How To Use Topology In A Sentence

Despite the substantial contributions he had made to topology by this time, Brouwer chose to give his inaugural professorial lecture on intuitionism and formalism.

This lets you connect two workstations to the card, and essential feature in a bus topology.

IT Security is on my mind, I think I found a vuln in a common VLAN topology too, but I need to play around a bit more with it.
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While in the Harvard College Observatory he worked on many mathematical and astronomical subjects including topology and ergodic theory.

In this work, the topology of protein domain networks generated with data from the ProDom, Pfam, and Prosite domain databases was studied.

The network topology is such that new fileservers can be plugged in at any time should the need arise.

The specific topology for a transputer network must be configured by the software developer, with occam processes mapped to transputers appropriately.

Firstly, if you happen to run an extensive subterranean mass transit system, you should familiarise yourself with the topology of the network.

Topology'there was a fertile field for intellectual riddlesi Shapes that were infinitely distortable without sacrificing their fundamental qualities.
Blue Adept

The model reflected the coupling optimization essence in topology optimization matter and effectively averted the puzzle of "ultimate stress" and "singular solution" on topology optimization matter.

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.

This ‘index theorem’ had antecedents in algebraic geometry and led to important new links between differential geometry, topology and analysis.

In this analysis, such is not the case; the Adams consensus produces a topology that is identical to one of the 24 most parsimonious trees.

His research interests include topology, algebraic geometry, and Lie theory.

The mathematical ballistics of 1918 was neither as refined as axiomatic geometry nor as theoretical as algebraic topology.

Algebraic topology is behind network theory which is used, among other things, to route circuits on CPUs.
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These can be of equal or unequal cost and are identified as the best loopfree paths to a given destination. A copy of the successor routes is also placed in the topology table.

In 1984 Jones discovered an astonishing relationship between von Neumann algebras and geometric topology.

The quaternary structure provides the protein with a requisite topology that helps in multivalent binding to cells.

The tree topology showed that the endosymbiotic species formed a wellsupported monophyletic group.

Proof structures and topology, and above all the beautiful, crystalline logic which ordered the universe of number.
THE BROKEN GOD

Tarski made important contributions in many areas of mathematics: set theory, measure theory, topology, geometry, classical and universal algebra, algebraic logic, various branches of formal logic and metamathematics.

As long as the basic topology is there, an extremely wide variation of shapes can be interpreted thus, due to written Arabic having multiple styles with vastly more flexible typography than Roman text.
Arabic calligraphy in many forms

He established a geometry and topology based on group theory without the concept of a limit.

The null space of the stoichiometric matrix that describes the topology of metabolic networks and that contains the steadystate flux distributions has been analyzed in detail.

Representation of road network topology in the intersection is a difficult point in transportation GIS.

The first topology is a trivial one, just stating the genes are allelically identical.

The backbone will consist of fiber optic cable configured in a star topology to support all communication systems as described in this Communication and Data Systems Philosophy.

The genealogy can be viewed as consisting of two components: the topology of the tree structure and the times between coalescent events.

What is the power of a computer which can change the very notion of the topology of the underlying circuit connectivity?

His research interests include topology, algebraic geometry, and Lie theory.

On the contrary, antidecoherence stipulations of Orch OR include 1) transiently encasing bundles of dendritic microtubules in actin gel ” an isolated, shielded and waterordered nonliquid environment for quantum processes, 2) quantum states extending among dendritic gel environments via quantum tunneling and/or entanglement through windowlike gap junctions of dendritic webs, 3) microtubule quantum error correction topology (Hameroff et al, 2002) and 4) biomolecular quantum states pumped by, rather than disrupted by, heat energy.
A Third Choice (ID Hypothesis)

Distances were used in MEGA to construct a neighborjoining tree with a topology identical to that of Lanyon's maximum parsimony tree.

To discover heterogeneous network topology structure, a bottom  to  top discovery algorithm is proposed.

P 2 MP is an asymmetrical medium based on a tree ( or tree  and  branch ) topology.

Status Offline The backbone will consist of fiber optic cable configured in a star topology ...

In computer lingo, this is referred to as a Centralized Network Topology.

A network topology discovery algorithm based on breadth  first is introduced.

The proposed protocol is based on CSMA/CA basis. The dynamic channel selection scheme is implemented and the number of the data channel is independent of the network topology.

An identical topology is obtained when each of the three regions is considered separately

Celestial mechanics is the origin of dynamical systems, linear algebra, topology, variational calculus and symplectic geometry.

He was always full of mathematical ideas, not only on game theory, but in geometry and topology as well.

With a number of methods a topology in which the grasses clade is basal within the angiosperm group was found with high bootstrap support.

I'm looking forward to many more adventures in knitted topology.
Klein Bottle

Each comparison used the topology estimated from the particular sequences being compared.

Greenland's topology has been shaped by the glaciers of the ice age

For example, algebraic geometry, the field I am most familiar with, combines algebra, geometry, topology, and analysis.

Research applying topology to Heisenberg's Uncertainty Relation in curved spaces.
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Multimode information collaboration and information exchange on the same single node, among different nodes and isolated nodes, as well as network topology are presented.

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.

The Journal of Topology publishes papers of high quality and significance in topology, geometry, and adjacent areas of mathematics.
November 2007

A cluster  based distributed wireless sensor network topology control algorithm ( CDTC ) is presented.

This means that the topology of the metabolic network is only partially able to explain the observed data.

The implications of map theory, game theory, topology, the fractals of chaos theory, have all lurked in ornament, awaiting their elevation to science.

They relate Boolean algebras to general topology and to the theory of rings and ideals, and include what is called Stonetech compactification today.

His interests were mainly in number theory and combinatorics, though they ranged into topology and other areas of mathematics.

If the values for the real data fell within this null distribution of values, then the trees constructed for each half of the gene were not significantly different in topology.

His work on topology, in particular on characteristic classes, cobordism theory and the Thom transversality theorem led to his being awarded a Fields medal in 1958.

When in this essay the verbal topology of monadic substance offers
Rei Terada

The proposed protocol is based on CSMA/CA basis. The dynamic channel selection scheme is implemented and the number of the data channel is independent of the network topology.

Her data supported a tree topology in which Coccyzus is nested within a single clade comprising all of the parasitic cuckoos.

EMU external integrity reads at maximum, with some warpages in topology.
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Despite some differences in topology, all obtained phylogenies indicate a clear subdivision of the species that are currently assigned to the genus Tilapia into at least five distinct groups.

A cluster  based distributed wireless sensor network topology control algorithm ( CDTC ) is presented.

It's virtually impossible for me not to characterize what I do in realist terms, because what I am doing in describing the whole topology of historical evidences is nothing other than developing a more verisimilar account.
Wherein I Jump Naked into a Boiling Cauldron of Debate

By including genes from various cnidarian species belonging to Anthozoa, Scyphozoa and Hydrozoa, our analysis allows to identify lineagespecific gene duplications or losses through the comparison of the topology within the gene tree with the known phylogenetic relationships between included species
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Euclidean geometry studies Euclideanspacestructure, topology studies topological structures, and so on.

a positivity but only as a topology, is it about history?
'The Abyss of the Past': Psychoanalysis in Schelling's Ages of the World (1815)

The shape identification includes the local character point and its direction, the curve structure, the global parameter and topology trait.

Parity, symmetry, topology: these will be our subjects for the months to come, Door.
NEVERWHERE

Following the twolayer P2P architecture, we have devised a selfadaptive routing strategy for systems with peer cluster topology to handle the similarity search.

He started research in algebra, geometry and topology as a student but did not consider his results sufficiently important to merit publication.

The loop free logical topology created is called a tree.

Image metaphors adhere to The Invariance Principle, which preserves the cognitive topology of the source domain, in a way consistent with the inherent structure of the target domain.

He also studied orthonormal series and topology.

The allow_passive_connect option is usedinternally and is seldom needed in applications where thenetwork topology and the kernel options in effect is known inadvance.
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Parity, symmetry, topology: these will be our subjects for the months to come, Door.
NEVERWHERE

Thus, for example, the notions of Euclidean geometry are invariant under similarity transformations, those of affine geometry under affine transformations, and those of topology under bicontinuous transformations.
Logical Constants

My primary interest in geometry is for the light it sheds on the topology of manifolds.

Regarding regulator layout: The regulators are positioned at the noisy side of the box, so that only clean DC is distributed to the rest of the board using a star topology.

Ktheory is a mathematical theory that studies topology using matrices, using operators that don't commute with each another.

Most importantly, the phylogenetic analysis results in a topology that places hornworts as a sister group to the vascular plants and mosses as the sister clade to the hornworttracheophyte group.

This is part of a very broadreaching theme in algebraic topology in which functors represented and corepresented by various spaces are used in analyzing geometry and topology.

CIM represents an attempt to portray the topology of any system in a common manner.

The Poincare conjecture belongs to the field of topology, which studies properties that are preserved when a shape is stretched or twisted without tearing.

This leads to the feature mentioned in chapter 7, topologypreserving maps.

The topology was represented with schemetree and adjacency list in the new model with dada saved in the database, so that data redundancy had greatly reduced and evolution was depict distinctly.

Topology optimization technology and its application in automobile parts design are introduced.

Physicists model the topology of the universe in intriguing ways.

The MP tree showed a topology almost identical to that of the NJ tree (data not shown).

This book is a classic in the study of the geometric topology of 3manifolds.

The algorithm does not require the information of the whole network topology.

Topology is a branch of math that is sometimes called ‘rubbersheet geometry’ because topologists study objects that retain their spatial properties even when they are twisted into odd shapes.

It is a mathematical theory that studies topology using matrices, using operators that don't commute with each another.

The upshot of all this is that only the possession of a Moebiuslike topology by a space genuinely eliminates the possibility of there being pairs of objects in that space which are incongruent counterparts.

An identical topology was obtained with the parsimony method.

Flexible topology and coupling structures are used to realize transmission zeros, thereby enhancing the stop band rejection or making more flat group delay.

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.

Using a proxy server with a super cluster topology is convenient because there is no need to manually edit and administer a static route configuration file.

Many of these mathematicians turned to other topics such as topology, differential equations, and functions of a complex variable.

This differs from the bus topology where having one cable fail disrupts the entire network.

All data transmission goes through the master in a star network topology.

Other than an unresolved reticulation at the most ancestral node, the topology of this network is straightforward and there are three noteworthy results.

a network that looks like a star can have the logical topology of a bus

This result is not merely a sampled version of Fig 7A; rather, it incorporates the constraints imposed by the edge distributions on the topology of the network.

Harness PLM for CATIA, transforms the wiring diagrams to harness design• process of designing electrical harnesses The topology modules in SEE Electrical by leveraging the power of CATIA to For more information: www. harnessdesign.com Harness allow users to generate and significantly reduce cycle times.
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Standard bobbins can not be used for E cores, since all three legs have to be used for the isolated topology.

Proof structures and topology, and above all the beautiful, crystalline logic which ordered the universe of number.
THE BROKEN GOD

A ring network is a topology of computer networks where each user is connected

In order to understand the hermeticism of the verbal topology comprising the substance of nightlife, and in order to articulate the various modes of obscurity intrinsic to the nightspot, one must attend more closely to the solipsistic relations characteristic of monadic substance.
Club Monad

Some details must be ironed out: for example, the investigation of loops which are very similar gives no insight into the structure of the space, so we work instead with sets of loops called homotopy classes One of the most useful tools in algebraic topology is the [[fundamental group]],
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Professor Auroux's research interests are in the fields of symplectic topology and mirror symmetry.
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Few have had the simultaneous grasp of topology, algebraic geometry and Ktheory that Thomason did.

All mathematicians in geometry, complex analysis, lowdimensional topology, and geometric group theory will want to have it on their bookshelves.

And some routing scheme, information of network coverage, load balance, topology control, and so on also depend on the location information of the nodes in networks.

His aim was to bring together pointset topology and algebraic topology with his 1932 paper.

We fiddle with certain levers within that topology  unmoderated then moderated then metamoderated, karma levels, etc  and we can learn a lot by noticing the results of groups involving different topologies and different “human natures”.
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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.

In terms of the topology scores, the five most accurate methods were not significantly different from one another.

Firstly, if you happen to run an extensive subterranean mass transit system, you should familiarise yourself with the topology of the network.

On a molecular level, stress relaxation occurs by a change in the topology of the connections within the skeletal network.

In this topology, it's obvious that the application placement controller in one data center will not be able to tap into idle capacity in the other data center.

He was always full of mathematical ideas, not only on game theory, but in geometry and topology as well.

His main work was in set theory, general topology, and measure theory.

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.

Considering the use of broadcast and the high burden of single coordinator, ATFGKA protocol is presented in order to adapt to an arbitrary network topology by using kary tree.

For my Ph.D. 1 was required to study analysis, algebra, and algebraic topology.

In the genmodel editor, right click on the top node labeled "Mysql" and generate the Model Code (see Figure 9), the Edit Code (see Figure 10), and finally the Topology Edit Code (see Figure 11).

In this paper, a hierarchy multi  agent architecture ( HMA ) is given out for network topology discovery.

The plates are absent in halfbeaks and flyingfishes, thus the present topology requires their independent loss in the three halfbeak/flyingfish lineages, or their reappearance in the needlefish/saury lineage.

It was an exciting time for the topologists in Moscow for he lectured on the topology of continua and often his latest results were presented in the course shortly after he had proved them.

Parentchild links are based on the tree topology, support a onetomany relationship set, and prohibit circular definitions, that is, a child node can only have one parent.

Our greatest debt to Lefschetz lies in the fact that he showed us that a study of topology was essential for all algebraic geometers.

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.

He contributed the third volume in this series with his monograph on topology which we will mention again below.

Describing the exact topology of the Nipponese sector mall arcologies was like trying to map the entire Digital Informational Library of Congress onto a ninety Euro pair of sunglasses.

Twentyone switches are interconnected in a tree topology, with Fast Ethernet trunking, providing 200 Mbps full duplex communication paths.

Open sets have a fundamental importance in the branch of topology.

A simple way to describe topology is as a ‘rubber sheet geometry’  topologists study those properties of shapes that remain the same when the shapes are stretched or compressed.

To discover heterogeneous network topology structure, a bottom  to  top discovery algorithm is proposed.

In classical mathematics, he founded modern topology by establishing, for example, the topological invariance of dimension and the fixpoint theorem.

Representation of road network topology in the intersection is a difficult point in transportation GIS.

This paper mainly discusses the backbone design of Guiyang educational metropolitan area network, including network topology, fiber network, route design, network devices and network expansion, etc.

The actual fiber path plays a big part in how the topology of the network will look.

Usage is limited by IP address range restricting licenses by geographic area, depending upon network topology.

In this paper, we present HLC topology model, which embodies the character of physical topology and collective communication.

Only a philosophical topology, analogous to what in mathematics is defined as analysis situ (analysis of site), in opposition to analysis magnitudinis
Club Monad

Topology, cohomology, Lie algebras, and knot theory have all become valuable items in the physicist's tool chest.

Nodes registered with an administrative agent can become part of a job management topology, enabling the management of a large number of base application servers.

Later, a similar topology was also found for other plastidic transporters, for example, the adenylate translocator and the hexose translocator.

Ask yourself if that topology is congruent with Dawkins’s picture, or any textbook treatment of the same question.
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In order to deal with hierarchical routing with delay and bandwidth constraints, a new topology aggregation algorithm called stair method was proposed.

The ring opening is an eightelectron, Möbius, conrotatory process, not the sixelectron, Huckel process described by Herges in his original work describing coarctate orbital topology.

The network topology is such that new fileservers can be plugged in at any time should the need arise.

He contributed substantially to topology, differential geometry and complex analytic geometry.

Under their direction he laid the basis for the important work he was later to achieve in the fields of foundations of geometry, projective geometry, topology, differential invariants and spinors.

After you've installed the Mazu hardware, you need to teach the system about the topology of your internal network.

D model reconstruction is investigated from orthographic engineering drawings using an iterative  tree method based on neighborhood  topology.

Such quantitative measurements permit inferences about the topology and internal organization of this organelle.

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.

As chol was added, the topology of the domains was changed (formation of lo domains), and eventually phase separation disappeared at high chol fractions.

This topology is intended to give you some notion of the location of the point of disjuncture and conjuncture, of union and frontier, that can be occupied only by the desire of the analyst.

In this topology view, the ARM invocation chain is reproduced in a graphic form, which is consistent with the scenario developed by IBM WebSphere Integration Developer (see Figure 1).

He also worked on functions that changed celestial mechanics, helped pioneer algebraic topology and codiscovered the special theory of relativity.

Results NTHI showed structural confusion fluid dark areas and network topology surrounding portal vein blocked.

SAN bandwidth scalability is classified according to the topology of the SAN.

The stoichiometry matrix: Structural modelling in this context is so called because the focus is on the network topology of the system.

It therefore has a different topology from the torus of fig. 4, which was be deformed into a mug with only one handle.

The very structure of a binomial name encodes the essential property that makes Linnaeus's system consistent with life's evolutionary topology.

Regarding regulator layout: The regulators are positioned at the noisy side of the box, so that only clean DC is distributed to the rest of the board using a star topology.

He worked in a wide variety of mathematical areas including general topology, topological vector spaces, algebraic geometry, invariant theory and the classical groups.

Geometry, topology, and algebraic geometry and group theory, almost anything you want, seems to be thrown into the mixture.

As a result, this topology is hydrophobically disfavored.

These books allowed new generations of mathematicians to learn algebraic topology and homological algebra directly in the categorical language, and to master the method of diagrams.
Category Theory

The proposed protocol is based on CSMA/CA basis. The dynamic channel selection scheme is implemented and the number of the data channel is independent of the network topology.

A linear sequential model has the simplest topology, but nevertheless has been successfully used to describe the gating of many ion channels.

The scope of the study is abroad. The main contents of NoC study include topology structures, communication protocols, basic component libraries and the implemental theory and tools by EDA.

After all, topology is affected by character distribution of outgroups.
Goodbye, my giant predatory, cursorial, flightless hoatzin

They can be used to obtain information on network topology, policy, and interconnection information in order to construct routing tables.

Pivar says he's been working for years in the Thompson tradition, which he characterizes as a mechanistic approach to evolution, using lab simulations, algorithms and topology.
ScreenTalk

Although this relationship may vary between species, for a particular species it is constant, indicating that the polarity of the pollen grain owes its origin to the topology of microspore tetrad formation.

How would an Aristotelian understand complex analysis, or functional analysis, or point set topology, or axiomatic set theory?

A single most parsimonious cladogram was recovered for the ‘archaic’ subset with a topology identical to that seen in all of the MMPC.

The genealogy estimated for the coding region of 48A alone showed an identical topology.

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.

Solow's models converged with what I was learning in algebraic topology.
George A. Akerlof  Autobiography

The largest number of papercutting/tearing opportunities related to Ending the sum of the interior angles in a triangle along with spatial visualization and topology.

These books allowed new generations of mathematicians to learn algebraic topology and homological algebra directly in the categorical language and to master the method of diagrams.

In 1984 Jones discovered an astonishing relationship between von Neumann algebras and geometric topology.

The key divergence from traditional modelling methods was to think of the form as a topological entity, with topology being the study of geometry unaffected by change in scale or shape.

For now we note that his General Topology became a bible for aspiring topologists and analysts from the time it first appeared in 1955.

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.

Thus, the strength of selective constraints on gene sequences is affected by the topology of the gene coexpression network.

In the paper, a network topology model and an arithmetic based on it are presented, which are applied in OSPF protocol testing.

Network Topologies:  The term topology refers to way network is laid out, either physically or logically.
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We also have no indication that the topology of the phylogenetic trees is biased by the alignments or the treebuilding algorithms.

Topology is the mathematical discipline concerned with surfaces or manifolds in higher dimensions.

Three important papers on plane topology proved the topological invariance of the dimension of the square.

Nor is this recursiveness confined to the text; it extends to an entire topology that marks the place of the third version in the body of Schelling's work.
'The Abyss of the Past': Psychoanalysis in Schelling's Ages of the World (1815)

A specialist in topology, he authored Grassmannians and Gauss Maps in PiecewiseLinear Topology (SpringerVerlag, 1987), but he was better known to the general public for his critiques of pseudoscience and obscurantism, including Higher Superstition: The Academic Left and Its Quarrels with Science (Johns Hopkins University Press, 1994), coauthored with Paul R.
2009 October  Telic Thoughts