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Note that this set is actually the output of the, : some predefined sets of values for the spacetime metric can be used by giving the metric name or a portion of it; currently these are. is an invertible × More generally, V can be taken over an arbitrary field of numbers, F (e.g. ) j On components, these operations are...
# Special Aircraft Service ## Battlefield - Airborne - Tactical (BAT) => BAT Tech Help => Topic started by: MrStitch on September 22, 2017, 12:46:29 PM Title: Missing missions and Vp modpack install for B.A.T. [not a bug] Post by: MrStitch on September 22, 2017, 12:46:29 PM Hi guys, im a bit new here but wanted to as...
## Thoughts on Google in China I stumbled upon this MIT Technology Review article: https://www.technologyreview.com/s/612601/how-google-took-on-china-and-lost/. It was quite accurate and well-written. I have put it in my reprints section. Link: https://gmachine1729.com/reprints/how-google-took-on-china-and-lost/. I r...
# What are some good ways of presenting web designs to a client? I'd like to ask you how you manage with presenting webdesign. Usually, I send a jpg file/files to client directly to the mail, but this isn't the best approach. In most cases it does the job, but I've experienced some cases that didn't. Let's say I've s...
MathSciNet bibliographic data MR507929 46L05 (47G05 58G12) Dynin, Alexander Inversion problem for singular integral operators: \$C\sp{\ast} \$$C\sp{\ast}$-approach. Proc. Nat. Acad. Sci. U.S.A. 75 (1978), no. 10, 4668–4670. Links to the journal or article are not yet available For users without a MathSciNet license , ...
# Look for airplane design: Take off@12000 feet ### Help Support HomeBuiltAirplanes.com: #### gouxin ##### Active Member Why? Very simple: I want to fly in the Tibetan area and bring up kids in that area to let them see their hometown from an aspect where they've never seen before. To realize this dream I need an ai...
# Conduction in a Plane Sheet Note To view this project in FLAC3D, use the menu command Help ► Examples…. Choose “Thermal/PlaneSheetConduction” and select “PlaneSheetConduction.f3dprj” to load. The project’s main data files are shown at the end of this example. A plane sheet of thickness $$L$$ = 1 m is initially at ...
## FANDOM 476 Pages Volume is the amount of space something occupies. ## Volume of a PrismEdit $area of cross section * length$ ## Volume of a SphereEdit $4/3 * pi * r^3$ ## Volume of a ConeEdit $1/3 * pi * r^2 * h$
## What is a Map A Map data structure allows to associate data to a key. ## Before ES6 ECMAScript 6 (also called ES2015) introduced the Map data structure to the JavaScript world, along with Set Before its introduction, people generally used objects as maps, by associating some object or value to a specific key val...
# Rao-Blackwell-Kolmogorov theorem A proposition from the theory of statistical estimation on which a method for the improvement of unbiased statistical estimators is based. Let $X$ be a random variable with values in a sample space $( \mathfrak X , {\mathcal B} , {\mathsf P} _ \theta )$, $\theta \in \Theta$, such th...
# A question about invertible matrices A square matrix $A$ over the reals is said to be invertible in practice if there exists a matrix $B$ of the same size s. t. all the entries of $AB$ differ from the corresponding entries of the identity matrix $E$ less than or equal to $10^{-10}$. Does there exist invertible in pr...
yatish gosai ☆ India, 2019-05-22 07:49 Posting: # 20289 Views: 3,235 ## Impartial Witness in BABE study [GxP / QC / QA] Can Husband act as an Impartial witness for Screening and Enrollment of his wife in BABE study? Yatish Gosai QA Professional Ohlbe ★★★ France, 2019-05-22 10:48 @ yatish gosai Posting: # 20290 ...
• entries 19 27 • views 21491 # Android, Pyweek and Seperate Axis Theorem 751 views [BLURB:] Sooooo... Perhaps I should work on smaller projects... hmmm. In any case, spent some time taking a look into python on Android, tried the pyweek challenge, and NAILED THE HELL out of SATs... not the school education kind. [...
# Probability measure on $\mathcal{P}(\mathbb{R})$ This question has been bugging me for a while? Does there exist a probability measure on the measurable space $\bigl(\mathbb{R},\mathcal{P}(\mathbb{R})\bigr)$. If so, what is it? - Yes, $\delta_0$ for example. (Dirac at $0$). I guess you want additional conditions. –...
With the school year starting, I can’t keep up with the one-post-a-day frequency anymore. Still, I want to keep plowing ahead towards class field theory. Today’s main goal is to show that under certain conditions, we can always extend valuations to bigger fields. I’m not aiming for maximum generality here though. Ded...
## What an Author needs to know about LaTeX 21 Apr This post is for authors who choose a publisher who likes to use LaTeX for layout, and want to make changes to the marked up source directly.  It is quite easy to edit LaTeX files, as long as you just know a few things to avoid.  Here is the minimum you need to know ...
Microbial 'omics Brought to you by # anvi-experimental-organization [program] Create an experimental clustering dendrogram.. See program help menu or go back to the main page of anvi’o programs and artifacts. ## Usage This program can use an anvi’o clustering-configuration file to access various data sources in a...
# Verify correctness of quantifier elimination, using SAT Let $x=(x_1,\dots,x_n)$ and $y=(y_1,\dots,y_n)$ be $n$-vectors of boolean variables. I have a boolean predicate $Q(x,y)$ on $x,y$. I give my friend Priscilla $Q(x,y)$. In response, she gives me $P(x)$, a boolean predicate on $x$, and she claims that $$P(x) \eq...
## haganmc Group Title how to solve this diff equation?? dx/dt−x^3=x one year ago one year ago 1. lgbasallote Group Title have you tried Bernoulli's? 2. Algebraic! Group Title dx/dt = x+x^3 divide by x+x^3 multiply by dt 3. haganmc Group Title the final answer should be $x=\pm \sqrt{C ^{2t}/(1-Ce ^{2t})}$ 4. iro...
# Creating a TeXForm/TraditionalForm/etcForm - like function How could we go about creating a function that behaves like those? After a while thinking, my best try is with CellPrint printing an Output cell with the famous CellLabel of Out[blah]//myForm. This solution is good enough for me for now, but I'm using it as...
#### Volume 12, issue 4 (2012) Mutation and $\mathrm{SL}(2,\mathbb{C})$–Reidemeister torsion for hyperbolic knots
# zbMATH — the first resource for mathematics ##### Examples Geometry Search for the term Geometry in any field. Queries are case-independent. Funct* Wildcard queries are specified by * (e.g. functions, functorial, etc.). Otherwise the search is exact. "Topological group" Phrases (multi-words) should be set in "strai...
## Monday, February 19, 2007 ### Andrei Linde: eternal feast This press release of Stanford University is certainly more serious than the "solution" to the twin paradox but it is still kind of amusing: While Alan Guth has discovered that the Universe is the ultimate free lunch, Andrei Linde has improved this theory. ...
# Simple probability proof using conditional probabilities • February 12th 2010, 03:08 PM sirellwood Simple probability proof using conditional probabilities Im terrible at proofs.... Use the definition of conditional probabilities to prove that any events A, B, C, D, E and F, P(A $\cap$B $\cap$C $\cap$D $\cap$E $\c...
## Christopher Duffy ; Sonja Linghui Shan - On the existence and non-existence of improper homomorphisms of oriented and $2$-edge-coloured graphs to reflexive targets dmtcs:6773 - Discrete Mathematics & Theoretical Computer Science, March 29, 2021, vol. 23 no. 1 - https://doi.org/10.46298/dmtcs.6773 On the existence a...
# Cebu to Bohol Cebu and Bohol are both located in the Central Visayas region, 90 kilometers apart. When talking about going from Cebu to Bohol we mean going from Cebu City, on Cebu Island, to the port in capital of Bohol Island, Tagbilaran. The two popular destinations are separated by the Cebu Strait, and unless you...
InTechOpen uses cookies to offer you the best online experience. By continuing to use our site, you agree to our Privacy Policy. Mathematics » "Optimization Algorithms - Methods and Applications", book edited by Ozgur Baskan, ISBN 978-953-51-2593-8, Print ISBN 978-953-51-2592-1, Published: September 21, 2016 under CC ...
## Introduction In the recent years, soft robotics has emerged as a candidate to create novel robotic systems with pre-programmable capabilities, while capable of withstanding large deformations. These systems have shown to be potentially useful in diverse application fields ranging from bio-inspired robotic systems1,...
# That $|a|\leq|b|$ implies existence of complex $z$ satisfying $|z-a|+|z+a|=2|b|$? I'm looking at the equation $|z-a|+|z+a|=2|b|$. If there are complex values $z$ satisfying this equation, then $$2|b|=|z-a|+|z+a|=|a-z|+|z+a|\geq|(a-z)+(z+a)|=|2a|=2|a|$$ so $|a|\leq |b|$. However, how is the converse true, that if $|...
# Draw Bezier Curve Python An additional function called curveTightness() provides control for the visual quality of the curve. Repeated subdivision of the curve shrinks the arc length interval, up to arbitrary close precision. I developed a customizable picture frame as a testbench for my work. Rectangle iii. The Bez...
# The Book Thief Why did Hans risk frightening Liesel terribly? ##### Answers 1 I'm unsure where in the book exactly you are referring to. I think it might be where Hans tells Liesel to be quiet not to betray Max in their basement.
# Papers' abstracts for Robert Krauthgamer ## Stochastic Selection Problems with Testing Chen Attias, Robert Krauthgamer, Retsef Levi and Yaron Shaposhnik. We study the problem of a decision-maker having to select one of many competing alternatives (e.g., choosing between projects, designs, or suppliers) whose futur...
# Totally bounded set Main Article Discussion Related Articles  [?] Bibliography  [?] Let X be a metric space. A set ${\displaystyle A\subset X}$ is totally bounded if for any real number r>0 there exists a finite number n(r) (that depends on the value of r) of open balls of radius r, ${\displaystyle B_{r}(x_{1}),\ldo...
# Is it OK to answer a question with a higher level of mathematics than I expect the OP to know? I saw this post, and I am pretty sure that it comes from a setting of a first year student. I wanted to answer this question by using Galois theory (though an overkill I think its more elegant since there are little calcu...
2109.11311
\section{Experiments} \label{sec:exp} \begin{table*}[h] \begin{center} \resizebox{1\textwidth}{!}{% \begin{tabular}{c|cc|cccccccccccc} \hline & OA & mIoU & Ground & Wall & Ceiling & Sign & Barrier & Box & Fence & Platform & Door & Mur. Light & Elec. Box & Extin.\\ \hline SPG \cite{landrieu2018largescale} & 9...
1711.04083
\section{Introduction} Hard optimization problems are ubiquitous throughout the sciences and engineering, and have consequently been the subject of intense theoretical and practical study. While it is generally considered highly unlikely that problems classified as NP-hard can be solved efficiently for all members of ...
1711.04007
\section{Introduction}\label{sec:Introduction-shell} Globular clusters (GC) are found in the halo of the Milky Way orbiting around the Galactic core. They are generally composed of old, low-mass stars bound together by gravity. The composition of these stars may vary between clusters, but in average, GCs have subsolar...
1711.04364
\section{Introduction} \label{sec:intro} In this work we focus on the dynamics and interactions of a system of $N$ ($N\geqslant 2$) immiscible incompressible fluids in an unbounded flow domain. In order to numerically simulate such problems it is necessary to truncate the domain to a finite size. Consequently, part...
1805.08353
\section{Introduction} Many methods to obtain sentence embeddings have been researched in the past. Some of these include Hamid at al. \cite{5}. who have used LSTMs and Ozan et al. \cite{6} who have made use of the recursive networks. Another approach used by Mikolov et al. \cite{6} is to include the paragraph in the ...
2009.07664
\section{Introduction} Bio-signals, such as Electroencephalograms and Electrocardiograms, are multivariate time-series generated by biological processes that can be used to assess seizures, sleep disorders, head injuries, memory problems, heart diseases, just to name a few \cite{nait2009advanced}. Although clinicians...
1805.09346
\section{INTRODUCTION} \label{sec:intro} The Event Horizon Telescope\footnote{\indent http://www.eventhorizontelescope.org/} (EHT) is a very-long-baseline interferometry (VLBI) experiment operating at observing frequencies of 230 and 345~GHz\cite{2009astro2010S..68D}. The EHT aims to study the immediate environment o...
1004.1860
\section{Introduction} The purpose of this paper is to determine the signature pair (defined momentarily) for Hermitian polynomials arising from group-invariant CR mappings from spheres to hyperquadrics. Let $\Gamma$ be a finite subgroup of the unitary group $U(n)$. Let $S^{2n-1}$ denote the unit sphere in $\mathbb{C...
1807.11215
\section{Conclusion} This work proposes a comprehensive analyze on how a DNN can describe emotional states. To this purpose, we first studied how many dimensions are sufficient to accurately represent an emotion resulting from a facial expression. We then conclude that three dimensions are a good trade-off between accu...
2211.01326
\section{Introduction} Let $\mathcal{A}$ and $\mathcal{B}$ be two complex $\ast $-algebras. For $a,b\in \mathcal{A}$ (resp., $a,b\in \mathcal{B}$) denote by $a\filledsquare _{\eta} b=a^{*}b+\eta ba^{*}$ and $a\circ _{\eta} b=ab+\nu ba,$ where $\eta ,\nu $ are nonzero complex numbers. We say that a mapping $\Phi:\mathca...
1608.06903
\section{Introduction} \setcounter{equation}{0} \hspace*{0.3in} In reliability optimization and life testing experiments, many times the tests are censored or truncated when failure of a device during the warranty period may not be counted or items may be replaced after a certain time under a replacement policy. Moreov...
1608.06741
\section{Introduction} McKean--Vlasov or mean-field SDEs are a class of stochastic differential equations where the drift and diffusion depend on the current position along the path and on the current distribution. They were derived to describe propagation of chaos in a system of particles that interact only by thei...
2205.11419
\section{Introduction} \thispagestyle{FirstPage} Recent advances in data processing and sensor development are accelerating the advent of autonomous vehicles. Perceiving the world is an important issue for an autonomous vehicle, and using LiDAR sensors is an appealing choice, because of the accurate depth information...
2001.00089
\section*{Acknowledgments} \jpd{Apparently these don't count toward the page limit for the body of the paper, ``It has now been decided that the acknowledgments section might appear after the 9th page (along with references). The paper checker has been updated accordingly.''} Dickerson, McElfresh, and Schumann were sup...
2001.00203
\section{Introduction} Before reviewing the work I did with Ernest Henley, I would like to recount some personal memories of how I came to know him and how it came about that we worked together on baryon properties for over a decade. During the academic year 1980/1981, I and two fellow students from the Universit...
1510.09180
\section{Introduction} \label{intro} The \textit{Kepler} observatory began science operation in May 12, 2009, with the main scientific goal of discovering exoplanet candidates transiting their host stars. The \textit{Kepler} Input Catalog (KIC, \citealt{Brow11}) includes $\sim$150\,000 targets. The \textit{Kepl...
1510.09196
\section{Kinetic theory for inertial particle production} The formulation of a kinetic theory approach to the problem of nonequilibrium particle production in strong fields has been advanced recently in studies of the dynamical Schwinger effect for $e^{+}e^{-}$ plasma creation in high-intensity lasers \cite{Blaschke:2...
cond-mat/9702221
\section{Introduction} Recent developments in photoelectron spectroscopy have challenged the apparent simple truth that the Fermi surface of cuprate superconductors is simply the one corresponding to LDA band structures with the only effect of the closeness to the Mott-Hubbard insulator being a moderate correlation na...
1912.00616
\section{Introduction} \label{sec:intro} The cosmic inflation has emerged as a successful paradigm to resolve various issues in the standard model of cosmology, including the horizon and flatness problems. Inflation can explain the origin of inhomogeneities observed in cosmic microwave background and the structure f...
1712.01663
\section{Introduction \label{introduction}} As remarked in \cite{Lookman2016}, a key element of developing advanced materials is to learn from materials knowledge and available materials data to guide the next experiments or calculations in order to focus on materials with targeted properties. Traditionally, materials...
2302.11600
\section{Introduction} \label{intro} From the gravitational form factors (GFF) of the energy-momentum tensor, it is found that there is a correspondence between the rest-energy decomposition and that of the equilibrium condition. We shall explore the roles the trace anomaly plays from such a correspondence and point ...
1310.3732
\section{Introduction} \label{Sec:Intro} Geo-neutrinos are electron antineutrinos that come from radioactive decays in the Earth's interior. Their sources are natural $\beta^{-}$-decays of nuclides including the three most heat producing elements, $^{238}$U and $^{232}$Th families, and $^{40}$K, following the sche...
1310.3622
\section{Introduction} The interplay between mechanical and electronic effects in carbon nanostructures has been studied for a long time (e.g., \cite{Ando2002,GuineaNatPhys2010,castroRMP,Pereira1,Vozmediano,deJuanPRL2012,Asgari,r2,Peeters1,Peeters2,Peeters3}). The mechanics in those studies invariably enters within th...
1112.1519
\section*{Introduction} Let $(X,\omega)$ be a compact K\"ahler manifold of complex dimension $n \in \mathbb{N}^*$. Recall that a $(1,1)$-cohomology class is {\it big} if it contains a {\it K\"ahler current}, i.e. a positive closed current which dominates a K\"ahler form. Fix $\alpha \in H^{1,1}(X,\mathbb{R})$ a bi...
1112.1025
\section{Introduction} \label{sec:Intro} OH~231.8+4.2 (hereafter OH231) is an O-rich late spectral type (M) central star (Mira variable, QX Pup) with bipolar high-velocity dust and gas outflows~\citep{2001A&A...373..932A}, filamentary structures observed in scattered and molecular line emission, and large angul...
1508.03106
\section{Introduction} Classification plays an important role in many aspects of our society. In medical research, identifying pathogenically distinct tumor types is central to advances in cancer treatments \citep{Golub.99, alderton2014breast}. In cyber security, spam messages and virus make automatic categorical de...
1508.03207
\section{Introduction} The coupling of non-relativistic field theories to curved backgrounds was initially investigated with the motivation of establishing a covariant framework. In recent years, such minimally coupled theories have gained a renewed importance due to its major applications in the field of condensed mat...
1705.07302
\section{Introduction} One of the many unexpected results to emerge from studies of exo\-planets this century has been the discovery of orbits that are not even approximately coplanar with the stellar equator (cf., e.g., \citealt{Winn15}). The tool traditionally most commonly used to investigate the relative orientat...
cond-mat/9907362
\section{Introduction} Magnetic excitation spectra of colossal magnetoresistance (CMR) manganites in the ferromagnetic metal phase attract our attention in the point whether they can be understood by the conventional double-exchange (DE) mechanism. For (La,Sr)MnO$_3$ and (La,Pb)MnO$_3$ where $T_{\rm c}$ is relatively ...
cond-mat/9907191
\section{Introduction} Proteins are heteropolymers that exbihit surprising thermodynamic and kinetic properties. The first aspect is that the lowest free energy conformation of a protein is assumed to be the unique native structure and to be thermodynamically stable \cite{Anfinsen1961}. A major challenge in theoret...
hep-ph/9907431
\section{Introduction} \vspace*{-0.5pt} High experimental accuracy achieved in the last years allows to test the Standard Model on the level of quantum corrections. Therefore to improve the accuracy of predictions within this model is of urgent need. The calculation of mass-dependent radiative corrections is complic...
hep-ph/9907562
\section{Neutrinogenesis} Let's consider in more detail how the quantity of left- and right- handed $B$ and $L$ change in the early Universe, as illustrated in figure \ref{bild} for a Universe with $( B \! - \! L )=0$. Initially, some process (e.~g.\ at the GUT-scale) produces a total baryon number $B$ and lepton ...
1903.11855
\section{Introduction} The Cuntz-Pimsner $C^*$-algebras were first introduced by Pimsner in \cite{pimsner12class} and further studied by Katsura in \cite{katsura2004c}. The Cuntz-Pimsner algebra is constructed from a $C^*$-correspondence and comes equipped with a natural gauge action. In a recent article, Chirvasitu...
1911.00654
\section{Introduction}\label{sec:intro} Dust is an intrinsic component of the interstellar medium (ISM) and plays important roles in astrophysics. Dust grains absorb and scatter starlight, and infrared emission from heated dust grains is a powerful probe of star and planet formation. Photoelectric effect from small dus...
2006.01150
\section{Introduction} On August 17th 2017, advanced LIGO and Virgo observed the first gravitational wave signal from a binary neutron star (NS) merger \citep{gw170817}. This event, named GW170817, was followed by a short duration gamma-ray burst, GRB170817A, and, 9 days later, by a non-thermal afterglow emission, vi...
1511.02525
\section{Introduction} A sensor network consists of a large number of low-cost autonomous devices, called \emph{sensors}. Communication between the sensors is performed by wireless radio with very limited range, e.g., via the Bluetooth protocol. To make the network connected, a number of additional devices, called \em...
1812.07439
\section{Introduction}\label{sec:intro} Probabilistic programming \cite{gordon2014probabilistic,goodman2008church,wood2014a,dippl,murray2018delayed} is a programming paradigm for expressing probabilistic models. A \emph{\gls{ppl}} includes two constructs: one for \emph{sampling} from probability distributions, and one...
1812.07260
\section{Introduction} \IEEEPARstart{I}{mage} segmentation is not a trivial task, especially for images that contain multiple objects and cluttered backgrounds. Interactive image segmentation, or image segmentation with human in the loop, can make the region of interest more clearly defined for obtaining accurate segme...
1812.07363
\section{Introduction} Face detection is one of the important topics in the field of computer vision. It plays a fundamental role in basically all face related applications. Face detection is the problem of determining the presence of faces in images and their precise locations. Face detection is confronted with differ...
1905.03597
\section{Introduction and problem setting} Let $\Omega\subset\R^n$ be bounded, $p\geq2$ and $g\in W^{1,p}(\Omega)$. Consider the following minimization problem \begin{equation}\label{eq:BL:min} \EuScript{E}(u) \coloneqq\frac1p\int_\Omega|\nabla u|^p \d x \longrightarrow \min \end{equation} in the class $\EuScript{...
2103.03542
\subsection{Primer on CSS Processing} \label{subsec:primer} In our system, the terminal transmits a linear upchirp signal with a bandwidth $BW$ to the MAV with backscatter tags. A tag backscatters the signal with a frequency shift $f_0$ for preventing the interference from the excitation signal. Multiple tags have diff...
0812.0203
\section{Introduction} \label{sec:intro} The non-local correlations of a quantum mechanical system are encoded in the behavior of the entanglement properties of its wave functions. A pure quantum state of a bipartite system $A\cup B$ defines a mixed state in the observed region $A$ obtained from tracing out the deg...
0812.0945
\section{Introduction} \label{intro} Circumstellar disks around young Pre-Main Sequence (PMS) stars have been deeply studied since the discovery of their infrared emission \citep{Mendo66,Mendo68}. Until now, several disk models have been developed and a large number of star-forming regions have been observed, in order...
0812.1253
\section{Introduction} There is a new paradigm in Big Bang Nucleosynthesis (BBN) studies which promises enhanced probes of the early universe and a window into new physics. In the past, BBN predictions have been used to place constraints on the baryon number at three minutes after the Big Bang. This was done by comp...
0812.1112
\section{Introduction} In the Standard Model, SM, transition rates of semileptonic processes such as $d^i \to u^j \ell \nu$, with $d^i$ ($u^j$) being a generic down (up) quark, can be computed with high accuracy in terms of the Fermi coupling $G_F$ and the elements $V_{ji}$ of the Cabibbo-Kobayashi Maskawa (CKM) m...
0812.0216
\section{Introduction} In an earlier communication \cite{fecr} we had introduced the augmented space recursion (ASR) \cite{asr} based orbital peeling method (OP) \cite{burke} as an useful and numerically accurate method for the calculation of the `pair energies'. This allowed us to map the binary alloy problem on...
2005.03095
\section{Introduction} Facility location games lie in the intersection of AI, game theory, and social choice theory. The basic version of the problem has been widely studied in the literature \cite{Mo80, barbera1994characterization, schummer2002strategy}. In this setting, a central planner has to locate a facility on...
2005.03110
\section{Introduction} \label{sec:intro} Active galactic nuclei (AGN) constitute a small fraction of super-massive black holes at the centers of galaxies. These objects are powered by accretion and a further fraction ($\sim$10\%) of AGN have highly collimated jets of fully ionized plasma that can reach scales of sever...
2212.00075
\section{Introduction}\label{sec:intro} Not only are primordial black holes (PBHs) a probe of very early-Universe physics, but they could also be the culprit behind several cosmological and astrophysical mysteries. For instance, even if they constitute only a small fraction of cold dark matter (CDM), intermediate-mass...
2212.00032
\section{Introduction} \label{sec:intro} \begin{figure*}[ht!] \plotone{jwst_muse_alma.pdf} \caption{Three-colour image of NGC~628, with ALMA CO in blue, MUSE H$\alpha$ in green, and {\it JWST} 21$\mu$m in red. The blue, red, and green boxes show the extent of each corresponding observation. The two spurs we focus on a...
0810.0175
\section{Introduction} In recent history, a substantial amount of scientific interest has been directed towards photomagnetic materials from a technological, application-oriented point of view, due to their favorable properties.\cite{sato04} Among materials displaying photo-induced spin-crossover\cite{decurtins84,decur...
0810.1114
\section{#1}\setcounter{equation}{0}} \newcommand{\vir}{\raisebox{0.75mm}{,}} \setcounter{tocdepth}{5} \numberwithin{equation}{section} \begin{document} \enlargethispage{3cm} \thispagestyle{empty} \begin{center} {\bf NONCOMMUTATIVE COORDINATE ALGEBRAS} \end{center} \vspace{0.3cm} \begin{center} Michel ...
0810.1300
\section{Introduction and outline} The development of the theory of infinite-dimensional integrable systems was a remarkable advance of mathematical physics over the last forty years. One of the key properties of such systems is that they can be written as the compatibility condition of an overdetermined linear syste...
1909.03302
\section{Introduction} Tests for goodness-of-fit, homogeneity and independence are central to statistical inferences. Numerous techniques have been developed for these tasks and are routinely used in practice. In recent years, there is a renewed interest on them from both statistics and other related fields as they ari...
2103.04013
\section{Introduction} The \textit{thin obstacle problem} studies the following system \begin{equation}\label{TOP} \begin{cases} \Delta u\le 0 &\text{ in $B_1$,}\\ u\ge 0 &\text{ on $B_1\cap\{x_d=0\}$,}\\ \Delta u=0 &\text{ in $B_1\cap(\{u>0\}\cup\{x_d\neq 0\})$.} \end{cases} \end{equation} Here we denote by $B_1$ ...
1106.5579
\section{Introduction} \label{sec:Intro} The Ising model is the prototypical model of phase transitions and as such is greatly studied \cite{Plischke1994}. Is is made up of sites interconnected along a lattice of ``bonds". Each of these sites can have spin of value $\pm 1$. The Union Jack lattice is obtained by adding...
2202.06000
\section{Acknowledgments} \bibliographystyle{ACM-Reference-Format} \section{Introduction} People with upper body motor impairments have difficulty touching an on-screen target accurately with fingers due to tremors, muscular dystrophy, or loss of arms~\cite{10.1145/3173574.3174094,10.1145/3236112.3236116}. The...
1907.06010
\section{Introduction} Imagine you are on a routine grocery shopping trip and plan to buy some bananas. You know that the store carries both good and bad bananas which you must search through. There are multiple ways you can go about your search. One way is to randomly pick any ten bananas available on the shelf, whic...
1207.5195
\section{Introduction} \newtheorem{Theorem}{Theorem}[section] \newtheorem{Lemma}[Theorem]{Lemma} \newtheorem{Corollary}[Theorem]{Corollary} \newtheorem{Definition}[Theorem]{Definition} In the theory of micromagnetics to any domain $\Omega\in \mathbb R^3$ and a unit vector field (called magnetization) $m\colon\Om...
1207.5155
\section{introduction} A \emph{repetition} of length $h$ ($h\geqslant 1$) in a sequence is a subsequence of consecutive terms of the form: $x_1\ldots x_h x_1\ldots x_h$. A sequence is \emph{nonrepetitive} if it does not contain a repetition of any length. In 1906 Thue proved that there exist arbitrarily long nonrepet...
1709.07837
\section{Introduction} Close packed structures (CPS) are OD (Order-Disorder) structures built by stacking hexagonal layers in the direction perpendicular to the layer \cite{durovic97}. The stacking ambiguity raising from the two possible positions of a layer with respect to the previous one leads to a theoretically ...
1709.07856
\section{Special Case: SDSS III CMASS Sample} \label{sec:CMASS} The SDSS III CMASS sample is one of the key target datasets where we have a large number of massive galaxies with photometric and spectroscopic observations. We use this sample as an example, computing the effects of relativistic beaming and Doppler shifti...
1709.07884
\section{Introduction} While BHs are ubiquitous in the cores of massive galaxies, the population of BHs in dwarf galaxies ($M_{\ast}<10^{9.5}M_{\odot}$) has been relatively elusive \citep{2016PASA...33...54R}. The first dwarf galaxies identified to have active galactic nuclei (AGNs) were NGC 4395 \citep{1989AJ.....97....
2205.12199
\section{Introduction} \IEEEPARstart{D}{ecision} support systems across multiple industries rely on heuristic approaches using models trained on historical data. For example, credit risk, propensity, attrition, fraud, and hospital readmission risk models classify data into two classes given a set of input features. T...
2205.12205
\section{Introduction} In recent years there has been substantial progress towards the minimal model program for complex projective varieties of arbitrary dimension \cite{BCHM10}. Unluckily, much less is known about the minimal model program for K\"ahler varieties. In dimension 3, the situation is now well understood, ...
2009.03197
\section{Introduction} For the High-Luminosity Upgrade of the Large Hadron Collider, the \mbox{ATLAS}~\cite{ATLAS} Inner Detector will be replaced with a new, all silicon Inner Tracker (ITk), composed of a pixel tracker~\cite{TDRp} and a strip tracker~\cite{TDRs}. The main component of the ITk strip tracker is the ...