.g. Standard conditions for temperature and pressure . Normal conditions are a restriction on Philosophy philosophical arguments, especially in epistemology , in order to avoid objections perceived as digressive. As a reply to objections to an explanation of a phenomenon , e.g. a hypothesis or a theory , it is said, argument X holds only under normal conditions. In some cases, the concept of normal conditions tends to be rather blurred and the reply under normal conditions can tend to extend to everything that contradicts an argument. In cases, when the argument of normal conditions comes too often, according to the principle of Occam s Razor another explanation X has to be found. References http www.philosophy.ox.ac.uk conferences graduate 2000 2001 Abstracts.shtml Abstract of a conference talk See also scientific revolution Category Philosophy of science philosophy stub ...   more details



  1. Normal force

    refimprove date March 2011 Image Incline.svg right thumb F sub N sub represents the normal force In mechanics , the normal force math F n math occasionally N is the component, perpendicular to the surface ..., preventing the object from penetrating the surface. The normal force is one of the components ... on the ground, in which case the ground reaction force reduces to the normal force. In another common situation, if an object hits a surface with some speed, and the surface can withstand it, the normal ... Friction.png thumb widthpx Weight W , the frictional force F sub r sub , and the normal force F ... resting upon a table, the normal force on the object is equal but in opposite direction to the gravitational ... on Earth . The normal force here represents the force applied by the table against the object that prevents it from sinking through the table, and requires that the table is sturdy enough to deliver this normal force without breaking. Where an object rests on an incline, the normal force is perpendicular to the plane the object rests on. Still, the normal force will be as large as necessary to prevent ... can be calculated as math N mg cos theta math where N is the normal force, m is the mass of the object ... the horizontal. The normal force is one of several forces which act on the object. In the simple situations ... . Using vectors In general, the magnitude of the normal force, N , is the projection of the net surface interaction force, T , in the normal direction, n , and so the normal force Euclidean vector vector can be found by scaling the normal direction by the net surface interaction force. The surface interaction force, in turn, is equal to the dot product of the unit normal with the Stress ... stationary or moving at constant velocity, the normal force on the person s feet balances the person s weight. In an elevator that is accelerating upward, the normal force is greater than the person ... that is accelerating downward, the normal force is less than the person s ground weight ...   more details



  1. Normal backwardation

    arises naturally as normal backwardation from the fact that producers of commodities are more ... a certain exchange set percentage. The price differential and number of contracts to be lent is determined ... 2010 Normal backwardation vs. backwardation The term backwardation , when used without the qualifier normal , can be somewhat ambiguous. Although sometimes used as a synonym for normal backwardation ... and Stock Market . Derivatives market DEFAULTSORT Normal Backwardation Category Derivatives finance ...   more details



  1. Vertex normal

    Unreferenced stub auto yes date December 2009 In the geometry of computer graphics , a vertex normal at a vertex geometry vertex of a polyhedron is the unit vector normalized average of the surface normal s of the face geometry faces that contain that vertex. The weighted average average can be weighted for example by the area of the face or it can be unweighted. Vertex normals are used in Gouraud shading , Phong shading and other lighting model s. This produces much smoother results than flat shading however, without some modifications, it cannot produce a sharp edge. See also Specular highlight Per pixel lighting DEFAULTSORT Vertex Normal Category Shading Compu graphics stub th Vertex normal ...   more details



  1. Normal operator

    Refimprove date June 2011 In mathematics , especially functional analysis , a normal operator on a complex ... N ,N N N. math Normal operators are important because the spectral theorem holds for them. Today, the class of normal operators is well understood. Examples of normal operators are unitary operator ... operator s math N N N 2 math Normal matrix normal matrices can be seen as normal operators if one takes the Hilbert space to be math C n math . Properties Normal operators are characterized by the spectral theorem . A Compact operator on Hilbert space compact normal operator in particular, a normal operator on a finite dimensional linear space is diagonalizable. Let T be a bounded operator. The following are equivalent. T is normal. T is normal. Tx T x for all x use math Tx 2 langle T Tx ... of, e.g., quantum field theory , they don t commute ref . If N is a normal operator, then N and N .... Put in another way, the kernel of a normal operator is the orthogonal complement of its range thus ... . Every generalized eigenvalue of a normal operator is thus genuine. math lambda math is an eigenvalue of a normal operator N if and only if its complex conjugate math overline lambda math is an eigenvalue of math N . math Eigenvectors of a normal operator corresponding to different eigenvalues are orthogonal ...?id t3SXs4 KrE0C&dq naylor sell linear ref This implies the usual spectral theorem every normal operator ... dimensional generalization in terms of projection valued measures . Residual spectrum of a normal operator is empty. ref name Naylor The product of normal operators that commute is again normal this is nontrivial ... If math N 1 math and math N 2 math are normal operators and if A is a bounded linear operator such that math N 1 A A N 2 math , then math N 1 A A N 2 math . The operator norm of a normal operator equals its numerical radius and spectral radius . A normal operator coincides with its Aluthge transform . Properties in finite dimensional case If a normal operator math T math on a finite dimensional real ...   more details



  1. Normal score

    The term normal score is used with two different meanings in statistics . One of them relates to creating a single value which can be treated as if it had arisen from a standard zero mean, unit variance normal distribution . The second relates to assigning alternative values to data points within a dataset, with the broad intention of creating data values than can be interpreted as being approximations for values that might have been observed had the data arisen from a standard normal distribution. The first meaning is as an alternative name for the standard score or z score , where values are standardised by subtracting the sample or estimated mean and dividing by the sample or other estimate of the standard deviation. Particularly in applications where the name normal score is used, there is usually a presumption that the value can be referred to a table of standard normal probabilities as a means of providing an informal significance test of some hypothesis, such as a difference in means. The second meaning of normal score is associated with data values derived from the ranking rank s of the observations within the dataset. A given data point is assigned a value which is either exactly, or an approximation, to the expectation of the order statistic of the same rank in a sample of standard normal random variable s of the same size as the observed data set. ref Everitt, B.S. 2002 The Cambridge Dictionary of Statistics 2nd Edition . Cambridge University Press. ISBN 052181099x ref Thus the meaning of a normal score of this type is essentially the same as a rankit , although the term rankit is becoming obsolete. In this case the transformation creates a set of values which is matched in a certain way to what would be expected had the original set of data values arisen from a normal distribution. See also Normal probability plot Q Q plot References references Category Data analysis Category Non parametric statistics ...   more details



  1. Normal good

    In economics , normal goods are any Good economics good s for which Demand economics demand increases when income increases and falls when income decreases but price remains constant, i.e. with a positive income elasticity of demand . ref http www.businessdictionary.com definition normal good.html ref ref http www.economist.com research economics alphabetic.cfm?letter N normalgoods The Economist Normal goods ref The term does not necessarily refer to the quality of the good, but an abnormal good would clearly not be in demand, except for possibly lower socioeconomic groups. Depending on the indifference curve s, the amount of a good bought can either increase, decrease, or stay the same when income increases. In the diagram below, good Y is a normal good since the amount purchased increases from Y1 to Y2 as the budget constraint shifts from BC1 to the higher income BC2. Good X is an inferior good since the amount bought decreases from X1 to X2 as income increases. Examples include Holidays, Cars, diamonds, branded fashions, hi tech products etc. Image inferior good.png example of a normal good and an inferior good See also Consumer theory Inferior good Superior good References Reflist Goodtypes econ stub Category Goods cs Norm ln statek es Bien normal id Barang normal lt Normalios prek s pl Dobra normalne pt Bem normal sk Norm lny statok sv Normal vara th vi H ng h a th ng th ng zh ...   more details




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