+
The trick is to treat $p$ and $q$ as independent until the last moment:
@@ -76,7 +77,7 @@ $$\begin{aligned}
-
+
We use the same trick to calculate $\overline{n^2}$
(the mean squared number of successes):
@@ -121,7 +122,7 @@ $$\begin{aligned}
-
+
We take the Taylor expansion of $\ln\!\big(P_N(n)\big)$
around the mean $\mu = Np$:
diff --git a/source/know/concept/blasius-boundary-layer/index.md b/source/know/concept/blasius-boundary-layer/index.md
index 86b0e02..fd4af57 100644
--- a/source/know/concept/blasius-boundary-layer/index.md
+++ b/source/know/concept/blasius-boundary-layer/index.md
@@ -1,5 +1,6 @@
---
title: "Blasius boundary layer"
+sort_title: "Blasius boundary layer"
date: 2021-05-29
categories:
- Physics
diff --git a/source/know/concept/bloch-sphere/index.md b/source/know/concept/bloch-sphere/index.md
index d333c50..5d747f7 100644
--- a/source/know/concept/bloch-sphere/index.md
+++ b/source/know/concept/bloch-sphere/index.md
@@ -1,5 +1,6 @@
---
title: "Bloch sphere"
+sort_title: "Bloch sphere"
date: 2021-03-09
categories:
- Quantum mechanics
@@ -13,7 +14,7 @@ the **Bloch sphere** is an invaluable tool to visualize qubits.
All pure qubit states are represented by a point on the sphere's surface:
-
+
The $x$, $y$ and $z$-axes represent the components of a spin-1/2-alike system,
diff --git a/source/know/concept/blochs-theorem/index.md b/source/know/concept/blochs-theorem/index.md
index 496d8d3..e049a71 100644
--- a/source/know/concept/blochs-theorem/index.md
+++ b/source/know/concept/blochs-theorem/index.md
@@ -1,5 +1,6 @@
---
title: "Bloch's theorem"
+sort_title: "Bloch's theorem"
date: 2021-02-22
categories:
- Quantum mechanics
diff --git a/source/know/concept/boltzmann-equation/index.md b/source/know/concept/boltzmann-equation/index.md
index 6193fe6..20399df 100644
--- a/source/know/concept/boltzmann-equation/index.md
+++ b/source/know/concept/boltzmann-equation/index.md
@@ -1,5 +1,6 @@
---
title: "Boltzmann equation"
+sort_title: "Boltzmann equation"
date: 2022-10-02
categories:
- Physics
@@ -147,7 +148,7 @@ $$\begin{aligned}
+
The $x$, $y$ and $z$-axes represent the components of a spin-1/2-alike system,
diff --git a/source/know/concept/blochs-theorem/index.md b/source/know/concept/blochs-theorem/index.md
index 496d8d3..e049a71 100644
--- a/source/know/concept/blochs-theorem/index.md
+++ b/source/know/concept/blochs-theorem/index.md
@@ -1,5 +1,6 @@
---
title: "Bloch's theorem"
+sort_title: "Bloch's theorem"
date: 2021-02-22
categories:
- Quantum mechanics
diff --git a/source/know/concept/boltzmann-equation/index.md b/source/know/concept/boltzmann-equation/index.md
index 6193fe6..20399df 100644
--- a/source/know/concept/boltzmann-equation/index.md
+++ b/source/know/concept/boltzmann-equation/index.md
@@ -1,5 +1,6 @@
---
title: "Boltzmann equation"
+sort_title: "Boltzmann equation"
date: 2022-10-02
categories:
- Physics
@@ -147,7 +148,7 @@ $$\begin{aligned}
-
+
We insert $Q = m$ into our prototype,
and since $m$ is constant, the rest is trivial:
@@ -175,7 +176,7 @@ $$\begin{aligned}
-
+
We insert $Q = m \vb{v}$ into our prototype and recognize $\rho$ wherever possible:
@@ -237,7 +238,7 @@ $$\begin{aligned}
-
+
We insert $Q = m |\vb{v}|^2 / 2$ into our prototype and recognize $\rho$ wherever possible:
diff --git a/source/know/concept/boltzmann-relation/index.md b/source/know/concept/boltzmann-relation/index.md
index 6dd04d2..b7f82b7 100644
--- a/source/know/concept/boltzmann-relation/index.md
+++ b/source/know/concept/boltzmann-relation/index.md
@@ -1,5 +1,6 @@
---
title: "Boltzmann relation"
+sort_title: "Boltzmann relation"
date: 2021-10-18
categories:
- Physics
diff --git a/source/know/concept/bose-einstein-distribution/index.md b/source/know/concept/bose-einstein-distribution/index.md
index 8397a8f..594d6e0 100644
--- a/source/know/concept/bose-einstein-distribution/index.md
+++ b/source/know/concept/bose-einstein-distribution/index.md
@@ -1,5 +1,6 @@
---
title: "Bose-Einstein distribution"
+sort_title: "Bose-Einstein distribution"
date: 2021-07-11
categories:
- Physics
diff --git a/source/know/concept/calculus-of-variations/index.md b/source/know/concept/calculus-of-variations/index.md
index 81d9a5f..0b1d070 100644
--- a/source/know/concept/calculus-of-variations/index.md
+++ b/source/know/concept/calculus-of-variations/index.md
@@ -1,5 +1,6 @@
---
title: "Calculus of variations"
+sort_title: "Calculus of variations"
date: 2021-02-24
categories:
- Mathematics
diff --git a/source/know/concept/canonical-ensemble/index.md b/source/know/concept/canonical-ensemble/index.md
index aca2a33..dd7fe90 100644
--- a/source/know/concept/canonical-ensemble/index.md
+++ b/source/know/concept/canonical-ensemble/index.md
@@ -1,5 +1,6 @@
---
title: "Canonical ensemble"
+sort_title: "Canonical ensemble"
date: 2021-07-10
categories:
- Physics
diff --git a/source/know/concept/capillary-action/index.md b/source/know/concept/capillary-action/index.md
index b388389..1ee3cd4 100644
--- a/source/know/concept/capillary-action/index.md
+++ b/source/know/concept/capillary-action/index.md
@@ -1,5 +1,6 @@
---
title: "Capillary action"
+sort_title: "Capillary action"
date: 2021-03-29
categories:
- Physics
diff --git a/source/know/concept/cauchy-principal-value/index.md b/source/know/concept/cauchy-principal-value/index.md
index fec0826..a2582f2 100644
--- a/source/know/concept/cauchy-principal-value/index.md
+++ b/source/know/concept/cauchy-principal-value/index.md
@@ -1,5 +1,6 @@
---
title: "Cauchy principal value"
+sort_title: "Cauchy principal value"
date: 2021-11-01
categories:
- Mathematics
diff --git a/source/know/concept/cauchy-strain-tensor/index.md b/source/know/concept/cauchy-strain-tensor/index.md
index b5840e7..a628820 100644
--- a/source/know/concept/cauchy-strain-tensor/index.md
+++ b/source/know/concept/cauchy-strain-tensor/index.md
@@ -1,5 +1,6 @@
---
title: "Cauchy strain tensor"
+sort_title: "Cauchy strain tensor"
date: 2021-03-31
categories:
- Physics
diff --git a/source/know/concept/cauchy-stress-tensor/index.md b/source/know/concept/cauchy-stress-tensor/index.md
index c56d997..1d9ad0d 100644
--- a/source/know/concept/cauchy-stress-tensor/index.md
+++ b/source/know/concept/cauchy-stress-tensor/index.md
@@ -1,5 +1,6 @@
---
title: "Cauchy stress tensor"
+sort_title: "Cauchy stress tensor"
date: 2021-03-31
categories:
- Physics
diff --git a/source/know/concept/cavitation/index.md b/source/know/concept/cavitation/index.md
index 95822ae..346edc4 100644
--- a/source/know/concept/cavitation/index.md
+++ b/source/know/concept/cavitation/index.md
@@ -1,5 +1,6 @@
---
title: "Cavitation"
+sort_title: "Cavitation"
date: 2021-04-09
categories:
- Physics
diff --git a/source/know/concept/central-limit-theorem/index.md b/source/know/concept/central-limit-theorem/index.md
index 126ff3b..0c08a6f 100644
--- a/source/know/concept/central-limit-theorem/index.md
+++ b/source/know/concept/central-limit-theorem/index.md
@@ -1,5 +1,6 @@
---
title: "Central limit theorem"
+sort_title: "Central limit theorem"
date: 2021-03-09
categories:
- Statistics
diff --git a/source/know/concept/conditional-expectation/index.md b/source/know/concept/conditional-expectation/index.md
index c545cef..7b13a4a 100644
--- a/source/know/concept/conditional-expectation/index.md
+++ b/source/know/concept/conditional-expectation/index.md
@@ -1,5 +1,6 @@
---
title: "Conditional expectation"
+sort_title: "Conditional expectation"
date: 2021-10-23
categories:
- Mathematics
diff --git a/source/know/concept/convolution-theorem/index.md b/source/know/concept/convolution-theorem/index.md
index d6c578b..d4655cf 100644
--- a/source/know/concept/convolution-theorem/index.md
+++ b/source/know/concept/convolution-theorem/index.md
@@ -1,5 +1,6 @@
---
title: "Convolution theorem"
+sort_title: "Convolution theorem"
date: 2021-02-22
categories:
- Mathematics
@@ -29,7 +30,7 @@ $$\begin{aligned}
-
+
We expand the right-hand side of the theorem and
rearrange the integrals:
@@ -81,7 +82,7 @@ $$\begin{aligned}
-
+
We expand the left-hand side.
Note that the lower integration limit is 0 instead of $-\infty$,
diff --git a/source/know/concept/coulomb-logarithm/index.md b/source/know/concept/coulomb-logarithm/index.md
index 3bed159..d036aa6 100644
--- a/source/know/concept/coulomb-logarithm/index.md
+++ b/source/know/concept/coulomb-logarithm/index.md
@@ -1,5 +1,6 @@
---
title: "Coulomb logarithm"
+sort_title: "Coulomb logarithm"
date: 2021-10-03
categories:
- Physics
diff --git a/source/know/concept/coupled-mode-theory/index.md b/source/know/concept/coupled-mode-theory/index.md
index acb4710..ecae1bb 100644
--- a/source/know/concept/coupled-mode-theory/index.md
+++ b/source/know/concept/coupled-mode-theory/index.md
@@ -1,5 +1,6 @@
---
title: "Coupled mode theory"
+sort_title: "Coupled mode theory"
date: 2022-03-31
categories:
- Physics
diff --git a/source/know/concept/curvature/index.md b/source/know/concept/curvature/index.md
index 40bd106..bf8ae25 100644
--- a/source/know/concept/curvature/index.md
+++ b/source/know/concept/curvature/index.md
@@ -1,5 +1,6 @@
---
title: "Curvature"
+sort_title: "Curvature"
date: 2021-03-07
categories:
- Mathematics
diff --git a/source/know/concept/curvilinear-coordinates/index.md b/source/know/concept/curvilinear-coordinates/index.md
index 9cae643..3012ca6 100644
--- a/source/know/concept/curvilinear-coordinates/index.md
+++ b/source/know/concept/curvilinear-coordinates/index.md
@@ -1,5 +1,6 @@
---
title: "Curvilinear coordinates"
+sort_title: "Curvilinear coordinates"
date: 2021-03-03
categories:
- Mathematics
@@ -104,7 +105,7 @@ $$\begin{gathered}
-
+
For a direction $\dd{\ell}$, we know that
$\idv{f}{\ell}$ is the component of $\nabla f$ in that direction:
@@ -146,7 +147,7 @@ $$\begin{aligned}
-
+
As preparation, we rewrite $\vb{V}$ as follows
to introduce the scale factors:
@@ -265,7 +266,7 @@ $$\begin{aligned}
-
+
The curl is found in a similar way as the divergence.
We rewrite $\vb{V}$ like so:
diff --git a/source/know/concept/cylindrical-parabolic-coordinates/index.md b/source/know/concept/cylindrical-parabolic-coordinates/index.md
index f9d0475..76ff756 100644
--- a/source/know/concept/cylindrical-parabolic-coordinates/index.md
+++ b/source/know/concept/cylindrical-parabolic-coordinates/index.md
@@ -1,5 +1,6 @@
---
title: "Cylindrical parabolic coordinates"
+sort_title: "Cylindrical parabolic coordinates"
date: 2021-03-04
categories:
- Mathematics
diff --git a/source/know/concept/cylindrical-polar-coordinates/index.md b/source/know/concept/cylindrical-polar-coordinates/index.md
index a91e53e..8673c0b 100644
--- a/source/know/concept/cylindrical-polar-coordinates/index.md
+++ b/source/know/concept/cylindrical-polar-coordinates/index.md
@@ -1,5 +1,6 @@
---
title: "Cylindrical polar coordinates"
+sort_title: "Cylindrical polar coordinates"
date: 2021-07-26
categories:
- Mathematics
diff --git a/source/know/concept/debye-length/index.md b/source/know/concept/debye-length/index.md
index 9b87585..a42d137 100644
--- a/source/know/concept/debye-length/index.md
+++ b/source/know/concept/debye-length/index.md
@@ -1,5 +1,6 @@
---
title: "Debye length"
+sort_title: "Debye length"
date: 2021-10-18
categories:
- Physics
diff --git a/source/know/concept/density-of-states/index.md b/source/know/concept/density-of-states/index.md
index 5b18537..60b81d5 100644
--- a/source/know/concept/density-of-states/index.md
+++ b/source/know/concept/density-of-states/index.md
@@ -1,5 +1,6 @@
---
title: "Density of states"
+sort_title: "Density of states"
date: 2021-05-08
categories:
- Physics
diff --git a/source/know/concept/density-operator/index.md b/source/know/concept/density-operator/index.md
index ece712c..d2042ef 100644
--- a/source/know/concept/density-operator/index.md
+++ b/source/know/concept/density-operator/index.md
@@ -1,5 +1,6 @@
---
title: "Density operator"
+sort_title: "Density operator"
date: 2021-03-03
categories:
- Physics
diff --git a/source/know/concept/detailed-balance/index.md b/source/know/concept/detailed-balance/index.md
index b7d5386..9745959 100644
--- a/source/know/concept/detailed-balance/index.md
+++ b/source/know/concept/detailed-balance/index.md
@@ -1,5 +1,6 @@
---
title: "Detailed balance"
+sort_title: "Detailed balance"
date: 2021-11-27
categories:
- Physics
diff --git a/source/know/concept/deutsch-jozsa-algorithm/index.md b/source/know/concept/deutsch-jozsa-algorithm/index.md
index 080b290..c2bd1e6 100644
--- a/source/know/concept/deutsch-jozsa-algorithm/index.md
+++ b/source/know/concept/deutsch-jozsa-algorithm/index.md
@@ -1,5 +1,6 @@
---
title: "Deutsch-Jozsa algorithm"
+sort_title: "Deutsch-Jozsa algorithm"
date: 2021-04-08
categories:
- Quantum information
diff --git a/source/know/concept/dielectric-function/index.md b/source/know/concept/dielectric-function/index.md
index 7bee0cf..30622f4 100644
--- a/source/know/concept/dielectric-function/index.md
+++ b/source/know/concept/dielectric-function/index.md
@@ -1,5 +1,6 @@
---
title: "Dielectric function"
+sort_title: "Dielectric function"
date: 2022-01-24
categories:
- Physics
diff --git a/source/know/concept/diffie-hellman-key-exchange/index.md b/source/know/concept/diffie-hellman-key-exchange/index.md
index 0947e29..951d5f5 100644
--- a/source/know/concept/diffie-hellman-key-exchange/index.md
+++ b/source/know/concept/diffie-hellman-key-exchange/index.md
@@ -1,5 +1,6 @@
---
title: "Diffie-Hellman key exchange"
+sort_title: "Diffie-Hellman key exchange"
date: 2021-03-06
categories:
- Cryptography
diff --git a/source/know/concept/dirac-delta-function/index.md b/source/know/concept/dirac-delta-function/index.md
index 63edd81..88a08cb 100644
--- a/source/know/concept/dirac-delta-function/index.md
+++ b/source/know/concept/dirac-delta-function/index.md
@@ -1,5 +1,6 @@
---
title: "Dirac delta function"
+sort_title: "Dirac delta function"
date: 2021-02-22
categories:
- Mathematics
@@ -67,7 +68,7 @@ $$\begin{aligned}
-
+
Because it is symmetric, $\delta(s x) = \delta(|s| x)$.
Then by substituting $\sigma = |s| x$:
@@ -90,7 +91,7 @@ $$\begin{aligned}
-
+
Note which variable is used for the
differentiation, and that $\delta'(x - \xi) = - \delta'(\xi - x)$:
diff --git a/source/know/concept/dirac-notation/index.md b/source/know/concept/dirac-notation/index.md
index 414b903..8861505 100644
--- a/source/know/concept/dirac-notation/index.md
+++ b/source/know/concept/dirac-notation/index.md
@@ -1,5 +1,6 @@
---
title: "Dirac notation"
+sort_title: "Dirac notation"
date: 2021-02-22
categories:
- Quantum mechanics
diff --git a/source/know/concept/dispersive-broadening/index.md b/source/know/concept/dispersive-broadening/index.md
index 64c251a..816135a 100644
--- a/source/know/concept/dispersive-broadening/index.md
+++ b/source/know/concept/dispersive-broadening/index.md
@@ -1,5 +1,6 @@
---
title: "Dispersive broadening"
+sort_title: "Dispersive broadening"
date: 2021-02-27
categories:
- Physics
diff --git a/source/know/concept/drude-model/index.md b/source/know/concept/drude-model/index.md
index 7f62ae5..28e6dc2 100644
--- a/source/know/concept/drude-model/index.md
+++ b/source/know/concept/drude-model/index.md
@@ -1,5 +1,6 @@
---
title: "Drude model"
+sort_title: "Drude model"
date: 2021-09-23
categories:
- Physics
diff --git a/source/know/concept/dynkins-formula/index.md b/source/know/concept/dynkins-formula/index.md
index be7fa17..53da86f 100644
--- a/source/know/concept/dynkins-formula/index.md
+++ b/source/know/concept/dynkins-formula/index.md
@@ -1,5 +1,6 @@
---
title: "Dynkin's formula"
+sort_title: "Dynkin's formula"
date: 2021-11-28
categories:
- Mathematics
diff --git a/source/know/concept/dyson-equation/index.md b/source/know/concept/dyson-equation/index.md
index 82020ad..962b64a 100644
--- a/source/know/concept/dyson-equation/index.md
+++ b/source/know/concept/dyson-equation/index.md
@@ -1,5 +1,6 @@
---
title: "Dyson equation"
+sort_title: "Dyson equation"
date: 2021-11-01
categories:
- Physics
diff --git a/source/know/concept/ehrenfests-theorem/index.md b/source/know/concept/ehrenfests-theorem/index.md
index a2a676a..4d96989 100644
--- a/source/know/concept/ehrenfests-theorem/index.md
+++ b/source/know/concept/ehrenfests-theorem/index.md
@@ -1,5 +1,6 @@
---
title: "Ehrenfest's theorem"
+sort_title: "Ehrenfest's theorem"
date: 2021-02-24
categories:
- Quantum mechanics
diff --git a/source/know/concept/einstein-coefficients/index.md b/source/know/concept/einstein-coefficients/index.md
index ff44888..27d6013 100644
--- a/source/know/concept/einstein-coefficients/index.md
+++ b/source/know/concept/einstein-coefficients/index.md
@@ -1,5 +1,6 @@
---
title: "Einstein coefficients"
+sort_title: "Einstein coefficients"
date: 2021-07-11
categories:
- Physics
diff --git a/source/know/concept/elastic-collision/index.md b/source/know/concept/elastic-collision/index.md
index f3c4b7b..11c3115 100644
--- a/source/know/concept/elastic-collision/index.md
+++ b/source/know/concept/elastic-collision/index.md
@@ -1,5 +1,6 @@
---
title: "Elastic collision"
+sort_title: "Elastic collision"
date: 2021-10-04
categories:
- Physics
diff --git a/source/know/concept/electric-dipole-approximation/index.md b/source/know/concept/electric-dipole-approximation/index.md
index c3e6dc0..66501e2 100644
--- a/source/know/concept/electric-dipole-approximation/index.md
+++ b/source/know/concept/electric-dipole-approximation/index.md
@@ -1,5 +1,6 @@
---
title: "Electric dipole approximation"
+sort_title: "Electric dipole approximation"
date: 2021-09-14
categories:
- Physics
diff --git a/source/know/concept/electric-field/index.md b/source/know/concept/electric-field/index.md
index eef8bd5..38c1ff6 100644
--- a/source/know/concept/electric-field/index.md
+++ b/source/know/concept/electric-field/index.md
@@ -1,5 +1,6 @@
---
title: "Electric field"
+sort_title: "Electric field"
date: 2021-07-12
categories:
- Physics
diff --git a/source/know/concept/electromagnetic-wave-equation/index.md b/source/know/concept/electromagnetic-wave-equation/index.md
index e6f6677..c4cd9eb 100644
--- a/source/know/concept/electromagnetic-wave-equation/index.md
+++ b/source/know/concept/electromagnetic-wave-equation/index.md
@@ -1,5 +1,6 @@
---
title: "Electromagnetic wave equation"
+sort_title: "Electromagnetic wave equation"
date: 2021-09-09
categories:
- Physics
diff --git a/source/know/concept/equation-of-motion-theory/index.md b/source/know/concept/equation-of-motion-theory/index.md
index 81d4d46..f62fb56 100644
--- a/source/know/concept/equation-of-motion-theory/index.md
+++ b/source/know/concept/equation-of-motion-theory/index.md
@@ -1,5 +1,6 @@
---
title: "Equation-of-motion theory"
+sort_title: "Equation-of-motion theory"
date: 2021-11-08
categories:
- Physics
@@ -65,7 +66,7 @@ $$\begin{aligned}
-
+
Using the commutator identity for $\comm{A B}{C}$,
we decompose it like so:
diff --git a/source/know/concept/euler-bernoulli-law/index.md b/source/know/concept/euler-bernoulli-law/index.md
index 37212d2..c9dc7af 100644
--- a/source/know/concept/euler-bernoulli-law/index.md
+++ b/source/know/concept/euler-bernoulli-law/index.md
@@ -1,5 +1,6 @@
---
title: "Euler-Bernoulli law"
+sort_title: "Euler-Bernoulli law"
date: 2021-06-03
categories:
- Physics
@@ -83,7 +84,7 @@ $$\begin{aligned}
-
+
By integrating the above strains $u_{ii} = \ipdv{u_i}{i}$,
we get the components of $\va{u}$:
diff --git a/source/know/concept/euler-equations/index.md b/source/know/concept/euler-equations/index.md
index f89d577..ddaa27a 100644
--- a/source/know/concept/euler-equations/index.md
+++ b/source/know/concept/euler-equations/index.md
@@ -1,5 +1,6 @@
---
title: "Euler equations"
+sort_title: "Euler equations"
date: 2021-03-31
categories:
- Physics
diff --git a/source/know/concept/fabry-perot-cavity/index.md b/source/know/concept/fabry-perot-cavity/index.md
index e2852d4..3f47c3e 100644
--- a/source/know/concept/fabry-perot-cavity/index.md
+++ b/source/know/concept/fabry-perot-cavity/index.md
@@ -1,5 +1,6 @@
---
title: "Fabry-Pérot cavity"
+sort_title: "Fabry-Perot cavity" # sic
date: 2021-09-18
categories:
- Physics
diff --git a/source/know/concept/fermi-dirac-distribution/index.md b/source/know/concept/fermi-dirac-distribution/index.md
index 7fc4f0e..ea1f8b8 100644
--- a/source/know/concept/fermi-dirac-distribution/index.md
+++ b/source/know/concept/fermi-dirac-distribution/index.md
@@ -1,5 +1,6 @@
---
title: "Fermi-Dirac distribution"
+sort_title: "Fermi-Dirac distribution"
date: 2021-07-11
categories:
- Physics
diff --git a/source/know/concept/fermis-golden-rule/index.md b/source/know/concept/fermis-golden-rule/index.md
index f64e9df..18fcfd8 100644
--- a/source/know/concept/fermis-golden-rule/index.md
+++ b/source/know/concept/fermis-golden-rule/index.md
@@ -1,5 +1,6 @@
---
title: "Fermi's golden rule"
+sort_title: "Fermi's golden rule"
date: 2021-07-10
categories:
- Physics
diff --git a/source/know/concept/feynman-diagram/index.md b/source/know/concept/feynman-diagram/index.md
index 15410f7..d117562 100644
--- a/source/know/concept/feynman-diagram/index.md
+++ b/source/know/concept/feynman-diagram/index.md
@@ -1,5 +1,6 @@
---
title: "Feynman diagram"
+sort_title: "Feynman diagram"
date: 2021-11-18
categories:
- Physics
diff --git a/source/know/concept/ficks-laws/index.md b/source/know/concept/ficks-laws/index.md
index 234b180..f978ef5 100644
--- a/source/know/concept/ficks-laws/index.md
+++ b/source/know/concept/ficks-laws/index.md
@@ -1,5 +1,6 @@
---
title: "Fick's laws"
+sort_title: "Fick's laws"
date: 2021-09-05
categories:
- Physics
diff --git a/source/know/concept/fourier-transform/index.md b/source/know/concept/fourier-transform/index.md
index 32edb47..f8b5b2a 100644
--- a/source/know/concept/fourier-transform/index.md
+++ b/source/know/concept/fourier-transform/index.md
@@ -1,5 +1,6 @@
---
title: "Fourier transform"
+sort_title: "Fourier transform"
date: 2021-02-22
categories:
- Mathematics
@@ -152,7 +153,7 @@ $$\begin{aligned}
-
+
The inverse FT of the forward FT of $f(\vb{x})$ must be equal to $f(\vb{x})$ again, so:
@@ -198,7 +199,7 @@ $$\begin{aligned}
-
+
We insert $\nabla^2 f$ into the FT,
decompose the exponential and the Laplacian,
diff --git a/source/know/concept/fredholm-alternative/index.md b/source/know/concept/fredholm-alternative/index.md
index c813fb4..5d53e79 100644
--- a/source/know/concept/fredholm-alternative/index.md
+++ b/source/know/concept/fredholm-alternative/index.md
@@ -1,5 +1,6 @@
---
title: "Fredholm alternative"
+sort_title: "Fredholm alternative"
date: 2021-05-29
categories:
- Mathematics
diff --git a/source/know/concept/fundamental-solution/index.md b/source/know/concept/fundamental-solution/index.md
index f5a51d5..e8ffda6 100644
--- a/source/know/concept/fundamental-solution/index.md
+++ b/source/know/concept/fundamental-solution/index.md
@@ -1,5 +1,6 @@
---
title: "Fundamental solution"
+sort_title: "Fundamental solution"
date: 2021-11-02
categories:
- Mathematics
@@ -44,7 +45,7 @@ $$\begin{aligned}
-
+
$\hat{L}$ only acts on $x$, so $x' \in ]a, b[$ is simply a parameter,
meaning we are free to multiply the definition of $G$
@@ -119,7 +120,7 @@ $$\begin{aligned}
-
+
Consider two parameters $x_1'$ and $x_2'$.
The self-adjointness of $\hat{L}$ means that:
diff --git a/source/know/concept/fundamental-thermodynamic-relation/index.md b/source/know/concept/fundamental-thermodynamic-relation/index.md
index a251fcd..392e0b3 100644
--- a/source/know/concept/fundamental-thermodynamic-relation/index.md
+++ b/source/know/concept/fundamental-thermodynamic-relation/index.md
@@ -1,5 +1,6 @@
---
title: "Fundamental thermodynamic relation"
+sort_title: "Fundamental thermodynamic relation"
date: 2021-07-07
categories:
- Physics
diff --git a/source/know/concept/ghz-paradox/index.md b/source/know/concept/ghz-paradox/index.md
index 5cd2d19..e1129d4 100644
--- a/source/know/concept/ghz-paradox/index.md
+++ b/source/know/concept/ghz-paradox/index.md
@@ -1,5 +1,6 @@
---
title: "GHZ paradox"
+sort_title: "GHZ paradox"
date: 2021-03-29
categories:
- Physics
diff --git a/source/know/concept/grad-shafranov-equation/index.md b/source/know/concept/grad-shafranov-equation/index.md
index 8bef8af..35d23f4 100644
--- a/source/know/concept/grad-shafranov-equation/index.md
+++ b/source/know/concept/grad-shafranov-equation/index.md
@@ -1,5 +1,6 @@
---
title: "Grad-Shafranov equation"
+sort_title: "Grad-Shafranov equation"
date: 2022-03-06
categories:
- Physics
diff --git a/source/know/concept/gram-schmidt-method/index.md b/source/know/concept/gram-schmidt-method/index.md
index 483dd71..374b169 100644
--- a/source/know/concept/gram-schmidt-method/index.md
+++ b/source/know/concept/gram-schmidt-method/index.md
@@ -1,5 +1,6 @@
---
title: "Gram-Schmidt method"
+sort_title: "Gram-Schmidt method"
date: 2021-02-22
categories:
- Mathematics
diff --git a/source/know/concept/grand-canonical-ensemble/index.md b/source/know/concept/grand-canonical-ensemble/index.md
index 85bf90a..4f66fd9 100644
--- a/source/know/concept/grand-canonical-ensemble/index.md
+++ b/source/know/concept/grand-canonical-ensemble/index.md
@@ -1,5 +1,6 @@
---
title: "Grand canonical ensemble"
+sort_title: "Grand canonical ensemble"
date: 2021-07-11
categories:
- Physics
diff --git a/source/know/concept/greens-functions/index.md b/source/know/concept/greens-functions/index.md
index 48f1e76..0e53945 100644
--- a/source/know/concept/greens-functions/index.md
+++ b/source/know/concept/greens-functions/index.md
@@ -1,5 +1,6 @@
---
title: "Green's functions"
+sort_title: "Green's functions"
date: 2021-11-03
categories:
- Physics
diff --git a/source/know/concept/gronwall-bellman-inequality/index.md b/source/know/concept/gronwall-bellman-inequality/index.md
index 5fd9f38..417b033 100644
--- a/source/know/concept/gronwall-bellman-inequality/index.md
+++ b/source/know/concept/gronwall-bellman-inequality/index.md
@@ -1,5 +1,6 @@
---
title: "Grönwall-Bellman inequality"
+sort_title: "Gronwall-Bellman inequality" # sic
date: 2021-11-07
categories:
- Mathematics
@@ -28,7 +29,7 @@ $$\begin{aligned}
-
+
We define $w(t)$ to equal the upper bounds above
on both $w'(t)$ and $w(t)$ itself:
@@ -86,7 +87,7 @@ $$\begin{aligned}
-
+
We start by defining $w(t)$ as follows,
which will act as shorthand:
@@ -153,7 +154,7 @@ $$\begin{aligned}
-
+
Starting from the "ordinary" Grönwall-Bellman inequality,
the fact that $\alpha(t)$ is non-decreasing tells us that
diff --git a/source/know/concept/guiding-center-theory/index.md b/source/know/concept/guiding-center-theory/index.md
index d429a50..6de54fa 100644
--- a/source/know/concept/guiding-center-theory/index.md
+++ b/source/know/concept/guiding-center-theory/index.md
@@ -1,5 +1,6 @@
---
title: "Guiding center theory"
+sort_title: "Guiding center theory"
date: 2021-09-21
categories:
- Physics
@@ -333,7 +334,7 @@ $$\begin{aligned}
-
+
Assuming that $\vu{b}$ does not explicitly depend on time,
i.e. $\ipdv{\vu{b}}{t} = 0$,
diff --git a/source/know/concept/hagen-poiseuille-equation/index.md b/source/know/concept/hagen-poiseuille-equation/index.md
index fc2975a..d59ee9a 100644
--- a/source/know/concept/hagen-poiseuille-equation/index.md
+++ b/source/know/concept/hagen-poiseuille-equation/index.md
@@ -1,5 +1,6 @@
---
title: "Hagen-Poiseuille equation"
+sort_title: "Hagen-Poiseuille equation"
date: 2021-04-13
categories:
- Physics
diff --git a/source/know/concept/hamiltonian-mechanics/index.md b/source/know/concept/hamiltonian-mechanics/index.md
index 610f8bd..466a78f 100644
--- a/source/know/concept/hamiltonian-mechanics/index.md
+++ b/source/know/concept/hamiltonian-mechanics/index.md
@@ -1,5 +1,6 @@
---
title: "Hamiltonian mechanics"
+sort_title: "Hamiltonian mechanics"
date: 2021-07-03
categories:
- Physics
@@ -107,7 +108,7 @@ $$\begin{aligned}
-
+
For the first equation,
we differentiate $H$ with respect to $q_n$,
@@ -176,7 +177,7 @@ $$\begin{aligned}
-
+
We differentiate via the multivariate chain rule,
insert the canonical equations,
diff --git a/source/know/concept/harmonic-oscillator/index.md b/source/know/concept/harmonic-oscillator/index.md
index f17203b..6729dc2 100644
--- a/source/know/concept/harmonic-oscillator/index.md
+++ b/source/know/concept/harmonic-oscillator/index.md
@@ -1,5 +1,6 @@
---
title: "Harmonic oscillator"
+sort_title: "Harmonic oscillator"
date: 2021-06-02
categories:
- Physics
diff --git a/source/know/concept/heaviside-step-function/index.md b/source/know/concept/heaviside-step-function/index.md
index 30b5f5d..1933037 100644
--- a/source/know/concept/heaviside-step-function/index.md
+++ b/source/know/concept/heaviside-step-function/index.md
@@ -1,5 +1,6 @@
---
title: "Heaviside step function"
+sort_title: "Heaviside step function"
date: 2021-02-25
categories:
- Mathematics
@@ -59,7 +60,7 @@ $$\begin{aligned}
-
+
In this case, it is easiest to use $\Theta(0) = 1/2$,
such that the Heaviside step function can be expressed
diff --git a/source/know/concept/heisenberg-picture/index.md b/source/know/concept/heisenberg-picture/index.md
index b6c49d7..59ed2da 100644
--- a/source/know/concept/heisenberg-picture/index.md
+++ b/source/know/concept/heisenberg-picture/index.md
@@ -1,5 +1,6 @@
---
title: "Heisenberg picture"
+sort_title: "Heisenberg picture"
date: 2021-02-24
categories:
- Quantum mechanics
diff --git a/source/know/concept/hellmann-feynman-theorem/index.md b/source/know/concept/hellmann-feynman-theorem/index.md
index 6b458db..9ffff34 100644
--- a/source/know/concept/hellmann-feynman-theorem/index.md
+++ b/source/know/concept/hellmann-feynman-theorem/index.md
@@ -1,5 +1,6 @@
---
title: "Hellmann-Feynman theorem"
+sort_title: "Hellmann-Feynman theorem"
date: 2021-11-29
categories:
- Physics
diff --git a/source/know/concept/hermite-polynomials/index.md b/source/know/concept/hermite-polynomials/index.md
index 17e61df..ce34030 100644
--- a/source/know/concept/hermite-polynomials/index.md
+++ b/source/know/concept/hermite-polynomials/index.md
@@ -1,5 +1,6 @@
---
title: "Hermite polynomials"
+sort_title: "Hermite polynomials"
date: 2021-09-08
categories:
- Mathematics
diff --git a/source/know/concept/hilbert-space/index.md b/source/know/concept/hilbert-space/index.md
index d2b9770..ef55d2b 100644
--- a/source/know/concept/hilbert-space/index.md
+++ b/source/know/concept/hilbert-space/index.md
@@ -1,5 +1,6 @@
---
title: "Hilbert space"
+sort_title: "Hilbert space"
date: 2021-02-22
categories:
- Mathematics
diff --git a/source/know/concept/holomorphic-function/index.md b/source/know/concept/holomorphic-function/index.md
index 17bd5a6..e22799c 100644
--- a/source/know/concept/holomorphic-function/index.md
+++ b/source/know/concept/holomorphic-function/index.md
@@ -1,5 +1,6 @@
---
title: "Holomorphic function"
+sort_title: "Holomorphic function"
date: 2021-02-25
categories:
- Mathematics
@@ -75,7 +76,7 @@ $$\begin{aligned}
-
+
Just like before, we decompose $f(z)$ into its real and imaginary parts:
@@ -112,7 +113,7 @@ $$\begin{aligned}
-
+
Thanks to the integral theorem, we know that the shape and size
of $C$ is irrelevant. Therefore we choose it to be a circle with radius $r$,
@@ -150,7 +151,7 @@ $$\begin{aligned}
-
+
By definition, the first derivative $f'(z)$ of a
holomorphic function exists and is:
diff --git a/source/know/concept/hookes-law/index.md b/source/know/concept/hookes-law/index.md
index 57ab27f..87e04de 100644
--- a/source/know/concept/hookes-law/index.md
+++ b/source/know/concept/hookes-law/index.md
@@ -1,5 +1,6 @@
---
title: "Hooke's law"
+sort_title: "Hooke's law"
date: 2021-04-02
categories:
- Physics
diff --git a/source/know/concept/hydrostatic-pressure/index.md b/source/know/concept/hydrostatic-pressure/index.md
index 4add09e..2e55246 100644
--- a/source/know/concept/hydrostatic-pressure/index.md
+++ b/source/know/concept/hydrostatic-pressure/index.md
@@ -1,5 +1,6 @@
---
title: "Hydrostatic pressure"
+sort_title: "Hydrostatic pressure"
date: 2021-03-12
categories:
- Physics
diff --git a/source/know/concept/imaginary-time/index.md b/source/know/concept/imaginary-time/index.md
index 5dc9264..1dbdf11 100644
--- a/source/know/concept/imaginary-time/index.md
+++ b/source/know/concept/imaginary-time/index.md
@@ -1,5 +1,6 @@
---
title: "Imaginary time"
+sort_title: "Imaginary time"
date: 2021-11-11
categories:
- Physics
diff --git a/source/know/concept/impulse-response/index.md b/source/know/concept/impulse-response/index.md
index 65849aa..533580d 100644
--- a/source/know/concept/impulse-response/index.md
+++ b/source/know/concept/impulse-response/index.md
@@ -1,5 +1,6 @@
---
title: "Impulse response"
+sort_title: "Impulse response"
date: 2021-03-09
categories:
- Mathematics
@@ -32,7 +33,7 @@ $$\begin{aligned}
-
+
Starting from the definition of $u_p(t)$,
we shift the argument by some constant $\tau$,
diff --git a/source/know/concept/index.md b/source/know/concept/index.md
index 69b8ca9..68b5f8c 100644
--- a/source/know/concept/index.md
+++ b/source/know/concept/index.md
@@ -6,28 +6,11 @@ layout: "default"
# List of concepts
-{% assign by_letter = site.pages
+This is an alphabetical list of the concepts in this knowledge base.
+
+{% assign pages_by_letter = site.pages
| where_exp: "item", "item.layout == 'concept'"
- | group_by_exp: "item", "item.title | truncate: 1, ''"
+ | group_by_exp: "item", "item.sort_title | truncate: 1, ''"
| sort: "name"
%}
-
-This is an alphabetical list of the concepts in this knowledge base.
-
-
-‐
-{% for letter in by_letter %}
-{{ letter.name }}
-‐
-{% endfor %}
-
-
-{% for letter in by_letter %}
-{{ letter.name }}
--
- {% assign items = letter.items | sort: "title" %}
- {% for item in items %}
-
- {{ item.title }} - {% endfor %} -
-
+
We start by applying the classical chain rule,
but we go to second order in $x$.
diff --git a/source/know/concept/jellium/index.md b/source/know/concept/jellium/index.md
index 6e395b4..c951fd7 100644
--- a/source/know/concept/jellium/index.md
+++ b/source/know/concept/jellium/index.md
@@ -1,5 +1,6 @@
---
title: "Jellium"
+sort_title: "Jellium"
date: 2021-11-23
categories:
- Physics
diff --git a/source/know/concept/kolmogorov-equations/index.md b/source/know/concept/kolmogorov-equations/index.md
index a6579b2..47820ee 100644
--- a/source/know/concept/kolmogorov-equations/index.md
+++ b/source/know/concept/kolmogorov-equations/index.md
@@ -1,5 +1,6 @@
---
title: "Kolmogorov equations"
+sort_title: "Kolmogorov equations"
date: 2021-11-14
categories:
- Mathematics
diff --git a/source/know/concept/kramers-kronig-relations/index.md b/source/know/concept/kramers-kronig-relations/index.md
index f66ab0a..bb9b08c 100644
--- a/source/know/concept/kramers-kronig-relations/index.md
+++ b/source/know/concept/kramers-kronig-relations/index.md
@@ -1,5 +1,6 @@
---
title: "Kramers-Kronig relations"
+sort_title: "Kramers-Kronig relations"
date: 2021-02-25
categories:
- Mathematics
diff --git a/source/know/concept/kubo-formula/index.md b/source/know/concept/kubo-formula/index.md
index 40d90e1..80309c5 100644
--- a/source/know/concept/kubo-formula/index.md
+++ b/source/know/concept/kubo-formula/index.md
@@ -1,5 +1,6 @@
---
title: "Kubo formula"
+sort_title: "Kubo formula"
date: 2021-09-23
categories:
- Physics
diff --git a/source/know/concept/lagrange-multiplier/index.md b/source/know/concept/lagrange-multiplier/index.md
index 4c01aed..9761e75 100644
--- a/source/know/concept/lagrange-multiplier/index.md
+++ b/source/know/concept/lagrange-multiplier/index.md
@@ -1,5 +1,6 @@
---
title: "Lagrange multiplier"
+sort_title: "Lagrange multiplier"
date: 2021-03-02
categories:
- Mathematics
diff --git a/source/know/concept/lagrangian-mechanics/index.md b/source/know/concept/lagrangian-mechanics/index.md
index fd26121..7b520a2 100644
--- a/source/know/concept/lagrangian-mechanics/index.md
+++ b/source/know/concept/lagrangian-mechanics/index.md
@@ -1,5 +1,6 @@
---
title: "Lagrangian mechanics"
+sort_title: "Lagrangian mechanics"
date: 2021-07-01
categories:
- Physics
diff --git a/source/know/concept/laguerre-polynomials/index.md b/source/know/concept/laguerre-polynomials/index.md
index 130dff2..fd3deb6 100644
--- a/source/know/concept/laguerre-polynomials/index.md
+++ b/source/know/concept/laguerre-polynomials/index.md
@@ -1,5 +1,6 @@
---
title: "Laguerre polynomials"
+sort_title: "Laguerre polynomials"
date: 2021-09-08
categories:
- Mathematics
diff --git a/source/know/concept/landau-quantization/index.md b/source/know/concept/landau-quantization/index.md
index e28b396..82ea86e 100644
--- a/source/know/concep