A pseudoEuclideanspace is a finite dimension al real number real vector space together with a degenerate form non degenerate definite bilinear form indefinite quadratic form . Such a quadratic form can, after a change of coordinates, be written as math q x left x 1 2 cdots x k 2 right left x k 1 2 cdots x n 2 right , math where x x sub 1 sub , ..., x sub n sub , n is the dimension of the space, and 1 &le k n . For true Euclideanspace s one has k n , so the quadratic form is positive definite, rather than indefinite. A very important pseudoEuclideanspace is Minkowski space , which is the mathematical setting in which Albert Einstein s theory of special relativity is conveniently formulated. For Minkowski space, n 4 and k 3 so that math q x x 1 2 x 2 2 x 3 2 x 4 2, math The geometry associated with this pseudo ... properties of Euclideanspace. For example a straight line may be perpendicular to itself. Another pseudoEuclideanspace is the plane z x y j consisting of split ... of a vector x in the space is defined as q x . In a pseudoEuclideanspace, unlike in a Euclideanspace, there exist non zero vectors with zero magnitude, and also vectors with negative magnitude. Associated with the quadratic form q is the pseudoEuclidean inner product math langle x, y ... is symmetric, but not positive definite, so it is not a true inner product . Whereas Euclideanspace has a unit sphere , pseudoEuclideanspace has the hypersurface s x q x ... group . See also Pseudo Riemannian manifold References Poincar , Science and Hypothesis 1906 referred to in the book B.A. Rosenfeld, A History of Non Euclidean Geometry Springer 1988 English translation ..., Hilbert space, and differential geometry publisher Cambridge University Press date 2004 pages ... pseudo euclidien nl Pseudo Euclidische ruimte ru uk ... more details
by the flat pseudoEuclideanspace called Minkowski space , spacetimes with matter in them ...Image Coord system CA 0.svg thumb right 250px Every point in three dimensional Euclideanspace is determined by three coordinates. In mathematics , Euclideanspace is the Euclidean plane and three dimensional space of Euclidean geometry , as well as the generalizations of these notions to higher dimension s. The term Euclidean distinguishes these spaces from the curved space s of non Euclidean geometry ... geometry Greek geometry defined the Euclidean plane and Euclidean three dimensional space using certain ... mathematics, it is more common to define Euclideanspace using Cartesian coordinates and the ideas ... dimension s. From the modern viewpoint, there is essentially only one Euclideanspace of each dimension ... geometry point in Euclideanspace is a tuple of real numbers, and distances are defined using the Euclidean distance Euclidean distance formula . Mathematicians often denote the n dimensional space n dimensional Euclideanspace by math mathbb R n math , or sometimes math mathbb E n math if they wish ... vector s in the vector space correspond to the points of the Euclidean plane, the addition operation ... Euclideanspace is more than just a real coordinate space. In order to apply Euclidean geometry ... with this Euclidean structure is called Euclideanspace and often denoted E sup n sup . Many authors refer to R sup n sup itself as Euclideanspace, with the Euclidean structure being understood . The Euclidean ... space , and a metric space . Rotations of Euclideanspace are then defined as orientation mathematics ... . Topology of Euclideanspace Since Euclideanspace is a metric space it is also a topological space ... is a Hausdorff space Hausdorff topological space that is locally diffeomorphic to Euclideanspace. Diffeomorphism ..., a Riemannian manifold is a space constructed by deforming and patching together Euclidean spaces ... product, is essentially identical to Euclidean n space itself. If one alters a Euclideanspace so ... more details
In EuclideanSpace Category Euclidean symmetries Category Group theory ... rotation about the translated axis, etc. Thus the conjugacy class within the Euclidean group E 3 ... more details
. DEFAULTSORT Fixed Points Of Isometry Groups In EuclideanSpace Category Euclidean symmetries ... in two dimensions with respect to any point leave that point fixed. 3D Space Only the trivial isometry group C sub 1 sub leaves the whole space fixed. Plane C sub s sub with respect to a plane leaves ... more details
Euclidean or, less commonly, Euclidian relates to Euclid an ancient Greek mathematician , a town or others. It may refer to Geometry Euclideanspace , the two dimensional plane and three dimensional space of Euclidean geometry as well as their higher dimensional generalizations. Euclidean geometry , the study of the properties of Euclidean spaces Non Euclidean geometry , systems of points, lines, and planes analogous to Euclidean geometry but without uniquely determined parallel lines Euclidean distance , the distance between pairs of points in Euclidean spaces Euclidean ball , the set of points within some fixed distance from a center point Number theory Euclidean algorithm , a method for finding greatest common divisors Extended Euclidean algorithm , a method for solving the Diophantine equation ax by d where d is the greatest common divisor of a and b . Euclidean domain , a system of numbers or values with properties similar enough to those of the integers to allow the extended Euclidean algorithm to work Other Euclidean relation , a property of binary relations related to transitivity Euclidean distance map , a digital image in which each pixel value represents the Euclidean distance to an obstacle Euclidean zoning , a system of land use management modeled after the zoning code of Euclid, Ohio See also Euclid s Elements Euclid s Elements , a 13 book mathematical treatise written by Euclid, that includes both geometry and number theory The Euclidean division of the Intermediate Math League of Eastern Massachusetts disambig Category Mathematical disambiguation ... more details
wiktionary pseudo The prefix pseudo from Greek lying, false is used to mark something as falsity false , fraud ulent, or pretending to be something it is not. See also lookfrom pseudo Falsehood Deception Mimicry Pseudo.com Category Greek loanwords da Pseudo nl Pseudo ru sk Pseudo ... more details
. By using this formula as distance, Euclideanspace or even any inner product space becomes a metric space . The associated Norm mathematics norm is called the Norm mathematics Euclidean norm Euclidean norm . Older literature refers to the metric as Pythagorean metric . Definition The Euclidean distance ... in EuclideanspaceEuclidean n space , then the distance from p to q , or from q to p is given by NumBlk ... q n p n 2 sqrt sum i 1 n q i p i 2 . math EquationRef 1 The position of a point in a Euclidean n space is a Euclidean vector . So, p and q are Euclidean vectors, starting from the origin of the space, and their tips indicate two points. The Euclidean norm , or Euclidean length , or magnitude of a vector ... line segment from the Origin mathematics origin of the Euclideanspace vector tail , to a point in that space vector tip . If we consider that its length is actually the distance from its tail to its tip, it becomes clear that the Euclidean norm of a vector is just a special case of Euclidean distance the Euclidean distance between its tail and its tip. The distance between points p and q ... Three dimensions In three dimensional Euclideanspace, the distance is math d p, q sqrt p 1 q 1 2 p 2 q 2 2 p 3 q 3 2 . math N dimensions In general, for an n dimensional space, the distance is math d p, q, ..., i, ..., n sqrt p 1 q 1 2 p 2 q 2 2 ... p i q i 2 ... p n q n 2 . math Squared Euclidean Distance You may want to square the standard Euclidean distance in order to place progressively greater ...In mathematics , the Euclidean distance or Euclidean metric is the ordinary distance between two points ... q mathbf p q 1 p 1, q 2 p 2, cdots, q n p n math In a three dimensional space n 3 , this is an arrow ... of time. The Euclidean distance between p and q is just the Euclidean length of this distance ..., which is the Euclidean distance. In higher dimensions there are other possible norms. Two dimensions In the Euclidean plane , if p p sub 1 sub , p sub 2 sub and q ... more details
In mathematics and especially algebraic topology and homology theory , a Euclidean simplex is a special type of convex set in Euclideanspace . It generalises the idea of a triangle, and is used for Triangulation topology triangulation s. Definition Image Tetrahedron.svg thumb 175px A Euclidean 3 simplex in E sup 3 sup . Let nowrap 1 y sub 0 sub , y sub 1 sub , &hellip , y sub k sub be linearly independent points in Euclidean n space, denoted E sup n sup . Let S be a subset of E sup n sup given by math S left sum i 0 k lambda i bold y i lambda i ge 0 text and sum j 0 k lambda j 1 right . math The set mathematics set S is called a Euclidean k simplex with vertices nowrap 1 y sub 0 sub , y sub 1 sub , &hellip , y sub k sub , and is often denoted as nowrap 1 nowiki nowiki y sub 0 sub , y sub 1 sub , &hellip , y sub k sub nowiki nowiki . Given a point nowrap 1 y in S , the sub i sub give Barycentric coordinate system mathematics barycentric coordinate s on S . ref name ABC Citation first .... year Jan 2009 ISBN 0486462390 ref Examples A Euclidean 0 simplex is a point mathematics point . A Euclidean 1 simplex is a line segment . A Euclidean 2 simplex is a triangle . A Euclidean 3 simplex is a tetrahedron . Standard Euclidean simplex The standard Euclidean k simplex , denoted by sub ... with vertices 1,0,0,0 , 0,1,0,0 , 0,0,1,0 and 0,0,0,1 in E sup 4 sup . Faces Given a Euclidean k simplex nowrap 1 nowiki nowiki y sub 0 sub , y sub 1 sub , &hellip , y sub k sub nowiki nowiki , the Euclidean ... , y sub 1 sub , &hellip , y sub p sub nowiki nowiki . ref name ABC A Euclidean k simplex has faces ... face is the k simplex itself. Examples Consider the standard Euclidean 3 simplex sub 3 sub . The 0 ... face is a 2 dimensional face namely the non standard Euclidean 2 simplex given by the triangle ... face is a 1 dimensional face namely the non standard Euclidean 1 simplex given by the line ... , 0,1,0,0 and 0,0,1,0 . The opposite face is a 0 dimensional face namely the non standard Euclidean ... more details
of isometry groups in EuclideanspaceEuclidean plane isometry Poincar group Coordinate rotations ...Unreferenced date December 2009 In mathematics , the Euclidean group E n , sometimes called ISO n or similar, is the symmetry group of n dimensional Euclideanspace . Its elements, the isometry isometries associated with the Euclidean Metric mathematics metric , are called Euclidean moves . These group ... s, which together generate E sup sup n . E sup sup n is also called a special Euclidean group ... isometry. The Euclidean group for n 3 is used for the kinematics of a rigid body , in classical mechanics . A rigid body motion is in effect the same as a curve in the Euclidean group. Starting ... orientation by a Euclidean motion, say f t . Setting t 0, we have f 0 I , the identity ... cannot jump from 1 to &minus 1. The Euclidean groups are not only topological group s, they are Lie ... group The Euclidean group E n is a subgroup of the affine group for n dimensions, and in such a way ... of Felix Klein s Erlangen programme , we read off from this that Euclidean geometry , the geometry of the Euclidean group of symmetries, is therefore a specialisation of affine geometry . All affine theorems apply. The extra factor in Euclidean geometry is the notion of distance , from ... The Euclidean group is a subgroup of the group of affine transformation s. It has as subgroups ... under the isometries is topologically discrete space discrete . E.g. for 1 m n a group generated ... group lattice s. Examples more general than those are the discrete space group s. Countably infinite ... the whole Euclidean group E n one of these groups in an m dimensional subspace combined with a discrete group of isometries in the orthogonal n m dimensional space one of these groups in an m dimensional subspace combined with another one in the orthogonal n m dimensional space Examples in 3D of combinations ... 3 See also Euclidean plane isometry . E 3 6 E sup sup 3 identity 0 translation 3 rotation about an axis ... more details
In mathematics, and especially general topology , the Euclidean topology is an example of a topology given to the set of real number s, denoted by R . To give the set R a topology means to say which subset s of R are open , and to do so in a way that the following axiom s are met ref name CEIT Citation first L. A. last Steen first2 J. A. last2 Seebach title Counterexamples in Topology publisher Dover year 1995 ISBN 048668735X ref The union mathematics union of open sets is an open set. The finite intersection mathematics intersection of open sets is an open set. The set R and the empty set are open sets. Construction The set R and the empty set are required to be open sets, and so we define R and to be open sets in this topology. Given two real numbers, say x and y , with nowrap 1 x y we define an uncountably infinite family of open sets denoted by S sub x , y sub as follows ref name CEIT math S x,y r in bold R x r y . math Along with the set R and the empty set , the sets S sub x , y sub with nowrap 1 x y are used as a basis topology basis for the Euclidean topology. In other words, the open sets of the Euclidean topology are given by the set R , the empty set and the unions and finite intersections of various sets S sub x , y sub for different pairs of x , y . Properties The real line, with this topology, is a T5 space T sub 5 sub space . Given two subsets, say A and B , of R with nowrap 1 font style text decoration overline A font B A font style text decoration overline B font , where font style text decoration overline A font denotes the closure topology closure of A , etc., there exist open sets S sub A sub and S sub B sub with nowrap 1 A S sub A sub and nowrap 1 B S sub B sub such that nowrap 1 S sub A sub S sub B sub . ref name CEIT References Reflist Category Topology es Topolog a euclideana nl Euclidische topologie ... more details
For algebraic number fields whose ring of integers has a Euclidean algorithm Euclidean domain In mathematics , a Euclidean field is an ordered field K for which every non negative element is a square that is, x 0 in K implies that x y sup 2 sup for some y in K . Properties Every Euclidean field is an ordered Pythagorean field , but the converse is not true. Examples The real number s R with the usual operations and ordering form a Euclidean field. The field of real algebraic numbers math mathbb R cap mathbb overline Q math is an Euclidean field. The field of hyperreal number s is an Euclidean field. Counterexamples The rational number s Q with the usual operations and ordering do not form a Euclidean field. For example, 2 is not a square in Q since the square root of 2 is irrational number irrational . The complex number s C do not form a Euclidean field since they cannot be given the structure of an ordered field. External links PlanetMath urlname EuclideanField title Euclidean Field References Refimprove date August 2007 Category Field theory he ... more details
s theory of general relativity is that Euclideanspace is a good approximation to the properties of physical space only where the gravity gravitational field is not too strong. ref Misner, Thorne, and Wheeler ... r , s is then known as the Euclidean metric space metric , and other metrics define non Euclidean geometry ... of Euclidean geometry as a description of physical space. In a 1919 test of the general theory ..., from The School of Athens by Raphael . Euclidean geometry is a mathematical system attributed to the Alexandria ... in geometrical language. ref Eves, p. 19 ref For over two thousand years, the adjective Euclidean was unnecessary .... Today, however, many other self consistent non Euclidean geometry non Euclidean geometries are known ... inevitably must intersect each other on that side if extended far enough. Axioms Euclidean geometry ... title Introduction to Non Euclidean Geometry author Harold E. Wolfe url http books.google.com books .... Methods of proof Euclidean geometry is Constructive proof constructive . Postulates 1, 2, 3, and 5 ... . ref Ball, p. 56 ref In this sense, Euclidean geometry is more concrete than many modern axiomatic ... defined within the formal system, rather than instances of those objects. For example a Euclidean ... by contradiction . Euclidean geometry also allows the method of superposition, in which a figure is transferred to another point in space. For example, proposition I.4, side angle side congruence of triangles .... ref Coxeter, p. 5 ref System of measurement and arithmetic Euclidean geometry has two ... as the unit, and other distances are expressed in relation to it. A line in Euclidean geometry ... of Euclidean geometry s fundamental status in mathematics, it would be impossible to give more than ... from Euclidean geometry, such as the right angle property of the 3 4 5 triangle, were used long before ... in Euclidean geometry are distances and angles, and both of these quantities can be measured ... , and angles using graduated circles and, later, the theodolite . An application of Euclidean ... more details
unreferenced date June 2007 In mathematics , a binary relation R on a set mathematics set X is Euclidean sometimes called right Euclidean if it satisfies the following for every a , b , c in X , if a is related to b and c , then b is related to c . To write this in predicate logic math forall a, b, c in X , a ,R , b land a ,R , c to b ,R , c . math Dually, a relation R on X is left Euclidean if for every a , b , c in X , if a is related to b and c , then b is related to c math forall a, b, c in X , b ,R , a land c ,R , a to b ,R , c . math The property of being Euclidean is different from transitive relation transitivity . However, if a relation is symmetric relation symmetric , then it is Euclidean if and only if it is transitive. If a relation is Euclidean and reflexive, it is also symmetric and transitive, hence it is an equivalence relation . Consequently, equivalence relations are exactly the reflexive Euclidean relations. Category Mathematical relations Category Euclid Relation ... more details
In mathematics , more specifically in abstract algebra and ring theory , a Euclidean domain also called a Euclidean ring is a Ring mathematics ring that can be endowed with a certain structure &ndash namely a Euclidean function, to be described in detail below &ndash which allows a suitable generalization of the Euclidean algorithm . This generalized Euclidean algorithm can be put to many of the same uses as Euclid s original algorithm in the ring of integer s in any Euclidean domain, one can apply the Euclidean algorithm to compute the greatest common divisor of any two elements. In particular ... of them B zout identity . Also every ideal in a Euclidean domain is principal ideal principal , which implies a suitable generalization of the Fundamental Theorem of Arithmetic every Euclidean domain is a unique factorization domain . It is important to compare the class of Euclidean domains with the larger ... of a Euclidean domain or, indeed, even of the ring of integers , but knowing an explicit Euclidean ... that the integers and any polynomial ring in one variable over a field are Euclidean domains with respect to easily computable Euclidean functions is of basic importance in computational algebra. So, given an integral domain R , it is often very useful to know that R has a Euclidean function in particular, this implies that R is a PID. However, if there is no obvious Euclidean function, then determining whether R is a PID is generally a much easier problem than determining whether it is a Euclidean domain. Euclidean domains appear in the following chain of subclass set theory class inclusions ... ideal domain s Euclidean domains field mathematics field s Motivation Consider the set of integer ... theory ordering of some sort defined on the ring. This leads to the concept of a Euclidean domain ... b , we may lift this to r 0 or d r d b . The essential idea behind a Euclidean domain is a ring, any ... purposes, and in particular for the purpose that the Euclidean algorithm should hold ... more details
laws qualify EuclideanspaceEuclidean vectors as an example of the more generalized concept of vectors defined simply as elements of a vector space . Vectors play an important role in physics velocity ... is defined as a directed line segment, or arrow, in a Euclideanspace. When it becomes necessary to distinguish it from vectors Vector space as defined elsewhere , this is sometimes referred to as a geometric , spatial , or Euclidean vector. As an arrow in Euclideanspace, a vector possesses a definite ... A B math in space represent the same free vector if they have the same magnitude and direction that is, they are equivalent if the quadrilateral ABB A is a parallelogram . If the Euclideanspace is equipped ... dimensional Euclideanspace can be represented in a Cartesian coordinate system . The endpoint ... dimensional Euclideanspace or math mathbb R 3 math , vectors are identified with triples of scalar ... for example, from 1 to 3 in 3 dimensional Euclideanspace, from 0 to 3 in 4 dimensional spacetime ... , a non Euclidean vector in Minkowski space i.e. four dimensional spacetime , important in theory ... In elementary mathematics , physics , and engineering , a Euclidean vector sometimes called a geometric ... a vector is a geometric object that has both a Magnitude mathematics magnitude or euclidean norm length and direction. A Euclidean vector is frequently represented by a line segment with a definite ... at each point of a physical space that is, a vector field . In Cartesian space In the Cartesian ... and terminal point. For instance, the points A 1,0,0 and B 0,1,0 in space determine the free vector ... 4 &minus 1, 2, 7 . nowrap end Euclidean and affine vectors In the geometrical and physical settings ... supplies an algebraic characterization of the area and orientation geometry orientation in space of the parallelogram ... of spatial vector is the subject of vector space s for bound vectors and affine space s for free vectors . An important example is Minkowski space that is important to our understanding of special relativity ... more details
Euclideanspace that passes through the origin. Examples of subspaces include the solution set to a homogeneous system of linear equations , the subset of Euclideanspace described by a system ... 2005. ref In abstract linear algebra, Euclidean subspaces are important examples of vector space s. In this context, a Euclidean subspace is simply a linear subspace of a Euclideanspace. Note on vectors ..., we regard vectors with n components as point mathematics points in an n dimensional space. That is, we identify the set R sup n sup with n dimensional Euclideanspace . Any subset of R sup n sup ... Euclideanspace sitting in n dimensions. For example, there are four different types of subspaces ... coordinate system R sup 2 sup . In linear algebra , a Euclidean subspace or subspace of R sup ... space , column space , and row space of a matrix mathematics matrix . ref Linear algebra, as discussed ... . Using this mode of thought, a line in three dimensional space is the same as the set of points on the line, and is therefore just a subset of R sup 3 sup . Definition A Euclidean subspace is a subset ... 3 sup . The entire set R sup 3 sup is a three dimensional subspace of itself. In n dimensional space n dimensional space , there are subspaces of every dimension from 0 to n . The geometric dimension ... matrix of the n functions. Null space of a matrix main Null space In linear algebra, a homogeneous system ... x textbf 0 . math The set of solutions to this equation is known as the null space of the matrix. For example, the subspace of R sup 3 sup described above is the null space of the matrix math A left ... n sup can be described as the null space of some matrix see Algorithms algorithms , below . Linear ... space determined by the points v sub 1 sub ,..., v sub k sub . Example The xz plane in R sup ... of nowrap 0, 0, 1 . Column space and row space main Column space Row space A system of linear ... is known as the column space or image mathematics image of the matrix A . It is precisely the subspace ... more details
SECTION. About the greatest common divisor the mathematics of spaceEuclidean geometry File Euclid ... from Heath 1908 300 . In mathematics , the Euclidean algorithm Ref label a a none also called Euclid ... number that divides both of them without leaving a remainder . The Euclidean algorithm is based on the principle ... number. By extended Euclidean algorithm reversing the steps in the Euclidean algorithm , the GCD ... as B zout s identity . The earliest surviving description of the Euclidean algorithm is in Euclid ... s and polynomial s in one variable. This led to modern abstract algebra ic notions such as Euclidean domain s. The Euclidean algorithm has been generalized further to other mathematical structures, such as knot mathematics knots and multivariate polynomial s. The Euclidean algorithm has many theoretical ... musical rhythms used in different cultures throughout the world. ref Godfried Toussaint , The Euclidean ... congruences Chinese remainder theorem or multiplicative inverse s of a finite field . The Euclidean ... in the 20th century. Background Greatest common divisor The Euclidean algorithm calculates the greatest ... divisor is 1 they are coprime. A key advantage of the Euclidean algorithm is that it can find the GCD ... F sub n 1 sub F sub n 2 sub . Several equations associated with the Euclidean algorithm .... The latter argument is used to show that the Euclidean algorithm for natural numbers must end in a finite number of steps. ref name Stark p18 Description Procedure The Euclidean algorithm is iterative ... r sub 0 sub and zero. Proof of validity The validity of the Euclidean algorithm can be proven by a two ... sub , r sub N 1 sub r sub N 1 sub . Worked example File Euclidean algorithm 1071 462.gif upright thumb ... common divisor of 1071 and 462. For illustration, the Euclidean algorithm can be used to find ... factorization Background above . In tabular form, the steps are class wikitable id basic Euclidean algorithm ... 2 sub 0 algorithm ends Visualization The Euclidean algorithm can be visualized in terms of the tiling ... more details
In general topology , the pseudo arc is the simplest nondegenerate Indecomposable continuum hereditarily indecomposable continuum topology continuum . Pseudo arc is an arc like homogeneous continuum. R.H. Bing proved that, in a certain well defined sense, most continua in R sup n sup , n &ge 2, are homeomorphic to the pseudo arc. History In 1920, Bronis aw Knaster and Kazimierz Kuratowski asked whether a nondegenerate homogeneous continuum in the Euclidean plane R sup 2 sup must be a Jordan curve . In 1921, Stefan Mazurkiewicz asked whether a nondegenerate continuum in R sup 2 sup that is homeomorphic to each of its nondegenerate subcontinua must be an arc. In 1922, Knaster described the first ... subcontinua, Moise called his example M a pseudo arc and showed that it was hereditarily indecomposable ... s K , Moise s M , and Bing s B are all homeomorphic. Bing also proved that the pseudo arc is typical among the continua in a Euclideanspace of dimension at least 2 or an infinite dimensional separable Hilbert space . ref The history of the discovery of the pseudo arc is described in harv Nadler 1992 , pp 228&ndash 229. ref Construction The following construction of the pseudo arc follows harv Wayne Lewis 1999 . Chains At the heart of the definition of the pseudo arc is the concept of a chain ... C C 1,C 2, ldots,C n math in a metric space such that math C i cap C j ne emptyset math if and only ... of spaces listed above, the pseudo arc is actually very complex. The concept of a chain being crooked defined below is what endows the pseudo arc with its complexity. Informally, it requires ... D math is crooked in math mathcal C . math Pseudo arc For any collect C of sets, let math C math denote the union of all of the elements of C . That is, let math C bigcup S in C S. math The pseudo arc ... math P bigcap i in mathbb N left mathcal C i right . math Then P is a pseudo arc . Notes references .... 3 1922 , 247 286 Wayne Lewis, The Pseudo Arc , Bol. Soc. Mat. Mexicana, 5 1999 , 25&ndash 77 Edwin ... more details
A pseudo photograph is an image , whether made by computer graphics or otherwise howsoever, which appears to be a photograph . Although the term pseudo photograph can be applied regardless of what it depicts, in law its meaning is especially relevant regarding child pornography . In the UK, the Criminal Justice and Public Order Act 1994 amended the Protection of Children Act 1978 so as to define the concept of an indecent pseudo photograph of a child . References http www.statutelaw.gov.uk content.aspx?parentActiveTextDocId 1502057&ActiveTextDocId 1502059 See also Bitmap graphics editor Special effects art stub law term stub Category Digital art Category English law ms Pseudofotograf ... more details
Pseudo Phocylides is an apocrypha l work claiming to have been written by Phocylides , a Greek Philosophy Greek philosopher of the 6th century. The text is noticeably Jewish , and depends on the Septuagint , although it does not make direct references to either the Hebrew Bible or Judaism . Textual and linguistic studies point to the work as having originally been written in Greek language Greek , and having originated somewhere between 100BC and 100AD, although the oldest surviving manuscripts date from the 10th century AD. Pseudo Phocylides consists of a series of aphorism s, and these refer indirectly to each of the Noachide Laws , as well as the so called unwritten law s of the Greeks. There are about 250 in total, and these are written as a series of hexameter verses, in the form of a teaching manual each maxim directly commanding the reader to obey it Remain not unmarried, lest you die nameless ref line 175, p. 99, The sentences of Pseudo Phocylides, translated by Pieter Willem van der Horst ref Cut not a youth s masculine procreative faculty ref line 187, p. 101, The sentences of Pseudo Phocylides, translated by Pieter Willem van der Horst ref And let not women imitate the sexual role of men ref line 192, p. 101, The sentences of Pseudo Phocylides, translated by Pieter Willem van der Horst ref Long hair is not fit for men, but for voluptuous women ref line 212, p. 101, The sentences of Pseudo Phocylides, translated by Pieter Willem van der Horst ref Some of the maxims in Pseudo ... of Pseudo Phocylides is published in volume 2 of Old Testament Pseudepigrapha edited by James Charlesworth ... van der Horst , The Sentences of Pseudo Phocylides SVTP 4 Leiden Brill, 1978 . Some authors, including ... sentences.htm Further reading K. W. Niebuhr, Life and Death in Pseudo Phocylides, in Alberdina Houtman ..., 73 . Category Old Testament Apocrypha reli book stub Tanakh stub de Pseudo Phokylides fr Pseudo Phocylide ... more details
Taxobox image Pseudonitzschia seriata.jpg image caption Pseudo nitzschia seriata regnum Chromalveolata phylum Heterokont ophyta classis Diatom Bacillariophyceae ordo Bacillariales familia Bacillariaceae genus Pseudo nitzschia genus authority H. Perag. in H. Perag. and Perag. The genus Pseudo nitzschia includes several species of diatom s known to produce the neurotoxin known as domoic acid , a toxin which is responsible for the human illness called amnesic shellfish poisoning . This genus of phytoplankton is known to form harmful algal bloom s in coastal waters of Canada, California, Oregon, and Washington state. Species that have been shown to produce domoic acid although not all strains are toxigenic ref Bates, S.S. and V.L. Trainer. 2006. The ecology of harmful diatoms. In E. Gran li and J. Turner eds. Ecology of harmful algae. Ecological Studies, Vol. 189. Springer Verlag, Heidelberg, p. 81 93. ref , ref Trainer, V.L., B.M. Hickey, and S.S. Bates. 2008. Toxic diatoms. In P.J. Walsh, S.L. Smith, L.E. Fleming, H. Solo Gabriele, and W.H. Gerwick eds. , Oceans and human health risks and remedies ... ioc details.asp?Algae ID 3 Pseudo nitzschia australis http www.bi.ku.dk ioc details.asp?Algae ID 7 Pseudo nitzschia calliantha http www.bi.ku.dk ioc details.asp?Algae ID 106 Pseudo nitzschia cuspidata http www.bi.ku.dk ioc details.asp?Algae ID 4 Pseudo nitzschia delicatissima http www.bi.ku.dk ioc details.asp?Algae ID 99 Pseudo nitzschia fraudulenta http www.bi.ku.dk ioc details.asp?Algae ID 101 Pseudo nitzschia galaxiae http www.bi.ku.dk ioc details.asp?Algae ID 5 Pseudo nitzschia multiseries http www.bi.ku.dk ioc details.asp?Algae ID 6 Pseudo nitzschia multistriata http www.bi.ku.dk ioc details.asp?Algae ID 8 Pseudo nitzschia pugens http www.bi.ku.dk ioc details.asp?Algae ID 9 Pseudo nitzschia seriata http www.bi.ku.dk ioc details.asp?Algae ID 10 Pseudo nitzschia turgidula References ... The genus Pseudo nitzschia Category Diatoms Diatom stub fr Pseudo nitzschia ... more details
Orphan date February 2009 Notability music date October 2008 Infobox musical artist Name Pseudo Slang Img Img capt Background group or band Years active 2004&ndash present Origin Buffalo, New York Buffalo , United States Genre Hip Hop music Hip hop Label Fat Beats URL http www.pseudo slang.com pseudo slang.com Current members Emcee Sick, Tone Atlas Pseudo Slang are an underground hip hop music hip hop group from Buffalo, New York Buffalo , New York , United States United States of America group signed to Fat Beats Records. The group consists of lyricist Emcee Sick and producer rapper Tone Atlas. Their first group effort was the independently released Catalogue . After signing to Fat Beats in 2004, they released the single Broke & Copasetic featuring Vinia Mojica as well as independently released the EP Thank God It s Not Another Mixtape with Buffalo label Baby Steps Hip Hop. The long awaited Pseudo Slang full length album We ll Keep Looking was released spring 2009 on Fat Beats Records. Pseudo Slang the thinking fan s kind of hip hop. ref http findarticles.com p articles mi qn4155 is 20060922 ai n16750812 ref Chicago Sun Times Discography 2004 Catalogue CD 2006 Broke & Copascetic featuring Vinia Mojica 12 ref http www.discogs.com release 778252 Pseudo Slang Broke & Copasetic Yes Doubt Snowy Daze Again Bot generated title ref 2007 Thank God It s Not Another Mixtape CD 2009 We ll Keep Looking ref http www.fatbeats.com press pseudoslang index.html Bot generated title ref Full length album CD and LP Press http www.okayplayer.com reviews pseudo slang 200908198688.html http www.ukhh.com features interviews pseudoslang index.html Interview with UKHH http www.platform8470.com artists ai pseudoslang.asp Emcee Sick interview Platform8470.com References reflist External links http www.reverbnation.com pseudoslang Pseudo Slang Reverbnation Page http twitter.com PseudoSlang Pseudo Slang Twitter http www.pseudo slang.com Pseudo Slang Webpage http www.myspace.com pseudoslang Pseudo ... more details
Unreferenced date October 2008 Pseudo Demosthenes is the supposed author s of a number of speeches handed down to us under the name of Demosthenes . They include speech 46, 49 against Timotheus general Timotheus , 50 against Polycles , 52 against Callippos , 53 against Nicostratus , 59 against Neaira hetaera Neaira and perhaps 47, attributed to Apollodorus of Acharnae , follower of Demosthenes. Category Ancient Greek pseudepigrapha Ancient Greece writer stub de Pseudo Demosthenes ... more details
Pseudo LRU also known as Tree LRU , LRU meaning least recently used is an efficient algorithm to find an item that most likely has not been accessed very recently, given a set of items and a sequence of access events to the items. This technique is used in the CPU cache of the Intel 486 and in many processors in the Power Architecture formerly PowerPC family, such as Freescale Freescale s PowerPC G4 used by Apple Computer . The algorithm works as follows consider a binary search tree for the items in question. Each node of the tree has a one bit flag denoting go left to find a pseudo LRU element or go right to find a pseudo LRU element . To find a pseudo LRU element, traverse the tree according to the values of the flags. To update the tree with an access to an item N, traverse the tree to find N and, during the traversal, set the node flags to denote the direction that is opposite to the direction taken. See also Cache algorithms DEFAULTSORT Pseudo Lru Category Memory management algorithms Comp sci stub ... more details
Pseudo Ingulf is the name given to an unknown England English author of the Historia Monasterii Croylandensis , also known as the Croyland Chronicle . Nothing certain is known of Pseudo Ingulf although it is generally assumed that he was connected with Croyland Abbey . The Historia Monasterii Croylandensis is attributed to Abbot Ingulph , an 11th century Abbot of Croyland, but is generally accepted to be a 14th century work. Those parts of the work written after Pseudo Ingulf, that is the 15th century, are considered a valuable source. Pseudo Ingulf himself is not while he may have had access to genuine traditions or documents at Croyland, he misunderstood or garbled these beyond any possibility of recognition . A number of distinguished 19th century historians attempted to extract reliable material from Pseudo Ingulf, notably E. A. Freeman and Sir Francis Palgrave , with limited success. External links http books.google.com books?id xOMBAAAAMAAJ&printsec frontcover&source gbs v2 summary r&cad 0 v onepage&q &f false Google provides a copy of a translation of the text into English. UK historian stub Category 14th century historians ... more details
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