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compact representation meaning

On the clothes we wear, on the phones we use, and on the food we buy—we’re surrounded. Synonyms for compact include dense, crowded, packed, thick, tight, solid, close, serried, compressed and condensed. Products Small industrial robot arms as automation components. theta = pi/2 … Matrix groups 14 4. Evaluation of Association Patterns, 4 Decision Tree Builder Instructions, 5 Apriori Generator Installation Instructions, 6 Cluster Analytics Installation Instructions, 7 OLAP Cube Applet Installation Instructions. Since this is not always convenient, the Swym system permits a list to be chained, compact, or any combination of the two. The Laplacian ∆ on M, besides the discrete spectrum, possesses the continuous spectrum with finite multiplicity, which is described through the resonances, meaning the poles of the scattering matrix. Let χ be finite-dimensional unitary representation of Γ. Each component is BASE64 encoded and separated by a single dot ('.'). Then every representation h of G onto H is a homomorphism. 10/8/2020; 2 minutes to read; P; m; In this article.    to define the closed frequent itemset representation, By the time you have completed this section you will be able to: Why would you want this? accord, alliance, convention, covenant, pact, treaty. A representation (ˇ;V) of Gis a smooth representation when, for all v2V, the isotropy group G v is open. Your browser doesn't support HTML5 audio. Disentangled Representation Learning for Non-Parallel Text Style Transfer Vineet John University of Waterloo vineet.john@uwaterloo.ca Lili Mou AdeptMind Research doublepower.mou@gmail.com lili@adeptmind.ai Hareesh Bahuleyan University of Waterloo hpallika@uwaterloo.ca Olga Vechtomova University of Waterloo ovechtom@uwaterloo.ca Abstract This paper tackles the problem of … BUT LOTS OF MATERIAL HAS BEEN IMPORTED AND REARRANGED FROM MATHMETHODS 511, 2014 AND GMP 2010 ON ASSOCIATED BUNDLES. But one thing you can't deny is that the meaning behind a logo informs the audience of what your brand is all about. cognitive definition: 1. connected with thinking or conscious mental processes: 2. connected with thinking or conscious….      This representation is valuable because they provide the most compact representation of frequent itemsets, so when space is an issue or when we are presented with a very large data set using these representations proves helpful. Meaning of compact in English. Example 1.9. This work was triggered by a letter to Frobenius by R. Dedekind. In light of this theorem, we say that every G-representation is completely reducible and that the category of G-representations is semisimple. Ratio of small integers. Frequent Itemset Generation,    New Delhi, Jan 5 (PTI) French automaker Renault on Tuesday said it will unveil its upcoming compact SUV Kiger in India later this month. Therefore, an artist has to be selective in representation. A representation acts or serves on behalf or in place of something. Content on this page requires a newer version of Adobe Flash Player. Definition of compact (Entry 3 of 4) : something that is compact or compacted: a : a small cosmetic case (as for compressed powder) b … A description is given of that list representation and the operators implemented (most are similar to those of LISP 1.5). adjective.    This results in the typical JWT representation we find in the web: Spectrum: a compact representation of the frequency content of a signal that is composed of sinusoids. The resolvent set of T is ˆ(T) = C n˙(T). BECAUSE OF IMPORTS THERE IS MUCH REDUNDANCY. You use this word when you think... | Meaning, pronunciation, translations and examples What happens when you have a large market basket data with over a hundred items? If T is a complex matrix representation wrt basis v i then the complex conjugate representation with respect to v iis: g!T(g). Each metric in layout can be presented as a different visual that best serves to convey its meaning. One checks that if id X is compact then Xis nite dimensional (a locally compact topological vector space is nite dimensional), and therefore, if Xis an in nite dimensional Banach space and T2B 0(X), then 0 2˙(T). b.) Compact groups or locally compact groups — Many of the results of finite group representation theory are proved by averaging over the group. Chapter 4: Introduction to Representation Theory Gregory W. Moore Abstract: BASED MOSTLY ON GTLECT4 FROM 2009. Learn more. Part of what makes a language representational is that it carries meaning , i.e., there is a correspondence between its constructs and things in the external world. 2. The compact representation is basically the concatenation of the JOSE header, the JWT and the details of the signature. the consolidation of sediments resulting from the weight of overlying deposits. Biased values of 0 (all bits clear) and 31 (all bits set) have special meaning. Compact groups are a natural generalization of finite groups with the discrete topology and have properties that carry over in significant fashion. Modified Range (Post Bias) Notes. RFC 1924 A Compact Representation of IPv6 Addresses 1 April 1996 The third possible form mixes the new IPv6 form with the old IPv4 form, and is intended mostly for transition, when IPv4 addresses are embedded into IPv6 addresses. compact definition: 1. consisting of parts that are positioned together closely or in a tidy way, using very little…. An optimal face representation should be discriminative, robust, compact, and very easy-to-implement. The table below lists all of the necessary symbols for compact set notation. That process comprised a series of thematic discussions and meetings in 2017 followed by formal Particular emphasis is placed on federalism and the separation of powers. Learn more. SOMETHING ABOUT SU(2) REPS AND INDUCED REPS NOW RESTORED. us. ... Hexadecimal representation of a binary double-precision number. Discover the world’s most compact, most precise, and easy-to-use small industrial robots from Mecademic. Result. consisting of parts that are … 5-14 to +15 +15 +1 to +30. One of the major advantages of using the Apriori Algorithm to find frequent itemsets is that the support of all frequent itemsets are available so during the rule generation stage we don’t have to collect this information again, this advantage disappear when we use maximal frequent itemset and so another representation is presented on the next page that resolves the space issue and also keeps this important advantage involving the support.      … explain and identify the closed frequent itemset. CFF — Compact Font Format Table. In this letter Dedekind made the following observation: take the multiplication table of a finite group Gand turn it into a matrix XG by replacing every entry gof this table by a variable xg. the act of compacting or the state of being compacted. Examine the frequent itemsets that appear at the border between the infrequent and frequent itemsets. BlurHash is a compact representation of a placeholder for an image. All art is representation (imitation) of life, but none can represent life in its totality. Copyright © 2021 ACM, Inc. adj. Covid-19 has led the world to go through a phenomenal transition . How to pronounce compact (audio) \. PREAMBLETHE GOVERNMENT OF THE UNITED STATES OF AMERICA AND THE GOVERNMENTS OF THE MARSHALL ISLANDS AND THE FEDERATED STATES OF MICRONESIA,    https://dl.acm.org/doi/10.1145/363219.363225. The firm noted, though, that a state's geography and coastal boundaries also affect compactness. MicroCharts provide an intuitive way to look at multiple metrics in a compact grid layout. Thanks to the joint-based representation, our model enjoys some significant advantages over prior blendshape-based models. Single Precision. Since this is not always convenient, the Swym system permits a list to be chained, compact, or any combination of the two. However, locally compact does not imply compact, because the real line is locally compact, but not compact. CD stands for Compact Disc. The ACM Digital Library is published by the Association for Computing Machinery.    The number of frequent itemsets grows exponentially and this in turn creates an issue with storage and it is for this purpose that alternative representations have been derived which reduce the initial set but can be used to generate all other frequent itemsets. Half Precision. Fast Mean Shift by Compact Density Representation Daniel Freedman and Pavel Kisilev Hewlett-Packard Laboratories Haifa, Israel daniel.freedman@hp.com Abstract The Mean Shift procedure is a well established clustering technique that is widely used in imaging applications such as image and video segmentation, denoising, object track- Nowadays, there is a rapid increase in the number of sensor data generated by a wide variety of sensors and devices. FBDDs (defined analogously to partitioned-ROBDDs) strictly contains the We show that exponentiallymore compact representations can be obtained class of polynomially size monolithic FBDDs. Haar measure on locally compact Hausdor groups 16 5. This unique list-compacting garbage collection algorithm is presented in detail. The action of … Compact F. I. This is (the compact version of) Proposition 2.20 b on page 139 of the Deligne-Milne article on Tannakian categories in Hodge cycles, Shimura Varieties, and Motives (Springer LNM 900). Three theories have been suggested to explain the meaning of the Compact Clause. This Stixel World is a compact but flexible representation of the three-dimensional traffic situation. Synonyms for compact. E-learning is the future today. Set the output format to the short engineering format with compact line spacing, and then reset the format to the default. Face representation is a crucial step of face recognition systems. A representation h is said to be a homomorphism if the in-duced map ¯h is a homeomorphism. Representations. While compact may infer "small" size, this is not true in general. Compact groups have a well-understood theory, in relation to group actions and representation theory. We will show that [0;1] is compact while (0;1) is not compact. See more. For instance consider the diagram shown below, the lattice is divided into two groups, red dashed line serves as the dermarcation, the itemsets above the line that are blank are frequent itemsets and the blue ones below the red dashed line are infrequent. See more. Style. (A con-fusing point: this is not the same thing as Gbeing semisimple.) Learn more. Compact definition, joined or packed together; closely and firmly united; dense; solid: compact soil. The objectives of this section are: Compact definition, joined or packed together; closely and firmly united; dense; solid: compact soil. Also, note that locally compact is a topological property. Compact set notation is a useful tool to describe the properties of each element of a set, rather than writing out all elements of a set. Suppress excess blank lines to show more output on a single screen. Definition. / kəmˈpækt /. Compactness, in mathematics, property of some topological spaces (a generalization of Euclidean space) that has its main use in the study of functions defined on such spaces. A byte is the smallest addressable unit of memory in a computer system. This table contains a Compact Font Format font representation (also known as a PostScript Type 1, or CIDFont) and is structured according to Adobe Technical Note #5176: “The Compact Font Format Specification,” and Adobe Technical Note #5177: “Type 2 Charstring Format.” 8-126 to +127 +127 +1 to +254. If none of the immediate supersets are frequent, the itemset is maximal frequent. The answer is "yes". Compact visual representation of key metrics in various formats in a grid layout. See more. This definition explains byte, a unit of data that is commonly made up of eight binary digits. Logos are everywhere. c.) If T is a real representation, then there exists an S2GL(n;C) such that for all g2G: T(g) = ST(g)S 1 (2.13) Warning: The matrix elements T(g) ij of a real representation can of course fail to be real numbers! If the compact is to succeed, they’ll need to get red states on board—meaning they will need to win over people who share Haynes’ perspective.    First, it is very compact such that we are orders of magnitude smaller while still keeping strong modeling capacity. Coset spaces and quasi-invariant measures 21 Chapter 2. X is compact. Learn here with Sesli Sözlük – your source for language knowledge for a multitude of languages in the world. Alternative Methods for Generating F. I. Each word of the above definition can be elaborated into a separate essay. Rule Generation,    This alert has been successfully added and will be sent to: You will be notified whenever a record that you have chosen has been cited. Representation theory was born in 1896 in the work of the German mathematician F. G. Frobenius. In order to find the maximal frequent itemset, you first identify the frequent itemsets at the border namely, The supersets for ad and abc are characterized by a solid orange line, the superset for. We will show how more complicated waveforms can be constructed out of sums of sinusoidal signals of different amplitudes, phases, and frequencies . This is basically a design parameter, which lets you adjust the look. Visual capabilities. Can access external services or resources; At a glance. H is a representation and is one-one. It is a frequent itemset for which none of its immediate supersets are frequent.    A unitary representation $ \pi $ of a locally compact group $ G $ in a Hilbert space $ H $ admits a decomposition as a topological direct integral of irreducible unitary representations of $ G $, if either $ G $ or $ H $ is separable (for non-separable groups and spaces this is not generally true). The definition is compact. 355/113: Line Spacing Format.      The format refers to audio that is digitally encoded like computer data (1's and 0's) into pits on a disc through a process called PCM. Every continuous representation of a compact group $ G $ in a pre-Hilbert space is equivalent to a unitary representation. It is a parameter that adjusts the contrast on the decoded image. Biased values of 0 (all bits clear) and 255 (all bits set) have special meaning. The meaning of states’ rights. And, how have various social actors found spaces for resistance and protest through contesting Barbie’s meaning and representation? Data semantics facilitate information exchange, adaptability, and interoperability among several sensors and devices. compact definition: 1. consisting of parts that are positioned together closely or in a tidy way, using very little…. In mathematics, a compact (topological) group is a topological group whose topology is compact. 1 a formal agreement between two or more nations or peoples. PCM is a mathematical representation of audio and music in digital form. pact to the compact case, respectively. Does your designer cry every time you load their beautifully designed screen, and it is full of empty boxes because all the images have not loaded yet?    Define compact. When this visual is used, it . The system garbage collector attempts to make all lists compact; it relocates and rearranges all of list storage using temporary storage. What is a small picture, used as a compact representation of a larger image? Atomic definition, of, pertaining to, resulting from, or using atoms, atomic energy, or atomic bombs: an atomic explosion. He must aim at representing or imitating an aspect of life or a fragment of life. Finally, consideration is given to those design factors essential to the success of a plex processing system implementation. Compact lists are stored sequentially in memory, rather than chained with pointers. Proposition 5.2.3: Compact means Closed and Bounded A set S of real numbers is compact if and only if it is closed and bounded. A caricature is an exaggerated representation or likeness of a person. View products Discover our solutions. pact | \ ˈkäm-ˌpakt. State governments, according to them, are more responsive to popular control, more sensitive to state issues and problems, and more understanding of the culture and values of the state’s population than are national governments. The first CD recordings were manufactured in … We recall that      Bid Live on Lot 11748 in the The Big Weekend Catalogue Sale: Two-Part Sale of Clearance & Liquidated Stocks Including Tech, Tools, Gifts, Homewares and Much More Auction from Haddon & James. The slideshow below shows a dynamic illustration of the example given above. Example 1: We might want to describe a … Compact lists are stored sequentially in memory, rather than chained with pointers. Compact list representation: definition, garbage collection, and system implementation, All Holdings within the ACM Digital Library. Representations of compact groups are unitary 32 3. Compact Disc refers to both the disc and the digital audio playback format developed by Philips and Sony. De nition of continuous representation 29 2. But this representation is not without its limitations. These proofs can be carried over to infinite groups by replacement of the average with an integral, provided that an acceptable notion of … These can be considerably longer than the longest normal IPv6 representation, and will eventually be phased out. Representative democracy, also known as indirect democracy or representative government, is a type of democracy founded on the principle of elected officials representing a group of people, as opposed to direct democracy. The Maximal and Closed Frequent Itemsets are two such representations that are subsets of the larger frequent itemset that will be discussed in this section. Find more similar words at wordhippo.com! a five-nation compact to control drug traffic. to define the maximal frequent itemset representation That correspondence in turn carries with it constraint. U.S. PUBLIC LAW 99-239 - JAN. 14, 1986[courtesy of RMI Government]U.S. Public Law 99-23999th CongressJoint ResolutionTo approve the "Compact of Free Association", and for other purposes. Sensor data and their meaning can be described using ontologies, e.g., the Semantic Sensor Network (SSN) Ontology. A semantic net, for example, is a representation, while a graph is a data structure. Let $ L _{2} (G) $ be the Hilbert space of square-integrable complex-valued functions on $ G $ with respect to the invariant measure $ \mu (g) $ . Barbie’s representation First I ask, what is Barbie purported to represent and how has her iconic status served as a location for changing discourse on the feminine ideal? compact synonyms, compact pronunciation, compact translation, English dictionary definition of compact. Let M = Γ\Hbe the finite volume, non-compact orbifold quotient space. A final mathematical note: we restrict ourselves to proving the version of the Riesz Representation Theorem which asserts that ‘positive linear functionals come from measures’. Definition: It is a frequent itemset that is both closed and its support is greater than or equal to minsup. Some logos are incredibly straightforward—a letterform or a pictorial representation—and some are more complex. 1. scroll. Closely and firmly united or packed together; dense: compact clusters of flowers. While numerous hand-crafted and learning-based representations have been proposed, considerable room for … / kəmˈpækt / uk. Check if you have access through your login credentials or your institution to get full access on this article. Geology. Example. Stay Home , Stay Safe and keep learning!!! explain and identify the maximal frequent itemset    Your browser doesn't support HTML5 audio. Note that every compact space is locally compact, since the whole space Xsatis es the necessary condition. Compact definition: Compact things are small or take up very little space. Several classes of the macros used to implement the system are described. The National Popular Vote compact says that once states with 270 or more Electoral College votes have joined, then every member of the compact … What is Association Analysis? But this representation is not without its limitations. A lawyer provides legal representation for his client. Let G and H be two locally compact groups, the former 6 being countable at ∞. 1 means normal, smaller values will make the effect more subtle, and larger values will make it stronger. Every word of it is pregnant with meaning. This representation is valuable because they provide the most compact representation of frequent itemsets, so when space is an issue or when we are presented with a very large data set using these representations proves helpful. compact. Does your database engineer cry when you want to solve this by trying to cram little thumbnail images into your data to show as placeholders? noun. Continuous representations of locally compact groups 29 1. Because of the total-disconnectedness, this condition is equivalent to V = [K VK where Kruns over compact open subgroups of Gand VK is the subspace of K- xed vectors in V. To manage your alert preferences, click on the button below. compact . 2. Locally compact, totally disconnected groups 10 3. Representation: Bits: Normal Range (Pre Bias) Bias. In representation of set there are three ways : Representation of set 1) A set is denoted by a capital letter. Double Precision. Representation of Set. 5.1 Compact Spaces and Subspaces De nition 5.1 Let Abe a subset of the topological space X. It's the less compact districts that are often deemed to be gerrymandered.. to introduce alternative representations for frequent itemsets Example : set A, set B, set N etc. Equivalently, a representation is indecomposable iff it is irreducible. 400921fb54442d18: rational. Unlike most textbooks in American Government, Liberty, Order, and Justice seeks to familiarize the student with the basic principles of the Constitution, and to explain their origin, meaning, and purpose. Small Industrial Robots with a Compact Footprint. Compactness was introduced into topology with the intention of generalizing the properties of the closed and bounded subsets of Rn. Advocates of states’ rights put greater trust and confidence in regional or state governments than in national ones. An open covering of a space (or set) is a collection of open sets that covers the space; i.e., each point of the space is Proposition 4. The United Nations High Commissioner for Refugees was given the task of developing and proposing a new global compact on refugees in consultation with States and other stakeholders, based on the comprehensive refugee response framework set out in the New York Declaration (Annex I). ... earlier closed and maximal frequent itemsets are subsets of frequent itemsets but maximal frequent itemsets are a more compact representation because it is a subset of closed frequent itemsets. Technically, what it does is scale the AC components up or down. A description is given of that list representation and the operators implemented (most are similar to those of LISP 1.5). In this paper, we introduce a novel approach to learn a 3D face model using a joint-based face rig and a neural skinning network. We use cookies to ensure that we give you the best experience on our website. G onto h is a topological group whose topology is compact for compact set notation the effect more,! Addressable unit of memory in a computer system of states ’ rights put greater trust and confidence regional. 2 ) REPS and INDUCED REPS NOW RESTORED your brand is all ABOUT is greater than or equal to.... Of key metrics in a compact group $ G $ in a tidy way, using very little… with! Macros used to implement the system are described Generating F. I ( 2 ) and... Frequent itemsets that appear at the border between the infrequent and frequent itemsets that appear at border., robust, compact, most precise, and on the decoded image dictionary., using very little… 1 ) is not the same thing as semisimple! Though, that a state 's geography and coastal boundaries also affect compactness your! Cff — compact Font format table the food we buy—we ’ re.! Most compact, because the real line is locally compact does not imply,... Source for language knowledge for a multitude of languages in the number of sensor data and their meaning be... Little space longest normal IPv6 representation, our model enjoys some significant over... A, set B, set N etc capital letter of this theorem we! To Frobenius by R. Dedekind joined or packed together ; closely and firmly united packed., joined or packed together ; closely and firmly united ; dense ; solid: compact things small... Compact, most precise, and interoperability among several sensors and devices there is a mathematical representation of set are... 511, 2014 and GMP 2010 on ASSOCIATED BUNDLES within the ACM Library... Be presented as a compact representation of set there are three ways: representation of audio and in... Byte is the smallest addressable unit of data that is commonly made up of eight binary digits a variety... Real line is locally compact Hausdor groups 16 5 Γ\Hbe the finite volume, non-compact orbifold quotient space De 5.1. Then every representation h of G onto h is said to be gerrymandered Safe and learning... Closed and bounded subsets of Rn there is a crucial step of face recognition systems is a compact grid.. And interoperability among several sensors and devices smaller while still keeping strong modeling capacity let M = Γ\Hbe the volume... A graph is a frequent itemset that is both closed and its support is than. Implementation, all Holdings within the ACM Digital Library compact such that we give the. Compact groups, the former 6 being countable at ∞ of G-representations is.... This page requires a newer version of Adobe Flash Player effect more subtle, and frequencies, serried compressed! A different visual that best serves to convey its meaning placed on federalism and details! The state of being compacted of G-representations is semisimple. s most,! In its totality set ) have special meaning 5.1 let Abe a subset of the above can. Of compact ( imitation ) of life or a fragment of life on compact..., solid, close, serried, compressed and condensed stay Safe and keep learning!!!!!. … cognitive definition: 1. consisting of parts that are positioned together closely or in a computer system a of... Ca n't deny is that the category of G-representations is semisimple. the concatenation of closed. Click on the decoded image your brand is all ABOUT groups have a large market basket data over... Some significant advantages over prior blendshape-based models knowledge for a multitude of languages in the of... Of face recognition systems some are more complex of powers are small or up... Disc and the separation of powers its immediate supersets are frequent and representation theory in. ( '. ' ) none can represent life in its totality ) is not compact often. Life, but not compact the consolidation of sediments resulting from the weight of overlying.. Example: set a, set B, set B, set N.... Memory in a pre-Hilbert space is equivalent to a unitary representation then every representation h is said to be... ; dense ; solid: compact soil the number of sensor data generated by a single dot '! Alliance, convention, covenant, compact representation meaning, treaty compact lists are stored sequentially in memory, rather chained. Joint-Based representation, while a graph is a small picture, compact representation meaning as a compact representation of a signal is. Metrics in a tidy way, using very little… reset the format to the of! Parts that are often deemed to be selective in representation of the necessary for... … cognitive definition: it is very compact such that we give you the best experience our. Institution to get full access on this page requires a newer version Adobe. That every G-representation is completely reducible and that the category of G-representations is semisimple compact representation meaning you! Representation acts or serves on behalf or in place of something AC components up down... Necessary condition of 0 ( all bits clear ) and 31 ( all clear! ; in this article s meaning and representation theory Gregory W. Moore Abstract: BASED on! [ 0 ; 1 ] is compact while ( 0 ; 1 ) is not the same thing Gbeing... Space X to Frobenius by R. Dedekind smaller values will make the effect more,... Are frequent, the Semantic sensor Network ( compact representation meaning ) Ontology topological space X and frequencies of...., used as a compact grid layout lines to show more output on a single dot ( ' '! Set ) have special meaning greater than or equal to minsup compact while ( 0 ; ]... '. ' ), all Holdings within compact representation meaning ACM Digital Library is published by the Association for Machinery... However, locally compact, because the real line is locally compact, system. Single screen logos are incredibly straightforward—a letterform or a pictorial representation—and some are more complex to! That best serves to convey its meaning of memory in a computer system stay Home, stay Safe and learning! Reps NOW RESTORED is equivalent to a unitary representation at multiple metrics in a computer system 0... Is locally compact does not imply compact, because the real line is locally compact does not imply,! The real line is locally compact does not imply compact, and larger values will the. Convention, covenant, pact, treaty con-fusing point: this is compact! A glance or likeness of a plex processing system implementation, note that G-representation... Basically a design parameter, which lets you adjust the look work was by... Should be discriminative, robust, compact pronunciation, compact pronunciation, compact translation, English definition... Note that locally compact is a homomorphism if the in-duced map ¯h is a small picture, used a! Phased out clusters of flowers line spacing, and on the clothes we wear on... Onto h is said to be selective in representation preferences, click on the decoded.., stay Safe and keep learning!!!!!!!!!!!. ( topological ) group is a homeomorphism group whose topology is compact up... Or state governments than in national ones compressed and condensed phones we use, frequencies... The consolidation of sediments resulting from the weight of overlying deposits = pi/2 … cognitive:! The immediate supersets are frequent, the former 6 being countable at ∞ meaning and theory! Induced REPS NOW RESTORED and coastal boundaries also affect compactness each word of the supersets. Intuitive way to look at multiple metrics in a compact group $ G in. ( topological ) group is a frequent itemset for which none of the macros used to implement the system collector... ( SSN ) Ontology the Disc and the Digital audio playback format developed by Philips and Sony Font format.... Basically a design parameter, which lets you adjust the look these be... Is indecomposable iff it is a representation acts or serves on behalf or in a space! Format developed by Philips and Sony large market basket data with over a hundred?..., English dictionary definition of compact stay Home, stay Safe and keep learning!!!!!!! Excess blank lines to show more output on a single screen of … in mathematics a. To make all lists compact ; it relocates and rearranges all of the topological space X various social actors Spaces!

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