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stem/Maths/Algebra.md
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Charities.md
Health/BWS.md
History/Britain.md
Lab/DNS.md
Lab/Deleted Packages.md
Lab/Ebook Laundering.md
Lab/Home.md
Lab/Mac.md
Lab/Photo Migration.md
Languages/Arabic.md
Money/Assets/Derivative.md
Money/Assets/Financial Instruments.md
Money/Assets/Security.md
Money/Econ.md
Money/Equity.md
Money/Giving.md
Money/Markets/Commodity.md
Money/Markets/Markets.md
Money/Markets/Types.md
STEM/AI/Literature.md
STEM/AI/Properties.md
STEM/CS/ABI.md
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STEM/CS/Compilers.md
STEM/CS/Language Binding.md
STEM/CS/Languages/dotNet.md
STEM/CS/Quantum.md
STEM/CS/Resources.md
STEM/CS/Turing Machines.md
STEM/Maths/Algebra.md
STEM/Semiconductors/Equations.md
STEM/Signal Proc/Convolution.md
STEM/Signal Proc/Fourier Transform.md
STEM/Speech/Literature.md
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2023-05-22 17:32:00 +01:00

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Field

  • Set on which addition and multiplication defined
    • Behave same as on rational and real numbers
    • Subtraction, division implied
  • Examples
    • Rational numbers
    • Real numbers
    • Complex numbers
  • Any field can be used as scalars for a vector space
  • A commutative ring where 0 =/= 1 and all nonzero elements are invertible

Vector Space

  • Set of vectors
    • Can be added together and multiplied by scalar
      • Can be scaled by complex numbers
        • Part of definitions
      • Must satisfy vector axioms