Property talk:P2534/test
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| label | defining formula | ?value |
|---|---|---|
| number of decimal digits | \left \lfloor \log_{10}n \right \rfloor + 1 | Failed to parse (syntax error): {\displaystyle <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mrow> <mo>⌊</mo> <mrow> <msub> <mi>log</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>10</mn> </mrow> </msub> <mo>⁡<!-- --></mo> <mi>n</mi> </mrow> <mo>⌋</mo> </mrow> <mo>+</mo> <mn>1</mn> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle \left\lfloor \log _{10}n\right\rfloor +1}</annotation> </semantics> } |
| Buddhabrot | z_{n+1} = {z_n}^2 + c | Failed to parse (syntax error): {\displaystyle <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <msub> <mi>z</mi> <mrow class="MJX-TeXAtom-ORD"> <mi>n</mi> <mo>+</mo> <mn>1</mn> </mrow> </msub> <mo>=</mo> <msup> <mrow class="MJX-TeXAtom-ORD"> <msub> <mi>z</mi> <mrow class="MJX-TeXAtom-ORD"> <mi>n</mi> </mrow> </msub> </mrow> <mrow class="MJX-TeXAtom-ORD"> <mn>2</mn> </mrow> </msup> <mo>+</mo> <mi>c</mi> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle z_{n+1}={z_{n}}^{2}+c}</annotation> </semantics> } |
| forcing | u\in M^{(\mathbb P)}\} | Failed to parse (syntax error): {\displaystyle <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>M</mi> <mo stretchy="false">[</mo> <mi>G</mi> <mo stretchy="false">]</mo> <mo>=</mo> <mo fence="false" stretchy="false">{</mo> <mi>val</mi> <mo>⁡<!-- --></mo> <mo stretchy="false">(</mo> <mi>u</mi> <mo>,</mo> <mi>G</mi> <mo stretchy="false">)</mo> <mrow class="MJX-TeXAtom-ORD"> <mo stretchy="false">|</mo> </mrow> <mi>u</mi> <mo>∈<!-- ∈ --></mo> <msup> <mi>M</mi> <mrow class="MJX-TeXAtom-ORD"> <mo stretchy="false">(</mo> <mrow class="MJX-TeXAtom-ORD"> <mi mathvariant="double-struck">P</mi> </mrow> <mo stretchy="false">)</mo> </mrow> </msup> <mo fence="false" stretchy="false">}</mo> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle M[G]=\{\operatorname {val} (u,G)|u\in M^{(\mathbb {P} )}\}}</annotation> </semantics> } |
| measure-preserving dynamical system | (X, \mathcal{B}, \mu, T) | Failed to parse (syntax error): {\displaystyle <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mo stretchy="false">(</mo> <mi>X</mi> <mo>,</mo> <mrow class="MJX-TeXAtom-ORD"> <mrow class="MJX-TeXAtom-ORD"> <mi class="MJX-tex-caligraphic" mathvariant="script">B</mi> </mrow> </mrow> <mo>,</mo> <mi>μ<!-- μ --></mi> <mo>,</mo> <mi>T</mi> <mo stretchy="false">)</mo> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle (X,{\mathcal {B}},\mu ,T)}</annotation> </semantics> } |
| Frobenius norm | \lVert A \rVert_F = \sqrt{\text{Tr}(AA^*)} | Failed to parse (syntax error): {\displaystyle <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mo fence="false" stretchy="false">‖<!-- ‖ --></mo> <mi>A</mi> <msub> <mo fence="false" stretchy="false">‖<!-- ‖ --></mo> <mrow class="MJX-TeXAtom-ORD"> <mi>F</mi> </mrow> </msub> <mo>=</mo> <mrow class="MJX-TeXAtom-ORD"> <msqrt> <mrow class="MJX-TeXAtom-ORD"> <mtext>Tr</mtext> </mrow> <mo stretchy="false">(</mo> <mi>A</mi> <msup> <mi>A</mi> <mrow class="MJX-TeXAtom-ORD"> <mo>∗<!-- ∗ --></mo> </mrow> </msup> <mo stretchy="false">)</mo> </msqrt> </mrow> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle \lVert A\rVert _{F}={\sqrt {{\text{Tr}}(AA^{*})}}}</annotation> </semantics> } |