inequality (see Theorem2). A. Projects in the ending sequence are unlocked in order, additionally they all have no cost. It is shown that the sausage conjecture of László Fejes Tóth on finite sphere packings is true in dimension 42 and above. J. Further lattic in hige packingh dimensions 17s 1 C M. 1953. Monatshdte tttr Mh. Projects are available for each of the game's three stages, after producing 2000 paperclips. Khinchin's conjecture and Marstrand's theorem 21 248 R. Our method can be used to determine minimal arrangements with respect to various properties of four-ball packings, as we point out in Section 3. . FEJES TOTH'S SAUSAGE CONJECTURE U. On L. Close this message to accept cookies or find out how to manage your cookie settings. We show that the sausage conjecture of László Fejes Tóth on finite sphere packings is true in dimension 42 and above. The conjecture is still open in any dimensions, d > 5, but numerous partial results have been obtained. In 1975, L. Let C k denote the convex hull of their centres ank bde le a segment S t of length 2(/c— 1). Fejes Toth by showing that the minimum gap size of a packing of unit balls in IR3 is 5/3 1 = 0. Wills (1983) is the observation that in d = 3 and d = 4, the densest packing of nSemantic Scholar extracted view of "Note on Shortest and Nearest Lattice Vectors" by M. Diagrams mapping the flow of the game Universal Paperclips - paperclips-diagrams/paperclips-diagram-stage1a. These low dimensional results suggest a monotone sequence of breakpoints beyond which sausages are inefficient. Monatshdte tttr Mh. Projects in the ending sequence are unlocked in order, additionally they all have no cost. That is, the sausage catastrophe no longer occurs once we go above 4 dimensions. The problem of packing a finite number of spheres has only been studied in detail in recent decades, with much of the foundation laid by László Fejes Tóth. 2. The conjecture states that in n dimensions for n≥5 the arrangement of n-hyperspheres whose convex hull has. . 2013: Euro Excellence in Practice Award 2013. Article. However, instead of occurring at n = 56, the transition from sausages to clusters is conjectured to happen only at around 377,000 spheres. On Tsirelson’s space Authors. M. Technische Universität München. In the two dimensional space, the container is usually a circle [8], an equilateral triangle [14] or a square [15]. In the two dimensional space, the container is usually a circle [8], an equilateral triangle [14] or a square [15]. The length of the manuscripts should not exceed two double-spaced type-written. Slice of L Fejes. 1 Sausage packing. Swarm Gifts is a general resource that can be spent on increasing processors and memory, and will eventually become your main source of both. ) but of minimal size (volume) is lookedMonatsh Math (2019) 188:611–620 Minimizing the mean projections of finite ρ-separable packings Károly Bezdek1,2. J. Betke, Henk, and Wills [7] proved for sufficiently high dimensions Fejes Toth's sausage conjecture. In the sausage conjectures by L. Fig. The $r$-ball body generated by a given set in ${mathbb E}^d$ is the intersection of balls of radius. Search 210,148,114 papers from all fields of science. FEJES TOTH, Research Problem 13. 6 The Sausage Radius for Packings 304 10. BETKE, P. ss Toth's sausage conjecture . DOI: 10. Currently, the sausage conjecture has been confirmed for all dimensions ≥ 42. WILLS Let Bd l,. Instead, the sausage catastrophe is a mathematical phenomenon that occurs when studying the theory of finite sphere packing. The conjecture was proposed by László. 1016/0012-365X(86)90188-3 Corpus ID: 44874167; An application of valuation theory to two problems in discrete geometry @article{Betke1986AnAO, title={An application of valuation theory to two problems in discrete geometry}, author={Ulrich Betke and Peter Gritzmann}, journal={Discret. 14 articles in this issue. In the sausage conjectures by L. For the corresponding problem in two dimensions, namely how to pack disks of equal radius so that the density is maximized it seems quite intuitive to pack them as a hexagonal grid. Finite Packings of Spheres. Abstract. Math. Suppose that an n-dimensional cube of volume V is covered by a system ofm equal spheres each of volume J, so that every point of the cube is in or on the boundary of one at least of the spheres . This has been known if the convex hull C n of the centers has. TzafririWe show that the sausage conjecture of László Fejes Tóth on finite sphere packings is true in dimension 42 and above. View details (2 authors) Discrete and Computational Geometry. This has been known if the convex hull C n of the centers has. The. If you choose the universe next door, you restart the. (+1 Trust) Coherent Extrapolated Volition: 500 creat 20,000 ops 3,000 yomi 1 yomi +1 Trust (todo) Male Pattern Baldness: 20,000 ops Coherent. Fejes Tóth) states that in dimensions d ≥ 5, the densest packing of any finite number of spheres in R^d occurs if and only if the spheres are all packed in a line, i. In suchThis paper treats finite lattice packings C n + K of n copies of some centrally symmetric convex body K in E d for large n. Let C k denote the convex hull of their centres ank bde le a segment S t of length 2(/c— 1). The conjecture is still open in any dimensions, d > 5, but numerous partial results have been obtained. Click on the title to browse this issueThe sausage conjecture holds for convex hulls of moderately bent sausages @article{Dekster1996TheSC, title={The sausage conjecture holds for convex hulls of moderately bent sausages}, author={Boris V. g. This has been known if the convex hull Cn of the centers has low dimension. Throughout this paper E denotes the d-dimensional Euclidean space and the set of all centrally Symmetrie convex bodies K a E compact convex sets with K = — Kwith non-empty interior (int (K) φ 0) is denoted by J^0. Let d 5 and n2N, then Sd n = (d;n), and the maximum density (d;n) is only obtained with a sausage arrangement. F. PACHNER AND J. s Toth's sausage conjecture . As the main ingredient to our argument we prove the following generalization of a classical result of Davenport . The Sausage Catastrophe of Mathematics If you want to avoid her, you have to flee into multidimensional spaces. B. Let ${mathbb E}^d$ denote the $d$-dimensional Euclidean space. Article. Fejes Tóth and J. Consider the convex hullQ ofn non-overlapping translates of a convex bodyC inEd,n be large. The critical parameter depends on the dimension and on the number of spheres, so if the parameter % is xed then abrupt changes of the shape of the optimal packings (sausage catastrophe. Trust is gained through projects or paperclip milestones. If, on the other hand, each point of C belongs to at least one member of J then we say that J is a covering of C. . Math. 5) (Betke, Gritzmann and Wills 1982) dim Q ^ 9 and (Betke and Gritzmann 1984) Q is a lattice zonotope (Betke and Gritzmann 1986) Q is a regular simplex (G. BAKER. Bor oczky [Bo86] settled a conjecture of L. BOS. ) but of minimal size (volume) is looked The Sausage Conjecture (L. We consider finite packings of unit-balls in Euclidean 3-spaceE 3 where the centres of the balls are the lattice points of a lattice polyhedronP of a given latticeL 3⊃E3. 3) we denote for K ∈ Kd and C ∈ P(K) with #C < ∞ by. We show that the total width of any collection of zones covering the unit sphere is at least π, answering a question of Fejes Tóth from 1973. Skip to search form Skip to main content Skip to account menu. This has been known if the convex hull Cn of the centers has low dimension. Fejes Tóth formulated in 1975 his famous sausage conjecture, claiming that for dimensions (ge. It remains an interesting challenge to prove or disprove the sausage conjecture of L. Dekster}, journal={Acta Mathematica Hungarica}, year={1996}, volume={73}, pages={277-285} } B. L. First Trust goes to Processor (2 processors, 1 Memory). Click on the article title to read more. If you choose the universe within, you restart the game on "Universe 1, Sim 2", with all functions appearing the same. Slice of L Feje. H. Contrary to what you might expect, this article is not actually about sausages. ss Toth's sausage conjecture . The overall conjecture remains open. M. SLICES OF L. 1016/0166-218X(90)90089-U Corpus ID: 205055009; The permutahedron of series-parallel posets @article{Arnim1990ThePO, title={The permutahedron of series-parallel posets}, author={Annelie von Arnim and Ulrich Faigle and Rainer Schrader}, journal={Discret. If you choose the universe next door, you restart the. [9]) that the densest pack ing of n > 2 unit balls in Ed, d > 5, is the sausage arrangement; namely the centers are collinear. WILLS Let Bd l,. The first among them. SLICES OF L. BRAUNER, C. pdf), Text File (. The truth of the Kepler conjecture was established by Ferguson and Hales in 1998, but their proof was not published in full until 2006 [18]. Ball-Polyhedra. For d=3 and 4, the 'sausage catastrophe' of Jorg Wills occurs. Monatsh Math (2019) 188:611–620 Minimizing the mean projections of finite ρ-separable packings Károly Bezdek1,2. 15-01-99563 A, 15-01-03530 A. The critical parameter depends on the dimension and on the number of spheres, so if the parameter % is xed then abrupt changes of the shape of the optimal packings (sausage catastrophe. These results support the general conjecture that densest sphere packings have. Radii and the Sausage Conjecture. 2), (2. space and formulated the following conjecture: for n ~ 5 the volume of the convex hull of k non-overlapping unit balls attains its minimum if the centres of the balls are equally spaced on a line with distance 2, so that the convex hull of the balls becomes a "sausage". . Finite and infinite packings. For d=3 and 4, the 'sausage catastrophe' of Jorg Wills occurs. Further lattice. The Sausage Catastrophe (J. The conjecture states that in n dimensions for n≥5 the arrangement of n-hyperspheres whose convex hull has minimal content is always a "sausage" (a set of hyperspheres arranged with centers along a line), independent of the number of n-spheres. A basic problem in the theory of finite packing is to determine, for a given positive integer k, the minimal volume of all convex bodies into which k translates of the unit ball B d of the Euclidean d-dimensional space E d can be packed ([5]). Furthermore, we need the following well-known result of U. . 3 Cluster packing. The Sausage Catastrophe (J. Contrary to what you might expect, this article is not actually about sausages. (+1 Trust) Donkey Space 250 creat 250 creat I think you think I think you think I think you think I think. , Bk be k non-overlapping translates of the unid int d-bal euclideal Bn d-space Ed. 19. Mentioning: 9 - On L. Lagarias and P. László Fejes Tóth, a 20th-century Hungarian geometer, considered the Voronoi decomposition of any given packing of unit spheres. 4 A. M. Fejes. Fejes Tóth's sausage conjecture, says that ford≧5V(Sk +Bd) ≦V(Ck +Bd In the paper partial results are given. Bode _ Heiko Harborth Branko Grunbaum is Eighty by Joseph Zaks Branko, teacher, mentor, and a. The conjecture states that in n dimensions for n≥5 the arrangement of n-hyperspheres whose convex hull has minimal content is always a "sausage" (a set of hyperspheres arranged with centers along a line), independent of the number of n-spheres. The first chip costs an additional 10,000. Instead, the sausage catastrophe is a mathematical phenomenon that occurs when studying the theory of finite sphere packing. • Bin packing: Locate a finite set of congruent spheres in the smallest volume containerIn this work, we confirm this conjecture asymptotically by showing that for every (varepsilon in (0,1]) and large enough (nin mathbb N ) a valid choice for this constant is (c=2-varepsilon ). math. • Bin packing: Locate a finite set of congruent spheres in the smallest volume containerThis paper presents two algorithms for packing vertex disjoint trees and paths within a planar graph where the vertices to be connected all lie on the boundary of the same face. Jiang was supported in part by ISF Grant Nos. Conjecture 1. If this project is purchased, it resets the game, although it does not. In 1975, L. In this. Seven circle theorem , an applet illustrating the fact that if six circles are tangent to and completely surrounding a seventh circle, then connecting opposite points of tangency in pairs forms three lines that meet in a single point, by Michael Borcherds. BOKOWSKI, H. Further lattic in hige packingh dimensions 17s 1 C. m4 at master · sleepymurph/paperclips-diagramsReject is a project in Universal Paperclips. 2 Pizza packing. and V. The conjecture was proposed by Fejes Tóth, and solved for dimensions >=42 by Betke et al. 99, 279-296 (1985) für (O by Springer-Verlag 1985 On Two Finite Covering Problems of Bambah, Rogers, Woods and Zassenhaus By P. In this paper, we settle the case when the inner m-radius of Cn is at least. improves on the sausage arrangement. In higher dimensions, L. It was conjectured, namely, the Strong Sausage Conjecture. Let C k denote the convex hull of their centres. Contrary to what you might expect, this article is not actually about sausages. Monatsh Math (2019) 188:611–620 Minimizing the mean projections of finite ρ-separable packings Károly Bezdek1,2. In 1975, L. Investigations for % = 1 and d ≥ 3 started after L. A. It is not even about food at all. Our main tool is a generalization of a result of Davenport that bounds the number of lattice points in terms of volumes of suitable projections. Tóth’s sausage conjecture is a partially solved major open problem [3]. L. BeitrAlgebraGeom as possible”: The first one leads to so called bin packings where a container (bin) of a prescribed shape (ball, simplex, cube, etc. Let Bd the unit ball in Ed with volume KJ. The Universe Next Door is a project in Universal Paperclips. In 1975, L. GRITZMAN AN JD. The Tóth Sausage Conjecture +1 Trust 250 Creat: Amass 250 Creat: Donkey Space +1 Trust 500 Creat & 20000 Ops & 3000 Yomi: Run your first tournament: Coherent Extrapolated Volition +1 Trust 25000 Creat: New Strategy: BEAT LAST: Theory of Mind: Double the cost of strategy modeling & Yomi generation. Or? That's not entirely clear as long as the sausage conjecture remains unproven. Costs 300,000 ops. 2. 10. Your first playthrough was World 1, Sim. 1. " In. Radii and the Sausage Conjecture - Volume 38 Issue 2 Online purchasing will be unavailable on Sunday 24th July between 8:00 and 13:30 BST due to essential maintenance work. If the number of equal spherical balls. That is, the shapes of convex bodies containing m translates of a convex body K so that their Minkowskian surface area is minimum tends to a convex body L. Instead, the sausage catastrophe is a mathematical phenomenon that occurs when studying the theory of finite sphere packing. The r-ball body generated by a given set in E d is the intersection of balls of radius r centered at the points of the given set. Radii and the Sausage Conjecture - Volume 38 Issue 2 Online purchasing will be unavailable on Sunday 24th July between 8:00 and 13:30 BST due to essential maintenance work. 15. Conjecture 1. According to this conjecture, any set of n noncollinear points in the plane has a point incident to at least cn connecting lines determined by the set. Semantic Scholar extracted view of "The General Two-Path Problem in Time O(m log n)" by J. Wills, SiegenThis article sketches the proofs of two theorems about sphere packings in Euclidean 3-space. A finite lattice packing of a centrally symmetric convex body K in $$mathbb{R}$$ d is a family C+K for a finite subset C of a packing lattice Λ of K. A basic problem in the theory of finite packing is to determine, for a given positive integer k, the minimal volume of all convex bodies into which k translates of the unit ball B d of the Euclidean d-dimensional space E d can be packed ([5]). , Bk be k non-overlapping translates of the unid int d-bal euclideal Bn d-space Ed. 4. In 1975, L. Let ${mathbb E}^d$ denote the $d$-dimensional Euclidean space. CON WAY and N. However, even some of the simplest versionsCategories. It is available for the rest of the game once Swarm Computing is researched, and it supersedes Trust which is available only during Stage 1. V. Expand. . Fejes T´oth ’s observation poses two problems: The first one is to prove or disprove the sausage conjecture. Contrary to what you might expect, this article is not actually about sausages. 1007/BF01688487 Corpus ID: 123683426; Inequalities between the Kolmogorov and the Bernstein diameters in a Hilbert space @article{Pukhov1979InequalitiesBT, title={Inequalities between the Kolmogorov and the Bernstein diameters in a Hilbert space}, author={S. In 1975, L. BOS, J . is a “sausage”. Fachbereich 6, Universität Siegen, Hölderlinstrasse 3, D-57068 Siegen, Germany betke. The Toth surname is thought to be independently derived from the Middle High German words "toto," meaning "death," or "tote," meaning "godfather. Expand. Tóth's zone conjecture is closely related to a number of other problems in discrete geometry that were solved in the 20th century dealing with covering a surface with strips. Further he conjectured Sausage Conjecture. a sausage arrangement in Ed and observed δ(Sd n) <δ(d) for all n, provided that the dimension dis at least 5. An arrangement in which the midpoint of all the spheres lie on a single straight line is called a sausage packing, as the convex hull has a sausage-like shape. Dekster; Published 1. GRITZMANN AND J. Keller's cube-tiling conjecture is false in high dimensions, J. Fejes Toth conjectured that in Ed, d > 5, the sausage ar rangement is denser than any other packing of « unit balls. Simplex/hyperplane intersection. Fejes Tóth's sausage conjecture, says that ford≧5V. Sausage Conjecture 200 creat 200 creat Tubes within tubes within tubes. Lantz. For finite coverings in euclidean d -space E d we introduce a parametric density function. 275 +845 +1105 +1335 = 1445. up the idea of Zong’s proof in [11] and show that the “spherical conjecture” is also valid in Minkowski Geometry. Introduction. Mh. Polyanskii was supported in part by ISF Grant No. 1992: Max-Planck Forschungspreis. Fejes T oth [25] claims that for any number of balls, a sausage con guration is always best possible, provided d 5. The Tóth Sausage Conjecture is a project in Universal Paperclips. The r-ball body generated by a given set in E d is the intersection of balls of radius r centered at the points of the given set. CON WAY and N. BETKE, P. V. 1. 10 The Generalized Hadwiger Number 65 2. In this note, we derive an asymptotically sharp upper bound on the number of lattice points in terms of the volume of a centrally symmetric convex body. FEJES TOTH'S SAUSAGE CONJECTURE U. Betke et al. Sausage Conjecture 200 creat 200 creat Tubes within tubes within tubes. Fejes T6th's sausage conjecture says thai for d _-> 5. Partial results about this conjecture are contained inPacking problems have been investigated in mathematics since centuries. Betke, Henk, and Wills [7] proved for sufficiently high dimensions Fejes Toth's sausage conjecture. homepage of Peter Gritzmann at the. From the 42-dimensional space onwards, the sausage is always the closest arrangement, and the sausage disaster does not occur. • Bin packing: Locate a finite set of congruent spheres in the smallest volume container of a specific kind. B d denotes the d-dimensional unit ball with boundary S d−1 and. Fejes Tóth [9] states that in dimensions d ≥ 5, the optimal finite packing is reached b y a sausage. Fejes Tóth for the dimensions between 5 and 41. Further, we prove that, for every convex bodyK and ρ<1/32d−2,V(conv(Cn)+ρK)≥V(conv(Sn)+ρK), whereCn is a packing set with respect toK andSn is a minimal “sausage” arrangement ofK, holds. • Bin packing: Locate a finite set of congruent balls in the smallest volumeSlices of L. inequality (see Theorem2). for 1 ^ j < d and k ^ 2, C e . Introduction. On L. Mathematika, 29 (1982), 194. 1 A sausage configuration of a triangle T,where1 2(T −T)is the darker hexagon convex hull. Full PDF PackageDownload Full PDF PackageThis PaperA short summary of this paper37 Full PDFs related to this paperDownloadPDF Pack Edit The gameplay of Universal Paperclips takes place over multiple stages. Further o solutionf the Falkner-Ska s n equatio fon r /? — = 1 and y = 0 231 J H. BeitrAlgebraGeom as possible”: The first one leads to so called bin packings where a container (bin) of a prescribed shape (ball, simplex, cube, etc. N M. For n∈ N and d≥ 5, δ(d,n) = δ(Sd n). Clearly, for any packing to be possible, the sum of. When is it possible to pack the sets X 1, X 2,… into a given “container” X? This is the typical form of a packing problem; we seek conditions on the sets such that disjoint congruent copies (or perhaps translates) of the X. Abstract We prove that sausages are the family of ‘extremal sets’ in relation to certain linear improvements of Minkowski’s first inequality when working with projection/sections assumptions. Introduction. 4. DOI: 10. 1007/BF01688487 Corpus ID: 123683426; Inequalities between the Kolmogorov and the Bernstein diameters in a Hilbert space @article{Pukhov1979InequalitiesBT, title={Inequalities between the Kolmogorov and the Bernstein diameters in a Hilbert space}, author={S. An upper bound for the “sausage catastrophe” of dense sphere packings in 4-space is given. Math. Đăng nhập . They showed that the minimum volume of the convex hull of n nonoverlapping congruent balls in IRd is attained when the centers are on a line. 1. That is, the shapes of convex bodies containing m translates of a convex body K so that their Minkowskian surface area is minimum tends to a convex body L. A basic problem of finite packing and covering is to determine, for a given number ofk unit balls in Euclideand-spaceEd, (1) the minimal volume of all convex bodies into which thek balls can be packed and (2) the. BeitrAlgebraGeom as possible”: The first one leads to so called bin packings where a container (bin) of a prescribed shape (ball, simplex, cube, etc. Extremal Properties AbstractIn 1975, L. Start buying more Autoclippers with the funds when you've got roughly 3k-5k inches of wire accumulated. 99, 279-296 (1985) Mathemalik 9 by Springer-Verlag 1985 On Two Finite Covering Problems of Bambah, Rogers, Woods and ZassenhausHowever, as with the sausage catastrophe discussed in Section 1. E poi? Beh, nel 1975 Laszlo Fejes Tóth formulò la Sausage Conjecture, per l’appunto la congettura delle salsicce: per qualunque dimensione n≥5, la configurazione con il minore n-volume è quella a salsiccia, qualunque sia il numero di n-sfere cheSee new Tweets. Fejes Toth's contact conjecture, which asserts that in 3-space, any packing of congruent balls such that each ball is touched by twelve others consists of hexagonal layers. Download to read the full article text Working on a manuscript? Avoid the common mistakes Author information. This has been known if the convex hull Cn of the centers has low dimension. 1. Letk non-overlapping translates of the unitd-ballBd⊂Ed be given, letCk be the convex hull of their centers, letSk be a segment of length 2 (k−1) and letV denote the volume. e. space and formulated the following conjecture: for n ~ 5 the volume of the convex hull of k non-overlapping unit balls attains its minimum if the centres of the balls are equally spaced on a line with distance 2, so that the convex hull of the balls becomes a "sausage". In one of their seminal articles on allowable sequences, Goodman and Pollack gave combinatorial generalizations for three problems in discrete geometry, one of which being the Dirac conjecture. In n-dimensional Euclidean space with n > 5 the volume of the convex hull of m non-overlapping unit balls is at least 2(m - 1)con_ 1 + co, where co i indicates the volume of the i-dimensional unit ball. F. 6, 197---199 (t975). Download to read the full. The cardinality of S is not known beforehand which makes the problem very difficult, and the focus of this chapter is on a better. This definition gives a new approach to covering which is similar to the approach for packing in [BHW1], [BHW2]. This has been known if the convex hull Cn of the. In n dimensions for n>=5 the arrangement of hyperspheres whose convex hull has minimal content is always a "sausage" (a set of hyperspheres arranged with centers along a line), independent of the number of n-spheres. The action cannot be undone. SLOANE. Casazza; W. A conjecture is a mathematical statement that has not yet been rigorously proved. M. . • Bin packing: Locate a finite set of congruent balls in the smallest volume container of a specific kind. A packing of translates of a convex body in the d-dimensional Euclidean space $${{mathrm{mathbb {E}}}}^d$$Ed is said to be totally separable if any two packing. 2023. 409/16, and by the Russian Foundation for Basic Research through Grant Nos. Manuscripts should preferably contain the background of the problem and all references known to the author. The game itself is an implementation of a thought experiment, and its many references point to other scientific notions related to theory of consciousness, machine learning and the like (Xavier initialization,. Skip to main content Accessibility help We use cookies to distinguish you from other users and to provide you with a better experience on our websites. Further, we prove that, for every convex body K and p < 3~d -2, V(conv(C. F. FEJES TOTH'S SAUSAGE CONJECTURE U. FEJES TOTH'S SAUSAGE CONJECTURE U. Tóth’s sausage conjecture is a partially solved major open problem [3]. . GRITZMAN AN JD. A. ) but of minimal size (volume) is lookedThe Sausage Conjecture (L. . kinjnON L. Fejes T´oth ’s observation poses two problems: The first one is to prove or disprove the sausage conjecture. 3 (Sausage Conjecture (L. FEJES TOTH'S SAUSAGE CONJECTURE U. FEJES TOTH'S SAUSAGE CONJECTURE U. F. The famous sausage conjecture of L. M. Keller conjectured (1930) that in every tiling of IRd by cubes there are twoSemantic Scholar profile for U. 453 (1994) 165-191 and the MathWorld Sausage Conjecture Page). Fejes Toth conjectured that in Ed, d ≥ 5, the sausage arrangement is denser than any other packing of n unit balls. Last time updated on 10/22/2014. A zone of width ω on the unit sphere is the set of points within spherical distance ω/2 of a given great circle. P. Packings and coverings have been considered in various spaces and on. CONJECTURE definition: A conjecture is a conclusion that is based on information that is not certain or complete. SLICES OF L. Dekster; Published 1.