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What's an intuitive explanation behind cross products being vectors, when dot products are not?

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#linear-algebra #vectors #intuition #cross-product
5.7k
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How can skew-symmetric matrices be thought of as infinitesimal rotations?

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#linear-algebra #geometry #lie-groups #intuition #infinitesimals
37
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Intuition behind the given formula for Expectation.

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#expectation #intuition
887
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Position operator

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#functional-analysis #reference-request #physics #intuition #mathematical-physics
150
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Intuitive computation of localizations

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#algebraic-geometry #ring-theory #commutative-algebra #intuition #localization
1k
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Do quotient rings have geometric meaning, or geometric intuition?

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#abstract-algebra #geometry #ring-theory #intuition #quotient-spaces
98
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Geometric Intuition for Adding Projections

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#linear-algebra #geometry #intuition #projective-geometry #orthogonality
217
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Why do elements in $\mathbb R[x]/(x^2)$ look like at most degree one polynomials?

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#abstract-algebra #ring-theory #intuition #quotient-spaces
160
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Intuition for remembering adjunction chirality

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#category-theory #intuition #adjoint-functors
619
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How to visualise and understand the sum and product rules of counting?

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#combinatorics #recreational-mathematics #intuition
72
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What's the reason behind $e^{tx} \leq \frac{b-x}{b-a}e^{ta}+\frac{x-a}{b-a}e^{tb}$?

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#inequality #intuition
1.8k
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Why is vertical distance the standard in least squares?

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#linear-algebra #geometry #statistics #intuition #least-squares
82
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Error made if we consider the whole globe as the coordinate chart?.

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#manifolds #intuition #visualization
614
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Intuition with Complex Derivatives of a Complex Variable.

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#complex-analysis #intuition
3.8k
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Is there an intuitive reason for a certain operation to be associative?

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#abstract-algebra #intuition #associativity

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