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Let $mathrm{rex}(n, F)$ denote the maximum number of edges in an $n$-vertex graph that is regular and does not contain $F$ as a subgraph. We give lower bounds on $mathrm{rex}(n, F)$, that are best possible up to a constant factor, when $F$ is one of $C_4$, $K_{2,t}$, $K_{3,3}$ or $K_{s,t}$ when $t>s!$.

We relate the $L^p$-mapping properties of the Bergman projections on two domains in $mathbb{C}^n$, one of which is the quotient of the other under the action of a finite group of biholomorphic automorphisms. We use this relation to deduce the sharp ranges of $L^p$-boundedness of the Bergman projection on certain $n$-dimensional model domains generalizing the Hartogs triangle.

We study a mean field approximation for the 2D Euler vorticity equation driven by a transport noise. We prove that the Euler equations can be approximated by interacting point vortices driven by a regularized Biot-Savart kernel and the same common noise. The approximation happens by sending the number of particles $N$ to infinity and the regularization $epsilon$ in the Biot-Savart kernel to $0$, as a suitable function of $N$.

We study the regularity of exceptional actions of groups by $C^{1,alpha}$ diffeomorphisms on the circle, i.e. ones which admit exceptional minimal sets, and whose elements have first derivatives that are continuous with concave modulus of continuity $alpha$. Let $G$ be a finitely generated group admitting a $C^{1,alpha}$ action $ ho$ with a free orbit on the circle, and such that the logarithms of derivatives of group elements are uniformly bounded at some point of the circle. We prove that if $G$ has spherical growth bounded by $c n^{d-1}$ and if the function $1/alpha^d$ is integrable near zero, then under some mild technical assumptions on $alpha$, there is a sequence of exceptional $C^{1,alpha}$ actions of $G$ which converge to $ ho$ in the $C^1$ topology. As a consequence for a single diffeomorphism, we obtain that if the function $1/alpha$ is integrable near zero, then there exists a $C^{1,alpha}$ exceptional diffeomorphism of the circle. This corollary accounts for all previously known moduli of continuity for derivatives of exceptional diffeomorphisms. We also obtain a partial converse to our main result. For finitely generated free abelian groups, the existence of an exceptional action, together with some natural hypotheses on the derivatives of group elements, puts integrability restrictions on the modulus $alpha$. These results are related to a long-standing question of D. McDuff concerning the length spectrum of exceptional $C^1$ diffeomorphisms of the circle.

Classical studies on aspiration-based dynamics suggest that a dissatisfied individual changes strategy without taking into account the success of others. This promotes defection spreading. The imitation-based dynamics allow individuals to imitate successful strategies without taking into account their own-satisfactions. In this article, we propose to study a dynamic based on aspiration which takes into account imitation of successful strategies for dissatisfied individuals. This helps cooperative members to resist. Individuals compare their success to their desired satisfaction level before making a decision to update their strategies. This mechanism helps individuals with a minimum of self-satisfaction to maintain their strategies. If an individual is dissatisfied, it will learn from others by choosing successful strategies. We derive an exact expression of the fixation probability in well-mixed populations as in structured populations in networks. As a result, we show that selection may favor cooperation more than defection in well-mixed populations as in populations ranged over a regular graph. We show that the best scenario is a graph with small connectivity.

In this paper, we study the regularity criterion of weak solutions to the three-dimensional (3D) MHD equations. It is proved that the solution $(u,b)$ becomes regular provided that one velocity and one current density component of the solution satisfy% egin{equation} u_{3}in L^{frac{30alpha }{7alpha -45}}left( 0,T;L^{alpha ,infty }left( mathbb{R}^{3} ight) ight) ext{ with }frac{45}{7}% leq alpha leq infty , label{eq01} end{equation}% and egin{equation} j_{3}in L^{frac{2eta }{2eta -3}}left( 0,T;L^{eta ,infty }left( mathbb{R}^{3} ight) ight) ext{ with }frac{3}{2}leq eta leq infty , label{eq02} end{equation}% which generalize some known results.

In this paper, we give new constructions of strongly regular Cayley graphs on abelian groups as generalizations of a series of known constructions: the construction of covering extended building sets in finite fields by Xia (1992), the product construction of Menon-Hadamard difference sets by Turyn (1984), and the construction of Paley type partial difference sets by Polhill (2010). Then, we obtain new large families of strongly regular Cayley graphs of Latin square type or negative Latin square type.

We study SLE$_{kappa}$ theory with elements of Quasi-Sure Stochastic Analysis through Aggregation. Specifically, we show how the latter can be used to construct the SLE$_{kappa}$ traces quasi-surely (i.e. simultaneously for a family of probability measures with certain properties) for $kappa in mathcal{K}cap mathbb{R}_+ setminus ([0, epsilon) cup {8})$, for any $epsilon>0$ with $mathcal{K} subset mathbb{R}_{+}$ a nontrivial compact interval, i.e. for all $kappa$ that are not in a neighborhood of zero and are different from $8$. As a by-product of the analysis, we show in this language a version of the continuity in $kappa$ of the SLE$_{kappa}$ traces for all $kappa$ in compact intervals as above.

The main purpose of this paper is to study and characterize the existing of general asymptotic regional gradient observer which observe the current gradient state of the original system in connection with gradient strategic sensors. Thus, we give an approach based to Luenberger observer theory of linear distributed parameter systems which is enabled to determinate asymptotically regional gradient estimator of current gradient system state. More precisely, under which condition the notion of asymptotic regional gradient observability can be achieved. Furthermore, we show that the measurement structures allows the existence of general asymptotic regional gradient observer and we give a sufficient condition for such asymptotic regional gradient observer in general case. We also show that, there exists a dynamical system for the considered system is not general asymptotic gradient observer in the usual sense, but it may be general asymptotic regional gradient observer. Then, for this purpose we present various results related to different types of sensor structures, domains and boundary conditions in two dimensional distributed diffusion systems

In this paper we prove that any odd multigrid with non-zero rational offsets is regular, which means that its dual is a rhombic tiling. To prove this result we use a result on trigonometric diophantine equations.

Our starting point are register automata for data words, in the style of Kaminski and Francez. We study the effects of the single-use restriction, which says that a register is emptied immediately after being used. We show that under the single-use restriction, the theory of automata for data words becomes much more robust. The main results are: (a) five different machine models are equivalent as language acceptors, including one-way and two-way single-use register automata; (b) one can recover some of the algebraic theory of languages over finite alphabets, including a version of the Krohn-Rhodes Theorem; (c) there is also a robust theory of transducers, with four equivalent models, including two-way single use transducers and a variant of streaming string transducers for data words. These results are in contrast with automata for data words without the single-use restriction, where essentially all models are pairwise non-equivalent.

In this work we propose lifted regression/reconstruction networks (LRRNs), which combine lifted neural networks with a guaranteed Lipschitz continuity property for the output layer. Lifted neural networks explicitly optimize an energy model to infer the unit activations and therefore---in contrast to standard feed-forward neural networks---allow bidirectional feedback between layers. So far lifted neural networks have been modelled around standard feed-forward architectures. We propose to take further advantage of the feedback property by letting the layers simultaneously perform regression and reconstruction. The resulting lifted network architecture allows to control the desired amount of Lipschitz continuity, which is an important feature to obtain adversarially robust regression and classification methods. We analyse and numerically demonstrate applications for unsupervised and supervised learning.

This paper proposes a fully automated atlas-based pancreas segmentation method from CT volumes utilizing atlas localization by regression forest and atlas generation using blood vessel information. Previous probabilistic atlas-based pancreas segmentation methods cannot deal with spatial variations that are commonly found in the pancreas well. Also, shape variations are not represented by an averaged atlas. We propose a fully automated pancreas segmentation method that deals with two types of variations mentioned above. The position and size of the pancreas is estimated using a regression forest technique. After localization, a patient-specific probabilistic atlas is generated based on a new image similarity that reflects the blood vessel position and direction information around the pancreas. We segment it using the EM algorithm with the atlas as prior followed by the graph-cut. In evaluation results using 147 CT volumes, the Jaccard index and the Dice overlap of the proposed method were 62.1% and 75.1%, respectively. Although we automated all of the segmentation processes, segmentation results were superior to the other state-of-the-art methods in the Dice overlap.

Most studies on speaker verification systems focus on long-duration utterances, which are composed of sufficient phonetic information. However, the performances of these systems are known to degrade when short-duration utterances are inputted due to the lack of phonetic information as compared to the long utterances. In this paper, we propose a method that compensates for the performance degradation of speaker verification for short utterances, referred to as "crop aggregating". The proposed method adopts an ensemble-based design to improve the stability and accuracy of speaker verification systems. The proposed method segments an input utterance into several short utterances and then aggregates the segment embeddings extracted from the segmented inputs to compose a speaker embedding. Then, this method simultaneously trains the segment embeddings and the aggregated speaker embedding. In addition, we also modified the teacher-student learning method for the proposed method. Experimental results on different input duration using the VoxCeleb1 test set demonstrate that the proposed technique improves speaker verification performance by about 45.37% relatively compared to the baseline system with 1-second test utterance condition.

We provide a dynamical perspective on the classical problem of 3D point cloud registration with correspondences. A point cloud is considered as a rigid body consisting of particles. The problem of registering two point clouds is formulated as a dynamical system, where the dynamic model point cloud translates and rotates in a viscous environment towards the static scene point cloud, under forces and torques induced by virtual springs placed between each pair of corresponding points. We first show that the potential energy of the system recovers the objective function of the maximum likelihood estimation. We then adopt Lyapunov analysis, particularly the invariant set theorem, to analyze the rigid body dynamics and show that the system globally asymptotically tends towards the set of equilibrium points, where the globally optimal registration solution lies in. We conjecture that, besides the globally optimal equilibrium point, the system has either three or infinite "spurious" equilibrium points, and these spurious equilibria are all locally unstable. The case of three spurious equilibria corresponds to generic shape of the point cloud, while the case of infinite spurious equilibria happens when the point cloud exhibits symmetry. Therefore, simulating the dynamics with random perturbations guarantees to obtain the globally optimal registration solution. Numerical experiments support our analysis and conjecture.

In this paper, we present a novel method for line artefacts quantification in lung ultrasound (LUS) images of COVID-19 patients. We formulate this as a non-convex regularisation problem involving a sparsity-enforcing, Cauchy-based penalty function, and the inverse Radon transform. We employ a simple local maxima detection technique in the Radon transform domain, associated with known clinical definitions of line artefacts. Despite being non-convex, the proposed method has guaranteed convergence via a proximal splitting algorithm and accurately identifies both horizontal and vertical line artefacts in LUS images. In order to reduce the number of false and missed detection, our method includes a two-stage validation mechanism, which is performed in both Radon and image domains. We evaluate the performance of the proposed method in comparison to the current state-of-the-art B-line identification method and show a considerable performance gain with 87% correctly detected B-lines in LUS images of nine COVID-19 patients. In addition, owing to its fast convergence, which takes around 12 seconds for a given frame, our proposed method is readily applicable for processing LUS image sequences.

[IMAGE-1]After having their school year totally disrupted by the coronavirus pandemic, a return to some semblance of normalcy come summer is all many school-age kids and their families are looking forward to. For many, this anticipation includes annual summer camp traditions, from sleep-away adventures on the lake to fun-filled day camps for arts, learning or team sports.…

Our staff of reporters and photographers at the Inlander has been working tirelessly to cover the coronavirus pandemic and all of its implications for the Inland Northwest — on jobs, schools, employment, the restaurant industry, arts organizations, hospitals and much, much more. However, we’ve also tapped into a boundless resource that is our region’s community of writers, and in recent days they’ve shared with Inlander readers an awe-inspiring series of essays and stories that has left us inspired, hopeful, heartbroken and more than a little grateful.…

As this issue goes to press we are all staying home to battle the coronavirus.…

Weeks after being raped at a wedding — an experience already wrapped in feelings of self-blame and fear — the 18-year-old Eastern Washington University student realized something else was wrong.…

The present invention provides a method for performing regeneration of a decolorization capacity of waste clay that has been used for purification of fats and oils, and production of a thermally recyclable compound as a biofuel from oily ingredients in the waste clay at the same time in a convenient manner. That is, a method for producing purified fats and oils of the invention includes: a method for producing regenerated clay including the steps of mixing waste clay that has been used for purification of fats and oils, lower alcohol, and an acidic catalyst; and performing extraction of oily ingredients from the waste clay, and an esterification reaction between the fats and oils and/or a free fatty acid in the oily ingredients and the lower alcohol at the same time so as to regenerate a decolorization capacity of the waste clay; regenerated clay that is produced by the method for producing the regenerated clay; and a process of decolorizing the fats and oils using the regenerated clay.

The disclosure relates generally to a method for fabricating a patterned medium. The method includes providing a substrate with an exterior layer under a lithographically patterned surface layer, the lithographically patterned surface layer comprising a first pattern in a first region and a second pattern in a second region, applying a first masking material over the first region, transferring the second pattern into the exterior layer in the second region, forming self-assembled block copolymer structures over the lithographically patterned surface layer, the self-assembled block copolymer structures aligning with the first pattern in the first region, applying a second masking material over the second region, transferring the polymer block pattern into the exterior layer in the first region, and etching the substrate according to the second pattern transferred to the exterior layer in the second region and the polymer block pattern transferred to the exterior layer in the first region.

A method and circuit arrangement utilize a low latency variable transfer network between the register files of multiple processing cores in a multi-core processor chip to support fine grained parallelism of virtual threads across multiple hardware threads. The communication of a variable over the variable transfer network may be initiated by a move from a local register in a register file of a source processing core to a variable register that is allocated to a destination hardware thread in a destination processing core, so that the destination hardware thread can then move the variable from the variable register to a local register in the destination processing core.

A data processing system and method are disclosed. The system comprises an instruction-fetch stage where an instruction is fetched and a specific instruction is input into decode stage; a decode stage where said specific instruction indicates that contents of a register in a register file are used as an index, and then, the register file pointed to by said index is accessed based on said index; an execution stage where an access result of said decode stage is received, and computations are implemented according to the access result of the decode stage.

A microprocessor having performs an architectural instruction that instructs it to perform an operation on first and second source operands to generate a result and to write the result to a destination register only if its architectural condition flags satisfy a condition specified in the architectural instruction. A hardware instruction translator translates the instruction into first and second microinstructions. To execute the first microinstruction, an execution pipeline performs the operation on the source operands to generate the result. To execute the second microinstruction, it writes the destination register with the result generated by the first microinstruction if the architectural condition flags satisfy the condition, and writes the destination register with the current value of the destination register if the architectural condition flags do not satisfy the condition.

A microprocessor capable of running both x86 instruction set architecture (ISA) machine language programs and Advanced RISC Machines (ARM) ISA machine language programs. The microprocessor includes a mode indicator that indicates whether the microprocessor is currently fetching instructions of an x86 ISA or ARM ISA machine language program. The microprocessor also includes a plurality of model-specific registers (MSRs) that control aspects of the operation of the microprocessor. When the mode indicator indicates the microprocessor is currently fetching x86 ISA machine language program instructions, each of the plurality of MSRs is accessible via an x86 ISA RDMSR/WRMSR instruction that specifies an address of the MSR. When the mode indicator indicates the microprocessor is currently fetching ARM ISA machine language program instructions, each of the plurality of MSRs is accessible via an ARM ISA MRRC/MCRR instruction that specifies the address of the MSR.

A CPU executes a communication partner search process for searching for a communication partner (another game machine). The CPU confirms received data content. If identification information included in the received data matches, application identification information saved in a wireless communication module is compared with application identification information included in the received data. When the pieces of application identification information match, a notice that another game machine having exchange data corresponding to the matched application identification information is found is given to a main body. Then, giving/receiving of exchange data is executed to/from another game machine.

A network is described for providing estimates of the current time. The network includes multiple computer systems each configured to provide an estimate of the current time in response to a received request. The computer systems are logically arranged to form a hierarchical structure, wherein the hierarchical structure includes multiple levels ranked with respect to one another. Each of the computer systems is assigned one of multiple levels of trust, and occupies one of the levels of the hierarchical structure dependent upon the assigned level of trust. The level of trust assigned to a given computer system is dependent upon a timekeeping dependability of the given computer system. The assigned level of trust may also be dependent upon a timekeeping security of the given computer system, where the timekeeping security is dependent upon a tamper resistance of the time clock of the given computer system. Methods for delegating a level of trust to a new computer system (i.e., a computer system not part of the network) and for adding a new computer system to the network are also described.

The coupled resonator comprises a first low frequency resonator, such as a balance spring (1) and a second higher frequency resonator, such as a tuning fork (2), the two resonators (1 and 2) including permanent mechanical coupling means. Application to the regulating system of a timepiece.

A region growing algorithm for controlling leakage is presented including a processor configured to select a starting point for segmentation of data, initiate a propagation process by designating adjacent voxels around the starting point, determine whether any new voxels are segmented, count and analyze the segmented new voxels to determine leakage levels, and identify and record segmented new voxels from a previous iteration when the leakage levels exceed a predetermined threshold. The processor is further configured to perform labeling of the segmented new voxels of the previous iteration, select the segmented new voxels from the previous iteration when the leakage levels fall below the predetermined threshold, and create a voxel list based on acceptable segmented voxels found in the previous iteration.

The present invention relates to novel 4-pregenen-11β-17-21-triol-3,20-dione derivatives, processes for preparing them, pharmaceutical compositions containing them and their use as pharmaceuticals, as modulators of glucocorticoid or mineralocorticoid receptors. The invention relates specifically to the use of these compounds and their pharmaceutical compositions to treat disorders associated with glucocorticoid or mineralocorticoid receptor modulation.

Suspension concentrate compositions are disclosed for delivering S-(+)-Abscisic acid either alone or in combination with a second plant growth regulator to crop seed prior to planting as well as for foliar, soil drench, in-furrow and sprench (foliar spray and soil drench) applications are disclosed. The compositions, when properly combined in an aqueous carrier and processed through wet milling to achieve the desired particle size, will result in stable compositions that are desirable for treating crop seeds.

Provided is a direct thermal media containing a regular repeating pattern of color-forming thermally-imageable stripes printed parallel to the print head element line and a system for using such direct thermal media in color direct thermal printers including an optical registration system optimized for use with this media and an image processing unit that monitors the position of the stripe pattern relative to the print head and synchronizes the start of the printing process. This direct thermal media together with the optical registration system and image processing unit comprise an operative system in that the design of the thermal media, the optical registration system and image processing unit used to control printing are optimized for use with each other. This system may be utilized, for example, in color thermal printers for documents, receipts, tags, tickets or labels.

The present invention relates to a web substrate comprising an activatable colorant and at least one deformed region. A first activated color region is produced in the web substrate upon exposure to a first external stimulus and a second activated color region is produced within the first activated color region upon exposure to a second external stimulus. The second activated color region coincides with the deformed region.

Methods for creating and using space-time surrogate models of subsurface regions, such as subsurface regions containing at least one hydrocarbon formation. The created surrogate models are explicit models that may be created from implicit models, such as computationally intensive full-physics models. The space-time surrogate models are parametric with respect to preselected variables, such as space, state, and/or design variables, while also indicating responsiveness of the preselected variables with respect to time. In some embodiments, the space-time surrogate model may be parametric with respect to preselected variables as well as to time. Methods for updating and evolving models of subsurface regions are also disclosed.

An apparatus, system and method are introduced for preserving privacy of data in a dataset in a database with a number n of entries. In one embodiment, the apparatus includes memory including computer program code configured to, with a processor, cause the apparatus to form a random matrix of dimension m by n, wherein m is less than n, operate on the dataset with the random matrix to produce a compressed dataset, form a pseudoinverse of the random matrix, and operate on the dataset with the pseudoinverse of the random matrix to produce a decompressed dataset.

An external ear canal pressure regulation device including a fluid flow generator and an earpiece having a first axial earpiece conduit fluidicly coupled to the fluid flow generator, whereby the earpiece has a compliant earpiece external surface configured to sealably engage an external ear canal as a barrier between an external ear canal pressure and an ambient pressure.

An exemplary embodiment provides a regenerative burner apparatus. The apparatus includes a burner housing having a gas channel and a single-stage heat regenerator equipped with a housing enclosing a fluid-porous heat regenerative media bed. A first gas passageway in the housing directly interconnects the gas channel and the lower surface of the media bed. A second gas passageway in the housing interconnects an opening in the housing communicating with the exterior and the upper surface of the media bed. This arrangement allows hot waste combustion gases to pass upwardly through the media bed so that any condensable contaminant in the gases condenses to a liquid and flows out of the bed under gravity before becoming solid and clogging the bed. The liquid contaminant may then be removed from the regenerator from a position below the media bed.

A carriage is moved in a direction including a Y axis component in order to move a turning process tool that is attached to a tool spindle along a horizontal line that is perpendicular to a Z axis, and thus, a turning process is carried out on a workpiece which is attached to a workpiece spindle.

In certain embodiments, the present invention provides a compound power converter in which the majority of power passes from input to output through only a single stage of power conversion. At least one embodiment includes a main converter with an auxiliary output. The auxiliary output energizes a reservoir that provides input power for a supplemental converter capable supplying the main output. The supplemental converter improves regulation and can provide holdover power for Power Factor Correction (PFC) or Uninterruptible Power Supply (UPS) operation.

A voltage regulator coupled to an unregulated DC input voltage source by an input terminal, and to a load by an output terminal is disclosed. The voltage regulator converts an input voltage at the input terminal to an output voltage at the output terminal. The voltage regulator includes one or more slaves, and each slave includes a switching circuit which serves as a power switch for alternately coupling and decoupling the input terminal to an intermediate node. The voltage regulator also includes a filter coupled to the slaves, the filter including one or more inductor banks each of which having a predetermined number of inductors.

An optical disc having a region with pre-recorded data and a recordable region, a method of fabricating the disc, a stamper for forming a disc master, and a recording device for use with the disc are disclosed. Data recorded in the recordable region may be used for activation of the disc, providing unique identification or enhancing program content on the disc.

An optical disc having a region with pre-recorded data and a recordable region, a method of fabricating the disc, a stamper for forming a disc master, and a recording device for use with the disc are disclosed. Data recorded in the recordable region may be used for activation of the disc, providing unique identification or enhancing program content on the disc.

An apparatus includes a near-field transducer at or near an air bearing surface of the apparatus. A write pole is disposed at or near the air bearing surface and proximate the near-field transducer, respectively. A thermal sensor is disposed at the air bearing surface and within a protrusion region of the air bearing surface defined relative to at least one of the near-field transducer and the write pole. The thermal sensor is configured to produce a signal indicative of a temperature at the protrusion region.

The present invention provides a method for producing a highly active catalyst for reforming tar-containing gas used to treat crude gas for chemical energy conversion consisting of converting to a fuel composition consisting mainly of methane, hydrogen and the like, by utilizing sensible heat possessed by crude gas generated during thermal decomposition of carbonaceous raw materials, and using the high chemical reaction activity of high-temperature tar contained in and incidental to the crude gas to convert the tar to light hydrocarbons in the presence of a catalyst; a tar reforming method; and, a method for regenerating a catalyst for reforming tar-containing gas.

The present invention relates to compounds suitable as modulators of protein misfolding and/or protein aggregation. The compounds are particularly suitable as inhibitors of amyloid aggregate formation and/or modulators of amyloid surface properties, and/or as activators of degradation or reduction of amyloid aggregates.

The present disclosure provides a photoreactive synthetic regulator of protein function. The present disclosure further provides a light-regulated polypeptide that includes a subject synthetic regulator. Also provided are cells and membranes comprising a subject light-regulated polypeptide. The present disclosure further provides methods of modulating protein function, involving use of light.

Systems and methods for improving operation of a hybrid vehicle are presented. In one example, an electrical load may be automatically activated to consume electrical energy produced during driveline braking so that driveline braking may be extended. The electrical load may be a windscreen heater or other device.

An agricultural combine having an adjustable spreader assembly is provided that includes a spreader with one or a pair of regulators. The spreader includes a discharge opening about its lateral side. The regulator is pivotably connected to the lateral side of the spreader such that the regulator is in fluid communication with the discharge opening. The regulator can be configured to move from a retracted position to an extended position or to vary the direction of discharge of crop residue. The spreader can be a vertical spreader, a horizontal spreader, or a spread board.