How to use topology in a sentence

Looking for sentences and phrases with the word topology? Here are some examples.

Sentence Examples It is a mathematical theory that studies topology using matrices, using operators that don't commute with each another. Many of these mathematicians turned to other topics such as topology, differential equations, and functions of a complex variable. Geometry, topology, and algebraic geometry and group theory, almost anything you want, seems to be thrown into the mixture. It therefore has a different topology from the torus of fig. 4, which was be deformed into a mug with only one handle. The genealogy estimated for the coding region of 48A alone showed an identical topology. With a number of methods a topology in which the grasses clade is basal within the angiosperm group was found with high bootstrap support. Distances were used in MEGA to construct a neighbor-joining tree with a topology identical to that of Lanyon's maximum parsimony tree. In this work, the topology of protein domain networks generated with data from the ProDom, Pfam, and Prosite domain databases was studied. Firstly, if you happen to run an extensive subterranean mass transit system, you should familiarise yourself with the topology of the network. The actual fiber path plays a big part in how the topology of the network will look. On a molecular level, stress relaxation occurs by a change in the topology of the connections within the skeletal network. Thus, the strength of selective constraints on gene sequences is affected by the topology of the gene coexpression network. We also have no indication that the topology of the phylogenetic trees is biased by the alignments or the tree-building algorithms. This means that the topology of the metabolic network is only partially able to explain the observed data. After you've installed the Mazu hardware, you need to teach the system about the topology of your internal network. What is the power of a computer which can change the very notion of the topology of the underlying circuit connectivity? Certainly his work in topology would make him one of the leading topologists of all time but he may be known principally for other work. Thus, you can, for example, set up a ring topology which can be used to optimize the classical travelling salesman problem. His research interests include topology, algebraic geometry, and Lie theory. The very structure of a binomial name encodes the essential property that makes Linnaeus's system consistent with life's evolutionary topology. Show More Sentences The first topology is a trivial one, just stating the genes are allelically identical. He contributed the third volume in this series with his monograph on topology which we will mention again below. The tree topology showed that the endosymbiotic species formed a well-supported monophyletic group. The quaternary structure provides the protein with a requisite topology that helps in multivalent binding to cells. The labyrinth with a unicursal topology has one path, from the outside to the centre, never crossing itself. A linear sequential model has the simplest topology, but nevertheless has been successfully used to describe the gating of many ion channels. Twenty-one switches are interconnected in a tree topology, with Fast Ethernet trunking, providing 200 Mbps full duplex communication paths. How would an Aristotelian understand complex analysis, or functional analysis, or point set topology, or axiomatic set theory? Her data supported a tree topology in which Coccyzus is nested within a single clade comprising all of the parasitic cuckoos. The conditions of possibility for friendship are to be found in the idea of a de-distanced, dissymmetrical topology. In this case, the ideas came from topology, and specifically from Rene Thom's work in catastrophe theory. Such quantitative measurements permit inferences about the topology and internal organization of this organelle. His interests were mainly in number theory and combinatorics, though they ranged into topology and other areas of mathematics. Each comparison used the topology estimated from the particular sequences being compared. The surface topology of the three-dimensional density map is defined by the outermost contour line. While in the Harvard College Observatory he worked on many mathematical and astronomical subjects including topology and ergodic theory. My primary interest in geometry is for the light it sheds on the topology of manifolds. As chol was added, the topology of the domains was changed, and eventually phase separation disappeared at high chol fractions. He contributed substantially to topology, differential geometry and complex analytic geometry. In terms of the topology scores, the five most accurate methods were not significantly different from one another. Show More Sentences Later, a similar topology was also found for other plastidic transporters, for example, the adenylate translocator and the hexose translocator. Finally in the management layer there is a knowledge base that includes system topology, calendars, activity logs and policy information. Wall's research is mostly in the area of geometric topology and related algebra. In 1984 Jones discovered an astonishing relationship between von Neumann algebras and geometric topology. We can go ahead and bend the octagon into three dimensions to get an idea of the topology generated by this tiling of the hyperbolic plane. Our greatest debt to Lefschetz lies in the fact that he showed us that a study of topology was essential for all algebraic geometers. Few have had the simultaneous grasp of topology, algebraic geometry and K-theory that Thomason did. Euclidean geometry studies Euclidean-space-structure, topology studies topological structures, and so on. Three important papers on plane topology proved the topological invariance of the dimension of the square. He was always full of mathematical ideas, not only on game theory, but in geometry and topology as well. For example, algebraic geometry, the field I am most familiar with, combines algebra, geometry, topology, and analysis. He started research in algebra, geometry and topology as a student but did not consider his results sufficiently important to merit publication. Celestial mechanics is the origin of dynamical systems, linear algebra, topology, variational calculus and symplectic geometry. He established a geometry and topology based on group theory without the concept of a limit. This book is a classic in the study of the geometric topology of 3-manifolds. For my Ph.D. 1 was required to study analysis, algebra, and algebraic topology. His aim was to bring together point-set topology and algebraic topology with his 1932 paper. The mathematical ballistics of 1918 was neither as refined as axiomatic geometry nor as theoretical as algebraic topology. All mathematicians in geometry, complex analysis, low-dimensional topology, and geometric group theory will want to have it on their bookshelves. Despite the substantial contributions he had made to topology by this time, Brouwer chose to give his inaugural professorial lecture on intuitionism and formalism. Show More Sentences One of the underlying insights of topology is that some geometric problems depend not on the precise shape of objects but only on the way they are connected. In classical mathematics, he founded modern topology by establishing, for example, the topological invariance of dimension and the fixpoint theorem. Physicists model the topology of the universe in intriguing ways. They relate Boolean algebras to general topology and to the theory of rings and ideals, and include what is called Stone-tech compactification today. All data transmission goes through the master in a star network topology. Membrane topology of the FNT family members is consistent with six putative transmembrane helical spanning domains, as established for the FOCA protein of E.coli. The MP tree showed a topology almost identical to that of the NJ tree. So I'm sure she doesn't remember me, but I remember those papers on topology and also a paper she wrote with J.D. Barrow on the twin paradox in compact universes. Open sets have a fundamental importance in the branch of topology. Other than an unresolved reticulation at the most ancestral node, the topology of this network is straightforward and there are three noteworthy results. Figure 1 gives the overall rooted organismal phylogeny assumed, with the topology for a particular gene constituting only a subtree of this global phylogeny. In topology, the most basic equivalence is a homeomorphism, which allows spaces that appear quite different in most other subjects to be declared equivalent in topology. The implications of map theory, game theory, topology, the fractals of chaos theory, have all lurked in ornament, awaiting their elevation to science. Switch meshing is the ability to create a redundant, meshed topology between switches, using all port links in the mesh to dynamically load balance traffic. He did publish a number of papers, however, which arose through the various courses such as algebraic topology, functional analysis, and geometry, which he taught. He conjectured results about the number of solutions to polynomial equations over the integers using intuition on how algebraic topology should apply in this novel situation. A schematic of region I of the germarium showing the topology of the germline stem cell region and the expression pattern of genes relevant to this study. His work on triangular numbers inspired Sierpinski to further work on this topic while Zarankiewicz also worked jointly with Kuratowski on topology. The Poincare conjecture belongs to the field of topology, which studies properties that are preserved when a shape is stretched or twisted without tearing. He worked in a wide variety of mathematical areas including general topology, topological vector spaces, algebraic geometry, invariant theory and the classical groups. Show More Sentences The specific topology for a transputer network must be configured by the software developer, with occam processes mapped to transputers appropriately. His main work was in set theory, general topology, and measure theory. We topologize Spec with Zariski topology, which is analogous to that for Spec, and consider Max as the induced subspace topology. Following the lead of Thomson and Tait, the branch of topology called knot theory was developed. In general, the analysis of parents and lineages is intimately linked to studying the topology of watersheds. The actual pattern is determined by a number of factors including local topology, traffic density, land cost, building costs, type of road, etc. In mathematics, calculus, statistics, logic, vectors, tensors and complex analysis, group theory and topology were developed by Westerners. That and the topology of station order and interchanges between train lines are all that is left of the geographic space. Mathematica covers the Moebius band, projective geometry, probability, topology, and multiplication. Serial ATA will connect devices in a star topology with each device using its own connection on the motherboard or host bus adapter card. For this reason, the book contains an introductory chapter on categorical topology. A key to this is the star topology wiring in the individual units, which creates the networking capability. Until mid-1992, the data network was set up in a star topology, since replaced by a nodal approach. The technology is optimized for one-to-one connections while allowing one-to-many connections using a star topology. Now, Molnlycke connects all the countries with mesh networking software in a star topology. The logical topology or subnetwork structure allows 256 devices on one line. The PN space under the strong topology is a Hausdorff space and satisfies the first countability axiom. Spatial domain is discretised by a numerical mesh consisting of a finite number of contiguous control volumes of completely arbitrary topology. He assumes students are familiar with homological algebra, algebraic topology based on different forms, and de Rham cohomology. The topology of the ethograms for the prod test was more complex than for the puff test for all taxa. Show More Sentences These properties are generally valid for materials with the same topology, that is for magnetic moments on the pyrochlore lattice. Model preparation for FEM analysis of large welded structures is difficult to complete because the solver requires a clean geometry and topology. At low condensate density, the topology of the single-particle bands is transferred to the bogolon dispersion. Global topology data enables the Sockeye Networks GlobalRoute service to proactively determine alternate best-cost, best-performance routes for Internet protocol traffic. A heterarchy of values determined by the topology of nervous nets. Finally, all parameters of the model, including part templates, modes of elastic deformation, and view-based topology, are discriminatively trained in a max-margin framework. These include three-dimensional geometry and topology, combinatorics of two-dimensional arrays, and the more recent area of computer science, whose roots reach back 500 years. The netkeeper is not involved in the processing of calls but stores the platform topology information, routing configuration and alarm information. Furthermore, with a star topology and the vendor's upgrade strategy, ouR current units and acable plant will allow us to move easily to ATM when it is standardized. He assumes some familiarity with set theory, algebra, and topology. For high-end switching applications, multiple SE200 devices can be designed into a single stage topology to scale fabric capacities to terabit speeds. Based on these results, we will study retrievable fuzzy finite state machines, fuzzy transformation semigroups and fuzzy topology associated with a fuzzy finite state machine. Soft elastic substrates with a wave-like topology were micromolded from polydimethylsiloxane and fluorescent marker beads were distributed homogeneously in the substrate. Thirdly, we have shown that the network topology also fulfils the constraints resulting from the equivalence assumption of the basal and hyperrepressed phenotypes. Six survey and expository papers and 11 research papers explore hyperbolic geometry, symplectic geometry, geometric topology, and other areas of geometry and topology. Examples from Classical Literature Ontology Systems uses graph-data and semantic modeling to create an end-to-end dynamic view of the network topology and services. In Euclidean geometry there are right angled triangles and equilateral triangles, but in topology all triangles are the same. Find more words! Another word for Opposite of Meaning of Rhymes with Sentences with Find word forms Translate from English Translate to English Words With Friends Scrabble Crossword / Codeword Words starting with Words ending with Words containing exactly Words containing letters Pronounce Find conjugations Find names From Afrikaans From Albanian From Amharic From Arabic From Armenian From Azerbaijani From Basque From Belarusian From Bengali From Bosnian From Bulgarian From Catalan From Cebuano From Chichewa From Chinese From Corsican From Croatian From Czech From Danish From Dutch From Esperanto From Estonian From Farsi From Filipino From Finnish From French From Frisian From Galician From Georgian From German From Greek From Gujarati From Haitian Creole From Hausa From Hebrew From Hindi From Hmong From Hungarian From Icelandic From Igbo From Indonesian From Irish From Italian From Japanese From Javanese From Kannada From Kazakh From Khmer From Korean From Kurdish From Kyrgyz From Lao From Latin From Latvian From Lithuanian From Luxembourgish From Macedonian From Malagasy From Malay From Malayalam From Maltese From Maori From Marathi From Mongolian From Burmese From Nepali From Norwegian From Polish From Portuguese From Punjabi From Romanian From Russian From Samoan From Scots Gaelic From Serbian From Sesotho From Shona From Sinhala From Slovak From Slovenian From Somali From Spanish From Sundanese From Swahili From Swedish From Tajik From Tamil From Telugu From Thai From Turkish From Ukrainian From Urdu From Uzbek From Vietnamese From Welsh From Xhosa From Yiddish From Yoruba From Zulu To Afrikaans To Albanian To Amharic To Arabic To Armenian To Azerbaijani To Basque To Belarusian To Bengali To Bosnian To Bulgarian To Catalan To Cebuano To Chichewa To Chinese To Corsican To Croatian To Czech To Danish To Dutch To Esperanto To Estonian To Farsi To Filipino To Finnish To French To Frisian To Galician To Georgian To German To Greek To Gujarati To Haitian Creole To Hausa To Hebrew To Hindi To Hmong To Hungarian To Icelandic To Igbo To Indonesian To Irish To Italian To Japanese To Javanese To Kannada To Kazakh To Khmer To Korean To Kurdish To Kyrgyz To Lao To Latin To Latvian To Lithuanian To Luxembourgish To Macedonian To Malagasy To Malay To Malayalam To Maltese To Maori To Marathi To Mongolian To Burmese To Nepali To Norwegian To Polish To Portuguese To Punjabi To Romanian To Russian To Samoan To Scots Gaelic To Serbian To Sesotho To Shona To Sinhala To Slovak To Slovenian To Somali To Spanish To Sundanese To Swahili To Swedish To Tajik To Tamil To Telugu To Thai To Turkish To Ukrainian To Urdu To Uzbek To Vietnamese To Welsh To Xhosa To Yiddish To Yoruba To Zulu English French Afrikaans Word Albanian Word Arabic Word Bengali Word Chinese Word Croatian Word Czech Word Danish Word Dutch Word English Word Finnish Word French Word German Word Greek Word Hindi Word Hungarian Word Icelandic Word Indonesian Word Italian Word Japanese Word Korean Word Latin Word Malay Word Malayalam Word Marathi Word Nepali Word Norwegian Word Polish Word Portuguese Word Romanian Word Russian Word Serbian Word Slovak Word Spanish Word Swahili Word Swedish Word Tamil Word Telugu Word Thai Word Turkish Word Ukrainian Word Uzbek Word Vietnamese Word Welsh Word All words 2-letter words 3-letter words 4-letter words 5-letter words 6-letter words 7-letter words 8-letter words 9-letter words 10-letter words 11-letter words 12-letter words 13-letter words 14-letter words Plural of Singular of Past tense of Present tense of Verb for Adjective for Adverb for Noun for Meaning of name Origin of name Names meaning Names starting with Names of origin topology Use * for blank tiles (max 2) Advanced Search Advanced Search Use * for blank spaces Advanced Search Advanced Word Finder See Also What is another word for topology? Words that rhyme with topology What is the plural of topology? What is the adverb for topology? What is the adjective for topology? What is the noun for topology? Translations for topology Use our Sentence Generator Nearby Words topologists topologies topologically topological topoisomerase topoi toponym toponymic toponyms toponymy topophilia topos 8-letter Words Starting With t to top topo topol topolo topolog