Dimensions in Physics and Mathematics
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Questions and Answers

What is the dimension of a line in mathematical space?

  • 4D
  • 1D (correct)
  • 3D
  • 2D

How many dimensions does the inside of a sphere have?

  • 1D
  • 3D (correct)
  • 4D
  • 2D

What is the dimension of a two-dimensional Euclidean space on the plane?

  • 4D
  • 1D
  • 2D (correct)
  • 3D

In classical mechanics, how many dimensions are space and time considered to be?

<p>4D (B)</p> Signup and view all the answers

In mathematics, the dimension of an object is defined as:

<p>The number of coordinates needed to define the position of a point constrained to be on the object (A)</p> Signup and view all the answers

What does Minkowski space first approximate in the universe?

<p>Spacetime without gravity (D)</p> Signup and view all the answers

What is the dimension of a point in mathematics?

<p>Zero (C)</p> Signup and view all the answers

Which notion leads to the definition of Minkowski dimension and Hausdorff dimension?

<p>Covering a fixed ball in En by small balls of radius ε (D)</p> Signup and view all the answers

What does the boundary of a ball in En look like locally?

<p>En-1 (C)</p> Signup and view all the answers

How do mathematicians express the fact that a tesseract has four dimensions?

<p>'The tesseract has dimension 4' (A)</p> Signup and view all the answers

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