andy
be05b7905d
Affected files: .obsidian/community-plugins.json .obsidian/graph.json .obsidian/plugins/table-editor-obsidian/data.json .obsidian/plugins/table-editor-obsidian/main.js .obsidian/plugins/table-editor-obsidian/manifest.json .obsidian/plugins/table-editor-obsidian/styles.css .obsidian/workspace.json 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 STEM/CS/Code Types.md 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 STEM/img/ai-io.png STEM/img/ai-nested-subjects.png STEM/img/cli-infrastructure.png Tattoo/Plans.md Tattoo/img/chest.png
18 lines
539 B
Markdown
18 lines
539 B
Markdown
# Field
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- Set on which addition and multiplication defined
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- Behave same as on rational and real numbers
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- Subtraction, division implied
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- Examples
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- Rational numbers
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- Real numbers
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- Complex numbers
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- Any field can be used as scalars for a vector space
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- A commutative ring where 0 =/= 1 and all nonzero elements are invertible
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## Vector Space
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- Set of vectors
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- Can be added together and multiplied by scalar
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- Can be scaled by complex numbers
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- Part of definitions
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- Must satisfy vector axioms |