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"_journal/2024-06/2024-06-12.md": "f82dfa74d0def8c3179d3d076f94558e",
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"_journal/2024-06/2024-06-12.md": "f82dfa74d0def8c3179d3d076f94558e",
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"_journal/2024-06-14.md": "5d12bc272238ac985a1d35d3d63ea307",
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"_journal/2024-06-14.md": "5d12bc272238ac985a1d35d3d63ea307",
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"_journal/2024-06/2024-06-13.md": "e2722a00585d94794a089e8035e05728",
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"_journal/2024-06/2024-06-13.md": "e2722a00585d94794a089e8035e05728",
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"set/functions.md": "7c2522a117917e6f96d2c701deee084d",
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"set/functions.md": "f10998cb17657526363f57c077f7a6f1",
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"_journal/2024-06-15.md": "92cb8dc5c98e10832fb70c0e3ab3cec4",
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"_journal/2024-06-15.md": "92cb8dc5c98e10832fb70c0e3ab3cec4",
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"_journal/2024-06/2024-06-14.md": "5d12bc272238ac985a1d35d3d63ea307",
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"_journal/2024-06/2024-06-14.md": "5d12bc272238ac985a1d35d3d63ea307",
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"lambda-calculus/beta-reduction.md": "0935987f2bac0e6298735f2b26fd5885",
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"lambda-calculus/beta-reduction.md": "0935987f2bac0e6298735f2b26fd5885",
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"_journal/2024-11/2024-11-08.md": "806bbade5f8339579287687f9433334e",
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"_journal/2024-11/2024-11-08.md": "806bbade5f8339579287687f9433334e",
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"_journal/2024-11/2024-11-07.md": "434ec3f15d7065ea740127aa8477dd17",
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"_journal/2024-11/2024-11-07.md": "434ec3f15d7065ea740127aa8477dd17",
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"x86-64/directives.md": "019c1c1d04efb26c3e8758aac4543cc7",
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"x86-64/directives.md": "019c1c1d04efb26c3e8758aac4543cc7",
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"geometry/cartesian.md": "199e29cf8debdff01d12528a50f08a92",
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"geometry/cartesian.md": "b7003f70ab4822aa6eb4b84ba35f6e65",
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"geometry/index.md": "679dcd097f4bebe417828c695444c88c"
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"geometry/index.md": "679dcd097f4bebe417828c695444c88c",
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"_journal/2024-11-10.md": "5478337fd2017b99d0b359713a511e66",
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"_journal/2024-11/2024-11-09.md": "46f3a640223ef533f4523837b67b57c3"
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},
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"fields_dict": {
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"fields_dict": {
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"Basic": [
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"Basic": [
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title: "2024-11-16"
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title: "2024-11-10"
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* Finished chapter 4 "Natural Numbers" of Enderton's "Elements of Set Theory."
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title: "2024-11-11"
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title: "2024-11-16"
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title: "2024-11-16"
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title: "2024-11-16"
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title: "2024-11-16"
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@ -12,14 +12,14 @@ In plane analytic geometry, the **Cartesian coordinate system** uniquely specifi
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%%ANKI
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%%ANKI
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Cloze
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Cloze
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The {$x$-coordinate} of a point is sometimes called its {abscissa).
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The {$x$-coordinate} of a point is sometimes called its {abscissa}.
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Reference: Tom M. Apostol, _Calculus, Vol. 1: One-Variable Calculus, with an Introduction to Linear Algebra_, 2nd ed. (New York: Wiley, 1980).
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Reference: Tom M. Apostol, _Calculus, Vol. 1: One-Variable Calculus, with an Introduction to Linear Algebra_, 2nd ed. (New York: Wiley, 1980).
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<!--ID: 1731184865785-->
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<!--ID: 1731184865785-->
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END%%
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END%%
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%%ANKI
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%%ANKI
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Cloze
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Cloze
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The {$y$-coordinate} of a point is sometimes called its {ordinate).
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The {$y$-coordinate} of a point is sometimes called its {ordinate}.
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Reference: Tom M. Apostol, _Calculus, Vol. 1: One-Variable Calculus, with an Introduction to Linear Algebra_, 2nd ed. (New York: Wiley, 1980).
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Reference: Tom M. Apostol, _Calculus, Vol. 1: One-Variable Calculus, with an Introduction to Linear Algebra_, 2nd ed. (New York: Wiley, 1980).
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<!--ID: 1731184865791-->
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<!--ID: 1731184865791-->
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END%%
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END%%
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@ -1904,7 +1904,7 @@ END%%
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%%ANKI
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%%ANKI
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Basic
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Basic
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Let $C_*$ be the closure of $A$ under $f$ defined in terms of function $h$. What is $h$'s codomain?
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Let $C_*$ be the closure of $A$ under $f$ defined in terms of function $h$. What is $h$'s codomain?
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Back: Assume $A \subseteq B$ and $f \colon B \rightarrow B$. Then $h$'s codomain is $B$.
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Back: Assume $A \subseteq B$ and $f \colon B \rightarrow B$. Then $h$'s codomain is $\mathscr{P}(B)$.
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Reference: Herbert B. Enderton, *Elements of Set Theory* (New York: Academic Press, 1977).
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Reference: Herbert B. Enderton, *Elements of Set Theory* (New York: Academic Press, 1977).
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<!--ID: 1729684379373-->
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<!--ID: 1729684379373-->
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END%%
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END%%
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