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docs: replace * by dot
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@lpatiny
lpatiny committed Sep 30, 2019
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Expand Up @@ -112,31 +112,31 @@ Returns the [Tanimoto distance](http://www.naun.org/main/NAUN/ijmmas/mmmas-49.pd

Returns the [Inner Product similarity](http://www.naun.org/main/NAUN/ijmmas/mmmas-49.pdf) between vectors p and q

<img src="https://tex.cheminfo.org/?tex=s(p,q)=\sum\limits_{i=1}^{n}{p_i*q_i}">
<img src="https://tex.cheminfo.org/?tex=s(p,q)=\sum\limits_{i=1}^{n}{p_i\cdot{q_i}}">

- `harmonicMean(p, q)`

Returns the [Harmonic mean similarity](http://www.naun.org/main/NAUN/ijmmas/mmmas-49.pdf) between vectors p and q

<img src="https://tex.cheminfo.org/?tex=d(p,q)=2\sum\limits_{i=1}^{n}\frac{p_i*q_i}{p_i%2bq_i}">
<img src="https://tex.cheminfo.org/?tex=d(p,q)=2\sum\limits_{i=1}^{n}\frac{p_i\cdot{q_i}}{p_i%2bq_i}">

- `cosine(p, q)`

Returns the [Cosine similarity](http://www.naun.org/main/NAUN/ijmmas/mmmas-49.pdf) between vectors p and q

<img src="https://tex.cheminfo.org/?tex=d(p,q)=\frac{\sum\limits_{i=1}^{n}{p_i*q_i}}{\sum\limits_{i=1}^{n}{p_i^2}\sum\limits_{i=1}^{n}{q_i^2}}">
<img src="https://tex.cheminfo.org/?tex=d(p,q)=\frac{\sum\limits_{i=1}^{n}{p_i\cdot{q_i}}}{\sum\limits_{i=1}^{n}{p_i^2}\sum\limits_{i=1}^{n}{q_i^2}}">

- `kumarHassebrook(p, q)`

Returns the [Kumar-Hassebrook similarity](http://www.naun.org/main/NAUN/ijmmas/mmmas-49.pdf) between vectors p and q

<img src="https://tex.cheminfo.org/?tex=d(p,q)=\frac{\sum\limits_{i=1}^{n}{p_i*q_i}}{\sum\limits_{i=1}^{n}{p_i^2}%2b\sum\limits_{i=1}^{n}{q_i^2}-\sum\limits_{i=1}^{n}{p_i*q_i}}">
<img src="https://tex.cheminfo.org/?tex=d(p,q)=\frac{\sum\limits_{i=1}^{n}{p_i\cdot{q_i}}}{\sum\limits_{i=1}^{n}{p_i^2}%2b\sum\limits_{i=1}^{n}{q_i^2}-\sum\limits_{i=1}^{n}{p_i\cdot{q_i}}}">

- `jaccard(p, q)`

Returns the [Jaccard distance](http://www.naun.org/main/NAUN/ijmmas/mmmas-49.pdf) between vectors p and q

<img src="https://tex.cheminfo.org/?tex=d(p,q)=1-\frac{\sum\limits_{i=1}^{n}{p_i*q_i}}{\sum\limits_{i=1}^{n}{p_i^2}%2b\sum\limits_{i=1}^{n}{q_i^2}-\sum\limits_{i=1}^{n}{p_i*q_i}}">
<img src="https://tex.cheminfo.org/?tex=d(p,q)=1-\frac{\sum\limits_{i=1}^{n}{p_i\cdot{q_i}}}{\sum\limits_{i=1}^{n}{p_i^2}%2b\sum\limits_{i=1}^{n}{q_i^2}-\sum\limits_{i=1}^{n}{p_i\cdot{q_i}}}">

- `dice(p, q)`

Expand All @@ -148,25 +148,25 @@ Returns the [Dice distance](http://www.naun.org/main/NAUN/ijmmas/mmmas-49.pdf) b

Returns the [Fidelity similarity](http://www.naun.org/main/NAUN/ijmmas/mmmas-49.pdf) between vectors p and q

<img src="https://tex.cheminfo.org/?tex=d(p,q)=\sum\limits_{i=1}^{n}{\sqrt{p_i*q_i}}">
<img src="https://tex.cheminfo.org/?tex=d(p,q)=\sum\limits_{i=1}^{n}{\sqrt{p_i\cdot{q_i}}}">

- `bhattacharyya(p, q)`

Returns the [Bhattacharyya distance](http://www.naun.org/main/NAUN/ijmmas/mmmas-49.pdf) between vectors p and q

<img src="https://tex.cheminfo.org/?tex=d(p,q)=-\ln\left(\sum\limits_{i=1}^{n}{\sqrt{p_i*q_i}}\right)">
<img src="https://tex.cheminfo.org/?tex=d(p,q)=-\ln\left(\sum\limits_{i=1}^{n}{\sqrt{p_i\cdot{q_i}}}\right)">

- `hellinger(p, q)`

Returns the [Hellinger distance](http://www.naun.org/main/NAUN/ijmmas/mmmas-49.pdf) between vectors p and q

<img src="https://tex.cheminfo.org/?tex=d(p,q)=2*\sqrt{1-\sum\limits_{i=1}^{n}{\sqrt{p_i*q_i}}}">
<img src="https://tex.cheminfo.org/?tex=d(p,q)=2\cdot\sqrt{1-\sum\limits_{i=1}^{n}{\sqrt{p_i\cdot{q_i}}}}">

- `matusita(p, q)`

Returns the [Matusita distance](http://www.naun.org/main/NAUN/ijmmas/mmmas-49.pdf) between vectors p and q

<img src="https://tex.cheminfo.org/?tex=d(p,q)=\sqrt{2-2*\sum\limits_{i=1}^{n}{\sqrt{p_i*q_i}}}">
<img src="https://tex.cheminfo.org/?tex=d(p,q)=\sqrt{2-2\cdot\sum\limits_{i=1}^{n}{\sqrt{p_i\cdot{q_i}}}}">

- `squaredChord(p, q)`

Expand Down Expand Up @@ -202,13 +202,13 @@ Returns the [Squared distance](http://www.naun.org/main/NAUN/ijmmas/mmmas-49.pdf

Returns the [Probabilistic Symmetric distance](http://www.naun.org/main/NAUN/ijmmas/mmmas-49.pdf) between vectors p and q

<img src="https://tex.cheminfo.org/?tex=d(p,q)=2*\sum\limits_{i=1}^{n}{\frac{(p_i-q_i)^2}{p_i%2bq_i}}">
<img src="https://tex.cheminfo.org/?tex=d(p,q)=2\cdot\sum\limits_{i=1}^{n}{\frac{(p_i-q_i)^2}{p_i%2bq_i}}">

- `divergence(p, q)`

Returns the [Divergence distance](http://www.naun.org/main/NAUN/ijmmas/mmmas-49.pdf) between vectors p and q

<img src="https://tex.cheminfo.org/?tex=d(p,q)=2*\sum\limits_{i=1}^{n}{\frac{(p_i-q_i)^2}{(p_i%2bq_i)^2}}">
<img src="https://tex.cheminfo.org/?tex=d(p,q)=2\cdot\sum\limits_{i=1}^{n}{\frac{(p_i-q_i)^2}{(p_i%2bq_i)^2}}">

- `clark(p, q)`

Expand All @@ -220,13 +220,13 @@ Returns the [Clark distance](http://www.naun.org/main/NAUN/ijmmas/mmmas-49.pdf)

Returns the [Additive Symmetric distance](http://www.naun.org/main/NAUN/ijmmas/mmmas-49.pdf) between vectors p and q

<img src="https://tex.cheminfo.org/?tex=d(p,q)=\sum\limits_{i=1}^{n}{\frac{(p_i-q_i)^2*(p_i%2bq_i)}{p_i*q_i}}">
<img src="https://tex.cheminfo.org/?tex=d(p,q)=\sum\limits_{i=1}^{n}{\frac{(p_i-q_i)^2\cdot(p_i%2bq_i)}{p_i\cdot{q_i}}}">

- `kullbackLeibler(p, q)`

Returns the [Kullback-Leibler distance](http://www.naun.org/main/NAUN/ijmmas/mmmas-49.pdf) between vectors p and q

<img src="https://tex.cheminfo.org/?tex=d(p,q)=\sum\limits_{i=1}^{n}{p_i*\ln\frac{p_i}{q_i}}">
<img src="https://tex.cheminfo.org/?tex=d(p,q)=\sum\limits_{i=1}^{n}{p_i\cdot\ln\frac{p_i}{q_i}}">

- `jeffreys(p, q)`

Expand All @@ -238,19 +238,19 @@ Returns the [Jeffreys distance](http://www.naun.org/main/NAUN/ijmmas/mmmas-49.pd

Returns the [K divergence distance](http://www.naun.org/main/NAUN/ijmmas/mmmas-49.pdf) between vectors p and q

<img src="https://tex.cheminfo.org/?tex=d(p,q)=\sum\limits_{i=1}^{n}{\left(p_i*\ln\frac{2p_i}{p_i%2bq_i}\right)}">
<img src="https://tex.cheminfo.org/?tex=d(p,q)=\sum\limits_{i=1}^{n}{\left(p_i\cdot\ln\frac{2p_i}{p_i%2bq_i}\right)}">

- `topsoe(p, q)`

Returns the [Topsøe distance](http://www.naun.org/main/NAUN/ijmmas/mmmas-49.pdf) between vectors p and q

<img src="https://tex.cheminfo.org/?tex=d(p,q)=\sum\limits_{i=1}^{n}{\left(p_i*\ln\frac{2p_i}{p_i+q_i}%2bq_i*\ln\frac{2q_i}{p_i+q_i}\right)}">
<img src="https://tex.cheminfo.org/?tex=d(p,q)=\sum\limits_{i=1}^{n}{\left(p_i\cdot\ln\frac{2p_i}{p_i+q_i}%2bq_i\cdot\ln\frac{2q_i}{p_i+q_i}\right)}">

- `jensenShannon(p, q)`

Returns the [Jensen-Shannon distance](http://www.naun.org/main/NAUN/ijmmas/mmmas-49.pdf) between vectors p and q

<img src="https://tex.cheminfo.org/?tex=d(p,q)=\frac{1}{2}\left[\sum\limits_{i=1}^{n}{p_i*\ln\frac{2p_i}{p_i+q_i}}%2b\sum\limits_{i=1}^{n}{q_i*\ln\frac{2q_i}{p_i+q_i}}\right]">
<img src="https://tex.cheminfo.org/?tex=d(p,q)=\frac{1}{2}\left[\sum\limits_{i=1}^{n}{p_i\cdot\ln\frac{2p_i}{p_i+q_i}}%2b\sum\limits_{i=1}^{n}{q_i\cdot\ln\frac{2q_i}{p_i+q_i}}\right]">

- `jensenDifference(p, q)`

Expand All @@ -262,13 +262,13 @@ Returns the [Jensen difference distance](http://www.naun.org/main/NAUN/ijmmas/mm

Returns the [Taneja distance](http://www.naun.org/main/NAUN/ijmmas/mmmas-49.pdf) between vectors p and q

<img src="https://tex.cheminfo.org/?tex=d(p,q)=\sum\limits_{i=1}^{n}{\left[\frac{p_i%2bq_i}{2}\ln\left(\frac{p_i%2bq_i}{2\sqrt{p_i*q_i}}\right)\right]}">
<img src="https://tex.cheminfo.org/?tex=d(p,q)=\sum\limits_{i=1}^{n}{\left[\frac{p_i%2bq_i}{2}\ln\left(\frac{p_i%2bq_i}{2\sqrt{p_i\cdot{q_i}}}\right)\right]}">

- `kumarJohnson(p, q)`

Returns the [Kumar-Johnson distance](http://www.naun.org/main/NAUN/ijmmas/mmmas-49.pdf) between vectors p and q

<img src="https://tex.cheminfo.org/?tex=d(p,q)=\sum\limits_{i=1}^{n}{\frac{\left(p_i^2-q_i^2\right)^2}{2(p_i*q_i)^{3/2}}}">
<img src="https://tex.cheminfo.org/?tex=d(p,q)=\sum\limits_{i=1}^{n}{\frac{\left(p_i^2-q_i^2\right)^2}{2(p_i\cdot{q_i})^{3/2}}}">

- `avg(p, q)`

Expand Down

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