Relevant bibliographies by topics / 2-minors ideals

Academic literature on the topic '2-minors ideals'

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Published: 11 March 2023

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Journal articles on the topic "2-minors ideals"

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Herzog, Jürgen, and Takayuki Hibi. "Ideals generated by adjacent 2-minors." Journal of Commutative Algebra 4, no. 4 (December 2012): 525–49. http://dx.doi.org/10.1216/jca-2012-4-4-525.

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Ene, Viviana, and Ayesha Asloob Qureshi. "Ideals Generated by Diagonal 2-Minors." Communications in Algebra 41, no. 8 (August 3, 2013): 3058–66. http://dx.doi.org/10.1080/00927872.2012.672603.

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Katsabekis, A. "Toric ideals and diagonal 2-minors." Acta Mathematica Hungarica 150, no. 1 (August 23, 2016): 83–98. http://dx.doi.org/10.1007/s10474-016-0651-9.

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Ohtani, Masahiro. "Graphs and Ideals Generated by Some 2-Minors." Communications in Algebra 39, no. 3 (March 16, 2011): 905–17. http://dx.doi.org/10.1080/00927870903527584.

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Ohsugi, Hidefumi, and Takayuki Hibi. "Toric Ideals of Finite Graphs and Adjacent 2-Minors." MATHEMATICA SCANDINAVICA 114, no. 2 (May 6, 2014): 185. http://dx.doi.org/10.7146/math.scand.a-17105.

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Conca, A., E. De Negri, and E. Gorla. "Universal Gröbner Bases and Cartwright–Sturmfels Ideals." International Mathematics Research Notices 2020, no. 7 (April 25, 2018): 1979–91. http://dx.doi.org/10.1093/imrn/rny075.

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Abstract The main theoretical contribution of the paper is the description of two classes of multigraded ideals named after Cartwright and Sturmfels and the study of their surprising properties. Among other things we prove that these classes of ideals have very special multigraded generic initial ideals and are closed under several operations including arbitrary multigraded hyperplane sections. As a main application we describe the universal Gröbner basis of the ideal of maximal minors and the ideal of 2-minors of a multigraded matrix of linear forms generalizing earlier results of various authors including Bernstein, Sturmfels, Zelevinsky, and Boocher.
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Chaudhry, Faryal, and Ayesha Asloob Qureshi. "Hankel ideals of 2-minors associated with pairs of proper intervals graphs." Journal of Algebra and Its Applications 16, no. 04 (April 2017): 1750070. http://dx.doi.org/10.1142/s0219498817500700.

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Ene, Viviana, Jürgen Herzog, Takayuki Hibi, and Ayesha Asloob Qureshi. "The binomial edge ideal of a pair of graphs." Nagoya Mathematical Journal 213 (March 2014): 105–25. http://dx.doi.org/10.1215/00277630-2389872.

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AbstractWe introduce a class of ideals generated by a set of 2-minors of an (m×n)-matrix of indeterminates indexed by a pair of graphs. This class of ideals is a natural common generalization of binomial edge ideals and ideals generated by adjacent minors. We determine the minimal prime ideals of such ideals and give a lower bound for their degree of nilpotency. In some special cases we compute their Gröbner basis and characterize unmixedness and Cohen–Macaulayness.
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Ene, Viviana, Jürgen Herzog, Takayuki Hibi, and Ayesha Asloob Qureshi. "The binomial edge ideal of a pair of graphs." Nagoya Mathematical Journal 213 (March 2014): 105–25. http://dx.doi.org/10.1017/s0027763000026192.

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AbstractWe introduce a class of ideals generated by a set of 2-minors of an (m×n)-matrix of indeterminates indexed by a pair of graphs. This class of ideals is a natural common generalization of binomial edge ideals and ideals generated by adjacent minors. We determine the minimal prime ideals of such ideals and give a lower bound for their degree of nilpotency. In some special cases we compute their Gröbner basis and characterize unmixedness and Cohen–Macaulayness.
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Udpikar, Shrinivas G. "On Hilbert polynomial of certain determinantal ideals." International Journal of Mathematics and Mathematical Sciences 14, no. 1 (1991): 155–62. http://dx.doi.org/10.1155/s0161171291000157.

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LetX=(Xij)be anm(1)bym(2)matrix whose entriesXij,1≤i≤m(1),1≤j≤m(2); are indeterminates over a fieldK. LetK[X]be the polynomial ring in thesem(1)m(2)variables overK. A part of the second fundamental theorem of Invariant Theory says that the idealI[p+1]inK[X], generated by(p+1)by(p+1)minors ofXis prime. More generally in [1], Abhyankar defines an idealI[p+a]inK[X], generated by different size minors ofXand not only proves its primeness but also calculates the Hilbert function as well as the Hilbert polynomial of this ideal. The said Hilbert polynomial is completely determined by certain integer valued functionsFD(m,p,a). In this paper we prove some important properties of these integer valued functions.
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Dissertations / Theses on the topic "2-minors ideals"

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Mascia, Carla. "Ideals generated by 2-minors: binomial edge ideals and polyomino ideals." Doctoral thesis, Università degli studi di Trento, 2020. http://hdl.handle.net/11572/252052.

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Since the early 1990s, a classical object in commutative algebra has been the study of binomial ideals. A widely-investigated class of binomial ideals is the one containing those generated by a subset of 2-minors of an (m x n)-matrix of indeterminates. This thesis is devoted to illustrate some algebraic and homological properties of two classes of ideals of 2-minors: binomial edge ideals and polyomino ideals. Binomial edge ideals arise from finite graphs and their appeal results from the fact that their homological properties reflect nicely the combinatorics of the underlying graph. First, we focus on the binomial edge ideals of block graphs. We give a lower bound for their Castelnuovo-Mumford regularity by computing the two distinguished extremal Betti numbers of a new family of block graphs, called flower graphs. Moreover, we present a linear time algorithm to compute Castelnuovo-Mumford regularity and Krull dimension of binomial edge ideals of block graphs. Secondly, we consider some classes of Cohen-Macaulay binomial edge ideals. We provide the regularity and the Cohen-Macaulay type of binomial edge ideals of Cohen-Macaulay cones, and we show the extremal Betti numbers of Cohen-Macaulay bipartite and fan graphs. In addition, we compute the Hilbert-Poincaré series of the binomial edge ideals of some Cohen-Macaulay bipartite graphs. Polyomino ideals arise from polyominoes, plane figures formed by joining one or more equal squares edge to edge. It is known that the polyomino ideal of simple polyominoes is prime. We consider multiply connected polyominoes, namely polyominoes with holes, and observe that the non-existence of a certain sequence of inner intervals of the polyomino, called zig-zag walk, gives a necessary condition for the primality of the polyomino ideal. Moreover, by computational approach, we prove that for all polyominoes with rank less than or equal to 14 the above condition is also sufficient. Lastly, we present an infinite class of prime polyomino ideals.
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Mascia, Carla. "Ideals generated by 2-minors: binomial edge ideals and polyomino ideals." Doctoral thesis, Università degli studi di Trento, 2020. http://hdl.handle.net/11572/252052.

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Since the early 1990s, a classical object in commutative algebra has been the study of binomial ideals. A widely-investigated class of binomial ideals is the one containing those generated by a subset of 2-minors of an (m x n)-matrix of indeterminates. This thesis is devoted to illustrate some algebraic and homological properties of two classes of ideals of 2-minors: binomial edge ideals and polyomino ideals. Binomial edge ideals arise from finite graphs and their appeal results from the fact that their homological properties reflect nicely the combinatorics of the underlying graph. First, we focus on the binomial edge ideals of block graphs. We give a lower bound for their Castelnuovo-Mumford regularity by computing the two distinguished extremal Betti numbers of a new family of block graphs, called flower graphs. Moreover, we present a linear time algorithm to compute Castelnuovo-Mumford regularity and Krull dimension of binomial edge ideals of block graphs. Secondly, we consider some classes of Cohen-Macaulay binomial edge ideals. We provide the regularity and the Cohen-Macaulay type of binomial edge ideals of Cohen-Macaulay cones, and we show the extremal Betti numbers of Cohen-Macaulay bipartite and fan graphs. In addition, we compute the Hilbert-Poincaré series of the binomial edge ideals of some Cohen-Macaulay bipartite graphs. Polyomino ideals arise from polyominoes, plane figures formed by joining one or more equal squares edge to edge. It is known that the polyomino ideal of simple polyominoes is prime. We consider multiply connected polyominoes, namely polyominoes with holes, and observe that the non-existence of a certain sequence of inner intervals of the polyomino, called zig-zag walk, gives a necessary condition for the primality of the polyomino ideal. Moreover, by computational approach, we prove that for all polyominoes with rank less than or equal to 14 the above condition is also sufficient. Lastly, we present an infinite class of prime polyomino ideals.
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Book chapters on the topic "2-minors ideals"

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Herzog, Jürgen, Takayuki Hibi, and Hidefumi Ohsugi. "Ideals Generated by 2-Minors." In Binomial Ideals, 239–70. Cham: Springer International Publishing, 2018. http://dx.doi.org/10.1007/978-3-319-95349-6_8.

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Peng, Xi, and Jiu Zhou. "Innovative Design on Digital Jacquard with 2:1 Weft-Backed Structure." In Frontiers in Artificial Intelligence and Applications. IOS Press, 2022. http://dx.doi.org/10.3233/faia220024.

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In order to inherit and innovate traditional weft-backed structure jacquard fabric, a design principle and method of digital jacquard with 2:1 weft-backed structure was proposed. Based on the in-depth analysis of the characteristics of the traditional 2:1 weft-backed structure, four digital structural models (A1, A2, B1 and B2) with shaded weave were built by using digital jacquard technology. It lays a theoretical foundation for the creation of four kinds of digital jacquard fabrics with colour shading effects. In addition, the combined application of model A1 and model B1 was taken as an example to illustrate the design method. The resulting fabric had a delicate and natural colour shading effect. And its main and minor motifs were clearly distinguished. Meanwhile, the colour expression was increased while the yarn utilisation and production efficiency were improved. The principle and method proposed in this paper can create a wide variety of digital jacquard fabrics with colour shading effects, which provides ideas for the structural innovation and variety design of traditional jacquard fabrics.
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Kurematsu, Masaki. "A Study on an Imbalanced Data Processing Method with Maharanobis-Taguchi System." In Frontiers in Artificial Intelligence and Applications. IOS Press, 2022. http://dx.doi.org/10.3233/faia220298.

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Imbalance data processing is one of big issues for machine learning. There are some proposed approaches. On the other hand, Maharanobis-Taguchi System (MTS) is a well-known approach in quality engineering. Although the target of both researches are similar, there are few researches combining these methods. In this paper, we focus on the similarity between them and propose a method to handle the imbalance data with MTS. Our proposal makes 2 prediction models, one is based on MTS and the other is based on a machine learning algorithm, from imbalanced data as following steps. First, it divides the training data into the major class, the minor class and the border class by Maharanobis distance gotten by MTS. Secondly, it makes a prediction model from the border class using a machine learning algorithm. This model is the second prediction model. In order to classify new instances, our proposed idea classifies by the first model based on MTS firstly. If it is classified in the major or minor class, the method answers this classification result, otherwise, it classifies by the second models based on a machine learning algorithm. In order to evaluate this idea, we handle some the imbalanced data by our idea and other methods and compare those results. Although the experimental result doesn’t show the advantage of our idea, we get the suggestion for improving our approach.
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Hejduk, Julia Dyson. "Tibullus." In The God of Rome, 156–68. Oxford University Press, 2020. http://dx.doi.org/10.1093/oso/9780190607739.003.0004.

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Despite playing a relatively minor role in Tibullan elegy, Jupiter exhibits a remarkable range of activities and symbolic valences. Book 1 makes the god, like Messalla, primarily a foil and competitor to the values of the elegiac world. As Messalla is introduced fighting on land and sea while the poet languishes before his mistress’s troublesome door, so Jupiter is introduced as the wielder of the rain and thunderbolts that could penetrate that door. Jupiter the dominus, in fact, is the one who brought into being Messalla’s world of war, wounds, and “roads” of death. Priapus’s insistence that Jupiter forbade lovers’ oaths to be binding implicitly casts Jupiter as one with a background in amorous perjury; as with Messalla’s imagined epiphany in the following poem, the god enters the elegiac sphere to succeed where the poet fails. The Nile’s supplantation of “rainy Jupiter” as the all-encompassing husband and father aligns with Tibullus’s covert exclusion of Augustus from his pastoral world. Jupiter’s transformation in book 2 into the victorious god of Rome signals Tibullus’s changing purposes. Like Virgil, Tibullus hints at the inherent instability of the Golden Age ideal, since Jupiter’s expulsion of Saturn signals the end of a utopian era even as Augustus’s victory clears the way for a new one. When Jupiter assigns the Laurentian fields to the proto-Romans, he is lodged between flitting Love and flitting Victory. Whether stability or instability will predominate is something not even the Sibyl can foresee.
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Conference papers on the topic "2-minors ideals"

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Hanawa, Kirk. "Thermodynamic Performance Analyses of Mixed Gas-Steam Cycle (2): A Case Study of Aeroderivative Gas Turbine." In ASME 1998 International Gas Turbine and Aeroengine Congress and Exhibition. American Society of Mechanical Engineers, 1998. http://dx.doi.org/10.1115/98-gt-118.

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There are a plenty of proposals to aim the gas turbine cycle thermal efficiency of 60%, such as “Steam-Cooled H-Tech. Combined Cycle”, “Methanol Conversion Regenerative Gas Turbine”, “Kalina Cycle” etc.*1, *2, *4, *5, *6, *7 This paper discusses the predicted performance behaviors of an assumed aircraft-derivative GT of 60MW, when applying into mixed gas-steam cycles like STIG, ISTIG(Intercooled Steam Injection GT) with reasonable minor modifications from the assumed gas turbine. By making case studies of steam-injected binary cycles according to the established analyses method in Part (1), typical calculation results for getting 60% efficiency are presented. The water-injected at LPC, ISTIG cycle is equivalent or superior to other improvement ideas, offering several features listed below. 1) Unnecessary to have a bottoming cycle, saving a lot of investment for the related equipment 2) Quick and stable response for changing duty load, by injecting metered water and steam without air holding vessels like water-cooled heat exchangers
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Hockett, R. S. "A New Technique for Quantitative Elemental Analysis of the Near Surface Region (<3nm) of Planar Solids." In Microphysics of Surfaces, Beams, and Adsorbates. Washington, D.C.: Optica Publishing Group, 1989. http://dx.doi.org/10.1364/msba.1989.wc5.

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The effective study of molecular physics of beam-activated chemical reactions would benefit from measuring the near surface (<3nm) elemental composition. Ideally, the quantitative composition would provide not only the major and minor constituents, as is done by ESCA and AES, but also the trace constituents which may contribute to catalytic or inhibitor effects for the reaction of interest. An example of a possible catalytic effect is the role of Fe on the reaction of nitrogen with the silicon surface [1]. A new analytical technique, Total Reflection X-Ray Fluorescence (TXRF) analysis, may non-destructively provide some of this information (elements with atomic number above 13) when the sample is planar. An example application related to beam/surface interactions would be the pre- and post-processing measurement of trace heavy metals on silicon wafers where the cleaning process uses UV-irradiation to activate the removal of trace metals [2].
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Hanawa, Kirk. "An Ericsson Cycle GT Design by LNG Cryogenic Heat Utilization." In ASME Turbo Expo 2000: Power for Land, Sea, and Air. American Society of Mechanical Engineers, 2000. http://dx.doi.org/10.1115/2000-gt-0166.

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In many LNG receiving terminals worldwide, the cryogenic heat of imported LNG which was liquefied by using 10% energy of natural gas supply1), 2), has been wasted into the sea water mainly through heat exchangers like ORVs (Open Rack Vaporizer)3). This cryogenic heat of 110 K (-256 F) class is considered, however, as an excellent energy source to apply thermodynamic cycles. Several literature, accordingly, are found to improve such high-grade energy potential of LNG regasification process as a low temperature sink, combining with fired heater at 1,100 K (1520 F) class or GT main exhaust gas at 700 K (800 F) class as a high temperature source, through Brayton and Rankine cycles5),6),7),8),9). This paper presents a typical example of closed “Ericsson” cycle which has the minimum cycle temperature of 157 K (-176 F) from LNG cryogenic heat and the maximum of 550 K (531 F) from the partial HRSG exit heat mixed with the partial GT exit gas. This closed gas turbine, from viewpoints of minor modification to existing power plants and no energy impacts for high temperature source, which would be better than the above-described idea, is able to offer 35% thermal efficiency. And it is recognized that this system would be superior to existing cryogenic generation systems of 20% class operated by Rankine Cycle.
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Hermez, Munther Y., Badih Jawad, Liping Liu, and Sabah Abro. "Optimization of Curved Spacer Prototype Design for Flow Improvement in Centrifugal Pump Impeller." In ASME 2018 International Mechanical Engineering Congress and Exposition. American Society of Mechanical Engineers, 2018. http://dx.doi.org/10.1115/imece2018-87075.

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An optimization of modified shrouded impeller with a curved spacer to suppress the unsteady flow recirculation was pursed. Centrifugal pumps are required to sustain a stable operation of the system they support under all operating conditions. Effect of minor geometrical modifications on the flow inside the three dimensional impeller passages are yet not fully understood, leading to costly trial and error approaches in the solution of instability problems. The idea of using a curved spacer to enhance the specified centrifugal impeller characteristics was validated. This modification with positioning the successful curved spacer prototype model at the impeller inlet section provided a wider pressure operation range at both low and high flow rates in a high-speed centrifugal pump type. Seven curved spacer models were numerically analyzed in combination with the same original closed type impeller. The research investigated the effects of each inlet curved spacer model on the impeller’s performance improvement. The flow field inside a centrifugal pump is known to be fully turbulent, three-dimensional, and unsteady associated with secondary flow recirculation and separation at the impeller’s inlet and exit section. The rotor-stator interaction mechanisms or other unsteady effects often influence the water flow. The present research addresses the problem of Net Positive Suction Head Required (NPSHR) increase due to flow recirculation at the impeller suction side. The three dimensional unsteady water flow inside different models were analyzed by using a 3-D Navier-Stokes code with a standard k-ε turbulence model. The computational domain consists of four main zones: inlet, impeller hub, vanes, and outlet. The measurements with test rig were conducted for the pump hydraulic performances and flow field in the impeller passages. The numerical simulation and experimental tests of prototype performance concluded: (1) Positioning a 3-D curved spacer at the impeller inlet section has a great impact on the centrifugal pump performance. (2) Favorite effects were achieved on impeller performance by separating the inlet flow region into two lanes. (3) The curved spacer resulted in improvement of closed impeller inlet static and total pressure values. (4) Q-ΔP-η data and flow structures in the impeller passages were analyzed.
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Ferreira, Elga, Eliana Penedos-Santiago, Constança Rocha, Daniela Marques, Esteêvo Santos, and Sara Dias. "Cohort Study Good Practices: Design Communication and Capacitation Processes." In 13th International Conference on Applied Human Factors and Ergonomics (AHFE 2022). AHFE International, 2022. http://dx.doi.org/10.54941/ahfe1001406.

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In the county of Leiria, Portugal, part of the population is known to have morbidity diagnoses (metabolic illnesses and more) and poor health habits on a big enough scale to bring the idea of how low health literacy can affect people's lives and health services, such as a flood of the emergency systems caused by people attending the emergency room with minor issues. To address it, institutions in Leiria such as the City Hall and Polytechnic of Leiria decided to conduct a longitudinal and prospective cohort study, where a sample of the population will be followed throughout time to understand if their choices regarding health and sustainable habits are indeed affected by their health literacy levels.This project will contribute to the initial stage of this cohort study, by developing a recognizable brand, whose identity can be maintained throughout all its communication and dissemination media, so that the population can identify, without equivocation, the cohort study to which it refers, and awaken their curiosity to participate. This stage also includes the presentation and dissemination of the cohort study itself to the population under study, followed by a randomized inquiry done by pre-selected interviewers.This project relies on Service Design and Participatory Design methodologies to streamline the development of the study’s elements and to solve common cohort issues, such as: 1) gathering a suitable number of participants that can represent the population; 2) follow-up maintenance of participants; 3) keeping the interviewers and participants engaged with the study, after the first contact. Informal interviews and user group definition will help the comprehension of the study and allow to create personas to characterize the interviewers of the cohort study. These aforementioned methodologies will be supported by the workshop methodology under Participatory Design, acting as a testing ground for the previously developed processes, preparing interviewers to adapt their communication when facing people from different generations, education, and social backgrounds.By carrying out this project simultaneously with the cohort study, it’s possible to evaluate, over time, how the design methodologies can empower and facilitate communication and intervene, changing tactics in case it’s needed. The creation of a replicable experience is proposed allowing the betterment of the overall health of the population. Additionally, assuming the lack of information on how the preparatory phases of cohort studies are designed, it’s also envisaged the creation of guidelines and a good practice manual. It is also of great importance to point out the bridge established between the health and design fields, where design becomes the interface between science and the public.
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