Topology

Nathan Fielder

Nathan Fielder

Founder and CEO of Dumb Starbucks™
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Topology is the branch of mathematics studying geometric properties invariant under continuous deformations—stretching or twisting—without tearing or gluing, often called "rubber-sheet geometry". It focuses on connectivity and shape rather than rigid measurements, classifying objects like shapes, surfaces, and spaces
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University of Waterloo
University of Waterloo +2
Key Aspects of Topology:
  • Fundamental Concepts: Deals with properties like connectivity, compactness, and continuity. It defines openness and closeness in sets.
  • Continuous Deformation: Two objects are topologically equivalent if one can be transformed into the other, such as a coffee mug into a donut, which share one hole.
  • Branches: Main areas include Point Set Topology (foundational), Algebraic Topology (using algebra to study spaces), and Differential Topology (differentiable functions).
  • Applications: It is used in physics (string theory), data science, robotics (analyzing robot movement), and network analysis.
  • Network Topology: Refers to the arrangement of elements (links, nodes) in a communication network, such as star or bus topologies.
    University of Waterloo
    University of Waterloo +7
Topology provides a crucial framework for understanding the shape of data and physical space.
 
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  • JFL
Reactions: looks_minimizing, MLP, untermensch faggot and 5 others
Sounds like a bunch of egghead bullshit
 
  • JFL
  • +1
Reactions: MLP and random subhuman
Topology is the branch of mathematics studying geometric properties invariant under continuous deformations—stretching or twisting—without tearing or gluing, often called "rubber-sheet geometry". It focuses on connectivity and shape rather than rigid measurements, classifying objects like shapes, surfaces, and spaces
.
View attachment 4894432University of Waterloo +2
Key Aspects of Topology:
  • Fundamental Concepts: Deals with properties like connectivity, compactness, and continuity. It defines openness and closeness in sets.
  • Continuous Deformation: Two objects are topologically equivalent if one can be transformed into the other, such as a coffee mug into a donut, which share one hole.
  • Branches: Main areas include Point Set Topology (foundational), Algebraic Topology (using algebra to study spaces), and Differential Topology (differentiable functions).
  • Applications: It is used in physics (string theory), data science, robotics (analyzing robot movement), and network analysis.
  • Network Topology: Refers to the arrangement of elements (links, nodes) in a communication network, such as star or bus topologies.
    View attachment 4894433University of Waterloo +7
Topology provides a crucial framework for understanding the shape of data and physical space.
Straight from Google's ai
 
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Top species of biology
 
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  • JFL
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Nigga just cant escape the milking:feelskek:
 
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  • Hmm...
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Algebraic Topology, do research on that.
 
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Never said I made it. I think that should be pretty obvious for anyone with an IQ higher than 80

BURN LOL
You didn't mention that it's not yours either
 
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@Ghost Philosophy @tuberculosisinmybal
the report button exists i already told you + he is talking about milking you for reps which is not gay posting
 
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Reactions: topology, MLP and Nathan Fielder

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