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topology    
n. 地志學,拓撲數學,局部解剖學

地志學,拓撲數學,局部解剖學

topology
拓撲

topology
拓撲學 佈局

topology
n 1: topographic study of a given place (especially the history
of the place as indicated by its topography); "Greenland's
topology has been shaped by the glaciers of the ice age"
2: the study of anatomy based on regions or divisions of the
body and emphasizing the relations between various structures
(muscles and nerves and arteries etc.) in that region [synonym:
{regional anatomy}, {topographic anatomy}, {topology}]
3: the branch of pure mathematics that deals only with the
properties of a figure X that hold for every figure into
which X can be transformed with a one-to-one correspondence
that is continuous in both directions [synonym: {topology},
{analysis situs}]
4: the configuration of a communication network [synonym:
{topology}, {network topology}]

Topology \To*pol"o*gy\, n. [Gr. ? place -logy.]
The art of, or method for, assisting the memory by
associating the thing or subject to be remembered with some
place. [R.]
[1913 Webster]

2. a branch of mathematics which studies the properties of
geometrical forms which retain their identity under
certain transformations, such as stretching or twisting,
which are homeomorphic. See also {topologist}.
[PJC]

3. configuration, especially in three dimensions; -- used, e.
g. of the configurations taken by macromolecules, such as
superhelical DNA.
[PJC]

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英文字典中文字典相關資料:
  • Topology - Wikipedia
    The term topology also refers to a specific mathematical idea central to the area of mathematics called topology Informally, a topology describes how elements of a set relate spatially to each other The same set can have different topologies
  • Types of Network Topology - GeeksforGeeks
    Network topology refers to the arrangement of different elements like nodes, links, or devices in a computer network Common types of network topology include bus, star, ring, mesh, and tree topologies, each with its advantages and disadvantages
  • Topology | Types, Properties Examples | Britannica
    Topology, while similar to geometry, differs from geometry in that geometrically equivalent objects often share numerically measured quantities, such as lengths or angles, while topologically equivalent objects resemble each other in a more qualitative sense
  • TOPOLOGY Definition Meaning - Merriam-Webster
    The meaning of TOPOLOGY is topographic study of a particular place; specifically : the history of a region as indicated by its topography How to use topology in a sentence
  • Topology -- from Wolfram MathWorld
    Topology can be divided into algebraic topology (which includes combinatorial topology), differential topology, and low-dimensional topology The low-level language of topology, which is not really considered a separate "branch" of topology, is known as point-set topology
  • Topology - Harvard University
    Part II is an introduction to algebraic topology, which associates algebraic structures such as groups to topological spaces We will follow Munkres for the whole course, with some occassional added
  • Topology | Brilliant Math Science Wiki
    Topology is the study of properties of geometric spaces which are preserved by continuous deformations (intuitively, stretching, rotating, or bending are continuous deformations; tearing or gluing are not) The theory originated as a way to classify and study properties of shapes in
  • The Many Faces of Topology - Physics Forums
    Topology is a branch of mathematics that encompasses many different parts It is sometimes even difficult to see what these branches have in common or why they are all called topology
  • What is Topology? | Pure Mathematics - University of Waterloo
    Topology studies properties of spaces that are invariant under any continuous deformation It is sometimes called "rubber-sheet geometry" because the objects can be stretched and contracted like rubber, but cannot be broken





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