Use "Topological" in a sentence | "Topological" sentence examples
Topological is an adjective that relates to the branch of mathematics known as topology, which deals with the properties of space that are preserved under continuous transformations, such as stretching or bending. This word can be quite technical and may not be commonly used in everyday conversations. However, if you are interested in incorporating "topological" into your vocabulary, here are some tips on how to use it effectively in sentences:
1. Understand the meaning: Before using the word "topological," it is essential to have a clear understanding of its definition. Familiarize yourself with the concept of topology and its applications in mathematics and other fields. This will help you use the word accurately and confidently.
2. Context matters: When using "topological" in a sentence, consider the context in which it is being used. Determine whether you are referring to the mathematical aspect of topology or using it metaphorically to describe a situation or relationship.
3. Be precise: As "topological" is a technical term, it is crucial to use it precisely and accurately. Ensure that you are using the word in the appropriate context and that it aligns with its mathematical definition.
4. Use it in academic or technical writing: Given its technical nature, "topological" is commonly used in academic or technical writing, particularly in mathematics, physics, computer science, and engineering. Incorporate it into essays, research papers, or scientific articles to demonstrate your understanding of the subject matter. Example sentence: "The topological properties of a network determine its resilience to failures and its ability to maintain connectivity."
5. Explain the concept: If you are using "topological" in a sentence for a non-technical audience, it may be helpful to provide a brief explanation or definition of the term. This will ensure that your readers or listeners understand the context and meaning of the word. Example sentence: "The topological structure of a city's road network refers to the arrangement and connectivity of its streets, intersections, and highways."
6. Use it metaphorically: While "topological" is primarily used in a mathematical sense, it can also be employed metaphorically to describe relationships, connections, or patterns. This usage can add depth and creativity to your writing or conversation. Example sentence: "The topological nature of their friendship was evident in the way they remained connected despite the physical distance between them."
7. Seek examples: If you are unsure about how to use "topological" in a sentence, consider seeking examples from academic papers, textbooks, or reputable sources. Analyze how experts in the field incorporate the word and use those examples as a guide.
8. Practice using the word: Like any new word, practice is key to becoming comfortable with using "topological" in sentences. Incorporate it into your writing or engage in conversations where you can naturally include the word. Over time, you will become more confident in its usage. Remember, using technical terms like "topological" requires a good understanding of the concept and its appropriate context. By following these tips, you can effectively incorporate "topological" into your vocabulary and communicate your ideas more precisely.
In the remaining portion of this article, additional example sentences are presented to demonstrate the usage of the term "Topological" within sentences.
"Topological"
(1) In a topological sort
(2) In topological sorting
(3) In a topological space
(4) The torus is a topological shape.
(5) By using topological optimization
(6) Regarding this array: topological
(7) Topological spaces can be finite or infinite
(8) The concept of a topological space is abstract
(9) Topological optimization is a rapidly evolving field
(10) Topological sorting is widely used in various fields
Sentence For "Topological"
(11) Manifolds can have non-trivial topological properties.
(12) Coextensions can be used to define topological spaces.
(13) Topological sort is used in network routing algorithms.
(14) Topological sorting is a technique used in graph theory.
(15) Homotopy groups are used to classify topological spaces.
(16) Topological optimization can be applied to various fields
(17) Homeomorphic spaces have the same topological properties.
(18) Topological sort is used in job shop scheduling problems.
(19) Topological sorting is used in network routing algorithms.
(20) The infimum of a set can be a limit of a topological space.
"Topological" In A Sentence
(21) Cohomology theory allows us to classify topological spaces.
(22) Topological sort is an important algorithm in graph theory.
(23) Topological spaces can be used to model real-world phenomena
(24) Topological sort is a fundamental algorithm in graph theory.
(25) Topological sorting is an important concept in graph theory.
(26) Topological sorting is used in job shop scheduling problems.
(27) Topological sorting is used in resource allocation problems.
(28) Anyons are important in the study of topological insulators.
(29) Isometry is a key concept in the study of topological spaces.
(30) Topological sort is a popular algorithm used in graph theory.
"Topological" Sentence
(31) Topological sort is an essential concept in computer science.
(32) Topological sorting is a fundamental concept in graph theory.
(33) Topological sort is used in constraint satisfaction problems.
(34) Topological sorting is used in data flow analysis algorithms.
(35) The property of being contractible is a topological invariant.
(36) Topological spaces can be classified based on their properties
(37) The mobius strip is a common topic in topological discussions.
(38) Topological sort is not possible if the graph contains cycles.
(39) Topological sort is used to detect cycles in a directed graph.
(40) Topological sort is a fundamental concept in computer science.
"Topological" Sentence Examples
(41) Topological spaces can be visualized using diagrams and graphs.
(42) Can antiferromagnetic materials exhibit topological properties?
(43) Topological sorting is often used in job scheduling algorithms.
(44) Topological sorting can be applied to solve scheduling problems.
(45) Topological sorting is based on the concept of partial ordering.
(46) The notion of convergence can be defined in a topological space.
(47) Homeomorphic maps preserve the topological structure of a space.
(48) A homeomorphism preserves the topological properties of a space.
(49) The automorphisms of a topological space preserve its open sets.
(50) The topological sorting of a graph can be used to detect cycles.
Sentence With "Topological"
(51) Topological sorting is used in constraint satisfaction problems.
(52) Functors are used to study the properties of topological spaces.
(53) Topological sort is used in task scheduling in operating systems.
(54) The topological sort algorithm is commonly used in job scheduling.
(55) The homomorphism between the two topological spaces is continuous.
(56) The topological sort of a graph can have multiple valid solutions.
(57) Topological sorting is not possible if the graph contains a cycle.
(58) Topological sorting is an essential step in many graph algorithms.
(59) A topological graph is a mathematical representation of a network.
(60) Topological sort is used in data flow analysis in compiler design.
Use "Topological" In A Sentence
(61) Topological sort is used in event ordering in distributed systems.
(62) Anyons are important in the study of topological phases of matter.
(63) A morphism between two topological spaces is a continuous function.
(64) A topological sorting of a graph can have multiple valid solutions.
(65) Topological sorting is a fundamental operation in graph algorithms.
(66) The topological sorting algorithm has a time complexity of O(V + E).
(67) The ultrafilter is a key concept in the study of topological spaces.
(68) Topological sorting is used in circuit design and layout algorithms.
(69) The topological sort algorithm can detect cycles in a directed graph.
(70) I am investigating the topological properties of different simplexes.
Sentence Using "Topological"
(71) In computer graphics, topological graphs are used to model 3D shapes.
(72) Isometry is a fundamental concept in the study of topological spaces.
(73) Anyons can be used in quantum computing to create topological qubits.
(74) Homeomorphic functions preserve the topological structure of a space.
(75) The ultrafilter is a key concept in the study of topological dynamics.
(76) Planarity is an important property in the study of topological spaces.
(77) Homeomorphic functions preserve the topological properties of a space.
(78) A homeomorphism is a bijective mapping between two topological spaces.
(79) Homeomorphisms can be used to define topological invariants of spaces.
(80) A topological space can be finite or infinite, discrete or continuous.
Sentences With "Topological"
(81) In a topological sort, each vertex comes before all of its successors.
(82) Topological spaces allow for the study of continuity and connectedness.
(83) The topological sort of a graph can be obtained using Kahn's algorithm.
(84) Topological sorting is a fundamental concept in directed acyclic graphs.
(85) The homomorphism between the two topological spaces is a continuous map.
(86) Endomorphisms can be used to study the properties of topological spaces.
(87) The concept of topological sorting is essential in dependency management.
(88) Topological spaces can be used to define and study topological properties
(89) Topological spaces can be used to define and study topological invariants
(90) The topological sort of a graph can be obtained using depth-first search.
Sentence Of "Topological"
(91) Topological sort is used in task dependency analysis in software testing.
(92) The endomorphisms of a topological space form a monoid under composition.
(93) The topological sorting algorithm can be used to detect cycles in a graph.
(94) The universal property of a topological space defines its continuous maps.
(95) Topological spaces can be classified based on their topological properties
(96) In computer science, topological graphs are used to model data structures.
(97) The topological graph of a power grid can help identify vulnerable points.
(98) In biology, topological graphs are used to model gene regulatory networks.
(99) Topological sorting is used to schedule tasks based on their dependencies.
(100) The topological graph of a city's road network can help in urban planning.
"Topological" Sentences
(101) A topological graph can be used to analyze the connectivity of a food web.
(102) Topological sort is a linear ordering of the vertices of a directed graph.
(103) Topological sort is used in dependency resolution in software development.
(104) The topological sorting of a graph can be obtained using Kahn's algorithm.
(105) The topological sort algorithm is widely used in network routing protocols.
(106) The topological sort algorithm can be used to detect deadlocks in a system.
(107) The algorithm for topological sorting is commonly used in computer science.
(108) The concept of a topological space is fundamental in the field of topology.
(109) Topological sorting can be used to detect circular dependencies in a graph.
(110) The topological sort algorithm can be implemented using a stack or a queue.
"Topological" Use In Sentence
(111) The topological sort of a graph can be obtained using breadth-first search.
(112) Topological sorting is commonly used in scheduling tasks with dependencies.
(113) Axiomatizations are used to establish the properties of topological spaces.
(114) Topological optimization is a powerful technique used in engineering design.
(115) Topological sort is a fundamental concept in data structures and algorithms.
(116) The result of topological sorting is a linear ordering of the graph's nodes.
(117) Homeomorphic spaces can be classified based on their topological properties.
(118) Homotopy theory provides a way to study the structure of topological spaces.
(119) Topological graphs are often used in circuit design to analyze connectivity.
(120) In mathematics, topological graphs are studied in the field of graph theory.
Sentence On "Topological"
(121) Topological graphs are used in machine learning to analyze patterns in data.
(122) The topological graph of a subway network can help optimize train schedules.
(123) Topological sort is commonly used in project management and task scheduling.
(124) The topological sort of a graph can be used to detect circular dependencies.
(125) The topological sort of a graph can be used to detect deadlocks in a system.
(126) The topological sorting of a graph can be computed using a stack or a queue.
(127) Topological optimization is a key tool in the field of additive manufacturing
(128) The cohomologies of a manifold can help determine its topological properties.
(129) The concept of a neighborhood is central to understanding topological spaces.
(130) The automorphisms of a topological space can reveal its geometric properties.
"Topological" Example
(131) The topological graph of a social network can reveal patterns of interaction.
(132) The topological graph of a website can help analyze user navigation patterns.
(133) The study of topological spaces is an active area of research in mathematics.
(134) Topological sort is used in scheduling algorithms to optimize task execution.
(135) The topological graph of a social media network can reveal influential users.
(136) A topological graph can be used to study the connectivity of a brain network.
(137) Topological sorting is a linear ordering of the vertices of a directed graph.
(138) The topological sorting of a graph can be used to detect deadlock situations.
(139) Topological sorting is used in project management software to schedule tasks.
(140) Topological sort is used in project management to determine the critical path.
"Topological" In Sentence
(141) The topological sorting algorithm can be implemented using depth-first search.
(142) Topological sorting is an important concept in data structures and algorithms.
(143) Topological sorting is used in job scheduling to optimize resource allocation.
(144) Homotopy is a powerful tool for studying the topological invariants of spaces.
(145) The study of topological graphs is essential in understanding complex systems.
(146) The topological graph of a city's road network can help optimize traffic flow.
(147) Topological graphs are used in image processing to analyze pixel connectivity.
(148) The topological graph of a river network can help analyze water flow patterns.
(149) The topological graph of a financial network can help identify systemic risks.
(150) A topological space allows us to define notions of continuity and convergence.
"Topological" Sentences In English
(151) A topological space can be defined by specifying its open sets or closed sets.
(152) The topological graph of a transportation system can aid in optimizing routes.
(153) The topological graph of a supply chain can assist in identifying bottlenecks.
(154) The topological graph of a social network can help in identifying communities.
(155) In computer science, topological sorting is used to solve dependency problems.
(156) A topological sort can be used to schedule the execution of tasks in a project.
(157) Topological sorting is useful in determining the order of events in a timeline.
(158) The study of topological spaces is important in various branches of mathematics
(159) Homeomorphic structures can be analyzed using topological tools and techniques.
(160) The topological sort algorithm can be used to schedule tasks with dependencies.
Make Sentence With "Topological"
(161) Topological sort is used in compilers to determine the order of code execution.
(162) Topological sorting is commonly used in project management and task scheduling.
(163) Topological sorting can be used to determine the order of events in a timeline.
(164) The topological sort of a graph can be unique or have multiple valid orderings.
(165) Topological sort is used in project management to determine the order of tasks.
(166) The topological sorting algorithm ensures that there are no cyclic dependencies.
(167) The concept of a topological space is closely related to the idea of continuity.
(168) Superalgebraic methods have applications in the study of topological insulators.
(169) Ultrafilters are used to define the notion of convergence in topological spaces.
(170) Homeomorphic spaces exhibit the same topological properties at different scales.
Sentences Using "Topological"
(171) Topological graphs are used in telecommunications to model network connectivity.
(172) The topological graph of a power grid can help in identifying vulnerable points.
(173) Topological optimization is employed to reduce vibrations in mechanical systems.
(174) Topological sort is commonly used in job scheduling and task management systems.
(175) Topological sort is used in job shop scheduling to optimize production sequences.
(176) Plasmons can be used to study the behavior of electrons in topological materials.
(177) In physics, topological graphs are used to study the behavior of quantum systems.
(178) Researchers are constantly exploring new algorithms for topological optimization.
(179) Topological sort is an important concept in computer science and data structures.
(180) Topological sorting is an important technique in graph analysis and optimization.
Sentence From "Topological"
(181) A topological graph can be used to analyze the structure of a biological network.
(182) Topological optimization can be used to optimize the layout of electrical circuits
(183) The topological sort algorithm is efficient and has a time complexity of O(V + E).
(184) Topological sort is used in software testing to determine the order of test cases.
(185) Topological sorting is used to determine the order of tasks in project management.
(186) Topological spaces can be used to analyze the behavior of functions and sequences.
(187) In urban planning, topological graphs are used to analyze pedestrian connectivity.
(188) Topological graphs are used in physics to study the behavior of quantum particles.
(189) In topology, a topological space is a set equipped with a collection of open sets.
(190) The topological sorting of a graph can be represented as a directed acyclic graph.
(191) A topological graph can be used to analyze the connectivity of a computer network.
(192) Topological optimization allows for the creation of complex and efficient designs.
(193) Topological optimization enables engineers to explore innovative design solutions.
(194) The topological sorting of a graph can be used to find a valid sequence of events.
(195) The intervalley coupling in topological insulators leads to exotic surface states.
(196) Cohomologies can be used to study the properties of sheaves on a topological space.
(197) The study of topological vector spaces is an important part of functional analysis.
(198) Noncommutative topology explores topological spaces with noncommutative properties.
(199) Homotopy is a key concept in understanding the topological properties of manifolds.
(200) The properties of a topological space depend on the collection of open sets chosen.
(201) The topological sort of a graph can be visualized as a linear arrangement of nodes.
(202) The topological sort of a graph can be obtained using breadth-first search as well.
(203) An automorphism of a topological space is a homeomorphism from the space to itself.
(204) The topological graph of a financial network can aid in identifying systemic risks.
(205) Topological sorting is used to solve problems involving dependencies between tasks.
(206) Topological sorting is used in network analysis to determine the sequence of events.
(207) The topological sorting algorithm can be applied to solve the critical path problem.
(208) Topological sorting is a powerful tool for analyzing and optimizing complex systems.
(209) Higher-dimensional topological spaces can have intricate structures and connections.
(210) The topological graph of a power distribution network can help optimize energy flow.
(211) The topological graph of a neural network can provide insights into its functioning.
(212) The topological graph of a road network can assist in predicting traffic congestion.
(213) The topological graph of a railway network can assist in optimizing train schedules.
(214) Topological optimization is used to maximize the stiffness of structural components.
(215) The automotive industry utilizes topological optimization to improve vehicle safety.
(216) Topological sort is often used in compilers to determine the order of code execution.
(217) The topological sort algorithm can be used to solve constraint satisfaction problems.
(218) Topological sort is used in circuit design to determine the order of gate operations.
(219) The result of topological sorting can be visualized as a linear arrangement of nodes.
(220) The metric space provides a framework for studying topological properties of objects.
Short & Simple Example Sentence For "Topological" | "Topological" Sentence
(221) The set of all endomorphisms of a topological space forms a monoid under composition.
(222) Topological spaces allow us to define concepts such as connectedness and compactness.
(223) The results of topological optimization can be visualized using 3D modeling software.
(224) The aerospace industry relies on topological optimization to reduce fuel consumption.
(225) The topological sort algorithm can be used to order tasks based on their dependencies.
(226) Topological sort is used in event-driven simulations to determine the order of events.
(227) Superalgebraic methods have applications in the study of topological phases of matter.
(228) The analysis of topological graphs is crucial in understanding the spread of diseases.
(229) Topological graphs are used in geographic information systems to map terrain features.
(230) The topological graph of a molecule can provide insights into its chemical properties.
(231) The topological graph of a protein structure can help understand its folding patterns.
(232) The topology of a space refers to the arrangement of open sets in a topological space.
(233) Topological sort is used in job scheduling algorithms to optimize resource allocation.
(234) Topological optimization is a valuable tool for creating optimized lattice structures.
(235) A topological sort can be used to determine the order of execution for a set of tasks.
(236) Topological sorting is used to determine the order of execution of tasks in a project.
(237) Topological sort is used in task scheduling algorithms to optimize resource allocation.
(238) Topological sorting is often used in compilers to resolve dependencies between modules.
(239) Topological sorting is used in task sequencing to minimize the overall completion time.
(240) The concept of a topological space generalizes the notion of distance in metric spaces.
How Do You Write A Good Sentence With "Topological"?
(241) The concept of a metric space is closely related to the concept of a topological space.
(242) Topological sort is used in task sequencing algorithms to optimize workflow management.
(243) Topological sorting is useful in determining the order of execution for a set of tasks.
(244) A topological graph can be used to study the connectivity of a wireless sensor network.
(245) The topological graph of a river network can help in understanding water flow patterns.
(246) A topological graph can be used to study the connectivity of a gene regulatory network.
(247) Topological optimization can be used to optimize the shape and layout of heat exchangers
(248) Skyrmions are topological magnetic structures that can be observed in certain materials.
(249) The concept of a topological space is fundamental in the study of topological manifolds.
(250) Topological graphs are used in robotics to plan efficient paths for autonomous vehicles.
(251) The concept of a topological space is fundamental in the study of geometry and analysis.
(252) In physics, a topological graph can represent the connectivity of particles in a system.
(253) The topological graph of a communication network can help in detecting network failures.
(254) In chemistry, a topological graph can represent the connectivity of atoms in a molecule.
(255) The topological sorting of a graph can be obtained using a depth-first search algorithm.
(256) The subspace of a topological space is a subset that is closed under certain operations.
(257) The topological sort algorithm can be used to determine the order of tasks in a workflow.
(258) Topological spaces can be used to analyze the behavior of functions in a general setting.
(259) Topological spaces provide a framework for analyzing the properties of shapes and spaces.
(260) The concept of a topological space is a fundamental building block in modern mathematics.
English Sentences With Audio Using The Word "Topological".
(261) Topological optimization can be used to improve the performance of mechanical components.
(262) Topological optimization is a complex process that requires advanced computational tools.
(263) Topological sort is used to determine the order of execution in a directed acyclic graph.
(264) Topological sorting is often used in compilers to determine the order of code generation.
(265) The topological graph of a subway system can aid in planning expansions and improvements.
(266) In economics, a topological graph can help in analyzing trade networks between countries.
(267) The use of topological optimization in product design can lead to improved functionality.
(268) The use of topological optimization can lead to more sustainable manufacturing processes.
(269) Topological sort is used in dependency management systems to resolve package dependencies.
(270) The topological sorting algorithm can be applied to solve the resource allocation problem.
(271) The study of topological spaces involves analyzing the properties of open and closed sets.
(272) Topological spaces can be used to model real-world phenomena and analyze their properties.
(273) Topological sort is used in data flow analysis algorithms to optimize program performance.
(274) The topological sorting of a graph can be visualized as a linear ordering of the vertices.
(275) In geography, a topological graph can represent the connectivity of landforms in a region.
(276) Topological optimization is used to improve the aerodynamic performance of aircraft wings.
(277) The topological sort of a directed acyclic graph can be obtained using depth-first search.
(278) The topological sort of a graph can be visualized as a linear arrangement of its vertices.
(279) In topology, an epimorphism is a continuous surjective map between two topological spaces.
(280) Topological optimization can be used to improve the performance of renewable energy systems
How To Use "Topological" With Example Sentences.
(281) Topological sort is used in data flow analysis to determine the order of data dependencies.
(282) Topological sorting is used in constraint satisfaction problems to find a valid assignment.
(283) Topological spaces provide a framework for studying the properties of continuous functions.
(284) The open sets in a topological space can be thought of as the building blocks of the space.
(285) The concept of a plane graph is essential in studying the topological properties of graphs.
(286) Topological graphs are used in social network analysis to identify influential individuals.
(287) The study of topological spaces helps us understand the behavior of functions and mappings.
(288) Topological sort is used in constraint satisfaction algorithms to optimize problem solving.
(289) A topological graph can be used to study the connectivity of a protein interaction network.
(290) The topological graph of a telecommunications network can aid in optimizing signal routing.
(291) A finitedimensional manifold is a topological space that locally resembles Euclidean space.
(292) Topological optimization is an essential step in the design of high-performance racing cars.
(293) Topological optimization is a key factor in the design of high-performance sports equipment.
(294) Topological optimization is used to minimize stress concentrations in mechanical components.
(295) Topological optimization is a cutting-edge technique that revolutionizes engineering design.
(296) The topological sort algorithm can be used to determine the order of courses in a curriculum.
(297) The topological graph of a neural network can help understand its computational capabilities.
(298) The topological graph of a supply chain can help identify bottlenecks and optimize logistics.
(299) The concept of a topological space is closely related to the idea of topological equivalence.
(300) Topological sorting is a crucial step in solving problems related to directed acyclic graphs.
(301) Topological optimization plays a crucial role in the development of advanced medical devices.
(302) Topological optimization is an essential tool in the development of renewable energy systems.
(303) Topological optimization is used to optimize the distribution of material within a structure.
(304) Topological optimization can be used to optimize the distribution of forces within a structure
(305) The study of endomorphisms is essential in understanding the properties of topological spaces.
(306) Skyrmions exhibit unique properties such as topological protection and low energy dissipation.
(307) Topological spaces provide a framework for studying the properties of continuous deformations.
(308) The application of topological optimization can lead to innovative and unconventional designs.
(309) In mathematics, a topological graph is a way to represent the connectivity of a set of points.
(310) The use of topological optimization can result in reduced material waste during manufacturing.
(311) The topological sort of a graph can be used to determine the order of database table creation.
(312) Topological sort is used in task scheduling algorithms to minimize the overall completion time.
(313) Hypersurfaces can have different topological properties depending on their dimension and shape.
(314) The results of topological optimization can be validated through physical testing and analysis.
(315) In computer science, a topological graph is often used to represent dependencies between tasks.
(316) Homotopy equivalence is a relation between spaces that preserves certain topological properties.
(317) The concept of a topological space is closely related to the idea of neighborhood and proximity.
(318) The use of topological optimization can result in cost savings during the manufacturing process.
(319) The application of topological optimization can lead to improved energy efficiency in buildings.
(320) Topological optimization is a key aspect of designing lightweight and durable consumer products.
(321) The topological sort of a graph can be used to determine the order of evaluation of expressions.
(322) Topological sorting is used in various applications, such as task scheduling and job sequencing.
(323) The topological sorting of a graph can be used to determine the order of execution of processes.
(324) Engineers often use topological optimization to improve the performance of mechanical components.
(325) Topological optimization can help engineers find innovative solutions to complex design problems.
(326) The topological sort algorithm can be used to determine the order of function calls in a program.
(327) Topological spaces provide a framework for studying the properties of continuous transformations.
(328) Topological sorting is a powerful tool for analyzing and solving problems involving dependencies.
(329) The discovery of a new type of quasiparticle has revolutionized the field of topological physics.
(330) The topological graph of a social network can reveal patterns of connections between individuals.
(331) The implementation of topological optimization can enhance the structural integrity of buildings.
(332) The implementation of topological optimization can improve the performance of fluid flow systems.
(333) The Euler characteristic is a topological invariant that describes the connectivity of a surface.
(334) A topological space can be visualized as a set with a certain arrangement of open and closed sets.
(335) A topological space can be defined by specifying its open sets and the relationships between them.
(336) The use of topological optimization can result in structures that are both lightweight and robust.
(337) The topological sort of a graph can be used to determine the order of function calls in a program.
(338) The topological sorting algorithm can be modified to handle graphs with multiple sources or sinks.
(339) In telecommunications, a topological graph can help in designing efficient communication networks.
(340) The implementation of topological optimization can enhance the performance of wind turbine blades.
(341) Topological optimization is a versatile tool that can be applied to a wide range of design problems
(342) The topological sort algorithm can be implemented using depth-first search or breadth-first search.
(343) The homeomorphic nature of two objects can be determined by examining their topological invariants.
(344) The application of topological optimization can lead to significant weight reduction in structures.
(345) The implementation of topological optimization can lead to improved energy efficiency in buildings.
(346) The topological sort of a graph can be used to determine the order of event processing in a system.
(347) The topological sorting of a graph can be used to identify the critical path in a project schedule.
(348) The topological sort of a graph can be used to determine the order of execution for a set of rules.
(349) The topological sorting of a graph can be used to determine the order of evaluation of expressions.
(350) The automorphism of a topological space can be used to study its homeomorphisms and continuous maps.
(351) The topological sorting algorithm can be used to determine the order of function calls in a program.
(352) The concept of a topological space allows for the study of continuity without the need for a metric.
(353) The study of topological spaces is essential in understanding the structure of mathematical objects.
(354) The definition of a topological space involves specifying the open sets that satisfy certain axioms.
(355) Topological optimization is used in the medical field to design customized implants and prosthetics.
(356) The implementation of topological optimization can lead to improved product durability and lifespan.
(357) Engineers often employ topological optimization to improve the performance of mechanical components.
(358) Topological optimization techniques can be used to optimize the flow of fluids in pipes and channels.
(359) The topological sort algorithm can be used to determine the order of execution in parallel computing.
(360) The study of topological spaces is essential in understanding the behavior of topological invariants.
(361) The properties of a topological space can be analyzed using various topological tools and techniques.
(362) Topological sort is used in network routing algorithms to determine the order of packet transmission.
(363) Topological sorting is a key concept in understanding the structure and relationships within a graph.
(364) The set of all continuous transformations of a topological space forms a semigroup under composition.
(365) The topological sorting of a graph can be used to determine the order of compilation of source files.
(366) The topological sort algorithm ensures that no task is executed before its dependencies are completed.
(367) Every metric space can be considered as a topological space by defining open sets based on the metric.
(368) The topological sort of a graph can be used to determine the order of page rendering in a web browser.
(369) The application of topological optimization can result in improved heat transfer in electronic devices.
(370) The topological sort of a graph can be used to determine the order of compilation of source code files.
(371) The topological sort of a graph can be used to determine the order of execution for a set of workflows.
(372) The category of topological spaces and continuous maps is another example of a category with morphisms.
(373) The topological sorting algorithm can be used to determine the order of execution in parallel computing.
(374) In transportation planning, topological graphs are used to analyze connectivity between different modes.
(375) The concept of a topological space is essential in understanding the behavior of topological structures.
(376) Topological optimization is used in the renewable energy sector to design efficient wind turbine blades.
(377) The automotive industry benefits from topological optimization by creating more fuel-efficient vehicles.
(378) The topological sort of a graph can be used to determine the order of execution for parallel processing.
(379) Topological optimization can be used to reduce the weight of structures while maintaining their strength.
(380) The concept of topological optimization is based on mathematical principles and computational algorithms.
(381) Topological optimization is a key tool in the development of advanced materials with tailored properties.
(382) The topological sorting of a graph can be used to determine the order of execution of parallel processes.
(383) The topological sort of a graph can be used to determine the order of module loading in a software system.
(384) The topological sorting algorithm can be used to find a valid sequence of courses to take in a curriculum.
(385) The application of topological optimization can lead to improved thermal management in electronic devices.
(386) The topological sort of a graph can be used to determine the order of execution for a set of transactions.
(387) The implementation of topological optimization can lead to reduced material waste and environmental impact.
(388) The study of topological spaces involves understanding the properties of open sets under various operations
(389) Topological optimization is a valuable tool for designers seeking to balance performance, weight, and cost.
(390) The topological sort of a graph can be used to determine the order of instruction execution in a processor.
(391) The application of topological optimization can lead to significant cost savings in manufacturing processes.
(392) The results of topological optimization can be visualized through computer-generated models and simulations.
(393) Topological optimization is used in the construction industry to optimize the layout of building components.
(394) Topological sort is used in dependency resolution algorithms to determine the order of package installation.
(395) Topological sort is used in dependency injection frameworks to determine the order of object initialization.
(396) The topological sorting of a graph can be used to determine the order of execution of database transactions.
(397) The use of topological optimization in product design can result in more ergonomic and user-friendly designs.
(398) The topological sort algorithm can be used to determine the order of operations in a mathematical expression.
(399) The concept of a topological space was introduced by mathematician Felix Hausdorff in the early 20th century.
(400) The study of topological spaces involves analyzing the relationships between open sets and their complements.
(401) Topological optimization is a cutting-edge technique that is revolutionizing the field of engineering design.
(402) The topological sorting algorithm can be implemented using either depth-first search or breadth-first search.
(403) A topological space is a mathematical structure that consists of a set of points and a collection of open sets.
(404) A topological space can have multiple different topologies, each defining a different arrangement of open sets.
(405) Topological optimization is a valuable tool for designers looking to create efficient and sustainable products.
(406) The topological sorting algorithm can be used to find a valid order of operations in a mathematical expression.
(407) The application of topological optimization can lead to reduced material waste during the manufacturing process.
(408) The use of topological optimization can result in structures that are optimized for specific loading conditions.
(409) Topological optimization is commonly used in the aerospace industry to design lightweight and strong components.
(410) An automorphism can be thought of as a self-homeomorphism that preserves the topological properties of an object.
(411) The use of topological optimization in medical device design can lead to more efficient and effective treatments.
(412) The goal of topological optimization is to find the optimal distribution of material within a given design space.
(413) Topological optimization is widely used in the aerospace industry to design lightweight and efficient structures.
(414) Topological optimization is used in the automotive industry to reduce vehicle weight and improve fuel efficiency.
(415) The implementation of topological optimization can lead to improved safety and reliability in engineering systems.
(416) The topological sort algorithm can be used to determine the order of function evaluations in symbolic computation.
(417) Topological optimization is a rapidly evolving field with new techniques and algorithms being developed regularly.
(418) The topological sort of a graph can be used to determine the order of state transitions in a finite state machine.
(419) Topological optimization can be used to design lightweight and efficient support structures for 3D-printed objects.
(420) Topological optimization is a multidisciplinary field that combines engineering, mathematics, and computer science.
(421) The goal of topological optimization is to maximize the performance of a design while minimizing its material usage.
(422) The use of topological optimization can help engineers identify weak points in a structure and improve its strength.
(423) The topological sorting of a graph can be used to determine the order of execution of tasks in a distributed system.
(424) The concept of a plane graph is fundamental in understanding the topological properties of different graph structures.
(425) The use of topological optimization in architectural design can result in innovative and visually striking structures.
(426) The implementation of topological optimization can lead to improved energy efficiency in buildings and infrastructure.
(427) The implementation of topological optimization can lead to improved performance and reliability of mechanical systems.
(428) Topological spaces are used in various branches of mathematics, including algebraic topology and differential geometry.
(429) The topological sorting algorithm can be used to determine the order of execution for a set of tasks with dependencies.
(430) Topological spaces provide a framework for studying the properties of sets and their relationships in a general setting.
(431) In topological sorting, each directed edge goes from a vertex earlier in the ordering to a vertex later in the ordering.
(432) The process of topological optimization involves finding the most efficient arrangement of material within a given space.
(433) The eulerian characteristic is a numerical invariant of a graph that can be used to determine its topological properties.
(434) The concept of a topological space generalizes the notion of distance and allows for more abstract mathematical analysis.
(435) The topological sorting of a graph can be used to determine the order of execution of instructions in a computer program.
(436) The concept of a topological space is abstract and general, allowing for the study of a wide range of mathematical objects.
(437) Topological optimization is commonly used in the aerospace industry to design lightweight and efficient aircraft components.
(438) The category of topological spaces and continuous maps is an example of a category where morphisms are continuous functions.
(439) The topological sorting of a graph can be used to determine the order of execution of operations in a manufacturing process.
(440) The application of topological optimization in manufacturing processes can lead to faster and more cost-effective production.
(441) The use of topological optimization can help engineers overcome design constraints and push the boundaries of what is possible.
(442) Birkhoff's theorem on the existence of topological entropy provides a topological measure of the complexity of a dynamical system.
(443) Topological sorting can be applied to various real-world scenarios, such as course prerequisites or software dependency management.
(444) Topological optimization algorithms can analyze and optimize the shape and layout of a design based on specified performance criteria.
(445) The universal property of a topological space ensures that it is the most general space that satisfies a certain property in topology.
(446) The use of topological optimization in the design of transportation systems can lead to improved efficiency and reduced energy consumption.
(447) The topological sorting algorithm has a time complexity of O(V + E), where V is the number of vertices and E is the number of edges in the graph.
(448) Birkhoff's theorem on the existence of topological transitivity guarantees the existence of points that can be arbitrarily well approximated by periodic orbits.
Learning English Faster Through Complete Sentences With "Topological"
Sentences are everywhere.
Without sentences, language doesn’t really work.
When you first started learning English, you may have memorized words such as English meaning of the word "Topological"; But now that you have a better understanding of the language, there’s a better way for you to learn meaning of "Topological" through sentence examples.
True, there are still words that you don’t know. But if you learn whole sentences with "Topological", instead of the word "Topological" by itself, you can learn a lot faster!
Focus Your English Learning On Sentences With "Topological".
Why Is Focusing on Sentences Important?
Sentences are more than just strings of words. They’re thoughts, ideas and stories. Just like letters build words, words build sentences. Sentences build language, and give it personality.
Again, without sentences, there’s no real communication. If you were only reading words right now, you wouldn’t be able to understand what I’m saying to you at all.
- The Word "Topological" in Example Sentences.
- "Topological" in a sentence.
- How to use "Topological" in a sentence.
- 10 examples of sentences "Topological".
- 20 examples of simple sentences "Topological".
All the parts of speech in English are used to make sentences. All sentences include two parts: the subject and the verb (this is also known as the predicate). The subject is the person or thing that does something or that is described in the sentence. The verb is the action the person or thing takes or the description of the person or thing. If a sentence doesn’t have a subject and a verb, it is not a complete sentence (e.g., In the sentence “Went to bed,” we don’t know who went to bed).
Four Types Of Sentence Structure.
Simple Sentences With "Topological"
A simple sentence with "Topological"contains a subject and a verb, and it may also have an object and modifiers. However, it contains only one independent clause.
Compound Sentences With "Topological"
A compound sentence with "Topological" contains at least two independent clauses. These two independent clauses can be combined with a comma and a coordinating conjunction or with a semicolon.
Complex Sentences With "Topological"
A complex sentence with "Topological" contains at least one independent clause and at least one dependent clause. Dependent clauses can refer to the subject (who, which) the sequence/time (since, while), or the causal elements (because, if) of the independent clause.
Compound-Complex Sentences With "Topological"
Sentence types can also be combined. A compound-complex sentence with "Topological" contains at least two independent clauses and at least one dependent clause.