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t, colloid 2-droplet pair interactions, respectively; and $\Phi_{\textrm{dd}}$ is the droplet-droplet pair interaction. The colloid-colloid pair interaction is composed of a short-ranged attractive square well and a longer-ranged repulsive Yukawa potential, $$\phi_{11}(r)=\left \{ \begin{array}{ll} \infty & r< \s...
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a$ such that $\alpha$ ends a weak gap and $J_\a(\mathbb{R}){\vDash}\max(\b, {\gamma})<\utilde{\d}^2_1$. Notice that $f$ is $\Delta^2_1$ in codes. We define $\phi$ as follows. \[definition of phi\] If $x\not \in S \cap \mathbb{R}$ then let $\phi(x)=\emptyset$. Suppose now $x\in S$. Let $(y_x, \P_x)$ be the pair coded b...
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tments.icmab.es/leem/siesta. --- author: - 'D. Kaledin[^1]' date: '*To Yu. I. Manin, the founder, on the occasion of his 70-th birthday*' title: Cyclic homology with coefficients --- Introduction {#introduction .unnumbered} ============ Ever since it was discovered in 1982 by A. Connes [@C1] and B. Tsygan [@tsy], c...
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1.06 (0.25) 0.92 (0.17) Nitrogen dioxide 60.05 (26.09) 46.43 (17.67) 8-hour average ozone slip in a day 74.28 (54.90) 90.24 (52.46) Data Analysis ------------- Since the effect of weather and air quality on respiratory cond...
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$\lambda$, $L$ and their complex conjugates, the relation \[eq:ms:8\] [( \^i[( \_iL+|\_i||[L]{} )]{}-I\_q )]{}b=0. The vector $b$ can be identified with an eigenvector of equation (\[eq:ms:8\]). Since $b$ is known from the initial system (\[eq:SW:1\]), the equation has to be satisfied by an appropriate choice of fun...
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e way to deploy your Angular app is to use GitHub Pages. The first step is to create a GitHub account, and then create a repository for your project. Make a note of the user name and project name in GitHub. Then all you need to do is run ng build --prod --output-path docs --base-href PROJECT_NAME, where PROJECT_N...
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. I am also very grateful to Professor P. V. Giaquinta for continuous encouragement and suggestions. Finally, discussions with Dr Giuseppe Pellicane during the final stage of this work are gratefully acknowledged. Weinberg’s formalism {#app:weinberg} ==================== Consider a quantum system in a state described...
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y}{l l} \begin{pmatrix} s_i&\pi y_i\\ \pi v_i&1+\pi z_i \end{pmatrix} & \quad \textit{if $i$ is even and $L_i$ is \textit{of type $I^o$}};\\ \begin{pmatrix} s_i&r_i&\pi t_i\\ \pi y_i&1+\pi x_i&\pi z_i\\ v_i&u_i&1+\pi w_i \end{pmatrix} & \quad \textit{if $i$ is even and $L_i$ is \textit{of type $I^e$...
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small &<br /> large business<br /> for<span> all sectors</span></p> <a href="http://motors06.denison-automotive.co.uk/denison/denison-2/web-sites/"><span class="viewMorePsGreen">GO</span></a> </div> </div> </div> <div class="wrapPortalItem col-md-8"> <div class="insideWrapI...
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ron.com [mailto:Cooper.Richey@enron.com] Sent: Thursday, December 06, 2001 8:25 AM To: JHawker@petersco.com Subject: RE: i'll just need a receipt and you're done -----Original Message----- From: Jai Hawker <JHawker@petersco.com>@ENRON Sent: Thursday, December 0...
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_Z$ are both reduced, $Z/R|_Z$ is the seminormalization of $W$ and $Z/R|_Z\to W$ is not an isomorphism. \[bb.count.exmp\] The following counter example to (\[quot.X/S.finite.lem\]) is proposed in [@bial 6.2]. Consider the diagram $$\begin{array}{ccc} {\operatorname{Spec}}k[x,y] & \stackrel{p_1}{\longrightarrow} & {\o...
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a_{4}$ $\beta_{5}$ $\beta_{6}$ $\beta_7$ ------ ---------------- ------------- ------------- ------------- ------------- ------------- ------------- ----------- 1 K=50 0.054 0.064 0.052 0.052 0.038 0.040 0.048 K=100 0....
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extit{if $l=2m-1$}. \end{array} \right.$$ Both forms are alternating and bilinear. - Define $Z(L)$ to be the sublattice of $L$ such that $Z(L)/\pi B(L)$ is the radical of the quadratic form $\frac{1}{2^{m+1}}q$ mod $2$ on $B(L)/\pi B(L)$ if $l=2m$. (see, e.g., page 813 of [@Sa] for the notion of the radica...
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font-size:25px; line-height:30px; font-weight:bold; font-family:Raleway; text-align:center; background-repeat:no-repeat; } Q: How to simplify $\Re\left[\sqrt2 \tan^{-1} {x\over \sqrt i}\right]$? While solving $$\int \frac{x^2+1}{x^4+1}\,dx,$$ I tried to use partial fractions in the denominator by writing $x^4...
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- 25.2$ and PSNR values are between $18.1 - 19.9\%$. []{data-label="fig:FBPs"}](Cosine "fig:"){width="6.3cm"}]{} (5,3)[![Filtered backprojection reconstructions using (a) Shepp–Logan filter, (b) Cosine filter (c) Hamming filter, (d) Hann filter. Values of relative error (RE) are between $23.6 - 25.2$ and PSNR values ar...
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hared instances to the next step so I created the following code: @implementation MyClass static id sharedInstance; #pragma mark Initialization + (instancetype)sharedInstance { static dispatch_once_t once; dispatch_once(&once, ^{ sharedInstance = [[self alloc] init]; }); return sharedInstance...
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orra like Wan where he had no previous past lives to turn to for advice (unlike Aang who could turn to Roku, Kyoshi and those other 2 Avatars he spoke to at the end) and thus can still be reincarnated. A: Actual Avatar reincarnation means Raava accepts part of current Avatar soul, leaves its body, and finds new Avata...
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({\mathcal M}_0)_{\eta\eta}^2 - ({\mathcal M}_0)_{ss}^2 \bigr\}^2 + 2\, \lambda_{s\Phi\eta}^2\, v^2\, v_s^2 \ } \right\} , \label{eq:mH1}\\ m_{{\mathcal H}_2^0}^2 &=& \frac{1}{\,2\,} \left\{ ({\mathcal M}_0)_{\eta\eta}^2 + ({\mathcal M}_0)_{ss}^2 + \sqrt{ \bigl...
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1 g versus 2 g ceftriaxone dose, given as N (%) for categorical variables or mean ± SD for continuous variables. --------------------------------------------------------------------- Ceftriaxone 1 g\ Ceftriaxone 2 g\ p-value (N=34) (N=57) ...
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wo domains: *High* and *Low*. It is generalized to arbitrary multi-domain policies in [@von04] as a new notion *nonleakage*. As pointed out in [@Mantel01] that it is important to combine language-based and state-event based security, and a new notion *noninfluence* which is combination of nonleakage with traditional no...
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algorithm to another one. Investigating finer resolution images and statistical records would also be interesting future research to evaluate other image quality parameters. Moreover, the proposed method can be applied to multidetector CT imaging [@mookiah2018multidetector; @flohr2005multi] as well as 3D CT problems u...
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ect estimate ( $\left. \hat{\theta} \right)$ under different scenarios, for the random treatment effect with normal and beta distributions for the intercept data generating mechanisms. Results shown separately for stratified (1) and random (2) intercept models, under each of the different estimation options considered ...
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Notice that the type of each $L_i$ is determined canonically regardless of the choice of a Jordan splitting. Sharpened Structure Theorem for Integral hermitian Forms {#sstm} -------------------------------------------------------- \[210\] There exists a suitable choice of a Jordan splitting of the given lattice $L=\b...
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0cm]\draw[thick,densely dotted](0,.13)--++(2*.25,0);\end{tikzpicture}}};\star,;\star;\star),$$ which do not occur in any other ${\psi_{2,1}}\circ\tau_i$ (note these tableaux do occur when we compute ${\psi_{2,1}}\circ{\hat\Theta_{T}}$ for $T$ of type $4$, but each one occurs twice when we sum over tableaux of type $4$,...
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have entered may not be saved. Leave Page and Stay on Page" Can we invoke this confirmation box through some special function of browser? I want to implement it in AngularJS application A: Warlock's answer is partly right, but in doing so, you'd break testability. In Angular, you'd want to use $window, and you'll w...
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-4b''(1+4b'')&-\pi(1+4b'')\\0&0&\pi(1+4b'') &0 \end{pmatrix}.$$ Let $$\left\{ \begin{array}{l} \tilde{M}_0=(\oplus_{\lambda}H_{\lambda})\oplus \left( Be_1'\oplus Be_2' \right)\\ \textit{ } \oplus \left( B(e_3'-e_5)\oplus B(e_4'-e_5) \right);\\ \tilde{M}_1=B(e_5-\fra...
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, the image of a fixed element of $F_j$ in the special fiber of the smooth integral model associated to $L^j$ is $$\begin{pmatrix} id&0 &0\\ 0 & \begin{pmatrix} 1+\frac{2}{a+2b}(b\pi x_j-z_j^{\ast})&\frac{a\pi x_j}{a+2b} &\frac{-2}{a+2b}z_j^{\ast}\\ \frac{2}{a+2b}(b\pi x_j-z_j^{\ast}) &1+\frac{a\pi x_j}{a+2b} &...
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with respect to the previous infections (Table [5](#ccr32374-tbl-0005){ref-type="table"}). ###### Information about six previous case reports regarding the *S pluranimalium* infections Sex Age Infection Previous disease Diagnostic method Ref --------- --------- ----------...
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m_{i,i}^{\ast\ast}=0$ *if $i\neq j$*; - and for $m_{j,j}$, $$\left \{ \begin{array}{l l} s_j=\mathrm{id~}, y_j=0, v_j=0, z_j=\pi z_j^{\ast} & \quad \textit{if $i$ is even and $L_i$ is \textit{of type} $\textit{I}^o$};\\ s_j=\mathrm{id~}, r_j=t_j=y_j=v_j=u_j=w_j=0, z_j=\pi z_j^{\ast} & \quad \tex...
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github_plus_top10pct_by_avg
  Mother 304 5 (4.0) 299 (78.1)   Other 203 119 (96.0) 84 (21.9)  Dietary supplementation   Yes ...
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/2}\left( half-hypermultiplet in ${\bf 12}$ of $so(12)$ \lambda^{1-6}_{-1/2}, \overline{\lambda}^{1-6}_{-1/2} \right) \otimes \left( \psi^3_{-1/2}, \overline{\psi}^4_{-1/2} \right)$ ...
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}_n\}, k)}{{\sync}(\{{\mathit{s}}_n\}, k)} = \lim_{\;k \to \infty} \frac{N_Z(\{{\mathit{s}}'_n\}, k)}{{\sync}(\{{\mathit{s}}'_n\}, k))}$$ for a reference set of steps $\varnothing \neq Z \subseteq {\mathbb{S}}$. The synchronization function allows expression of the absolute operational profile as an intensity (rate o...
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0.791961
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that for each binding $V_i \setminus t_i$, $1\leq i \leq n$, either: - $V_i \in Var(B_1)$ and $V_i$ is labeled as integer and $t_i$ is an integer expression, or - $V_i \in Var(B_1)$ and $V_i$ is labeled as input but not as integer variable, or - $V_i \in Var(A_1)$, $V_i$ is not labeled as input, no variable o...
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a situation in which there is no thermal disorder in the quantum degrees of freedom so that $\iota=1$: *viz.*, the density matrix becomes that of a pure state $\rho_{\alpha\alpha^{\prime}}(X,t)\to C_{\alpha}(X,t)C_{\alpha^{\prime}}^{*}(X,t)$. Then, equations (\[eq:c\]) and (\[eq:cstar\]) remain unaltered and one has j...
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960 (11.99) \ Other^c^ 1441 (18.00) \ Do not know 240 (3.00) -------------------------------------------------------------------------------- ^a^Average of the percentage for all four countries....
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{\nu}{W}>0\\ -1&\frac{\nu}{W}<0\;, \end{array}\right.$$ so that $E_0$ falls either above (for $\nu/W > 0$) or below (for $\nu/W < 0$) the energy band (\[eq:band\]). The probability to find the particle at the $\ell$-th site, when it is bound by the defect, is given by $$\label{eq:loc} {p}_{\ell} = \frac{2\left|\nu\...
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github_plus_top10pct_by_avg
- \psi^{1-2}(\sigma), \\ \psi^{3-4}(\sigma + 2 \pi) & = & - \psi^{3-4}(\sigma), \\ \lambda^{1-6}(\sigma + 2 \pi) & = & + \lambda^{1-6}(\sigma), \\ \lambda^{7-14}(\sigma + 2 \pi) & = & + \exp\left( 2 \pi i \frac{2}{4} \right) \lambda^{7-14}(\sigma) \: = \: - \lambda^{7-14}(\sigma), \\ \lambda^{15-16}(\sigma + 2 \pi) & =...
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times I)}={\mathop{\mathrm{ess\hspace{1mm}sup}}}_{(x,\omega,E)\in G\times S\times I} \int_S\tilde\sigma(x,\omega',\omega,E)d\omega' \\ &{\left\Vert \int_S\tilde\sigma(\cdot,\cdot,\omega',\cdot)d\omega'\right\Vert}_{L^\infty(G\times S\times I)}={\mathop{\mathrm{ess\hspace{1mm}sup}}}_{(x,\omega,E)\in G\times S\times I} \...
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Sigma_{8,3,\{0,4\}}$ and $T_{3,7}$](t_and_sigma "fig:"){height="2.2in"} \[subbicyclic\][@ruskuc] Let $S$ be a subsemigroup of the bicyclic monoid. Then one of the following conditions holds:\ 1. $S$ is a subset of the diagonal, $S \subseteq D$.\ 2. $S$ is a union of a subset of a triangle, a subset of the diagonal abo...
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hat{H} & \hat{\chi} \end{array}\right] \cdot\mbox{\boldmath$\Omega$}\cdot \left[\begin{array}{c} \hat{H} \\ \hat{\chi}\end{array}\right] \nonumber\\ &=&\frac{i}{\hbar} [\hat{H} , \hat{\chi}]_{\mbox{\tiny\boldmath$\Omega$}} \;. \label{eq:gen-qlm}\end{aligned}$$ The non-Hamiltonian commutator of Eq. (\[eq:gen-quantum-alg...
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re, if we denote $F^{(i)}_{m,n} =\phi^{(i)}_{m-1,n} \phi^{(i)}_{m,n} \phi^{(i)}_{m+1,n} $, $$\begin{gathered} A^{(0)}_{m,n} = F^{(0)}_{m,n} F^{(1)}_{m,n} F^{(2)}_{m,n} \phi^{(1)}_{m,n}\phi^{(2)}_{m,n}\phi^{(3)}_{m,n} ,\qquad A^{(1)}_{m,n} = F^{(0)}_{m,n} F^{(1)}_{m,n} F^{(2)}_{m,n} F^{(3)}_{m,n} \frac{\phi^{(2)}_{m,n}...
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fix}(c)={\it True}$;]{} (15,232)[begin]{} (0,220)[$1.$for $i:=1$ to $h$ do $A_{c}(i,i):=0$;]{} (0,198)[2. $E:= \left( \begin{array}{cccc} \sigma_{2} & \sigma_{3} & \ldots & \sigma_{h} \\ 0 & 0 & \ldots & 0 \end{array} \right) ...
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label="fig:failure_mode"}](figures/failure_mode.pdf){width="0.8\linewidth"} Triplet Network Visualization {#triplet-network-visualization .unnumbered} ----------------------------- Here we illustrate how a triplet network is trained. An anchor, positive example, and negative example are all passed through the same em...
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bounce the projection off the mirror on one side of the room and then read it off the wall on the other side of the room. This should get you up to 14 inches. However, the image will be reversed. If you have two mirrors the image could be corrected and you could have a final size of 21 inches. CAUTION: The larger t...
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or }2$. We also have to incorporate Equations (\[ea25\]) and (\[ea27\]) together with the two formal equations about $(\tilde{z_i^{\ast}})_1$ and $(\tilde{z_i^{\ast}})_2$ given just before Equation (\[ea31\]), and Conditions (e), (f) of the description of an element of $\tilde{M}(R)$ given at the paragraph following Le...
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$\begin{aligned} \frac{\exp\lrp{-\frac{7\aq\Rq^2}{3}}}{2}\leq \psi(r)\nu(r)\leq 1 \end{aligned}$$ Where we use Lemma \[l:tau\] and the fact that $\nu(r) \in [1/2,1]$ **Proof of \[f:q”(r)\_bounds\]** Recall that $$\begin{aligned} q''(r) = \psi'(r) \nu(r) + \psi(r) \nu'(r) ...
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\] 3. The base change profunctor $(\id\times u)_!\lI_{A\op}\in \cProf({\sV})(A\op,B\op)$ has a left adjoint in $\cProf({\sV})$.\[item:sd1op\] 4. The morphism $u_!\colon{\sV}^A\to{\sV}^B$ has a left adjoint that is a weighted colimit functor.\[item:sd2\] 5. The right Kan extension $(u\op)_\ast\colon {\sV}^{A\op} \...
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ing.html My initial code was like this: <?php namespace ApplicationTest\Controller; use Zend\Http\Request; use Zend\Http\Response; use Zend\Test\PHPUnit\Controller\AbstractHttpControllerTestCase; class IndexControllerTest extends AbstractHttpControllerTestCase { protected $controller; protected $request; ...
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- Yury Kochetkov title: 'On enumeration of tree-rooted planar cubic maps' --- Introduction ============ Plane triangulation is a planar map, where the perimeter of each face is three. The corresponding dual graph is *cubic*, i.e. the degree of each vertex is three. A plane triangulation will be called *proper*, if e...
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1 , B. P., [Findlay]{}, J. R., [Sutherland]{}, W. J., [et al.]{} 2013, , 779, 24 , M. 2012, Science, 337, 544 , M., & [Rees]{}, M. J. 2005, , 633, 624 , M., [Silk]{}, J., & [Dubus]{}, G. 2015, , 804, 148 , K.-y., [Fukue]{}, J., [Takeuchi]{}, M., & [Mineshige]{}, S. 2000, , 52, 133 , D., & [Norman]{}, M. L. 2008, ...
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r\Delta_B-\bar\Delta_C} E(w)\end{aligned}$$ with numerical coefficient: $$\begin{aligned} \label{A:BC:step4coef}\# &= (-1)^{-\Delta_E + \Delta_D + \Delta_C}(-1)^{-\bar \Delta_E + \bar \Delta_D + \bar \Delta_C} \cr & \times \frac{(\Delta_D - \Delta_A - \Delta_B)(\Delta_D - \Delta_A - \Delta_B-1)...(\Delta_E - \D...
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in the process. Instead of $\overline{e}^{1/2}$, if we utilize $\sigma_w$ in the definitions of $L_b$ and $\mathcal{L}$, we get: $\overline{\varepsilon} = \sigma_w^2 N$. This equation is identical to Eq. \[W81\] which was derived by Weinstock [@weinstock81]. His derivation, based on inertial-range scaling, is summariz...
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**Mean ± SEM\*** **Before weight loss** **After weight loss** **P value** -------------------------------- ------------------ ------------------------ ----------------------- ------------- *Choline (umol/L)* \- 68.8 (34.1-287.8) 57.5 (22.9-129.9) 0.046 ...
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=w^{-1}({\alpha }_p),\,\gamma _j=w^{-1}({\alpha }_j)\big) \end{aligned} \label{eq:J'} \end{aligned}$$ and $$\begin{aligned} J=J'+\big( f_{\beta ,\beta }^{{b^{\chi}} (\beta )}-1\,|\, \beta \in R^\chi _{+{\mathrm{fin}}} \big). \label{eq:J} \end{aligned}$$ Then, by Lemma \[le:equalrs\], Def. \[...
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le distribution in the daily scale. Manipulation on those data (e.g. Fig. \[fig:example-ecdf\]) results in a drift or distortion of the distribution, which can be captured to trigger an alarm. Statistical Divergence Detection with Reference(SDD-R) {#sec:alg-opt-reference} ----------------------------------------------...
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journal.pone.0165605.t003 ###### Proportion of discontinued trials. ![](pone.0165605.t003){#pone.0165605.t003g} REC Freiburg Other RECs[^1^](#t003fn001){ref-type="table-fn"} ----------------------------------------------...
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$}};\\ \xi^{i/2}a_i & \quad \textit{if $L_i$ is \textit{of type $II$}}. \end{array} \right.$$ Here, $a_i$ is a formal $(n_i-1 \times n_i-1)$-matrix (resp. $(n_i-2 \times n_i-2)$-matrix or $(n_i \times n_i)$-matrix) when $L_i$ is *of type $I^o$* (resp. *of type $I^e$* or *of type $II$*). Non-diagonal ...
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2,696
0.77776
github_plus_top10pct_by_avg
img = cam.get_image() pygame.image.save(img,"current.jpeg") cam.stop() host = ftputil.FTPHost(**) host.upload("./current.jpeg", "/domains/*/public_html/webcam.jpg", mode='b') host.close() if not count: host = ftputil.FTPHost(**) filename = ...
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en and $L_i$ is *of type $I^o$* (resp. if $i$ is even and $L_i$ is *of type $I^e$*, or if $i$ is odd and $L_i$ is *free of type $I$*) and $y_i, v_i, z_i, r_i, t_i, y_i, x_i, u_i, w_i$ are matrices of suitable sizes with entries in $B\otimes_AR$. Similarly, in other cases, i.e. if $i$ is even and $L_i$ is of type $II$, ...
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619
408
1,468
0.789177
github_plus_top10pct_by_avg
cruited in our research. The average age of included patients was 56.9 years old. Of the patients, 46 exhibited complete response (CR) or partial response (PR), showing an overall response rate of 44.2%. [Table 2](#T2){ref-type="table"} described clinical profiles for all enrolled subjects. ###### The association betw...
360
5,158
117
130
null
null
github_plus_top10pct_by_avg
rst isomorphism theorem, $\ker{f}$ has index $2$ in $G$. Q: Python: solving unicode hell with unidecode I have been working on ways to flatten text into ascii. So ā -> a and ñ -> n, etc. unidecode has been fantastic for this. # -*- coding: utf-8 -*- from unidecode import unidecode print(unidecode(u"ā, ī, ū, ś, ñ")...
361
1,943
119
237
569
0.805417
github_plus_top10pct_by_avg
ions on $\mathcal{L}_{Q}^{P}$. A$_{1}$. *The propositional letters* $p$*,* $q$*, ... are substituted by the symbols* $E(x)$*,* $F(x)$*, ..., with* $E$*,* $F$*, ...* $\in \mathcal{E}$*.* A$_{2}$. *The set* $\psi _{R}^{Q}$* of all rfs of* $\mathcal{L}_{Q}^{P}$* reduces to the set of all atomic rfs of* $\mathcal{L}_{Q}^...
362
3,708
847
398
2,410
0.780018
github_plus_top10pct_by_avg
r experiment 0, we invited a group of participants consisting of 28 tunnel technology professionals, while for the second part (experiments 1--4) we invited a group of 50 students. 10.1371/journal.pone.0201732.t001 ###### Short characteristics of all performed experiments including estimated visibility, group familia...
363
4,898
335
210
null
null
github_plus_top10pct_by_avg
r = 0.62, p\<0.001 in men; r = 0.73, p\<0.001 in women). Among males, the number of subjects categorized as having dismobility syndrome (gait speed \<0.6 m/s) was 6 (9%) according to 4-MM, and 19 (28%) according to 4-MA. Among females, 22 subjects (21%) had dismobility syndrome according to 4-MM and 30 (29%) according ...
364
23
1,106
462
null
null
github_plus_top10pct_by_avg
of a Markov chain of order $k$, we separate single paths by prepending a sequence of $k$ generic *RESET* states to each path, and also by appending one *RESET* state at the end of each path. This enables us to connect independent paths and – through the addition of the *RESET* state – to forget the history between diff...
365
24
942
409
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github_plus_top10pct_by_avg
ion for the final step of the James’s method. To summarize, the James algorithm consists of the following four steps: (1) Solve the Poisson equation with the zero boundary condition to obtain $\Psi$; (2) Evaluate the screening charge $\sigma$ by applying the discrete Laplace operator to the ghost cells ($\sigma = \Del...
366
2,967
1,535
444
1,902
0.784584
github_plus_top10pct_by_avg
NA, respectively. (B) SWV responses of the DNA biosensor for (a) PBS, (b) 1% BSA, (c) 1000 fM ncDNA, (d) 10 fM ctDNA and (e) 1000 fM ctDNA.](ntnov02p0012g003){#F2} ![Effects of parameters on immunosensing responses. (A) Concentration of PNA, (B) incubation time including PNA capture (black) and LPA-anti-5-mC recogniti...
367
1,946
1,021
482
null
null
github_plus_top10pct_by_avg
AR, h\otimes_AR)$. Here we consider $\mathrm{Aut}_{B\otimes_AR}(L\otimes_AR, h\otimes_AR)$ as a subgroup of $ \mathrm{Res}_{E/F}\mathrm{GL}_E(V)(F\otimes_AR)$. To ease the notation, we say $g\in \mathrm{Aut}_{B\otimes_AR}(L\otimes_AR, h\otimes_AR)$ stabilizes a lattice $M\subseteq V$ if $g(M\otimes_AR)=M\otimes_AR$. M...
368
1,077
772
417
2,311
0.780936
github_plus_top10pct_by_avg
wo vectors is $\pi^1$-modular with the norm $(4)$ (so that it is isometric to $H(1)$ by Theorem \[210\]) and the lattice spanned by the former two vectors is $A(1+4(b+b'), 2a+4(b+b'), 1+4(b+b'))$, which is $\pi^0$-modular and *of type $I^e$*. Let $$\left\{ \begin{array}{l} \tilde{M}_0=\left(\oplus H(0)\right)\o...
369
2,173
512
379
3,531
0.771715
github_plus_top10pct_by_avg
ical self-concept show values of just 60 out of a maximum 99. ###### Satisfaction of basic psychological needs in unstructured and organized activities, physical self-concept, and weekly PA. *M* *SD* As *K* ----------------------- ------- ------- ------- ------- Autonomy (U...
370
4,178
203
161
null
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github_plus_top10pct_by_avg
d}$$ The WMTF in is the sum of independent Gaussian contributions, firstly, from a baseline effect of $N({\bar{\mu}},{\bar{\nu}}^{-1})$ and, secondly, from each MU that fires. If the $j$th MU fires then it makes a $N(\mu_j,\nu^{-1})$ contribution to the WMTF. The parameters ${\boldsymbol{\mu}}= (\mu_1, \ldots, \mu_u)^\...
371
1,313
1,102
422
1,547
0.788381
github_plus_top10pct_by_avg
l to $B_{2n}$, the Bell number. For $w\in\Sigma_n^1$ consider a rectangle with $n$ marked points on the bottom and the same $n$ on the top as in Figure \[fig:plan\]. ![A seat-plan of $\Sigma_5$[]{data-label="fig:plan"}](1.eps) The $n$ marked points on the top are labeled by $1, 2, \ldots n$ from left to right. Simil...
372
2,915
1,419
401
3,756
0.770288
github_plus_top10pct_by_avg
\[theorem\][Предложение]{} \[theorem\][Следствие]{} \[theorem\][Гипотеза]{} \[theorem\][Проблема]{} \[theorem\][Определение]{} \[theorem\][Замечание]{} Ø[[**O**]{}]{} Self-intersection of immersions and Kervaire Invariant ====================================================== The Kervaire Invariant One Problem is an...
373
555
718
423
3,289
0.773427
github_plus_top10pct_by_avg
nonumber \\ &\times& \left\{ (UX)^{\dagger} A W \right\}_{i K} \left\{ W ^{\dagger} A (UX) \right\}_{K k} \left\{ (UX)^{\dagger} A W \right\}_{k L} \left\{ W ^{\dagger} A (UX) \right\}_{L i}. \label{hatS-4th-order-ii-4th}\end{aligned}$$ Structure of $S$ matrix elements {#sec:structure-S-matrix} ==================...
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github_plus_top10pct_by_avg
force ${\boldsymbol{F}}^{(0)}$. For ${\boldsymbol{F}}^{(1)}$, we obtain analytical expressions in the simple case where the impurity is moving with a constant velocity in an otherwise uniform BEC. The desired relationships between $\nabla \delta\rho_0$ and $\nabla \delta\rho_1$ in Eqs. (\[eq:fp\_unperturb\])-(\[eq:fp...
375
307
846
562
2,158
0.782168
github_plus_top10pct_by_avg
5 25 200 33 100 ------- ---------------- --------------------------- ---------------- --------------------------- : Parameters of the VXD layers for the standard and CMOS configuration. 50 $\mu$m and 15 $\mu$m sensitive thickness, 3 and 5 hit pixe...
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3,174
466
370
null
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github_plus_top10pct_by_avg
d from the moded SLD-tree. Let $C$ be an integer condition or expression and $N_i$ and $N_j$ two nodes in a moded SLD-tree $D$. Let $Cons$ be the set of all integer constructors occurring as selected atom in a node $N_p~(i \leq p \leq j)$ in $D$. The function *$apply\_cons(C,N_i,N_j)$* returns the integer condition o...
377
4,065
1,426
357
307
0.814159
github_plus_top10pct_by_avg
c(\sigma_{h},\sigma_{1}) & c(\sigma_{h},\sigma_{2}) & \ldots & c(\sigma_{h},\sigma_{h}) & c(\sigma_{h},\lambda) \end{array} \right) $. Let us denote by **Huffman**$({\it EF}(w),n)$ the well-known Huffman’s algorithm [@ds1], where $n\geq{1}$, and ${\it EF}...
378
2,938
714
362
1,275
0.791726
github_plus_top10pct_by_avg
ainly be done once, manually, it's even more powerful to bake the commands into a script that can be called from the Vagrantfile during provisioning. Such a script might look like this: ./scripts/create-nat-hyperv-switch.ps1: # See: https://www.petri.com/using-nat-virtual-switch-hyper-v If ("NATSwitch" -in (Get-VMSwit...
379
60
261
271
101
0.82622
github_plus_top10pct_by_avg
0.036\* C53 0.8965 (3) −0.1062 (4) 0.5675 (2) 0.0377 (15) H53 0.8744 −0.1643 0.5638 0.045\* C54 0.9519 (3) −0.1034 (4) 0.5582 (2) 0.0327 (13) H54 0.9682 −0.1597 0.5483 ...
380
3,207
339
274
null
null
github_plus_top10pct_by_avg
ed topological spaces [@heller:stable]. and make precise various additional slogans saying, for instance, that spectra are obtained from spaces or pointed spaces by forcing certain colimit and limit type constructions to commute. We illustrate this by two examples. 1. If one forces homotopy finite colimits and homoto...
381
1,560
1,411
512
null
null
github_plus_top10pct_by_avg
the PMNS matrix in order to add two new CP-violating phases, called Majorana phases, $$U_{PMNS}\rightarrow U_{PMNS}\cdot diag(1,e^{i\alpha_{M}},e^{i\beta_{M}}).$$ Let us consider the PMNS-induced quark and lepton EDMs in this scenario. The dominant diagrams are: ![PMNS-induced quark (on the left) and lepton (on the ri...
382
169
951
490
null
null
github_plus_top10pct_by_avg
0.030 0.022 R2 Between 0.904 0.938 0.877 ...
383
1,326
1,255
515
null
null
github_plus_top10pct_by_avg
and: python app.py ports: - "80:5000" volumes: - .:/service container_name: external networks: - ws_bridge networks: ws_bridge:` I want to be able to get the Part object by its id The code that i wrote: @GetMapping("/parts/{id}") public PcPart getPart...
384
259
170
156
89
0.826972
github_plus_top10pct_by_avg
an; SD, standard deviation; T, T-values (Paired Samples t-test); d, Cohen's d; P, observed power. No significant differences are observed in relation to the effect of activity type on satisfaction of the need for relatedness. [Table 5](#T5){ref-type="table"} summarizes the results of the comparison of male and female...
385
5,502
488
162
null
null
github_plus_top10pct_by_avg
om the duality proposal. We use $X^{3-4}$ to denote the bosons in the $T^4$, and $\psi^{3-4}$ their right-moving superpartners. We shall use $\lambda^{1-8}$ to denote the free left-moving fermions and $\lambda^{9-16}$ to denote the left-moving fermions in the bundle above. Let us begin the spectrum computation in the...
386
2,808
585
341
null
null
github_plus_top10pct_by_avg
---------------------- In this experiment, we tested all seven algorithms on totally synthetic data sets. Results are shown in TABLE \[tab:performance-synthetic\]. It shows that our technique can be applied towards any kind of distributions. And these techniques worked better under irregular distributions since differ...
387
4,611
223
236
null
null
github_plus_top10pct_by_avg
_{-(m-1)+i} = {\mathit{v}}_{-(n-1)+i}$, then ${\mathfrak{A}}({\mathit{u}}_{-(m-1)+i}) = {\mathfrak{A}}({\mathit{v}}_{-(n-1)+i}) = {\mathfrak{A}}({\mathit{s}})$. By transitivity of equality, ${\mathit{u}}_{-(m-1)+(i+1)} = {\mathfrak{A}}({\mathit{s}}) = {\mathit{v}}_{-(n-1)+(i+1)}$. Without loss of generality suppose $m...
388
2,575
1,539
472
1,200
0.792836
github_plus_top10pct_by_avg
ha({\mathbf{d}}(s))(x)]$ showing that $s*\widetilde{\alpha}([{\mathbf{d}}(s),x])$ is defined, too. The proof is completed by the following calculation using the fact that components of $\alpha$ commute with the translation maps: $$\widetilde{\alpha}(s\circ ([{\mathbf{d}}(s),x]))=\widetilde{\alpha}([{\mathbf{r}}(s),F({\...
389
1,715
411
424
null
null
github_plus_top10pct_by_avg
0.972 −0.972 −0.972 (−1.479, −0.465); (−1.482, −0.462); (−1.740, −0.204); (−1.653, −0.291); (−1.481, −0.462); (−1.482, −0.462); (−1.731, −0.212); (−1.646, −0.298); 1.97E−16 ...
390
3,186
1,838
442
null
null
github_plus_top10pct_by_avg
array(27) { [0]=> array(6) { ["frags"]=> string(1) "0" ["ping"]=> string(2) "26" ["nick"]=> string(10) "DIVINEBRAH" ["gq_name"]=> string(10) "DIVINEBRAH" ["gq_score"]=> string(1) "0" ["gq_ping"]=> string(2) "26" } [1]=> array(6) { ["frags"]=> stri...
391
3,014
1,232
350
55
0.830658
github_plus_top10pct_by_avg
se $p < 4k$ : linear mixing and hitting times --------------------------------------------------- ![The $p<4k$ case: a plot of $P[0]$ and $P[1]$ versus time, for $k =1$, $n=5$, $p = 0.5$[]{data-label="fig2"}](pless4k){width="3in"} When $p < 4k$, we recover the perhaps most interesting feature of the non-decohering wa...
392
4,579
450
277
2,619
0.778388
github_plus_top10pct_by_avg
0.00253 (13) 0.00284 (13) Ag3 0.01196 (17) 0.01387 (16) 0.01320 (16) −0.00216 (12) 0.00038 (13) 0.00199 (12) Ag4 0.01172 (16) 0.01111 (15) 0.01114 (15) −0.00089 (12) 0.00175 (12) 0.00073 (12) S1 0.0119 (5) 0.0230 (6) 0.0107 (5) −0.0008 (4) 0.0009 (4) 0.0018 (4) S...
393
4,145
417
239
null
null
github_plus_top10pct_by_avg
{D}$, and it is not difficult to see from Eqs. (\[Eqn: func\_bi\]) and (\[Eqn: multi\_bi\]), that the restriction **** of $\widehat{\mathcal{T}}$ to $\textrm{Map}(X,Y)$ is just $\mathcal{T}$. Henceforth $\widehat{\mathcal{T}}$ and $\mathcal{T}$ will be denoted by the same symbol $\mathcal{T}$, and convergence in the t...
394
963
886
493
1,430
0.789713
github_plus_top10pct_by_avg
---C37 1.395 (6) W1---S3 2.2240 (11) C33---C34 1.396 (6) W1---S2 2.2579 (11) C33---H33 0.9500 W1---Ag2 2.9701 (4) C34---C35 1.391 (7) W1---Ag1 2.9707 (5) C34---H34 0.9500 W2---S8 2.1470 (13) ...
395
4,265
449
297
null
null
github_plus_top10pct_by_avg
der 2) defines the transformation of the space by the following formula: $b_z(f_1)=f_2$, $b_z(f_2)=f_1$, $b_z(f_3)=f_4$, $b_z(f_4)=f_3$. Obviously, the restriction of the epimorphism $\omega: \Z/2 \int \D_4 \to \Z/2$ to the subgroups $\I_{2,x}, \I_{2,y} \subset \Z/2 \int \D_4$ is trivial and the restriction of this ho...
396
552
701
450
null
null
github_plus_top10pct_by_avg
Magnesium (g) 0.17 0.05 Sodium (g) 1.0 0.3 Potassium (g) 2.8 0.8 Chloride (g) 3.0 0.9 Iron (mg) 57.0 17.0 Copper (mg...
397
4,914
312
198
null
null
github_plus_top10pct_by_avg
square root (\[eq:squareroot\]) can be written in the form $$c_1^{\rm rep}({\cal E}) \: \equiv \: c_1^{\rm rep}(T \mathfrak{X}) \mbox{ mod } 2$$ applying the Chern-rep’s discussed in sections \[sect:possible-anomcanc\] and appendix \[app:chern-reps\]. We will leave such an interpretation to future work. Spectrum resul...
398
720
540
443
3,806
0.769995
github_plus_top10pct_by_avg
of the tensor $B$ at the first non-trivial order in $f^2$ : $$\begin{aligned} {B^{ac}}_{ed} &=& -i \frac{g}{2(c_++c_-)} ({f^c}_{eg} {f^{ag}}_d (-1)^{ed} + {f^c}_{dg} {f^{ag}}_e) + O(f^4). \end{aligned}$$ 5\. A similar analysis for the other two first-order poles proportional respectively to $1/( z - w)$ and $( ...
399
2,726
628
404
null
null
github_plus_top10pct_by_avg
\kappa^{ca}j^b_{L,z}(w) + \delta_{\bar n,0} \frac{n!}{(x-w)^{n+3}} c_1 c_2 {f^{cab}} + \frac{c_1 \kappa^{cb} \p^n \bar \p ^{\bar n} j^a_{L,z}(w)}{(x-w)^2}+ ... \end{aligned}$$ Resumming the series, we get: $$\begin{aligned} :j^a_{L,z}(z) & j^b_{L,z}(w): j^c_{L,z}(x) = \sum_{n,\bar n=0}^{\infty} \frac{(z-w)^n }{n !...
400
1,691
824
453
null
null
github_plus_top10pct_by_avg