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Topic: Preimage

Related Topics

Bijection

Power set

Lebesgue integral

Correlation

Lebesgue measure

Expected value

Probability space

Vector space

Covariance

Covariance matrix

Mahalanobis distance

	Conformal Maps (Site not responding. Last check: 2007-11-05)
		After the preimage grid is drawn, it disappears from the screen and the program immediately draws its image (the "image grid") under the chosen mapping.
		The preimage grid will appear and stay in view until you release the mouse button, at which point the image grid will reappear.
		Now the preimage curves will be parts of rays through the origin and parts of circles centered at the origin.
	rsp.math.brandeis.edu /3D-XplorMath/DocumentationPages/ConformalMaps.html (1369 words)

	Kernel (algebra) - Wikipedia, the free encyclopedia
		Let V and W be vector spaces and let T be a linear transformation from V to W.
		is the zero vector of W, then the kernel of T is the preimage of the singleton set {0
		In particular, the preimage of the identity element of N is not enough to determine the kernel of f.
	www.wikipedia.org /wiki/Kernel+(algebra) (1892 words)

	Analysis WebNotes: Chapter 05, Class 24
		The preimage of a set is the set of things that are mapped into that set.
		Remember that both the image and the preimage of a set are themselves sets, not numbers.
		Note that the preimage of an open set under a continuous function is open, but that the image of an open set need not be.
	www.math.unl.edu /~webnotes/classes/class24/class24.htm (321 words)

	Math "M" Terms
		In a rotation, the amount that the preimage is turned about the center of rotation, measured in degrees from -180 (clockwise) to 180 (counterclockwise), +/- m
		In a size change, the factor by which the length of the preimage is changed, A'B'/AB, where A' and B' are the images of A and B under the transformation.
		A correspondence between two sets of points such that each point in the preimage set has a unique image, and each point in the image set has exactly one preimage.
	www.themathlab.com /dictionary/mwords/mwords.htm (816 words)

	EMT 469 Instructional Unit (Site not responding. Last check: 2007-11-05)
		Next the preimage, triangle FGH, is rotated about the point I by 90 degrees and then again by 135 degrees.
		Triangle DEF, the preimage, is translated by 45 degrees and one inch.
		In general the distance from the point of rotation to a point on the preimage is the same as the distance from the point of rotation to the corresponding point on the image.
	jwilson.coe.uga.edu /EMT669/Student.Folders/Danley.Fhonda/unit/unit.html (1712 words)

	Digital Plane Preimage Computation (Site not responding. Last check: 2007-11-05)
		It computes the preimage associated to a set of voxels.
		This code uses the lrs library to compute the intersection of a set of inequations.
		The standard output can be sent to qhull to obtain a complete polyhedral representation of the digital plane preimage.
	www.cb.uu.se /~tc18/code_data_set/Code/Preimage/preimage.html (240 words)

	Categorization and Abstraction in Sensorimotor Schema
		The preimage can be used to trigger the addition and removal of additional resources.
		The preimage delineates regions where the system behavior is dependent on the particular plant thus affecting both recognition and control objectives.
		The preimage is an abstraction whose cost is amortized over the lifetime of more efficient grasping tasks.
	www-robotics.cs.umass.edu /~grupen/grupen_cohen/subsection3_1_3.html (562 words)

	Hard-core predicate - Wikipedia, the free encyclopedia
		More generally, a hard-core function is a function that has the same property.
		While a one-way function is hard to invert, it makes no guarantees about the feasibility of computing partial information about the preimage.
		For instance, while RSA is conjectured to be a one-way function, the Jacobi symbol of the preimage can be easily computed from that of the image.
	www.wikipedia.org /wiki/Hard_core_predicate (379 words)

	preimage (Site not responding. Last check: 2007-11-05)
		In our example of discrete function, the preimage of {a,b} is f
		The results relating images and preimages to the algebra of intersection and union work for any number of sets, not just for 2.
		If a function f:X→Y is bijective then preimages of any element y in the codomain Y is a singleton.
	www.yourencyclopedia.net /Preimage.html (2178 words)

	Translate
		The objects produced by this action are the images of the corresponding preimages.
		Notice that the corresponding image points are labeled with primes; for example, preimage point D corresponds with image point D'.
		Drag one of the points on the preimage polygon.
	www.nku.edu /~foletta/Translation.html (192 words)

	Furtherdiscussions.html
		So given a complex number w, we are going to calculate the preimages of this point z1 and z2 using the above backward tranformations.
		We obviously see that the preimage of the initial circle using the first transformation will only cover half a circle (180 degrees) and the other transformation will cover the rest of it.
		As c is on the circle, the preimage of the point w = c is nothing but the origin o, and this applies on both preimage transformations: z1 = z2 = 0.
	ourworld.compuserve.com /homepages/fchoukeir/furtherdiscussions.htm (618 words)

	Definition of Open and closed maps
		Recall that a function f : X → Y is continuous if the preimage of any open set of Y is open in X, or equivalently: if the preimage of every closed set of Y is closed in X.
		In fact, a bijective continuous map is a homeomorphism iff it's open, or equivalently, iff it's closed.
		preimages of compact sets are compact), then it is also closed.
	www.wordiq.com /definition/Open_and_closed_maps (747 words)

	[No title] (Site not responding. Last check: 2007-11-05)
		This simply means that f extends to a morphism on all of P^n, and X is the preimage of Y under this extended morphism.
		Then we will extend f to a rational map on P^n and consider the preimage of Y, which is X plus some other hypersurface H. In case m\neq d/e, i.e.
		H is not empty, we will analyze the rational map from H to Y and derive a contradiction in some cases.
	www-math.mit.edu /%7Eabuch/seminar/abstracts/020507-sheppard.txt (218 words)

	NSDL Metadata Record -- ATPG based Preimage Computation: Efficient Search Space Pruning using ZBDD
		Preimage Computation is a fundamental step in Formal Verification of VLSI designs.
		Similar sub-problems often occur during preimage computation that can be identified by the internal state of the circuit.
		Experimental results show that upto 90% of the search-space is pruned due to the proposed techniques and we are able to compute preimages for target states where a state-of-the-art technique fails.
	nsdl.org /mr/484490 (423 words)

	Zbigniew Nitecki (Tufts University)
		For noninvertible maps, several conjugacy invariants based on preimage structure have been formulated and studied.
		preimages of a point in the space, while branch preimage entropy h
		Theorem 2: Forward-expansive surjections on compact metric spaces (in particular subshifts) whose inverse limits are conjugate have equal branch preimage entropy.
	www.math.psu.edu /dynsys/DW2001/abstracts/node16.html (222 words)

	Images and Preimages (Site not responding. Last check: 2007-11-05)
		Given a mapping f with domain A and codomain B, where f supports preimages, and an element y belonging to B, return the preimage of y under f as an element of A. If the mapping f is a homomorphism, then a single element is returned as the preimage of y.
		In order to obtain the full preimage of y, it is necessary to form the coset K * y@@f, where K is the kernel of f.
		Return whether the preimage of x under f can be taken and the preimage as a second argument if it can.
	www.math.lsu.edu /magma/text228.htm (365 words)

	Planning with motion commands
		The most popular method within the preimage planning framework is to perform a backward search from the goal.
		879], that the preimage in general is uncomputable by any algorithm.
		724] that the three-dimensional version of preimage planning, in which the obstacles are polyhedral, is PSPACE-hard.
	msl.cs.uiuc.edu /planning/node648.html (175 words)

	Preimage attack - Encyclopedia, History, Geography and Biography
		Preimage attack - Encyclopedia, History, Geography and Biography
		In a preimage attack, the attacker starts with a particular output, and is able to find an input that will produce that particular output, whereas a collision attack merely finds two inputs that produce the same output.
		The article about Preimage attack contains information related to Preimage attack.
	www.arikah.net /encyclopedia/Preimage_attack (103 words)

	Usenet replayer's FAQ collection: alt.music.insane-clown-posse
		Recall that the preimage of a set, B, is the
		preimage of A is a profit, we want to maximize the profits.
		built an A and the measure of A and the measure of its preimage are
	www.usenet-replayer.com /faq/alt.music.insane-clown-posse.html (1079 words)

	[No title]
		The new `resized' preimage will be considered 100% x 100% while the computer will base all percentages on the image they first inserted prior to resizing.
		Scan their preimage and enlarge/decrease to their predetermined size and print out on 11" x 8 ½" sheet.
		Students will look at the equality in percentage of change in images that are similar to the preimage (and at the inequality in percentage of change when images are distorted from the preimage).
	www.ed.mtu.edu /esmis/id288_m.htm (1737 words)

	[No title]
		Recall that the preimage of a set, B, is the set of points that the function maps into the set B. My first approach to solving this problem was to consider a single interval as comprising A:
		Pretty clearly, this procedure will result in an A and a preimage of A that agree almost completely (except for the right half of the leftmost interval, and even that will get partly covered eventually by the little bits of preimages from intervals close to the first one).
		So we have built an A and the measure of A and the measure of its preimage are almost the same.
	www.wcf.com /chaos (1188 words)

	Pervasive: Knowledge Base: Status 109 with Btrieve NLM v5.15 (Site not responding. Last check: 2007-11-05)
		When this was done and the preimage file grew to 32 MB in size, a Status Code 18 occurred from Btrieve.
		This counter has now been changed to allow a preimage file of 64 MB to be created before the new Status Code 109 is returned.
		Other operations to other Btrieve files besides the one who's preimage file has reached this 64 MB threshold can still be performed successfully.
	www.pervasive.com /support/knowledge/files/btrtt-97081408.html (221 words)

	Cryptography Research - Hash Collision Q&A
		A: A preimage attack would enable someone to find an input message that causes a hash function to produce a particular output.
		The attacks announced at CRYPTO 2004 are collision attacks, not preimage attacks.
		For example, a trusted compiler/verifier might accept and sign the innocuous program, which could then be substituted for the malicious one.
	www.cryptography.com /cnews/hash.html (1054 words)

	Preimages as Concepts (Site not responding. Last check: 2007-11-05)
		First, a preimage identifies a class of objects, as noted, and functions as a recognizer for members of that class.
		Third, the difference between square and triangular blocks is meaningful to the Utah/MIT hand in the sense that part of its control apparatus is invoked for one but not the other.
		This is the role of the preimage compensator.
	eksl-www.cs.umass.edu /research/conceptual-systems/slide24.html (235 words)

	Identifying Objects with Preimages (Site not responding. Last check: 2007-11-05)
		Recall that the preimages are generated for an object by grasping it over and over again from different initial positions.
		Thus a preimage identifies a class of block geometries, say, squares.
		But now I want to go one step further and say that the preimage for squares is the concept "square." This may seem odd, but I believe that preimages do a lot of what we want concepts to do.
	eksl-www.cs.umass.edu /research/conceptual-systems/slide23.html (165 words)

	GAP Manual: 42.11. PreImage (Site not responding. Last check: 2007-11-05)
		The preimage is the unique element of the source of
		Look in the index under PreImage to see for which mappings this function is overlaid.
		Look in the index under PreImage to see for which mappings this is overlaid.
	www.math.uiuc.edu /Software/GAP-Manual/PreImage.html (231 words)

	[No title] (Site not responding. Last check: 2007-11-05)
		Immersions and submersions - local immersion and submersion theorems, the preimage theorem, general procedure for defining manifolds, examples (3 lectures).
		Transversality - definitions, transversality and regular values, the transversality preimage theorem (2 lectures).
		Manifolds with boundary - definition, tangent space, the transversality preimage theorem and Sard's theorem for manifolds with boundary, Brouwer's fixed point theorem for smooth maps (3 lectures).
	www.maths.uwa.edu.au /students/outlines/97S2/4P3.php (232 words)

	Second preimage resistance
		Brak preimage resistance implikuje brak second preimage resistance.
		Można łatwo zbudować funkcję haszującą, która jest preimage resistant, ale nie jest second preimage resistant.
		Para taka stanowi kolizje, więc funkcja nie jest odporna na kolizje.
	pl.efactory.pl /Second_preimage_resistance (173 words)

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