ASL STEM

Metric Sign Video

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Definition

A nonnegative function g(x,y) describing the "distance" between neighboring points for a given set. A metric satisfies the triangle inequality g(x,y)+g(y,z)>=g(x,z), and is symmetric, so g(x,y)=g(y,x). A metric also satisfies g(x,x)=0, as well as the condition that g(x,y)=0 implies x=y.

Source: http://mathworld.wolfram.com/Metric.html

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+ Tychonoff Theorem *

+ Topological Space *

+ Discrete Topology *

+ Indiscrete (Trivial) Topology *

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+ Lower Limit Topology *

+ Product Topology *

+ Homeomorphism *

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+ Order Topology *

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+ Unit Circle *

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+ Metric Topology *

+ First Countability Axiom *

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+ The Sequence Lemma *

+ Total Boundedness *

+ Uniform Limit Theorem *

+ Uniform Metric *

+ Uniform Topology *

+ Unit 2 Sphere *

+ Quoitent Topology *

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+ Uniform Continuity Theorem *

+ Second Countable *

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+ Countably Locally Finite *

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+ Nagata Smirnov Metrization Thm *

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+ Fundamental Thm Of Algebra *

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