text large_stringlengths 384 2.05k | rank_avg float64 1 4.19k ⌀ | rank_max float64 1 8.21k ⌀ | rank_min float64 1 5.03k ⌀ | rank_median float64 1 4.21k ⌀ | rank_by_avgsim float64 1 4.19k ⌀ | avgsim_to_github float32 0.77 0.85 ⌀ | dataset large_stringclasses 1
value |
|---|---|---|---|---|---|---|---|
al length should be $2\sqrt{2}\pi$.
Q:
Limit a date in input type date
I would like to limit the date so that the user does not have to select a date of less than one year, but I wish that it is done automatically compared to the date of the system. If anyone has ideas I'm grateful.
A:
You can get the current da... | 401 | 2,968 | 551 | 163 | 52 | 0.831045 | github_plus_top10pct_by_avg |
}{75}(-\frac{45}{13}m^2r^2+\frac{45}{13}(\alpha^2r^2-\frac{1}{18})e^2rm+e^4)ra^2 \nonumber\\
&+\frac{7}{25}e^4r^5\alpha^2)\alpha a^2r^2\cos^4(\theta)-180a^2(a^4m^2r^2\alpha^2+((\frac{71}{45}\alpha^2r^4-r^2)m^2-\frac{1}{18}e^2r(\alpha^2r^2-20)m-\frac{13}{45}e^4)a^2-\frac{7}{30}e^2\alpha^2r^4 \nonumber\\
&(e^2-\frac{1... | 402 | 1,130 | 638 | 496 | null | null | github_plus_top10pct_by_avg |
)
C27---H27 0.9500 N2---C80 1.481 (7)
C28---C29 1.392 (7) C79---H79 0.9500
C28---H28 0.9500 C80---H80A 0.9800
C29---C30 1.401 (7) C80---H80B 0.9800
C29---H29 0.9500 C80---H80C 0.9800
... | 403 | 5,222 | 469 | 199 | null | null | github_plus_top10pct_by_avg |
t.$$
in $\mathcal{R}(\mu_{\nu})$ to be eventually in every neighbourhood of $g$ in the sense that $\lim_{n\rightarrow\infty}\int_{-1}^{1}\mid g-g_{n}\mid=0$.
\(b) *The inverse $(\mu-\nu)^{-1}$ exists but is not continuous.* The inverse exists because, as noted earlier, $0$ is the only functional solution of Eq. (\[Eq... | 404 | 579 | 1,041 | 459 | null | null | github_plus_top10pct_by_avg |
he last component, we define $$\label{def_cyclic_compos}
\alpha\circ_{m+1} \beta:=\tau_{n+m} (\tau^{-1}_{m+1}(\alpha)\circ_m
\beta)\stackrel{\eqref{compos_cyclic3}}{=} \tau_{n+1}(\beta) \circ_1
\alpha$$ $$\begin{pspicture}(1,1.6)(10.5,5.6)
\psline[linestyle=dashed](2,2)(1.2,2.9)
\psline(2,2)(1.6,2.9)
\psline(2,2)(2,... | 405 | 458 | 452 | 492 | null | null | github_plus_top10pct_by_avg |
60
Zhao et al[@b15-ott-10-5355] 2016 HNF1A-AS1 43 OS 60
Li et al[@b28-ott-10-5355] 2015 HOTTIP 68 OS 60
Sun et al[@b17-ott-10-5355] 2015 HULC 78 OS 60
Tian et al[@... | 406 | 3,286 | 497 | 287 | null | null | github_plus_top10pct_by_avg |
phi^{(0)}_{m,n}\big)^2 \phi^{(0)}_{m+1,n} \phi^{(1)}_{m-1,n} \big(\phi^{(1)}_{m,n}\big)^2 \phi^{(1)}_{m+1,n} \phi^{(2)}_{m-1,n} \phi^{(2)}_{m,n} \phi^{(2)}_{m+1,n},\\
P^{(3)}_{m,n} = 2 + 2 P^{(0)}_{m,n} + 2 P^{(1)}_{m,n}+ P^{(2)}_{m,n}.
\end{gathered}$$
Miura transformations and relation to Bogoyavlensky latti... | 407 | 212 | 616 | 506 | 3,001 | 0.775512 | github_plus_top10pct_by_avg |
----- --------------------------------- ----------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------... | 408 | 2,006 | 1,436 | 446 | null | null | github_plus_top10pct_by_avg |
^s$ and $\mu$ be non-zero partitions such that up to permutation of the parts of each $\nu^p$ we have $\sum_{p=1}^s\nu^p=\mu.$ Then $$\sum_{p=1}^s \nrm_\mu(\nu^p)\leq \nrm_\mu(\mu).$$ Equality holds if and only if:
\(i) $s=1$ and $\mu=\nu^1$.
or
\(ii) $\nu^1,\ldots,\nu^s$ and $\mu$ all are rectangular of the same le... | 409 | 1,024 | 417 | 458 | null | null | github_plus_top10pct_by_avg |
ntial of metric tensor
As I understand so far, the metric tensor of a Riemannian manifold is an $n \times n$ matrix in many specific examples. As such it could formally be the curl of some vector potential or just the derivative.
I wonder if this is indeed possible and if yes, if it is interesting or really just a for... | 410 | 189 | 238 | 253 | 435 | 0.809832 | github_plus_top10pct_by_avg |
um state $| 0_{\text{in}}\rangle$ is determined by $\hat{a}_{\text{k}}| 0_{\text{in}}\rangle = 0$, where $\hat{a}_{\text{k}}$ is the initial annihilation operator for $\tau_i$. The relation between annihilation and creation operators for the initial and final states is given by the Bogoliubov transformation $$\begin{al... | 411 | 2,250 | 635 | 461 | null | null | github_plus_top10pct_by_avg |
lements of $\cH$ share a common element, while Chvátal [@Chva] handled the case for which the maximal sets of $\cH$ can be partitioned into two sunflowers (see definition below), each with core size 1. In [@Chva] is also found the case for compressed $\cH$; Snevily [@Snev] strengthened this to $\cH$ being merely compre... | 412 | 1,186 | 759 | 455 | null | null | github_plus_top10pct_by_avg |
case, we define $\rho_{{\mbox{\boldmath $\alpha$}}}(s_i)$ to be $$\rho_{{\mbox{\boldmath $\alpha$}}}(s_i)\ :\ v_{P}
\longmapsto a_d v_{P}.$$ Here $a_d$ is the one defined by .
Suppose that a tableau $p_1$ of $\mathbb{T}({\mbox{\boldmath $\alpha$}})$ goes through $\widetilde{\emptyset}$, $\widetilde{{\mbox{\tiny\yn... | 413 | 1,196 | 413 | 489 | 2,117 | 0.782594 | github_plus_top10pct_by_avg |
{f}}_0 &= (\psi_0, \phi_0) =
([{\mathit{f}}(\psi) \xi_0], [(\ell(\Delta(\lambda, \psi)))({\mathit{f}}(\psi) \xi_0)]([{\mathit{f}}(\psi) \xi_0])).\end{aligned}$$
Due to conjointness, $\psi_0 = {\mathit{f}}(\psi) \xi_0 = \phi_0 \xi_0$ throughout: $$\begin{aligned}
\lambda_0 &= \Delta(\lambda, \psi),\\
{... | 414 | 3,475 | 562 | 353 | null | null | github_plus_top10pct_by_avg |
$ is of type II}\},\end{gathered}$$ which finishes the proof.
\[la9\] Let $F_j$ be the closed subgroup scheme of $\tilde{G}$ defined by the following equations:
- $m_{i,k}=0$ *if $i\neq k$*;
- $m_{i,i}=\mathrm{id}, z_i^{\ast}=0, m_{i,i}^{\ast}=0, m_{i,i}^{\ast\ast}=0$ *if $i\neq j$*;
- and for $m_{j,j}$, $$\l... | 415 | 2,979 | 390 | 322 | null | null | github_plus_top10pct_by_avg |
mits a reduction to an $\I_b$-framing) of the normal bundle for the immersion $g$ of $N^{n-2k}$ into $\R^n$.
Therefore the characteristic number, given by the formula (8) in the case when the $\Z/2 \int \D_4$ framing over $L^{n-4k}$ is reduced to an $\I_4$-framing, coincides with the characteristic number, given by th... | 416 | 76 | 451 | 481 | 3,844 | 0.769725 | github_plus_top10pct_by_avg |
line{N},L)$ is integer-similar to $count(\underline{M},\underline{N},L)$
- $count(\underline{M},\underline{N},L)$ is not integer-similar to $count(\underline{M}+1,\underline{N},L)$
Note that the last one is a counterexample because $count(\underline{M}+1,\underline{N},L)$ has integer expressions on $[1,1]$ and $[1,... | 417 | 2,433 | 864 | 483 | 517 | 0.807314 | github_plus_top10pct_by_avg |
ar performance, except for the Spearman’s footrule. The proposed data-driven rank-breaking achieves a slightly worse correlation compared to other approaches. However, note that none of the algorithms are necessarily maximizing the Kendall correlation, and are not expected to be particularly good in this metric.
[ C[2... | 418 | 85 | 1,118 | 522 | 2,527 | 0.779168 | github_plus_top10pct_by_avg |
thcal{S}_{\vdash E(x)}=\mathcal{S}_{E}$ associated to $\vdash E(x)$ by the function $f$ (Sec. 3.2). Yet, whenever $\pi _{S}$ is recursively defined on the whole $\psi _{A}^{Q}$, new subsets of states are introduced (as $\mathcal{S}_{\delta _{1}}\cup \mathcal{S}_{\delta _{2}}$) which do not necessarily belong to $\mathc... | 419 | 962 | 607 | 498 | null | null | github_plus_top10pct_by_avg |
inequality, and follows from Lemma \[l:M\_is\_regular\] and Lemma \[l:eldan-matrix\].
\[l:eldan-matrix\] Let $A$, $B$ be positive definite matrices. Then $$\begin{aligned}
\tr\lrp{\lrp{\sqrt{A} - \sqrt{B}}^2} \leq \tr\lrp{(A-B)^2 A^{-1}}
\end{aligned}$$
[Defining $f$ and related inequalities]... | 420 | 2,282 | 419 | 451 | null | null | github_plus_top10pct_by_avg |
[Figure 2](#fig2-0192513X17710773){ref-type="fig"}, both paths are significant. First, as posited in Hypothesis 2, transnational parents report to be less happy than nontransnational parents. Second, although transnational parenting is significantly associated with family-to-work conflict as postulated in Hypothesis 1... | 421 | 143 | 844 | 580 | null | null | github_plus_top10pct_by_avg |
i, i-1}+\delta_{i+1}v_{i+1}\cdot {}^tm_{i, i+1} = \pi m_{i,i}^{\ast\ast}$$ such that $ m_{i,i}^{\ast\ast} \in M_{1\times n_i}(B\otimes_AR)$. This equation is considered in $B\otimes_AR$ and $\pi$ stands for $\pi\otimes 1\in B\otimes_AR$. Here, $v_{i-1}$ (resp. $v_{i+1}$)$=(0,\cdots, 0, 1)$ of size $1\times n_{i-1}$ (re... | 422 | 2,335 | 778 | 466 | 3,396 | 0.772697 | github_plus_top10pct_by_avg |
0.678 65.4 66.7 0.036
A β~**1**\ --\ **42**~/A β~**1**\ --\ **40**~ \<0.095 85.2 79.3 0.857 79.3 85.2 0.001
t-Tau/A β~**1**\ --\ **42**~ \>0.298 77.8 82.8 0.85... | 423 | 131 | 768 | 672 | null | null | github_plus_top10pct_by_avg |
26.0 ± 6.0 29.7 ± 5.3^§^ 24.8 ± 5.9 24.1 ± 6.5^†^
Trunk fat% 13.4 ± 3.1 15.3 ± 2.7^§^ 12.8 ± 3.0 12.4 ± 3.4^†^
Muscle% 68.2 ± 5.9 64.6 ± 5.2^§^ 69.4 ± 5.9 70.2 ± 6.4^†^
Leg-muscle% 12.6 ± 1.1 11.... | 424 | 775 | 1,116 | 568 | null | null | github_plus_top10pct_by_avg |
. . In , , & (Eds.), [**]{} (pp. ). : volume . (). . , [**]{}, . , & (). In , & (Eds.), [**]{} (pp. ). , & (). . , [ ** ]{}, . , , , , , , , , , & (). . , [ ** ]{}, . , , , , & (). . , [**]{}, . , & (). . In [**]{} (pp. ). volume . , & (). . , [ ** ]{}, . (). . , [ ** ]{}, . , , & (). . , [**]{}, . , & (). . , [**]{}, ... | 425 | 13 | 1,483 | 504 | null | null | github_plus_top10pct_by_avg |
varepsilon),(r_1,r_2),(r_1r_5,r_2r_6),(r_1r_6,r_2r_5),(r_2,r_1), (r_2r_7,r_1r_8),(r_2r_7r_9,r_1r_8r_{10})\}.$$ (See figures \[figure\_stratST\]-\[figure\_stratSR\]).\
Subsequently: $$\begin{aligned}
S_1 & := &\{(\varepsilon,\varepsilon),(r_5,r_6),(r_6,r_5)\}\\
S_2 & := &\{(\varepsilon,\varepsilon)\}\\
S_3 & := &\{ (\va... | 426 | 123 | 547 | 519 | 2,160 | 0.782147 | github_plus_top10pct_by_avg |
0.5567 0.3044 0.043\*
C78 0.8173 (3) 0.6276 (4) 0.2097 (2) 0.0303 (12)
H78A 0.7921 0.6525 0.1773 0.045\*
H78B 0.8199 0.5581 0.2078 0.045\*
H78C 0.8583 0.... | 427 | 4,069 | 207 | 256 | null | null | github_plus_top10pct_by_avg |
ed haplotype frequency analysis for 2-SNP, 3-SNP, and 4-SNP windows showing the most significant results among all possible sliding windows
**HCV-1**
--------------------------------------------------------- ------------- -------... | 428 | 4,728 | 252 | 187 | null | null | github_plus_top10pct_by_avg |
R}}$ a root system of type ${\mathcal{C}}$. We say that ${\mathcal{R}}$ is *finite*, if $R^a$ is finite for all $a\in A$. The following lemmata are well-known for traditional root systems.
[@p-CH08 Lemma 2.11] Let ${\mathcal{C}}$ be a connected Cartan scheme and ${\mathcal{R}}$ a root system of type ${\mathcal{C}}$. T... | 429 | 861 | 532 | 484 | 4,031 | 0.768553 | github_plus_top10pct_by_avg |
}-\sqrt{2{\sigma^2_{R_\psi}}}\mathrm{erf}^{-1}\left(1-2\epsilon\right),$$ respectively, where $F_{R_\psi}^{-1}(x)$ denotes the approximated inverse cdf of $R_{\psi}$.
Substituting and into completes the proof.
Proof of Corollary \[Cor:outGlsngrO\] {#App:proofCor:outGlsngrO}
=====================================
As $... | 430 | 284 | 917 | 571 | null | null | github_plus_top10pct_by_avg |
he teams participating in this competition were provided with two datasets for training and testing phases, respectively. After training their designed ML frameworks, the teams were allowed to produce a prediction label list for the test samples, and to submit those predictions to the competition platform under a limit... | 431 | 1,220 | 1,898 | 500 | null | null | github_plus_top10pct_by_avg |
--------------------------------------------------
Coming back to the general language $\mathcal{L}^{P}$, we remind that a notion of pragmatic validity (invalidity) is introduced in it by means of the following definition.
*Let* $\delta \in \psi _{A}$*. Then,* $\delta $* is* pragmatically valid*, or* p-valid* (*pragm... | 432 | 1,524 | 1,184 | 465 | 3,748 | 0.770362 | github_plus_top10pct_by_avg |
pes that the program can execute along with the probabilities they will occur. One can easily envision its extension to smaller program units.
### Extended operational profile {#S:EXTENDED_OP_PROFILE}
We shall extend run types into steps, the elementary quantum of automata. This detaches the operational profile conce... | 433 | 2,656 | 1,798 | 566 | 640 | 0.803516 | github_plus_top10pct_by_avg |
not, while the continuous and residual spectra together comprise the boundary spectrum. Thus a $\lambda$ can be both in the point and the continuous or residual spectra which need not be disjoint. The continuous and residual spectra are included in the boundary spectrum which may also contain parts of the point spectr... | 434 | 3,263 | 1,097 | 389 | null | null | github_plus_top10pct_by_avg |
0.0981 2.26 (0.85, 6.02)
**rs6603797** **rs6603797**
**Males** **Males**
C/C ... | 435 | 4,829 | 290 | 155 | null | null | github_plus_top10pct_by_avg |
$\left\langle n\right|\hat{\Omega}_{m}^+\left|n'\right\rangle$ simply by increasing the Lamb-Dicke parameter. The quantum Rabi frequencies become an oscillating function of $n$ due to the presence of the Laguerre polynomials in Eq. (\[Omegme\]). These oscillations can strongly influence the system dynamics as thoroughl... | 436 | 2,957 | 612 | 429 | null | null | github_plus_top10pct_by_avg |
Count
-------------------------------------------------------------------------------- -----------------------------------------------
$\overline{\partial} X^{1-2}_{-1} \otimes \left( \psi^{1-2}_{-1/2}, gravity, tensor multiplet contributions
... | 437 | 4,018 | 319 | 282 | null | null | github_plus_top10pct_by_avg |
egin{aligned}
{\rm Observable} &: &~~~~SU(4) \times SU(2)_L
\times U(1)_R \times{U(1)}^3 \nonumber\\
{\rm Hidden} &: &~~~~SU(2)_A \times U(1)_A \times SU(2)_B
\times U(1)_B \times SU(2)_C \times U(1)_C
\times SO(4)_2 \nonumber\end{aligned... | 438 | 2,687 | 502 | 394 | null | null | github_plus_top10pct_by_avg |
0.40 \[-0.66, 1.46\] 0.46
FES -- Social orientation^2^ -0.31 \[-0.62, 0.01\] 0.06 ... | 439 | 4,770 | 822 | 301 | null | null | github_plus_top10pct_by_avg |
tions \[setth\] and \[typeVcomps\] contain the successive reductions bringing a given germ $\alpha(t)$ centered at a point of ${{\mathscr S}}$ into one of the forms given in §\[germlist\], or establishing that it does not contribute a component of the PNC. This analysis will conclude the proof of Theorem \[mainmain\].
... | 440 | 327 | 774 | 530 | 1,575 | 0.788083 | github_plus_top10pct_by_avg |
delta_{i+2}'(m_{i+2, i}^{\#})^2\right)+
\left(\delta_{i-3}(m_{i-3, i}^{\natural})^2+\delta_{i+3}(m_{i+3, i}^{\natural})^2\right).
\end{array} \right.$$ Here, $\mathcal{P}^i_{1, 2}, \mathcal{P}^i_{2, 3}$ are suitable polynomials with variables in the entries of $m_{i-1, i}, m_{i+1, i}$ and
- $m_{i\pm ... | 441 | 3,519 | 447 | 309 | 2,626 | 0.778316 | github_plus_top10pct_by_avg |
X_H,\nu)$, given in , on the set $X_H$ of cosets with respect to $H$. We may thus assume that $(X,\mu)=(X_H,\nu)$.
Assume that $(X_H,\nu)$ is an $S$-torsor. We show that $H=E(H)^{\uparrow}$. It is enough to verify that $H\subseteq E(H)^{\uparrow}$. Let $s\in H$. Since $(X_H,\nu)$ is free, the equalities $$s\cdot x = {... | 442 | 1,467 | 478 | 474 | 4,142 | 0.767811 | github_plus_top10pct_by_avg |
{\hat{T}}^{\chi }_{p,\Lambda }=\ker {\hat{T}}^{\chi ,-}_{p,\Lambda }
= & \, U^-(\chi )F_p{\otimes }{\mathbb{K}}_{{t}_p^\chi (\Lambda )},\\
{\operatorname{Im}}{\hat{T}}^{\chi }_{p,\Lambda }={\operatorname{Im}}{\hat{T}}^{\chi ,-}_{p,\Lambda }
= & \, U^-(\chi )F_p^{{b}-1} {\otimes }{\mathbb{K}}_\Lambda .
\en... | 443 | 1,484 | 471 | 524 | null | null | github_plus_top10pct_by_avg |
patial three-cycles (in the simplest scenario), since the theory admits no D0-branes. For the time being, we work in the type-IIA framework, returning later to the type-IIB version of D-foam phenomenology.
![*Left: schematic representation of a generic D-particle space-time foam model, in which matter particles are tr... | 444 | 176 | 1,412 | 333 | null | null | github_plus_top10pct_by_avg |
parators ]{}
Figure \[fig:sushi\_10\_ken\] illustrates the Kendall rank correlation of the rankings estimated by the two algorithms and the ground truth. Larger value indicates that the estimate is closer to the ground truth, and the data-driven rank-breaking outperforms the state-of-the-art GMM approach.
![The data-... | 445 | 99 | 216 | 442 | 986 | 0.796302 | github_plus_top10pct_by_avg |
-\frac{1}{\sqrt{2}} & 0 & 0\\
0 & 0 & 0 & 0 & 0 & \frac{1}{\sqrt{2}} & 0 & -\frac{1}{\sqrt{2}} & 0\\
0 & \frac{1}{\sqrt{3}} & 0 & \frac{1}{\sqrt{3}} & \frac{1}{\sqrt{6}} & 0 & 0 & 0 & -\frac{1}{\sqrt{6}}\\
0 & 0 & \frac{1}{\sqrt{3}} & 0 & 0 & -\frac{1}{\sqrt{6}} & \frac{1}{\sqrt{3}} & -\frac{1}{\sqrt{6}} & 0\\
\fr... | 446 | 585 | 751 | 543 | null | null | github_plus_top10pct_by_avg |
$. A subject is an active entity which operates on segments of a GWV partition. The extended GWV policy is as follows.
$$\label{eq:gwv_pikeos}
\begin{aligned}
& current(st1) = current(st2) \; \wedge \\
& currentsubject(st1) = currentsubject(st2) \; \wedge \\
& select(seg,st1) = select(seg,st2) \; \wedge \\
& selectlis... | 447 | 287 | 1,958 | 636 | 1,487 | 0.788932 | github_plus_top10pct_by_avg |
:
$$\label{eq:pks}
P_{KS}(i,j)=\frac{A(i,j)}{\lambda}\frac{\Psi_j}{\Psi_i}.$$
We have $ \forall i$ $ \sum_j P_{KS}(i,j) =1$. Moreover, using the fact that $A$ is symmetric we find:
$$\label{eq:sta}
\sum_j P_{KS}(j,i)\Psi^2_j=\sum_j \frac{A(j,i)\Psi_i\Psi_j}{\lambda}=\Psi^2_i.$$
Hence, $P_{KS}^t \Psi^2=\Psi^2$ and t... | 448 | 599 | 508 | 573 | 3,933 | 0.769197 | github_plus_top10pct_by_avg |
o Hive, Can anybody please help me with the below Error I receive when trying to create the following table:
hive> create table Employees(
> name String,
> salary float,
> subordinates array<string>,
> deductions map<string,float>,
> address struct<street:string,city:string,state:string>)
> row ... | 449 | 324 | 76 | 351 | 325 | 0.813363 | github_plus_top10pct_by_avg |
in this section is to investigate the response of an spatially extended detector, working in its co-moving frame and coupled to the Minkowski vacuum state of the scalar field, following De Bievre and Merkli [@DeBievre:2006pys]. We consider the corresponding centre of mass, with co-ordinates $(x_0(\tau))$, of the detect... | 450 | 2,817 | 605 | 477 | 3,752 | 0.770324 | github_plus_top10pct_by_avg |
m:cramer\_rao\_position\_p\] {#sec:proof_cramer_rao_position_p}
-------------------------------------------------
Let $H(\theta) \in \mathcal{S}^d$ be Hessian matrix such that $H_{i\i}(\theta) = \frac{\partial^2\L(\theta)}{\partial\theta_i \partial \theta_{\i}}$. The Fisher information matrix is defined as $I(\theta) ... | 451 | 967 | 536 | 508 | null | null | github_plus_top10pct_by_avg |
= -( + )which we can finally rewrite in the expected form: T(w) j\^a\_[L,z]{}(z) = :j\^[|b]{}\_[R,z]{}j\^[|c]{}\_[R,z]{}:(w)\_[|b |c]{} j\^a\_[L,z]{}(z) = + , thus completing our consistency check.
The associativity of the current algebra {#associativity}
----------------------------------------
In this appendix we ... | 452 | 404 | 816 | 596 | 3,741 | 0.770399 | github_plus_top10pct_by_avg |
$(-,-)$ -1/3 -1/3
$\left( \, \textbf{4} \, , \textbf{1} , \, +1 \, \right)$ $(-,-,-)$ $(-,-)$ -1 -1
Here $``+"$ and $``-"$, label the contribution of an oscillator with fermion number $F = 0$ or $F = -1$, to the degenerate vacuum. These states co... | 453 | 935 | 811 | 578 | 2,470 | 0.77949 | github_plus_top10pct_by_avg |
Meier biochemical recurrence free survival curves. Number of AA patients in BCR curves with deletion (red) or without deletion (blue) is marked above the X-axis.](gr3){#f0015}
######
Patient-specific features included in the study (patient number: GP02-18; Race: African American: AA, Caucasian American: CA; prostate... | 454 | 3,507 | 386 | 367 | null | null | github_plus_top10pct_by_avg |
person in the office with access to InDesign, so I need our templates to be editable outside of InDesign, while retaining formatting. What I'm running into is that when I export to PDF, they are text-editable, but the PDF is treating text objects on separate pages as unlinked, even if they're linked in ID. So, for exa... | 455 | 506 | 219 | 463 | 121 | 0.824253 | github_plus_top10pct_by_avg |
42& 0.33 & 0.09 & 0.28 & 0.71 & 0.09 \\
& &(24,\ 0) & & 0.84 & 1.30 & 0.83 & 1.11 & 0.82 \\
& &(24,\ 4) & & 1.27 & 1.31 & 1.27 & 1.30 & 1.26 \\
& &(24,\ 8) & & 1.32 & 1.33 & 1.33 & 1.34 & 1.32 \\
& &(24, 12) & & 1.35 & 1.34 & 1.35 & 1.36 & 1.35 \\
& &(24, 24) & & 1.39 & 1.36 & 1.... | 456 | 453 | 1,193 | 599 | null | null | github_plus_top10pct_by_avg |
{\sigma }_{i_{\nu +2-n}}\cdots {\sigma }_{i_{\nu -1}}({\alpha })>0$. Clearly, this has to be a simple root. Let $i_\nu \in I$ such that ${\alpha }=\al
_{i_\nu }$. Then the first claim follows from [@a-HeckYam08 Cor.3]. By Eq. for $\nu -1$ and by [@a-HeckYam08 Cor.3] we get $1_{r_{i_{\nu -n-1}}\cdots r_{i_2}r_{i_1}(\... | 457 | 707 | 478 | 501 | null | null | github_plus_top10pct_by_avg |
to $z=0$. If $b=c$, then necessarily $s=0$: $$\alpha(t)=\begin{pmatrix}
1 & 0 & 0 \\
t^a & t^b & 0 \\
r(t) & 0 & t^b
\end{pmatrix}\quad,$$ and further $a<v(r)$ (cf. Lemma \[faber\]). The reader can verify that the limits of the branches collected in $G$ are supported on the kernel line $x=0$. The limit of each (formal)... | 458 | 942 | 575 | 529 | 2,190 | 0.781915 | github_plus_top10pct_by_avg |
weight will be less than $c$ (causing the limit to be a $(0:0:1)$-star) if $c>2b+v(f''(t^a))=2b+a(\lambda_0-2)$. The stated condition follows at once, completing the proof of Proposition \[standardform\].
Characterization of type V germs {#charaV}
--------------------------------
In the following, we will replace $t$... | 459 | 2,509 | 914 | 432 | 2,358 | 0.780583 | github_plus_top10pct_by_avg |
=======================================================================
The general second order differentiation $\mathcal{D}^{(m,h)}$ on the ten unknown $C$-functions, denoted as $\mathcal{D}^{(m,h)}_{AB}[\mathbf{C}(u)]$, can be written compactly by putting all $C$-functions together to form a vector $\mathbf{C}(u)$,... | 460 | 2,479 | 509 | 525 | 4,087 | 0.768183 | github_plus_top10pct_by_avg |
verb15]. The formal API specification covers the IPC, memory, file provider, port, and event, etc.
Formal Verification of Separation Kernels
-----------------------------------------
As introduced in [[[Section]{}]{}]{} \[sec:bg\], the typical properties of separation kernels are data separation, information flow sec... | 461 | 2,065 | 966 | 518 | null | null | github_plus_top10pct_by_avg |
rings and dress induction theorem. , 80(1):90–105, 1983.
A. [Z]{}immermann. . , 73(1):15–17, 1999.
[Baptiste Rognerud\
EPFL / SB / MATHGEOM / CTG\
Station 8\
CH-1015 Lausanne\
Switzerland\
e-mail: baptiste.rognerud@epfl.ch]{}
---
author:
-
-
-
bibliography:
- '../bibliography.bib'
title: 'Generating Optimal Pri... | 462 | 185 | 571 | 464 | 2,338 | 0.780747 | github_plus_top10pct_by_avg |
MBE equation with $\lambda>0$ [@Xun; @Luis2019; @Luis2017], for which $\beta\approx 1/3$ and $1/5$ in $d=1$ and $d=2$, respectively[^1], while crossovers to the Edwards-Wilkinson universality class with $\beta=1/4$ in $d=1$ and $\beta=0$ (logarithmic growth) in $d=2$ are expected for the WV model [@wvbogo; @Vvedensky].... | 463 | 886 | 1,375 | 615 | 1,162 | 0.793319 | github_plus_top10pct_by_avg |
A1c ( % ) (DM only) 7.1 ± 1.5 6.6 ±1.1 6.0 ± 0.4 6.0 ± 0.6
Total cholesterol (mg/dL) 175.3 ± 33.2 161.5 ± 47.9 147.9 ± 26.5 142.5 ± 28.0
HDL (mg/dL) 54.0 ± 15.3 53.6 ± 15.1 5... | 464 | 3,765 | 582 | 242 | null | null | github_plus_top10pct_by_avg |
me beyond numerical tolerance. With this in mind, it is interesting to see which features are found when the quantum-classical theory of Refs. [@qc-bracket; @kcmqc] is mapped onto a scheme of motion where phase space dependent wave fields, instead of operators, are used to represent the dynamics.
As it is well known [... | 465 | 690 | 1,115 | 631 | 3,320 | 0.773173 | github_plus_top10pct_by_avg |
^ = 233.99 (between trial variation in β)
\(viii\) σ ^2^ = 333.74 (residual variance)
**A1** Same as base case, except changed (i) K = 5
**A2** Same as base case, exce... | 466 | 5,283 | 431 | 190 | null | null | github_plus_top10pct_by_avg |
indicated in the legend.\[xi\]](xi_wvdt_2d.pdf "fig:"){width="0.8\linewidth"}
In addition, as can be seen in Fig. \[xi\], the characteristic lateral lengths of simulations with kinetic barrier saturate after an initial transient in values that increase with the parameter $N_s$ while the models without barrier present ... | 467 | 55 | 788 | 548 | 669 | 0.802742 | github_plus_top10pct_by_avg |
l{L}_{Q}^{P}$
-------------------------------------------------------
The notion of justification introduced in Sec. 3.2 is basic in our approach and must be clearly understood. So we devote this section to comments on it.
Whenever an elementary af $\vdash E(x)$ of $\mathcal{L}_{Q}^{P}$ is considered, the notion of j... | 468 | 1,047 | 1,155 | 560 | 1,909 | 0.784494 | github_plus_top10pct_by_avg |
ed a nonprincipal ultrafilter.
[^2]: Our terminology should not be confused with that of a hypergraph—an entirely different concept [@be].
[^3]: If $G$ were a finite graph, then every hypernode (resp. hyperbranch) could be identified with a node (resp. branch)in $G$, and $^{*}\!G$ would be identified with $G$.
[^4]:... | 469 | 1,096 | 2,081 | 651 | null | null | github_plus_top10pct_by_avg |
scription of an element of $\underline{M}(R)$. Note that $$\left \{ \begin{array}{l}
\delta_{i-1}v_{i-1}\cdot (m_{i-1, i}m_{i,i}')+\delta_{i+1}v_{i+1}\cdot (m_{i+1, i}m_{i,i}')=\pi m_{i,i}^{\ast}\cdot m_{i,i}';\\
\delta_{i-1}v_{i-1}\cdot (m_{i-1, i-1}m_{i-1,i}')+\delta_{i+1}v_{i+1}\cdot (m_{i+1, i+1}m_{i+1,i}'... | 470 | 3,352 | 714 | 369 | null | null | github_plus_top10pct_by_avg |
X/I(Z)$ as an ${{\mathcal O}}_V$-module then $r_i\in {{\mathcal O}}_X$ and $I(Z)$ generate ${{\mathcal O}}_X$ as a $q^{-1}({{\mathcal O}}_V)$-module. Since $I(Z)\subset q^{-1}(S)$, we obtain that $r_i\in {{\mathcal O}}_X$ and $1\in {{\mathcal O}}_X$ generate ${{\mathcal O}}_X$ as a $q^{-1}(S)$-module. Applying (\[eak-n... | 471 | 1,150 | 558 | 478 | 2,334 | 0.780794 | github_plus_top10pct_by_avg |
�Yes 312 85 (27.2)
No 227 (72.8)
Secondhand smoke exposure
No 225 (70.3)
In-house ... | 472 | 4,269 | 391 | 153 | null | null | github_plus_top10pct_by_avg |
closed. I cannot change any code on the PLC.
But when I stop the VisualStudio debugger (Shift+F5) while the connection is active, it is closed correctly. What is VisualStudio doing differently?
Edit:
These 2 lines are captured by wireshark additionally when I stop the program by Shift+F5
Edit 2:
I have a thread that ... | 473 | 15 | 337 | 445 | 726 | 0.801328 | github_plus_top10pct_by_avg |
llowing two formal equations: $$\left\{
\begin{array}{l}
(\tilde{z}_i)_1+ \delta_{i-2}(\tilde{k}_{i-2, i})_1+\delta_{i+2}(\tilde{k}_{i+2, i})_1=2 (\tilde{z}_i^{\ast})_2;\\
(\tilde{z}_i)_2+ \delta_{i-2}(\tilde{k}_{i-2, i})_2+\delta_{i+2}(\tilde{k}_{i+2, i})_2= (\tilde{z}_i^{\ast})_1.
\end{array... | 474 | 858 | 613 | 507 | null | null | github_plus_top10pct_by_avg |
lative to the plane, that is above the plane.
What I tried was taking a simple two dimensional matrix:
a =
1 1 1
1 1 1
and tried replacing the ones in the second column with zeros, which I did by typing a(:,2)=0, and matlab gave me
a =
1 0 1
1 0 1
I then tried to... | 475 | 6,335 | 105 | 123 | 1,166 | 0.793306 | github_plus_top10pct_by_avg |
and *uidA* integration. Sample sizes used exceeded the minimum required to statistically represent the population at 95% confidence with an acquired precision error of ≤3%. The PMTF frequencies obtained from analyzing GUS expression in seedlings were 2.86% in 2005 and 1.39% in 2006 ([Table 3](#pone-0025810-t003){ref-ty... | 476 | 288 | 1,703 | 703 | null | null | github_plus_top10pct_by_avg |
bel{13}
\pi b_i'=-\pi^2 \cdot{}^tv_i'+\pi^2\cdot a_iy_i'.$$ By letting $b_i'=b_i=0$, we have $$-\pi \cdot{}^tv_i'+\pi \cdot a_iy_i'=0$$ as an equation in $B\otimes_AR$. Thus there are exactly $(n_i-1)$ independent linear equations among the entries of $v_i'$ and $y_i'$ and the entries of $v_i'$ determine all en... | 477 | 2,248 | 549 | 486 | null | null | github_plus_top10pct_by_avg |
* = 23; 50% of CU participants). Itch-related sleep disturbances were regarded by 18 patients (39% of the group). Ten of them reported more than 3 awakenings during one night.
The quality of life results (expressed as converted scores) are presented in [Table 1](#t0001){ref-type="table"}. Of note, subscales itching an... | 478 | 859 | 662 | 579 | null | null | github_plus_top10pct_by_avg |
j-k_j+1},$ $L_{j-k_j-1},$ $L_{j-k_j-2},$ $L_{j-k_j-3}$) are *of type II* if $j-k_j$ is even (resp. odd).
We denote $\mathcal{X}_{i,2,2}-\bar{\gamma}_i$ by $\mathcal{F}_{i}$ when $i$ is odd and $L_i$ is *free of type I* (cf. Equation (\[24’\])), and denote $\mathcal{X}_{i,2,2}$ by $\mathcal{E}_{i}$ when $i$ is even... | 479 | 3,391 | 734 | 378 | null | null | github_plus_top10pct_by_avg |
.33 −32.61
**B2‐A2** −36.66 −4.98 −14.36 −5.39 −50.99 −4.84 −12.86 −5.35
**B3** −100.00 −28.68 ... | 480 | 1,202 | 1,289 | 630 | 1,667 | 0.78702 | github_plus_top10pct_by_avg |
mber of hypermultiplets is 27. Clearly $n_H - n_V \neq 244$, so this model is anomalous in six dimensions.
Potential refinements of anomaly cancellation {#sect:possible-anomcanc}
---------------------------------------------
So far we have described some consistent (0,2) SCFT’s of the class III form, and also illustr... | 481 | 177 | 739 | 575 | null | null | github_plus_top10pct_by_avg |
calculated separately for each unit with a non-uniform response. For both measures and all examined layers, the average across the layer was positive (significant in half of the calculations (Table \[illusory\_table\])).
Source Layer $IC_A$ $IC_R$ Layer $IC_A$ $IC_R$ Layer $IC_A$ $IC_R$ ... | 482 | 1,509 | 1,231 | 636 | null | null | github_plus_top10pct_by_avg |
- a proof of the judgment $0 {\:|\!\!\!=\!\!\!\!=\:}C(L_1),C(L_1),{\rm Id}_{C,1}\leadsto
(\varepsilon,\varepsilon) {\:|\!\!\!=\!\!\!\!=\:}{\rm SUCC}$ in the formal system ${\cal J}(C(L_1),C(L_1),{\rm Id}_{C,1},{\cal B})$ (see $\pi_4$).
- a proof of the judgment $0 {\:|\!\!\!=\!\!\!\!=\:}D(L_1),D(L_1),{\rm Id}... | 483 | 636 | 777 | 479 | 1,923 | 0.784347 | github_plus_top10pct_by_avg |
n-1} \xi(w_0,\eta_i)\\
w_{n\delta} =& w_0 + \sum_{i=0}^{n-1} \delta \nabla U(w_{i\delta}) + {\sqrt{\delta}} \sum_{i=0}^{n-1} \xi(w_{i\delta},\eta_i)
\end{aligned}$$ Note that conditioned on the randomness up to time $0$, $\E{\sum_{i=0}^{n-1} \xi(w_0,\eta_i)} = \E{\sum_{i=0}^{n-1} \xi(w_{i\delta},\eta_i)... | 484 | 1,798 | 522 | 517 | null | null | github_plus_top10pct_by_avg |
n define $A_{n}(Q)$ more rigorously in terms of the set partitions (See P. P. Maritin’s paper [@Ma2]).
Next we define special elements $s_i, f_i$ ($1\leq i \leq n-1$) and $e_i$ ($1\leq i\leq n$) of $\Sigma_n^1$ by $$\begin{aligned}
s_i &=& \{\{1,1'\},\ldots, \{i-1,(i-1)'\},
\{i+2, (i+2)'\},\ldots, \{n, n'\},\\... | 485 | 4,374 | 133 | 346 | 2,177 | 0.781976 | github_plus_top10pct_by_avg |
building blocks for the assembly of nanostructured materials.
This research was supported by a PhD grant of the Vietnamese Government Scholarship Program (Project 911).
[^1]: Peak 1
[^2]: Peak 2
[^3]: Undefined value
---
abstract: 'The ability of a robot to detect and respond to changes in its environment is pote... | 486 | 66 | 2,693 | 721 | null | null | github_plus_top10pct_by_avg |
yed a crucial role in combinatorics and representation theory; see, for example, [@BEGfd; @BEGqi; @gordc]. A good way to think of the functor $S_d$ is as the analogue of the translation functor [@BG] from Lie theory.
In order to have control over $B$ we need to know that the $Q_{d}^{d+1}$ are progenerators for all $d\... | 487 | 382 | 678 | 537 | 1,709 | 0.78656 | github_plus_top10pct_by_avg |
ed here.
The paper ends with some brief final remarks.
Stochastic approach to the 1PI EA
=================================
The goal of this Section is to provide an heuristic introduction to stochastic equations derived from the 1PI EA. For a deeper discussion see [@CH08; @GRLE98].
From Langevin equations to effect... | 488 | 102 | 822 | 606 | 4,099 | 0.76811 | github_plus_top10pct_by_avg |
60.5±27.7 (142) 75.2±25.9 (124)
Head circumference percentile 56.7±25.7 (382) 66.5±27.2 (80) 65.5±26.8 (128) 65.7±25.4 (67) 64.2±28.7 (83) 69.0±23.3 (118)
Units: mean±standard deviation (*N*).
Numbers vary due to missing data.
######
General characteristics of the study population[a](#TF0002)... | 489 | 3,681 | 407 | 217 | null | null | github_plus_top10pct_by_avg |
n every degree. Assume furthermore, that there are derivations $d\in \mathrm{Der} (F_{\mathcal P}\,A)$, and $g\in \mathrm{Der}_d (F_{\mathcal P,A}M)$ over $d$. The maps $d$ and $g$ are determined by maps $$\begin{aligned}
d_n:\,A&\to& \bigoplus_n \mathcal P (n)\otimes A^{\otimes n},\\ g_n:\,M&\to& \bigoplus_{k+l=n-2} \... | 490 | 841 | 678 | 510 | 2,417 | 0.779914 | github_plus_top10pct_by_avg |
\,\,z=\frac{t}{h^{1/\beta\delta}}.
\label{chiralsuscept}$$
The singular function $f_G$ is well studied in spin models and has been parametrized for $O(2)$ and $O(4)$ groups. For the regular part we consider leading-order (linear) dependence in $H$ and quadratic in $T$: $$f_{M,reg}(T,H) = \left( a_0 + a_1 \frac{T-T_c^0... | 491 | 64 | 984 | 528 | 313 | 0.813787 | github_plus_top10pct_by_avg |
)^2$ vertices. [Now assume that $k < (\log n)^2$. Combining (\[in:cyc\]) and (\[new\]),]{} and taking the union bound over all choices for a set of $p$ edges, we find that the probability that a $c$-loaded $k$-vertex tree contains $p$ cycle-producing edges is at most $$\begin{aligned}
\label{ineq:cycle}
k^{2p}\... | 492 | 495 | 982 | 618 | 1,875 | 0.784793 | github_plus_top10pct_by_avg |
) indicates that all coefficients are significant, not equal to 0 under the nominal level 5%. Our method is consistent to the traditional Logistic regression. Compared with $K=150$ and $K=50$, $K=100$ is better since each block sample contains enough data points. For $\beta_{3}$, the average proportion of rejecting the... | 493 | 739 | 1,152 | 621 | null | null | github_plus_top10pct_by_avg |
matrix}.$$ As in the case (ii) of the above step (1), the Dickson invariant of $T_1$ is the same as that of $\begin{pmatrix} 1 & 1/\sqrt{(a+a')/2}(z_j^{\ast})_1\\ 0 & 1 \end{pmatrix}$, which turns to be $(z_j^{\ast})_1$.
In conclusion, $(z_j^{\ast})_1$ is the image of a fixed element of $F_j$ under the map $... | 494 | 1,508 | 408 | 534 | 2,621 | 0.77837 | github_plus_top10pct_by_avg |
ic. By the way, some elucidations of the standard concept of quantum truth are also obtained.
**Key words:** pragmatics, quantum logic, quantum mechanics, justifiability, decidability, global pluralism.
author:
- |
Claudio Garola\
Dipartimento di Fisica, Università di Lecce e Sezione INFN\
73100 Lecce,... | 495 | 363 | 2,183 | 736 | null | null | github_plus_top10pct_by_avg |
hentication and checks the Drupal Database for a valid username and password.
If you have any problems with PHP CLI, Drush or cron, you can add following code in the hook:
// Allow cron through
if (basename($_SERVER['PHP_SELF']) == 'cron.php') {
return;
}
// Allow PHP CLI/Drush through
if (isset($_SERV... | 496 | 371 | 199 | 195 | null | null | github_plus_top10pct_by_avg |
ed Einstein equations.
#### Future work. {#future-work. .unnumbered}
Although we have shown that bases in global coordinates are orthogonal, we did not mention completeness. There are clues that, in global coordinates, combining the highest- and lowest-weight modules will give a complete set of states. We leave a rig... | 497 | 67 | 1,055 | 642 | null | null | github_plus_top10pct_by_avg |
he elements $g_i$, $i\in I$, and $y_l$, $l\in L$. Let $$R^\chi =R^\chi _+\cup -R^\chi _+.$$
[@p-Heck07b Thm.3.13] \[th:rschi\] Let $\chi \in {\mathcal{X}}$ such that $\chi '$ is $p$-finite for all $p\in
I$. $\chi '\in {\mathcal{G}}(\chi )$. Then ${\mathcal{R}}(\chi )={\mathcal{R}}({\mathcal{C}}(\chi ), (R^{\chi '})_... | 498 | 1,661 | 509 | 574 | null | null | github_plus_top10pct_by_avg |
tude of the inferred activations, which was measured as $\frac{\mathbb{E}_{u\in{\bf U}}[a_{u}]}{\mathbb{E}_{v\in{\bf V}}[a_{v}]}$. Fig. \[fig:energyCurve\](right) shows the ratio of the latent patterns being strongly activated. We used a threshold $\tau=\mathbb{E}_{v\in{\bf V}}[a_{v}]$ to identify strong activations, *... | 499 | 33 | 715 | 410 | 1,419 | 0.789807 | github_plus_top10pct_by_avg |
C14---P6---C20 103.7 (2) C61---C62---H62 120.1
C14---P6---C13 107.2 (2) P2---C63---P3 112.0 (2)
C20---P6---C13 103.2 (2) P2---C63---H63A 109.2
C14---P6---Ag4 121.93 (15) P3---C63---H63A 109.2
C20---P6---Ag4 108.08 (14) P2---C63---H63B 109.2
C13--... | 500 | 3,158 | 1,663 | 699 | null | null | github_plus_top10pct_by_avg |
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