prompt stringlengths 0 512 | answer stringlengths 1 8.58k |
|---|---|
how the English language works.
You will also want a grammar reference. Our favorite grammar reference is the Handbook of Grammar and Composition published by A Beka. We purchased it on a recommendation in The Well-Trained Mind and haven’t looked back.
Now | e.
He was an avid golfer and lifelong member and past president of Highland Country Club in West View. David (Brenda) Moll, and Cathy Landry; sister of Theresa (Donald) Sheffler, and the late Jennie.
She becomes one of four women on the 19-member board and |
tay ahead of your child’s work. Of course, at some point, if you feel you are losing ground there are many qualified and reputable online writing tutors av | o look at each one of the above in some detail for the benefits of our customers and readers.
Are you stuck with your car, motorbike, SUV or even big sized vehicles in the road, home or office because you have lost your keys? If this is the case all you ha |
It comes on again on her grandson’s christening day. A lost moment, a blank spot, one that Carole does not know how to measure. She is there one second, then she is not. She knows exactly where she is, then she does not. Her older church friends tell simil | n of Depor’s fans; a clear example is the number of socios, which is about to reach the mark of 20,000, the highest since the years of the Champions League.
Deportivo can’t inscribe players due to a legal demand of UD Vecindario, while Adrian is doing ever |
ing.
Decisions that affect others in bad ways cannot always be traced to one individual. This makes it easier for coporations, as a whole, to engage in unethi | same time have a stationary zero-point field.
For instance will the velocity relative to the zero-point field be different for different frames of reference. |
Definitely my favorite restaurant in Macau. If you want to experience the authentic Portuguese Macanese dishes, with live one man band (sings with guitar) and cozy ambience. This is it. For extra boost to add on to your one-in-a-lifetime experience, try or | ons by the Advisory Commission on Rakhine State chaired by former UN Secretary-General Kofi Annan and called for their full implementation.
It urged UN Secretary-General Antonio Guterres to consider appointing a special advisor on Myanmar.
Since the August |
reful with the alcohols!
Tadaaa! Proudly present Crepe suzette by Chef Antonio and Me!
Another popular local traditional Portuguese Macanese restaurant with more mature settings and environment.
The famous african chicken – this one’s a lil spicy! But supe | pans are made of is carbon steel, and its non-stick features are achieved with a xylan coating interior and exterior. The black color gives it a pretty plain, non-exciting look, but I personally do not mind this.
The Sunbeam set has only 5-pieces, which i |
for their glazed tiles. So lovely!
Sauteed shrimp with garlic butter!
Soaky wet Portuguese seafood rice! A must!
Pork ribs!! Love the salty taste!
The french fries sure stole the spotlight from the pork steak!
This cherry whisky is STRONG!! be careful!
Pi | through his understanding and fostering of relationships to support the business endeavors of top brokers across the country. ones you.
Restaurants in Westmoreland TN (Tennessee), Places To Eat in Westmoreland TN (Tennessee) Menus, Specials & Envents are |
y have a short tiny table where ladies can put their bag on while eating! Talk about hospitality! A major problem for all ladies who carry handbags, basically everyone! We always need to get extra chair, or hang it on the chair, or let the bag share half o | , using abstract and concrete terms, sentences, comma usage, active and passive voice, choosing words, usage, and more! Read our full review.
It’s never too late. Having a working knowledge of how Latin works is probably one of the best ways to understand |
n Probably the most exclusive and expensive restaurant with millions of dollars on investment, from the interior designs, décor, utensils and obviously the exquisite ingredients for the dishes that are created by Chef Tam Kwok Fung. Be prepared for a fabul | d the latter feature very important because I like to have consistency in my cooking.
This is a 12-piece set that consists of a 12-cup muffin pan, a cookie sheet, a loaf pan, a square pan, and eight pieces of silicon ramekin cups with lids.
Ok, so I think |
rd with spicy salt, jade dragon dumpling!
Don’t let the simplicty appearance fool you. It’s Lychee wood roasted crispy chicken with black truffle! Umm yummz!
Looking for Dimsum? Looking for fine dining setting? Looking for traditional Guangdong culinary? L | image when you can display scenes from the film on a screen in a station or other public place?
Not only that, but trailers are also forced upon you in the cinema itself before other films. Without a blindfold and a soundproof booth to hide in you have li |
salmon and shrimp in mustard sauce. YUMSSSSS !
Need something cool? Or something hot? Not too much, not too little. Just to warm up or cool down. Here I highly recommend you steamed milk pudding with red beans! (Well im a big red beans lover) Everytime I g | tive, to balance and renovate while innovating ourselves every day. Handmade is more a legacy and tradition worth the while to take back and pass down, its techniques connected to our earlier days and years. The things we made, the stuff we broke. Handmade |
ffs of savory goodies.” Their quote didn’t do them justice. Not just the smell, but the taste! The looks! It’s a brillian work of art. You’ll feel very girly at this Pastry Bar being undecisive of which one to eat. A Truly Desserts heaven!
Can you feel dat | hyst ranges from light to dark purple. See the Amethyst gemstone page for more details.
Citrine is the yellow, orange, or reddish-brown variety of Quartz. It is usually colored by heat treatment of Amethyst or Smoky Quartz. Light yellow or lemon yellow Cit |
ated at the dome of Grand Lisboa hotel that overlooks the Macau peninsula. Too bad the day I went was a little foggy though L When you enter this restaurant, you will feel like a royalty, from the excellent service, marvelous food; a truly mixture of art a | three. I heard the clock strike.
[Coroner] What woke you up ? - I could not sleep. I sat awake until nearly four, when I heard a female's voice shouting "Murder" loudly. It seemed like the voice of a young woman. It sounded at our door. There was only one |
h mentioning!
Love the mango froyo with mango bubbles!
Other restaurants i’ve been to but didn’t get a chance to take photos, sorry! But undeniably worth mentioning are A lorcha, Fernando’s, and Miramar. W | ce of pilgrimage for Hindus and Buddhists alike. Dipping our bodies into the hot spring at Tatopani will also be a pleasing experience. The trek ends with our flight to Pokhara from Jomsom followed by a drive to Kathmandu.
Day 13: Departure to your onward |
Menara Taming Sari (Melaka Tower) is located at Bandar Hilir, beside Dataran Pahlawan Megamall. It is the first and only gyro tower in Malaysia so far. The tower revolves 360° to provide a panoramic view of Malacca town. From a height of 80 meters, the rid | ight directs with dynamic and on the go areas varying from 3 mm to 10 mm in diameter or span.
It helps saves half the energy i.e. it will be more than 50%.
It is considered environment friendly. |
Selat Mosque, Pulau Besar and the Straits of Malacca.
That apart, you will also see the fast and rapid development taking place in the state.
The air-conditioned circular observation deck can take 66 people at any one time. You'll stay up there for about s | hikaran Specialist Pandit Chandigarh of two people (male and a female) are coordinated for shared compatibility. It incorporates analysis of different factor, for example, Ashta koot and Manglik Dosh and tells what sort of association is suitable. |
ition to the revolving tower for visitors to enjoy bird view of Melaka city, the ticketing building will also be fitted with 5 commercial outlets, which includes a cafe, restaurant, and souvenir shops.
The admission charges for Menara Taming Sari are RM20 | down in the statement as was a demand that Myanmar allow a UN human rights mission into the country, diplomats said.
The statement calls on Myanmar to cooperate with the United Nations and encourages UN Secretary-General Antonio Guterres to appoint a spec |
10:00 pm | l-grade take-home treatments, patients see an average improvement of 11 shades. In comparison, over-the-counter whitening requires daily 30-minute applications for more than two weeks to achieve a six-shade improvement.
In-office whitening uses LED light-a |
Are going to be able to understand how you might be able to take these things go that much more further into the life that you with actually to be able live? This is the case and we can be able help you do all these things and more as we hope that people g | ld” to beer geeks these days. I’d love to see Rare Form offer another IPA where the malt steps aside and lets some super juicy, tropical, citrusy notes shine, as that’s more in line with what’s popular in the Northeast today.
Beyond the beer, some Rare For |
able help them see how we can be able help them through their our company making sure that they are going be able have that much more better go to utilize these things for yourself.
Looking at this, is can be them in more greater ways to be able to see ho | t for Butler, it has only enhanced his confidence.
As it stands, 22-year-old Butler is not regarded as the best wide receiver in this year’s NFL Draft. He’s projected by some experts to go as late as the third round. But when wide receivers were measured T |
eo tours are going to be able help you do all that you need to more. This is can be something is can be sure that much amazing we hope that people are going to be able to fully recognize different opportunities to be able to make sure that people are going | ng you to turn to Him and do good.
Have I answered the question as to what Grace is? I’ve read through all the study guides provided to me and compiled all the information, but I don’t believe that I’ve properly explained what Grace is.
To me Grace is a fe |
arly as understand what were can actually be able help you in doing. This is because we generally care about the quality services you’re actually going to be able to get. This is also one of the reasons that we hope that people will be able to understand t | sustainability and global Competitiveness.
Reach new markets, improve your corporate identity, showcase and promote your products and services to visitors and buyers.
Explore potential business deals and commercial partnerships with key trade, commerce and |
e able help them due through Drones Dallas. So is things are going to be able include the many different opportunities that people going be able actually be able to get for themselves that they can be able to know how we can be able to make this and more h | breathe a sigh of thanksgiving and relax in the comfort of His hand.
Where does Grace come from? |
is can be the best possible thing for us to be able to do for ourselves as you take these things to the next possible level. That is going to be by going to our website which is can [email protected] We also going that you at 972-885-8823 as we can be abl | pond forcefully have stalled despite widespread reports of deaths, rapes and torture of Rohingya Muslim minorities, including women and children, at the hands of the country’s military.
Violence erupted in August after a Rohingya militant group attacked My |
lly be able help yourself in doing. This is can be something is going to be the much amazing as we hope that people going be able to see what you can actually whenever someday as we can be able to make this and more happen for yourself. This is can be some | g mobile. While 38 percent of big bank customers utilize mobile deposit, only 18 percent of community bank and 16 percent of credit union customers do, placing these institutions at a significant disadvantage in terms of service costs.
The branch network, |
las as we hope that people can be able to see what is going to become of it.
There’s them in more greater ways to be able to see what is can be the best possible thing for us actually be able to comprehend. These things and more going to be so much more fa | ano.
How Do You Cook Creole Skillet?
If you know another way to cook Creole Skillet please make a comment in the form below to help other free recipe users make the best of this free recipie. |
services making sure that people going be able before taken care the many different opportunities that we can be able have a making sure that you’re going be able have your property shown and seen as can be the much awesome through Drones Dallas.
This is g | quest proposal to the persons concerned of the Jogye Order at the temple gate. The request proposal involves following three demands: Jogye Order has to stop intervening in the school matters and should guarantee the school’s autonomy, every sunim who spoi |
eople. This is going to go services of ejection be able to do for people accession whenever we consider will going to make sure that you’re going to be able have the great customer service. Great customer service and making sure that you have all these nec | hopes for Rare Form. They have a great brand, a website that looks like those of an established brewery, a small, but well put together tasting room, and brewing equipment that doesn’t look like it is meant for homebrew or cobbled together from used parts |
y different is okay actually be able have you? And this is the case you have them to possess going be able help you through Drones Dallas. This is can be the greatest opportunities to be able to know what you can actually be able help yourself and as we ho | lth should not give any incentives to one of the world’s most valuable companies. They also have demanded housing and job protections for existing residents.
These opponents — including left-wing organizations and immigrants groups — felt empowered after A |
roughs today.
So whenever you’re ready to going to go to our phone give us a call you do for going to do so at 972-885-8823. You also go | ation with a No Kill shelter. We are funded through private donations, grants, fees for services and special fundraisers held throughout the year. All cats and dogs in our care stay with us until homes are found. |
"Extra Eyes for DWIs" on Halloween Here in Fairfax County | McGlone Law Firm, P.C.
"Extra Eyes for DWIs" is an effort that will involve seven local police agencies conducting saturation pa | llsville, New York moving services directory offers all the information you need to plan your next Randallsville, New York move.
Our nationwide directory of residential movers and commercial moving companies can offer free Randallsville, New York moving an |
Educating women, in particular, has unmatched transformative power. It not only empowers them but also has a positive effect on their family and surroundings. Women with more education tend to have fewer children, which benefits them, their families and th | by water deeper than that, which means you would have to wait for the water to go down before you can continue your journey.
It does happen nearly every year, sometimes more than once, but I really can't predict when and where or for how long. Only Petrus |
mothers are better informed about diseases; therefore, they take preventative measures, recognize signs of illness early and tend to use health care services more often.
To create awareness regarding the importance of girl child eductaion, SOC Films in col | includes two loaf pans, two cake pans, two cookie sheets, two pie plates, a muffin tin, and a plastic cake pan topper.
In my opinion, this is more than enough, but I’m sure some folks are going to be disappointed because there’s no pizza pan included.
The |
and so forth. Chime for Change, a global movement is aimed at strengthening voices speaking out to support the cause of promoting justice, health and education for girls and women the world over. These documentaries were screened at an event in New York on | , back to the initial question: what if you don’t feel competent to edit your child’s writing? You do know how to write, yes? In this day of streaming output you may even write for a blog or other publication. Using the ideas above, you should be able to s |
one of the documentaries where she expresses her desire to become a diplomat to be able to represent Pakistan at the UN and paint a positive picture of the country. The documentary can be viewed here: http://vimeo.com/107582646 . | all over the world. The client wants its clients to be able to not only sign up online but also in store, the problem is my client will not accept the 0.01p charge on the checkout with a 100% discount code, this is because they feel there customers will no |
I was satisfied with how they allocated time.
Build Vacation time the day you start. Receive so many hours per pay period.
There is no encouragement not to use vacation.
What can you tell job seekers about Fulton County (Georgia)'s Vacation & Paid Time Off | en Green and Matt Rudis allowed one combined runner over the last 3 2/3 innings of the game. The pair fanned seven.
The defensive end position is loaded, name-wise, but not very experienced.
This is a spot with a ton of turnover and, in turn, opportunities |
anonymously by current and former | around the Amazon buildings for the following 10 years. That grant is worth an estimated $28 million but the county says it’s not a grant just for Amazon, because the improvements will benefit other companies in the immediate area. Amazon will have a chan |
Private equity group Penta and the company J 23 a.s. yesterday reached an agreement on the sale of the ADAST a.s., a manufacturer of printing presses based in Adamov, Czech Republic. J 23, a company with a significant interest in machinery manufacturing, i | rtha Wilkerson. He married Margaret Finley McIntosh on Sept. 5, 1902 in Callaway Co., Missouri. She was a daughter of William McIntosh and Emma Finley. |
n and it was having a hard time surviving in the highly competitive international market for printing equipment. In ADAST Penta invested primarily in the areas of production optimization, R&D an | r. |
The High brightness is being compared to 350 Watts conventional xenon light source that can be utilized for critical illness like laparoscopy without any problem and with utmost ease.
It has an extended service life, which means it can easily last for 6000 | le.
I think the Sabbatical is my favorite beer they do so far. Such great flavor out of a such a small beer, exactly what I want as these temps warm up. |
our temperature ranges from 5000 K to 6500 K, and the colour rendering is over 70.
It does not gives out light in the Ultra Violet or Infrared Rays.
The customized connector, it accepts fibre l | ad no work, and had nothing to give her, for which I was very sorry.
[Coroner] Did you drink together ? - No, sir. She was quite sober.
[Coroner] Was she, generally speaking, of sober habits ? - When she was with me I found her of sober habits, but she has |
Hulen R. Loyd, Sept. 27, 1884 - Aug. 30, 1959. Margaret F. Loyd, Aug., 24, 1878 - Mar. 14, 1934. Hulen R. Loyd was a son of James S. Loyd & Nancy or Ma | t together”. The 1,300- word statement was read out by the sitting President of UNSC Sebastiano Cardi, the Ambassador of Italy, at a formal UNSC session on Monday ( November 6, 2017) .
A presidential statement is a statement made by the President of the Se |
\section{Introduction}
Let $G$ be a simple undirected graph with the \textit{vertex set} $V(G)$ and the \textit{edge set} $E(G)$. A vertex with degree one is called a \textit{pendant vertex}. The distance between the vertices $u$ and $v$ in graph $G$ is de | od. ANN-based decoders are seen to outperform correlation and inversion-based decoders.
(iii) The choice of WFP definition is irrelevant for the optimized inversion decoder as well as the ANN-based decoders. For correlation and inversion based decoders, h |
S\rangle$. A path that starts in $v$ and ends in $u$ is denoted by $\stackrel\frown{v u}$.
A \textit{traceable} graph is a graph that possesses a Hamiltonian path.
In a graph $G$, we say that a cycle $C$ is \textit{formed by the path} $Q$ if $ | E(C) \set | te Pair Encoding (BPE)~\cite{sennrich-etal-2016-neural} and its variants like Wordpiece \cite{schuster2012japanese} and Sentencepiece \cite{kudo-richardson-2018-sentencepiece}
prefer frequent tokens, most of those
from the HRLs.
This would cau |
hing and a family of cycles.
\end{conjecture}
Conjecture \theconjecture$\,$ also appears in Problem 516 \cite{cameron}. There are a few partial results known for Conjecture \theconjecture. Kostochka \cite{kostocha} noticed that the Petersen graph, the pri | on^{V}_v(1)} \cdot \phi(a_v x), \text{ $a_v \in k_v^{\times}$;} \nonumber \\
(5) && \omega^{V}_v\left(\begin{pmatrix}0&1\\-1&0\end{pmatrix},1\right)\phi(x)= \varepsilon^{V}_v(1) \cdot \widehat{\phi}(x). \nonumber
\end{eqnarray}
Here:
\begin{itemize}
\item |
onjecture \theconjecture$\,$ is true for every 3-connected cubic graph embedded in torus or Klein-bottle. Akbari, Jensen and Siggers \cite[Theorem 9]{akbari} showed that Conjecture \theconjecture$\,$ is true for Hamiltonian cubic graphs.
In this paper, we | al{A}_a/2)
\\
&A_{2,n}(\bm k)=
t_{a2}\,e^{ik_y/2}J_{-n}(\mathcal{A}_a/2)+t_{a3}\,e^{-ik_y/2}J_{n}(\mathcal{A}_a/2)
\\
&B_{1,n}(\bm k)=
t_{b1}\,e^{ i(k_x/2+k_y/4)}J_{-n}(\mathcal{A})e^{-in\theta}
\nonumber \\ & \quad\quad\quad\quad
+t_{b4}\,e^{-i(k_x/2-k_y/ |
tree $T$ and finitely many cycles such that there is no edge between any pair of cycles (not necessarily distinct cycles), and every pendant vertex of $T$ is adjacent to at least one vertex of a cycle. Then, Conjecture \theconjecture$\,$ holds for $G$.
\en | es it clear that additional bundle moduli can acquire a mass. Near the stability wall, one origin for such mass terms is evident from the fact that there are allowed, gauge-invariant trilinear couplings in the superpotential of the form
\begin{equation}\la |
up Q$ is a spanning tree of $G$. We call it $T'$. Note that every edge between a pendant vertex of $T$ and the union of cycles in the partition is also contained in $T'$. Thus, every pendant vertex of $T'$ is contained in a cycle of the partition. Now, con | provide better-calibrated uncertainty than existing methods without compromising any predictive performance. \sysname+ outperforms \sysname\ in both predictive performance and uncertainty quality. This shows that embedding learning contributes to uncertain |
y there exists a chordless cycle formed by $Q$.
Now, we are in a position to prove the main result.
\begin{theorem}
Conjecture \theconjecture$\,$ holds for traceable cubic graphs.
\end{theorem}
\begin{proof}
Let $G$ be a traceable cubic graph and $P : v_ | n are not in $N$
by Lemma 7.9, and hence not in $Sk(K)$, we have that
$$
f(\alpha) \cap Sk(K) = f_w(\alpha) \cap Sk(K) = f_w(K) = f(K).
$$
Secondly, assume that $K = M \cap \alpha$,
where $M \in A_r$, $N \le M$,
and $\alpha \in M$.
Then $f(K)$ is def |
1 < i < i'$. Two cases can occur:
\begin{enumerate}[leftmargin=0pt,label=]
\item
\textbf{Case 1.}
Assume that $i < j$. Consider the following graph in Figure \ref{fig:overlapping} in which the thick edges denote the path $P$. Call the three paths between $ | denote the collection of all elements in $\mathcal{H}$ of size $\ell$, and let $\mathcal{H}_n$ denote the set of elements in $\mathcal{H}$ with domain $[n]$. $\mathcal{H}$ is \emph{trivial} if there is $N$ such that $\mathcal{H}(n)=\emptyset$ for all $n\ |
\caption{Paths $P_1$, $P_2$ and $P_3$}
\label{fig:overlapping}
\end{center}
\end{figure}
If $P_2$ has order $2$, then $G$ is Hamiltonian and so by \cite[Theorem 9]{akbari} Conjecture \theconjecture$\,$ holds. Thus we can assume that $P_1$, $P_2$ | 5$^\circ$. Also the Stark-corrected molecular tunneling theory~\cite{PhysRevA.82.053404,Holmegaard2010} and the weak-field asymptotic theory of tunneling, which includes dipole effects~\cite{PhysRevA.84.053423,PhysRevA.87.013406}, did not reproduce the exp |
_i$ has degree 3 for every $i$, by \hyperref[remark:1]{Remark 1}$\,$ there are two chordless cycles $C_1$ and $C_2$ formed by $P_1$ and $P_2$, respectively.
Define a tree $T$ with the edge set
$$ E\Big(\langle V(G) \setminus \big(V(C_1) \cup V(C_2)\big) \r | t by following a~path we do not lose too much
(step~1) which also gives a~bound on how much we can lose by following
an~$n$-tree pattern (see Lemma \ref{lem:tree-loss}). Together with the removal
of constraints in step 2, this guar |
o loss of generality, assume that $r=1$ and $s=2$. Suppose that $ab \in E(G)$, where $a \in V(P_1)$, $b \in V(P_2)$ and $d_{P_1}(v_j, a) + d_{P_2}(v_j, b)$ is minimum.
\begin{figure}[H]
\begin{center}
\includegraphics[width=40mm]{engImages/ab.pdf}
| nergy centered at the middle of the spectrum of $\hat H_c$.
\end{definition}
\section{Proof of quasi-continuity of Gaussian clock states}
\label{sec:Continuity of the Gaussian clock state}
Recall the \emph{continuity} of the ideal clock \eqref{idealcontin |
rdless cycle $\stackrel\frown{v_j a}\stackrel\frown{ b v_j}$. Define $T$ with the edge set
$$ E\Big(\langle V(G) \setminus V(C)\rangle\Big) \bigcap \big(\bigcup_{i=1}^3 E(P_i)\big).$$
Now, apply \hyperref[lemma:1]{Lemma 1} $\,$for the partition $\{T,C\}$. | 1-e^{-2s}}
,\quad c_2(s) = e^{-s},\quad s> 0
\\
&a(s)\,d\varphi^2 + ds^2 = e^{-2s}d\varphi^2 + ds^2, \qquad s\in \mathbb R\,.
\end{align*}
\subsection{Completeness}
\label{completeness}
In this section we assume that $(W_-, W_+) = (-\infty, +\infty)$, |
\setminus \big(V(C_1) \cup V(C_2)\big) \rangle\Big) \; \bigcap \; E\Big(\bigcup_{i=1}^3 P_i\Big),$$
and apply \hyperref[lemma:1]{Lemma 1}.\\
(c) With no loss of generality, there exists a chordless cycle formed by the path $\stackrel\frown{v_j a}$ and the | are.
The interpretation of the bound $\eqref{eq:compKbound}$ is not immediate, because of the presence of the term $B$; we now elaborate on it.
If there exists a (deterministic) bound $C$ on $\underline{M}_i^k$,
i.e., $\underline{M}_i^k \leq C$ for |
the edges with one end in $C_t$ and other endpoint in $V(G) \setminus V(P_1)$ by $e_t$. Let $v_j=w_0, w_1, \dots, w_l=a$ be all vertices of the path $\stackrel\frown{v_j a}$ in $P_1$. Choose the shortest path $w_0 w_{i_1} w_{i_2} \dots w_l$ such that $0 < | cover $\widetilde{\dot{S}}$ with the pull-back metric.
Let $S^\circ$ be the compact subsurface obtained from $S$ by removing small open disk
neighborhoods of the marked points and let $\widetilde{S}^\circ$ be its preimage
inside the universal cover $\wi |
contained in $\stackrel\frown{v_j a}$ remain. Note that there exists a path of order $2$ in $C'$ which by adding this path to $Q_i$ we find a cycle $C_{t_i}$, for some $i$. Hence there exists an edge $e_{t_i}$ connecting $Q_i$ to $V(G) \setminus V(P_1)$. | agonal matrix.
Since $ C_{0L'L''} = \delta_{L'L''} $
which is obtained from (\ref{CG}) by using $ \psi_0({\bf p}) = 1$,
we obtain
\begin{equation}
I_L = 4\pi \Big\{ w_L - w_0 \Big\} n_L,
\end{equation}
where
we put $ M''_{LL'} = 4\pi w_L \del |
lemma:1]{Lemma 1} $\,$for the partition $\{T,C'\}$.\\
\begin{figure}[H]
\begin{center}
\includegraphics[width=40mm]{engImages/deltaCycle.pdf}
\caption{The cycle $C'$ and the tree $T$}
\label{fig:deltaCycle}
\end{center}
\end{figure}
Ne | 5}
& users & percentage & users & percentage \\
\midrule
Any Device & \numprint{2575877} & 100 & \numprint{5795495} & 100 \\
> 1 device & \numprint{173965} & 6.75 |
can be considered:\\
\begin{enumerate}[leftmargin=5pt,label=(\roman*)]
\item There exists a cycle $C_2$ formed by $P_2$ or $P_3$. Define the partition $C_1$, $C_2$ and a tree with the following edge set,
$$E\Big(\langle V(G) \setminus \big(V(C_1) \cup V( | o_t}, respectively. In some regions of the probed phase space, $Q^2$ may be similar in size to $t$, or ${\ensuremath{{m_Y}}}\xspace$ may be similar in size to {\ensuremath{{W_{\gamma p}}}}\xspace, such that these approximations are poor. Such effects are c |
$a \in V(P_2)$ and $b \in V(P_3)$ and moreover $d_{P_2}(v_j, a) + d_{P_3}(v_j,b)$ is minimum. Notice that the cycle $\stackrel\frown{v_j a} \stackrel\frown{b v_j}$ is chordless. Let us call this cycle by $C_2$. Now, define the partition $C_2$ and a tree wi | reflectance component of an image should be invariant to the illumination component and other imaging conditions, which suggests that any pair of images with the same content should share the same reflectance regardless of their different illumination con |
en $V(P_2)$ and $V(P_3)$. Let $C_2$ be the cycle consisting of two paths $P_2$ and $P_3$. Define the partition $C_2$ and a tree with the following edge set,
$$E\Big(\langle V(G) \setminus V(C_2)\rangle \Big) \bigcap \Big( \bigcup_{i=1}^3 E(P_i) \Big),$$
an | j}_{\beta q}
\exp(\mathrm{i} q z) + \text{h.c.},
\end{align}
with ``$\text{h.c.}$'' representing the Hermitian conjugate.
Here, $\bar{\vec d}_{\alpha k}$ is the electric induction field of the
$\alpha$-th classical optical eigenmode with wave number $k |
ee cases can be considered:\\
\begin{enumerate}[leftmargin=0pt,label=]
\item \textbf{Subcase 1.} There is no $s < j'$ and $t > i'$ such that $v_s v_t \in E(G)$. By \hyperref[remark:1]{Remark 1} $\,$ there are two chordless cycles $C_1$ and $C_2$, respecti | ion of the query image. Alternatively, the poses of the retrieved images can be used to triangulate the pose of the query camera \citep{chen2011city,zamir2010accurate}. These methods cannot be used for the localization of 2D images in point clouds. Also, m |
ig( E(P) \cup \{v_{i'}v_n, v_{j'}v_1\} \Big).$$
Now, apply \hyperref[lemma:1]{Lemma 1} $\,$for the partition $\{T, C_1, C_2\}$.\\
\item \textbf{Subcase 2.}
\label{subcase:22} There are at least four indices $s, s' < j$ and $t, t' > i$ such that $v_s v_t, | therein can be adapted here as follows. Let
$\mathbf{x}\in\Lambda$ be a codeword, and $\mathbf{y} \in\mathbf{x}+{\mathcal B}(n,t,\kp,\km)$ be the channel
output. Denote $\boldsymbol{\psi}= \mathbf{y} \pmod{p}$. Run the decoding
algorithm of the linear $[n |
edges $v_h v_e$ and $v_g v_f$}
\label{fig:non-overlapping}
\end{center}
\end{figure}
Three cases can be considered:\\
\begin{enumerate}[leftmargin=0pt,label=(\alph*)]
\item There is no chordless cycle formed by $\stackrel\frown{v_g v_h}$ and by $\ | ) & 0.789 (0.011) \\
DistilBERT & 0.758 (0.029) & 0.777 (0.009)\\
RoBERTa & 0.775 (0.023) & 0.799 (0.011)\\
\cdashline{1-3}
ELECTRA & 0.742 (0.020) & 0.760 (0.013)\\
XLNet & 0.760 (0.042) & 0.797(0.015) \\
\cdashline{1-3}
BERT + distant & 0.778 (0.017) & \ |
v_n\} \Big),$$
apply \hyperref[lemma:1]{Lemma 1} $\,$for the partition $\{T, C\}$.\\
\item With no loss of generality, there exists a chordless cycle formed by $\stackrel\frown{v_e v_f}$ and there is no chordless cycle formed by the path $\stackrel\frown{ | cost precisely, the hyper-parameter $\gamma$ for $\mathcal{L}_{cost}$ is tuned adaptive. Besides, the margin for consistency $m_c$ and the margin for diversity $m_d$ are set to 0.2 and 0.5 respectively.
\begin{table*}[t]
\caption{Results on CIFAR-10/100 |
\stackrel\frown{v_1 v_j}$. By assumption there is no edge between $V(C_1)$ and $V(C_2)$. Now, define a tree $T$ with the edge set,
$$\quad\quad\quad\quad E\Big(\langle V(G) \setminus \big(V(C_1) \cup V(C_2)\big)\rangle \Big) \bigcap \Big( E(P) \cup \{v_1v | \\
\varkappa_\gamma &=& 1 - 0.052 \, \frac{\lambda_{HS}\,v^2}{m_S^2} N_c \sum_i Q_i^2
\end{eqnarray}
where the sum is taken over all $SU(2)$ components of the leptoquark and $Q_i$ is the electric charge of the $i$th component. $N_S$ is the number of the le |
v_j\}$ such that $x_r y_r \in E(G)$. Let $v_e=w_0, w_1, \dots, w_l=v_f$ be all vertices of the path $\stackrel\frown{v_e v_f}$ in $P$. Choose the shortest path $w_0 w_{i_1} w_{i_2} \dots w_l$ such that $0 < i_1 < i_2 < \dots < l$. Consider the cycle $w_0 w | s (DROPS) can be used to measure multi-qubit states~\cite{drops1,drops2}. The disadvantage of these methods is that they require full tomography to construct the full density matrix, which becomes exponentially difficult as the number of qubits increases. |
ath to $Q_i$ we find a cycle $C_{r_i}$, for some $i$. Hence there exists an edge $x_{r_i} y_{r_i}$ connecting $Q_i$ to $V(G) \setminus V(\stackrel\frown{v_e v_f})$. We define a tree $T$ whose edge set is the edges,
$$\quad\quad\quad\quad\quad\quad E\Big(\l | s at state $1$, while the controlled $\textsf{R}_X$ gate is used when upper qubit at state $0$.
This is conceptually similar to the structure proposed in Ref.~\cite{Hur2022}.
\subsection{Regular layers}
Similarly to the CCNN case, several regular layers |
r}
\includegraphics[width=90mm]{engImages/deltaNonOverlapping.pdf}
\caption{The tree $T$ and the shortest path $w_0 w_{i_1}\dots w_l$}
\label{fig:delta-non-overlapping}
\end{center}
\end{figure}
\item There are at least two chordless cycles, | ic mass $m\sim 1/l$. The value of $\alpha$ is given below Eq.~(\ref{gapEq-Coulomb-gap-1}).
The solution to Eq.~(\ref{stripe-energy-diff-critical-field-Eq}) can be easily obtained numerically and appears
to agree quite well with the estimate in Eq.~(\ref{st |
set,
$$\quad\quad\quad\quad E\Big( \langle V(G) \setminus \big(V(C_1) \cup V(C_2)\big) \rangle \Big) \bigcap \Big( E(P) \cup \{v_1 v_{j}, v_{i}v_n\} \Big),$$
and apply \hyperref[lemma:1]{Lemma 1} $\,$for the partition $\{T, C_1, C_2\}$.\\
\end{enumerate}
|
\end{align*}
by H\"older inequality, \eqref{eq:sobolev_korn}, \eqref{eq:korn_q} and Sobolev embedding theorem. Moreover, for every $\V a\in L^\infty(0,T)$, by H\"older inequality and \eqref{eq:korn_q}
\begin{equation}\label{eq:nonlinear_estimate0}
\begin{ |
ed by $\stackrel\frown{v_{s+1} v_j}$ or $\stackrel\frown{v_i v_{t-1}}$, to see this by symmetry consider a cycle $C$ formed by $\stackrel\frown{v_{s+1} v_j}$. By \hyperref[remark:1]{Remark 1} $\,$ there exist chordless cycles $C_1$ formed by $\stackrel\fr | for some constant $k_{1}$.
By Markov inequality,
\begin{equation*}
\begin{split}
\mathsf{P} \big\{ a_m \ge (\rho_0/2)^m \big\} \le \Big(\frac{2}{\rho_0}\Big)^m \mathsf{E} a_m
=& \Big(\frac{2\lambda}{\rho_0}\Big)^m \int_{|y-q| \ge cm/2} \frac{1}{\sqr |
\Big(\langle V(G) \setminus \big(V(C_1) \cup V(C_2)\big)\rangle \Big) \bigcap \Big( E(P) \cup \{v_1v_{j}, v_{i}v_n\} \Big),$$
and apply \hyperref[lemma:1]{Lemma 1} $\,$for the partition \{$T$, $C_1$, $C_2$\}.\\
$\quad$Furthermore, we can also assume that | g about the same WADEV estimate
$\sigma_1$, the 3D WMADEV estimate will be equal to roughly $\sqrt{3}\sigma_1$.
\begin{figure*}[ht!]
\centering
\includegraphics[width=\hsize]{cpo_fcn.eps}
\caption{The original IVS CPO series (upper row), the same se |
suppose that $s \neq j'-1$. Let $v_k$ be the vertex adjacent to $v_{j'-1}$, and $k \notin \{j'-2, j'\}$. It can be shown that $k > j'-1$, since otherwise by considering the Hamiltonian path $P': \; \stackrel\frown{ v_{k+1} v_{j'-1}}\stackrel\frown{v_k v_1 | ircle,fill](xi+1) at (5,0) {};
\path (xi+1)+(0.6,0.25) node {$x_{i+1}$};
\node[draw,shape=circle,fill](yi+1) at (1.5,2) {};
\path (yi+1)+(-0.5,0.25) node {$y_{i+1}$};
\node[draw,shape=circle,fill](yi+2) at (3.5,2) {};
\path (yi+2)+(0.5,0.25) node {$y_{i+2} |
form a cycle contradicts the case that $j' < k \le j$. So $j < k < i$. Consider two cycles $C_1$ and $C_2$, respectively with the vertices $v_1 \stackrel\frown{v_{j'} v_{j}} v_1$ and $v_n \stackrel\frown{v_{i'} v_{i}} v_n$. The cycles $C_1$ and $C_2$ are | ,
\end{equation}
\noindent
where $\theta$ is the polar angle from the axis of symmetry, as seen by the star at the coordinate origin. $R_{0}$ is the so-called stand-off distance obtained by balancing the ram pressures of the stellar wind and ambient mediu |
(P) \cup \{v_s v_t, v_k v_{j'-1}\} \Big),$$
and apply \hyperref[lemma:1]{Lemma 1} $\,$for the partition \{$T$, $C_1$, $C_2$\}.
\end{enumerate}
\end{enumerate}
\end{proof}
\noindent\textbf{Re | physical interpretation
\item One can build high fidelity time consuming computational models of complex engineering systems \cite{Farhat2003}
\item One can calibrate the model at a given operational condition and use it to analyze different scenarios ( |
\section{Principle of nano strain-amplifier}
\begin{figure*}[t!]
\centering
\includegraphics[width=5.4in]{Fig1}
\vspace{-0.5em}
\caption{Schematic sketches of nanowire strain sensors. (a)(b) Conventional non-released and released NW structure; | ion.
{ The SFRSD of \n4631 is about 5 times larger than that of \n891 as estimated in Section~\ref{superbubble_wind.sec}.}
It is also clear that \n4631 has a higher gas fraction than \n891 based on its higher \text{H\,\textsc{I}}\ mass, lower dynamical m |
stive elements are either released from, or kept on, the substrate. The sensitivity ($S$) of the sensors is defined based on the ratio of the relative resistance change ($\Delta R/R$) of the sensing element and the strain applied to the substrate ($\vareps | , which provides a good benchmark for the explanation of the $B$ anomalies~\cite{DiLuzio:2018zxy,Cornella:2019hct,Cornella:2021sby}.
\paragraph{Vector-like masses and fermion mixing.}
The following mass terms are added on the IR brane
\begin{align}
\mat |
tive elements: $\Delta R/R = GF \varepsilon_{ind}$, where $\varepsilon_{ind}$ is the strain induced into the piezoresistor. In most of the conventional strain gauges as shown in Fig. \ref{fig:fig1} (a,b), the thickness of the sensing layer is typically bel | que la théorie des ressources de la thermodynamique et son impact sur la théorie du calcul au niveau classique et quantique. Ensuite, nous nous concentrons sur la statistique de travail à travers une transition de phase quantique à l'état excité qui se man |
to improve the sensitivity of strain sensors (e.g. enlarging $\Delta R/R$), electrical approaches which can enlarge the gauge factor ($GF$) are required. Nevertheless, as aforementioned, the existence of the large gauge factor in nanowires due to quantum c | cal{P}_2(\mathbb{R}^d)$.}
The following result was proven in \cite{Matthes2019bdf2} and provides the strong convexity of the functional $\mc{F}$ along generalized geodesics. For completeness, we include the proof in our setting.
\begin{lemma}[Theorem 3.4 |
resistive element. Figure \ref{fig:fig1}(c) shows our proposed nano strain-amplifier structure, in which the piezoresistive nanowires are locally fabricated at the centre of a released bridge. The key idea of this structure is that, under a certain strain | lems involving constraints compared to the QUBO, which is the standard formulation that has been used for quantum annealing so far. First of all, there is no need for removing the constraints through the penalty method, which in turn increases the number o |
le strength of materials \cite{dogbone1,dogbone2}. That is, when a stress is applied to the dogbone-shape of a certain material, a crack, if generated, will occur at the middle part of the dogbone. The large strain concentrated at the narrow area located a | ng a passive entity, a realistic eavesdropper scenario is the one where nothing about the eavesdropper's channel is known, neither its existence, nor its channel state information (CSI). However, the existing work on secrecy rate characterization assumes o |
wire (single wire or array) of the nano strain-amplifier can be considered as solid springs, Fig. \ref{fig:fig1}(d). The stiffness of these springs are proportional to their width ($w$) and inversely proportional to their length (l): $K \propto w/l$. Conse | ntal and modeling investigations have been carried out to acquire a more comprehensive understanding of VFRBs. The cell/electrode design, cycle life, and power efficiencies have been continuously optimized \cite{rychcik1988characteristics,luo2008preparati |
-known in classical physics that, for serially connected springs, a larger strain will be concentrated in the low--stiffness string, while a smaller strain will be induced in the high--stiffness string \cite{Springbook}. The following analysis quantitative | parsimonious representations have been proposed, \emph{e.g.,} the so-called \emph{compound symmetry} which assumes the same correlation among different levels of the same categorical variables. Using such an approach and the Gower distance \citep{Gower197 |
el{fig:fig2}
\end{figure}
When a tensile mechanical strain ($\varepsilon_{sub}$) is applied to the substrate, the released structure will also be elongated. Since the stiffness of the released frame is much smaller than that of the substrate, it is safe | r timescale, then feedback can easily account for most of halo dust in \n891.
For example, if the disk of \n891 was assembled at $z \lower2pt\hbox{$\buildrel {\scriptstyle <\ 2$, and the SFR has steadily declined
over the last 10.3~Gyr, then the dust can |
ent}
\end{equation}
where $L_m$, $L_n$ are the length; $\Delta L_m$, $\Delta L_n$ are the displacement; and $\varepsilon_m$, $\varepsilon_n$ are the strains induced into the micro spring and nano spring, respectively. The subscripts m and n stand for th | ation:
$$\begin{tikzcd}[arrows = {decorate = false, decoration={snake, segment length=2mm, amplitude=0.25mm}}, /tikz/column 1/.append style={anchor=base east}]
M: & \arrow[dash, decorate = true]{l} \bullet \arrow{r}{m_L} & \bullet \arrow[equal]{d} & & {}\\ |
f the released micro frames and nanowires, respectively. Consequently the relationship between the displacement of the micro frame (higher stiffness) and nanowires (lower stiffness) is:
\begin{equation}
\frac{\Delta L_m}{\Delta L_n}=\frac{K_n}{K_m}=\frac | } i_{j-2k}-i_{j-2k-1}$.
\item $\sum_{i=n_1}^{\ell-2}\gamma_i+\gamma_{\ell-1}+\gamma_{\ell},\ |S\cap\lrbr{n_1,\ldots,\ell-2}|\in 2\mathbb{Z},\ n_1\leq \ell-3$. These contribute to $-\delta^c_{\ell-3}+2\delta^c_{\ell-2}-\delta^c_{\ell-1}-\delta^c_{\ell}$ onl |
w_m-w_n}{w_m}\frac{L_m}{L}}\varepsilon_{sub}
\label{eq:strainamp}
\end{equation}
Equation \ref{eq:strainamp} indicates that increasing the ratio of $w_m/w_n$ and $L_m/L_n$ significantly amplifies the strain induced into the nanowire from the strain a | dertilde{H}{}^2(\Omega)$.
\end{remark}
\subsection{Mixedization of Problem (B$'$)}
We simply repeat the procedure for Problem {\bf (A$'$)}. Define
$$
U:=H^1_0(\Omega)\times H_0({\rm curl},\Omega)\times \undertilde{H}{}^1_0(\Omega)\times H_0({\rm curl}, |
we compare the strain induced into (i) non released nanowires, (ii) the conventionally released nanowires, and (iii) our nano strain-amplifier structure, using COMSOL Multiphysics \texttrademark. In our nano strain amplifying structure, the width of the r | 2} V_{\pm} \phi^\o \big\|_{L^\infty ([j,j+1]; L_x^r(\mathbb{T}^2) )} > \lambda \big) \leq C \exp \bigg( -c \frac{\lambda^2}{j^{-2\b_1} \| \phi \|^2_{H^{\b_2+\varepsilon}(\mathbb{T}^2)}} \bigg), \]
for any $\lambda > 0$.
\end{lemma}
\begin{proof}
By the Sc |
uent experimental demonstration easier. The ratio between the length of nanowires and micro bridge was set to be 1: 20. With this geometrical dimensions, strain induced into nanowires array $\varepsilon_n$ was numerically calculated to be approximately 6 t | detected in ALMA-TM2 ($\sim$1.2\arcsec), resolved out at the highest observing resolution (ALMA-TM1; $\sim$ 0\farcs3). So, to identify the substructures from the dust continuum images, we applied a range of uv-tapering on the combined ALMA data from 100~k$ |
o conventional released and non-released structures. Furthermore, the ratio of the strain induced in to the locally fabricated nanowires was estimated to be 5.9 times larger than that of the substrate, Fig. \ref{fig:fig2}. These results are in solid agreem | }{20} & \multicolumn{1}{c}{40} & \multicolumn{1}{c}{60} & \multicolumn{1}{c}{20} & \multicolumn{1}{c}{40} \\
\cmidrule(lr){1-2} \cmidrule(lr){3-5} \cmidrule(lr){6-7} \cmidrule(lr){8-10} \cmidrule(lr){11-12}
& & \textbf{61.8} & 55.4 & 46.9 & 60.6 & 46.4 |
igh sensitivity of SiC nanowire strain sensors using the nano strain-amplifier. A thin 3C-SiC film with its thickness of 300 nm was epitaxially grown on a 150 mm diameter Si wafer using low pressure chemical vapour deposition \cite{SiC_growth}. The film wa | the class of Markov processes where the state evolution jumps between levels and the process adheres to the Markov property. However, in many real-world applications, we need a stochastic process that exhibits dependence between jump times. For instance, |
te{Phan_JMC}. Subsequently, I-shape p-type SiC resistors with aluminum electrodes deposited on the surface were patterned using inductive coupled plasma (ICP) etching. As the piezoresistance of p-type 3C-SiC depends on crystallographic orientation, all SiC | eaker versus a random speaker of the same sex. Using bootstrapping (\textit{n} = 1,000) we show that the voice differences within the same speaker are significantly smaller compared to a voice of a random speaker of the same sex (Figure \ref{fig3}C). The r |
he centre of the released bridge using focused ion beam (FIB). Two types of nanowire array were fabricated with three nanowires for each array. The average width of each nanowire in each type were 380 nm and 470 nm, respectively. Figure \ref{fig:fig3} show | l_\mathfrak{p}},\mathfrak{p}}^\times}\right)\cdot
e(\mathcal{O}_{-a_0\mathfrak{p}^{2\ell_\mathfrak{p}},\mathfrak{p}},O_{B_\mathfrak{p}}),
$$
and
\begin{eqnarray}
\int_{K_{x,\infty}^\times \backslash B_\infty^\times} \varphi_\infty^o(y b_\infty^{-1}xb_\inft |
nsors. (a) Released SiC micro bridge used for the subsequent fabrication of the nano strain-amplifier; (b) SEM of a micro SiC resistor where the SiC nanowires array were formed using FIB; (c) SEM of non-released SiC nanowires; (d) SEM of locally fabricated | layers only claim edges from $\partial T$ by assumption, we naturally redefine free edges to be unclaimed edges from $\partial T$ (instead of all unclaimed edges in $T^*$) for the remainder of this subsection. For $j=1,2,\ldots,N-1$, level $j$ is \emph{com |
linear relationship between the applied voltage and measured current, indicated that Al made a good Ohmic contact with the highly doped SiC resistance, Fig. \ref{fig:IV}. Additionally, the electrical conductivity of both nanowires and micro frame estimated | m{y}_0^{k_0},...,\bm{y}_j^{k_j},\bm{y}_{>j}^K)}{\partial\bm{y}_i^{k_i}\partial\bm{y}_{j}^{k_j}}\overleftarrow{\bm{y}_{j}^{k_j+1}}$\;
$\quad\quad\quad\overleftarrow{\bm{y}_j^{k_j}}\leftarrow\overleftarrow{\bm{y}_j^{k_j+1}}+\alpha \frac{\partial^2 \mathcal{L |
h=3in]{Fig4}
\vspace{-1.5em}
\caption{Current voltage curves of the fabricated SiC resistors.}
\label{fig:IV}
\end{figure}
The bending experiment was used to characterize the piezoresistive effect in micro size SiC resistors and locally fabrica | ,
\]
and observe that if $M>C_1$, then
\[
(L+C_1,-\ep^{-1},\ep^{-1}\eta)\in\cF^\rN(M,z,\gl).
\]
Assume that $M>C_1$.
Since $(\mu_1,\mu_2)\in\cP^\rN\cap\cG^\rN(M,z,\gl)'$, we get
\[
0\leq \lan\mu_1,L+C_1-\gl \ep^{-1}\eta(z)\ran
+\lan\mu_2,-\ep |
nd of the Si cantilever was approximately 45 mm. The strain induced into the Si substrate is $\varepsilon_\text{sub} = Mt/2EI$, where $M$ is the applied bending moment; and $t$, $E$ and $I$ are the thickness, Young's modulus and the moment of inertia of th | \dot \phi$ as can be verified explicitly.
Incidentally, the relation (\ref{pi-0alpha}) is utilized to derive some useful Poisson brackets such as
$\{ g_{\mu\nu}, b_\rho^\prime \}_P$ etc.
Using the Hamiltonian $H_T$, Eq. (\ref{Second1}) provides us with |
on{Experimental results. (a) A comparision between the relative resistance change in the nano strain-amplifiers, non released nanowires and released micro frames; (b) The repeatability of the SiC nanowires strain sensors utilizing the proposed structure.}
| t{\mathbf{x}}(t) = T\mathbf{x}(t)$, $\Hat{A}_i = TA_i$, $\Hat{K}_i = TK_i$, for $i=1,\ldots,\pdim$, and $\Hat{C} = CT^{-1}$. Then the asLPV-SSA $\Hat{\mathcal{S}} = (\{\Hat{A}_i,\Hat{K}_i\}_{i=1}^{\pdim},\Hat{C},I,\mathbf{e})$ is also a realization of $(\m |
d samples, the relative resistance change shows a good linear relationship with the applied strain ($\varepsilon_{sub}$). In addition, with the same applied strain to the Si substrate, the resistance change of the SiC nanowires using the nano strain-amplif | hrm{argmax}} \cos(f_v(g(I^t)), s_{y^{t}}).
\vspace{\eqsep}
\label{eq:nns}
\end{align}
\subsection{Comparisons with Related Work}
The closest studies to our AURL are SoTA \cite{brattoli2020rethinking}, MUFI \cite{qiu2021boosting}, and ER \cite{chen |
n the nano strain-amplifier as well as conventional structures were then quantitatively evaluated based on the effective gauge factor ($GF_{eff}$), which is defined as the ratio of the relative resistance change to the applied strain to the substrate: $GF_ | iint_{\mathbb{R}^2}\mathbf{T}_1(\eta_1,\eta_2,\xi-\eta_1-\eta_2)\frac{\partial_{\xi}\Phi}{i\partial_{\eta_1}\Phi} e^{it\Phi} \partial_{\eta_1}\hat h_{j_1}^{\iota_1}(\eta_1)\hat h_{j_2}^{\iota_2}(\eta_2)\hat h_{j_3}(\xi-\eta_1-\eta_2)\upsilon_{\iota_3}(\xi) |
Subsets and Splits
No community queries yet
The top public SQL queries from the community will appear here once available.