UniFrac information

UniFrac, a shortened version of unique fraction metric, is a distance metric used for comparing biological communities. It differs from dissimilarity...

data to analyse. Phylogenetic aware distance is usually performed with UniFrac or similar tools, such as Soresen's index or Rao's D, to quantify the differences...

sequences. Due to the complexity of the data, distance measures such as UniFrac distances are usually defined between microbiome samples, and downstream...

American microbiologist, working on the gut microbiome, who developed the UniFrac algorithm Silvia Maciá (born 1972), marine biologist Carolyn M. Mazure...

{\displaystyle {\frac {\mathrm {d} [{\ce {P}}]}{\mathrm {d} t}}=k_{\rm {uni}}[{\ce {A}}],\quad k_{\rm {uni}}={\frac {1}{[A]}}{\frac {\mathrm {d[P]} }{\mathrm...

{uni} }={\frac {1}{hQ_{r}Q_{v}}}\int \limits _{E_{0}}^{\infty }\mathrm {d} E\sum _{J=0}^{\infty }{\frac {(2J+1)G^{\ddagger }(E,J)\exp \!\left({\frac...

(n+z)}}\left({\frac {2}{1}}\cdot {\frac {3}{2}}\cdots {\frac {n+1}{n}}\right)^{z}\\[8pt]&={\frac {1}{z}}\prod _{n=1}^{\infty }\left[{\frac {1}{1+{\frac {z}{n}}}}\left(1+{\frac...

frac {{\text{right}}-{\text{left}}}{2}}&0&0&{\frac {{\text{left}}+{\text{right}}}{2}}\\0&{\frac {{\text{top}}-{\text{bottom}}}{2}}&0&{\frac...

1 , … , n − 1. {\displaystyle \exp \left({\frac {2k\pi i}{n}}\right)=\cos {\frac {2k\pi }{n}}+i\sin {\frac {2k\pi }{n}},\qquad k=0,1,\dots ,n-1.} However...

m ⋅ s = N m 2 ⋅ s = P a ⋅ s = {\displaystyle [\mu ]={\frac {\rm {kg}}{\rm {m{\cdot }s}}}={\frac {\rm {N}}{\rm {m^{2}}}}{\cdot }{\rm {s}}={\rm {Pa{\cdot...

{\displaystyle {\frac {2}{2^{.5}}}\approx 1.414,{\frac {3}{4^{.5}}}=1.5,{\frac {4}{6^{.5}}}\approx 1.633,{\frac {6}{12^{.5}}}\approx 1.732,{\frac {8}{24^{.5}}}\approx...

e2/h represents the universal conductance. σ uni = ( π ) e 2 2 h {\displaystyle \sigma _{\text{uni}}={\frac {(\pi )e^{2}}{2h}}} (Equation 1) A representation...

{r} )&={\frac {1}{4\pi }}\int _{V}{\frac {\nabla '\cdot \mathbf {F} (\mathbf {r} ')}{|\mathbf {r} -\mathbf {r} '|}}\,\mathrm {d} V'-{\frac {1}{4\pi }}\oint...

r N s . {\displaystyle {\frac {\omega _{s}}{\omega _{r}}}=R,\quad {\mbox{so}}\quad {\frac {\omega _{s}}{\omega _{r}}}=-{\frac {N_{r}}{N_{s}}}.} 2. The...

S={\frac {1}{2}}E_{\theta }H_{\phi }^{*}={\frac {1}{2}}\ {\frac {\ \zeta _{0}\ I_{h}^{2}\ \ell ^{2}\ k^{2}\ }{(4\pi r)^{2}}}\ \sin ^{2}(\theta )={\frac {\zeta...

{\displaystyle P={\frac {W}{t}}={\frac {Fd}{t}}={\frac {180~{\text{lbf}}\times 2.4\times 2\,\pi \times 12~{\text{ft}}}{1~{\text{min}}}}=32{,}572~{\frac {{\text{ft}}\cdot...

by direction of the flow of information between its layers. Its flow is uni-directional, meaning that the information in the model flows in only one...

D u | u | . {\displaystyle F\,=\,C_{m}\,\rho \,{\frac {\pi }{4}}D^{2}\,{\dot {u}}\,+\,C_{d}\,{\frac {1}{2}}\,\rho \,D\,u\,|u|.} Besides the inline force...

^{2}-{\frac {1}{{c_{0}}^{2}}}{\frac {\partial ^{2}}{\partial t^{2}}}={\frac {\partial ^{2}}{\partial x^{2}}}+{\frac {\partial ^{2}}{\partial y^{2}}}+{\frac {\partial...

{\displaystyle \operatorname {NPV} =-123400+{\frac {36200}{(1+r)^{1}}}+{\frac {54800}{(1+r)^{2}}}+{\frac {48100}{(1+r)^{3}}}=0.} In this case, the answer...

V={\frac {\pi ^{\frac {n}{2}}}{\Gamma \left({\frac {n}{2}}+1\right)}}a_{1}a_{2}\cdots a_{n}\approx {\frac {1}{\sqrt {\pi n}}}\cdot \left({\frac {2e\pi...

\Phi (\omega )={\frac {1}{\sqrt {2\pi }}}\,\sum _{n=-\infty }^{\infty }B_{n}e^{-i\omega n}={\frac {1}{\sqrt {2\pi }}}\,\left({\frac {\sigma _{\varepsilon...

of the dielectric is. C = ε ⋅ A d {\displaystyle C=\varepsilon \cdot {\frac {A}{d}}} The dielectric thickness of electrolytic capacitors is very thin...

{\displaystyle Index_{t}={\frac {\displaystyle \sum _{i=1}^{n}(p_{it}\cdot s_{it}\cdot ff_{it}\cdot cf_{it}\cdot x_{it})}{D_{t}}}={\frac {M_{t}}{D_{t}}}} where:...

{\mathcal {E}}=-{\frac {d\Phi _{\mathbf {B} }}{dt}}=-{\frac {d}{dt}}(LI)} E = − L d I d t {\displaystyle \quad {\mathcal {E}}=-L{\frac {dI}{dt}}\quad }...

x  or  d d x f ( x ) . {\displaystyle {\frac {df}{dx}}(x){\text{ or }}{\frac {df(x)}{dx}}{\text{ or }}{\frac {d}{dx}}f(x).} Higher derivatives are written...