$ \renewcommand{\phi}{\varphi}
\renewcommand{\epsilon}{\varepsilon}
\newcommand\define[1]{\textbf{#1}\index{#1}}
% Letters/Font
\DeclareMathOperator{\bF}{\mathbb{F}}
\DeclareMathOperator{\bQ}{\mathbb{Q}}
\DeclareMathOperator{\bZ}{\mathbb{Z}}
\DeclareMathOperator{\bR}{\mathbb{R}}
\DeclareMathOperator{\bC}{\mathbb{C}}
\DeclareMathOperator{\bE}{\mathbb{E}}
\DeclareMathOperator{\bN}{\mathbb{N}}
\DeclareMathOperator{\bM}{\mathbb{M}}
\DeclareMathOperator{\bH}{\mathbb{H}}
\DeclareMathOperator{\bP}{\mathbb{P}}
\DeclareMathOperator{\cH}{\mathcal{H}}
\DeclareMathOperator{\cA}{\mathcal{A}}
\DeclareMathOperator{\cB}{\mathcal{B}}
\DeclareMathOperator{\cC}{\mathcal{C}}
\newcommand\bb[1]{\mathbb{#1}}
\newcommand\mc[1]{\mathcal{#1}}
\newcommand{\w}[1]{\wedge#1}
\newcommand\mean[1]{\bar{#1}}
\newcommand\conj[1]{\bar{#1}}
\DeclareMathOperator*{\argmin}{arg\,min}
\DeclareMathOperator*{\argmax}{arg\,max}
% Grouping Operators
\newcommand{\floor}[1]{\left\lfloor#1\right\rfloor}
\newcommand{\ceil}[1]{\left\lceil#1\right\rceil}
\newcommand{\parens}[1]{\left(#1\right)}
% note that we defined bracks not brace/braces because brace is already used by amsmath
\newcommand{\bracks}[1]{\left\{#1\right\}}
\newcommand{\sqbracks}[1]{\left[#1\right]}
\newcommand{\clop}[1]{\left[#1\right)}
\newcommand{\opcl}[1]{\left(#1\right]}
\newcommand{\angles}[1]{\langle#1\rangle}
\newcommand{\p}[1]{\left(#1\right)}
% \newcommand{\b}[1]{\left\{#1\right\}}
\newcommand{\q}[1]{\left[#1\right]}
\newcommand{\abs}[1]{\left|#1\right|}
\newcommand{\n}[1]{\left\lVert#1\right\rVert}
% probability
\DeclareMathOperator{\Cov}{Cov}
\DeclareMathOperator{\Var}{Var}
\DeclareMathOperator{\Cor}{Cor}
\DeclareMathOperator{\median}{median}
% https://tex.stackexchange.com/questions/154530/resolved-a-conditional-independence-symbol-that-looks-good-with-mid
\newcommand{\ind}{\mathrel{\text{\scalebox{1.07}{$\perp\mkern-10mu\perp$}}}}
% or \newcommand{\ind}{\perp\!\!\!\!\perp}
% now included in the physics package
%\newcommand{\norm}[1]{\left\lVert#1\right\rVert}
\DeclareMathOperator{\Bias}{Bias}
\DeclareMathOperator{\Range}{Range}
% linear algebra
\DeclareMathOperator{\nullity}{nullity}
\DeclareMathOperator{\rowrank}{row rank}
\DeclareMathOperator{\colrank}{column rank}
% now in the physics package
% \DeclareMathOperator{\tr}{Tr}
% \DeclareMathOperator{\Tr}{Tr}
\DeclareMathOperator{\perm}{perm}
\DeclareMathOperator{\GL}{GL}
\DeclareMathOperator{\SL}{SL}
\DeclareMathOperator{\imm}{imm}
\DeclareMathOperator{\poly}{poly}
\DeclareMathOperator{\Lie}{Lie}
\DeclareMathOperator{\Cl}{Cl}
\DeclareMathOperator{\Span}{span}
\DeclareMathOperator{\Int}{int}
\DeclareMathOperator{\adj}{adj}
% abstract algebra
\DeclareMathOperator{\Aut}{Aut}
\DeclareMathOperator{\id}{id}
\DeclareMathOperator{\Id}{Id}
\DeclareMathOperator{\Inn}{Inn}
\DeclareMathOperator{\irr}{irr}
\DeclareMathOperator{\Frac}{Frac}
\DeclareMathOperator{\Frob}{Frob}
% category theory
\DeclareMathOperator{\ob}{ob}
\DeclareMathOperator{\Set}{Set}
\DeclareMathOperator{\Grp}{Grp}
\DeclareMathOperator{\Ring}{Ring}
\DeclareMathOperator{\Top}{Top}
\DeclareMathOperator{\Vect}{Vect}
\DeclareMathOperator{\End}{End}
\DeclareMathOperator{\Hom}{Hom}
\DeclareMathOperator{\im}{im}
% \DeclareMathOperator{\Vec}{Vec}
\DeclareMathOperator{\Rel}{Rel}
\DeclareMathOperator{\Mon}{Mon}
\DeclareMathOperator{\Pre}{Pre}
\DeclareMathOperator{\SRel}{SRel}
\DeclareMathOperator{\Ab}{Ab}
\DeclareMathOperator{\Perm}{Perm}
\DeclareMathOperator{\Nat}{Nat}
\DeclareMathOperator{\Cat}{Cat}
% now in physics package
% \DeclareMathOperator{\op}{op}
\DeclareMathOperator{\FinStoch}{FinStoch}
\DeclareMathOperator{\Stoch}{Stoch}
% number theory
\DeclareMathOperator{\rad}{rad}
\DeclareMathOperator{\Disc}{Disc}
\DeclareMathOperator{\res}{res}
\DeclareMathOperator{\lcm}{lcm}
% differential geometry
\DeclareMathOperator{\Man}{Man}
\DeclareMathOperator{\supp}{supp}
\DeclareMathOperator{\Diff}{Diff}
\DeclareMathOperator{\VB}{VB}
% complexity theory
\DeclareMathOperator{\fspace}{FSPACE}
\DeclareMathOperator{\sspace}{SPACE}
\DeclareMathOperator{\pspace}{PSPACE}
\DeclareMathOperator{\AR}{AR}
\DeclareMathOperator{\MA}{MA}
\DeclareMathOperator{\B}{B}
\DeclareMathOperator{\ARMA}{ARMA}
\DeclareMathOperator{\diag}{diag}
\DeclareMathOperator{\IMA}{IMA}
\DeclareMathOperator{\ARIMA}{ARIMA}
\DeclareMathOperator{\Vol}{Vol}
\DeclareMathOperator{\essup}{essup}
\DeclareMathOperator{\essinf}{essinf}
\DeclareMathOperator{\Bernoulli}{Bernoulli}
\DeclareMathOperator{\Law}{Law}
\DeclareMathOperator{\Normal}{Normal}
\DeclareMathOperator{\Geometric}{Geometric}
\DeclareMathOperator{\Poisson}{Poisson}
\DeclareMathOperator{\Uniform}{Uniform}
\DeclareMathOperator{\Beta}{Beta}
\DeclareMathOperator{\TV}{TV}
\DeclareMathOperator{\io}{i.o.}
\DeclareMathOperator{\ale}{a.e.}
\DeclareMathOperator{\as}{a.s.}
\DeclareMathOperator{\iid}{i.i.d.}
% least fixed point
\DeclareMathOperator{\lfp}{lfp}
\DeclareMathOperator{\sign}{sign}
\DeclareMathOperator{\pval}{p.v.}
\DeclareMathOperator{\sgn}{sgn}
\DeclareMathOperator{\dom}{dom}
\DeclareMathOperator{\Ran}{Ran}
\DeclareMathOperator{\Hol}{Hol}
\DeclareMathOperator{\cl}{cl}
\DeclareMathOperator{\Pol}{Pol}
\DeclareMathOperator{\sinc}{sinc}
\DeclareMathOperator{\E}{\mathbb{E}}
\DeclareMathOperator{\Pr}{\mathbb{P}}
\DeclareMathOperator{\R}{\mathbb{R}}
$
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Fibonacci Dates
Published: Oct 9, 2017 Last updated: Oct 9, 2017
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Last month [today is 9/10/17], I started taking my notes in a format similar to the
paper version of SuperMemo . I didn't know about SuperMemo, but my style was based on
Anki . Regardless, I needed an efficient way to keep track of which dates to recurse learning upon.
I chose the Fibonacci numbers, which yield an aymptotic ratio of:
$$
\phi=\frac{1+\sqrt{5}}{2}\approx{1.618033987....}
$$
SuperMemo recommends a ratio of 1.5 to 2.0, so this is on the lower end of that spectrum. I'll experiment with this a while and update if I
change my technique. For now, it's a nice mathematical relation.
See the dates below to know which days to review. SuperMemo recommends reviewing about 15 minutes per day, so go quickly!