We introduce an infinite-dimensional $p$-adic affine group and construct its irreducible unitary representation. Our approach follows the one used by Vershik, Gelfand and Graev for the diffeomorphism group, but with modifications made necessary by the fact that the group does not act on the phase space. However it is possible to define its action on some classes of functions.

The Gabriel-Roiter measure is used to give an alternative proof of the finiteness of the representation dimension for Artin algebras, a result established by Iyama in 2002. The concept of Gabriel-Roiter measure can be extended to abelian length categories and every such category has multiple Gabriel-Roiter measures. Using this notion, we prove the following broader statement: given any object $X$ and any Gabriel-Roiter measure $mu$ in an abelian length category $mathcal{A}$, there exists an object $X'$ which depends on $X$ and $mu$, such that $Gamma = operatorname{End}_{mathcal{A}}(X oplus X')$ has finite global dimension. Analogously to Iyama's original results, our construction yields quasihereditary rings and fits into the theory of rejective chains.

Bernstein, Frenkel, and Khovanov have constructed a categorification of tensor products of the standard representation of $mathfrak{sl}_2$, where they use singular blocks of category $mathcal{O}$ for $mathfrak{sl}_n$ and translation functors. Here we construct a positive characteristic analogue using blocks of representations of $mathfrak{sl}_n$ over a field $ extbf{k}$ of characteristic $p$ with zero Frobenius character, and singular Harish-Chandra character. We show that the aforementioned categorification admits a Koszul graded lift, which is equivalent to a geometric categorification constructed by Cautis, Kamnitzer, and Licata using coherent sheaves on cotangent bundles to Grassmanians. In particular, the latter admits an abelian refinement. With respect to this abelian refinement, the stratified Mukai flop induces a perverse equivalence on the derived categories for complementary Grassmanians. This is part of a larger project to give a combinatorial approach to Lusztig's conjectures for representations of Lie algebras in positive characteristic.

We prove that there are no irreducible representations of $B_n$ of dimension $n+1$ for $ngeq 10.$

Position encoding (PE), an essential part of self-attention networks (SANs), is used to preserve the word order information for natural language processing tasks, generating fixed position indices for input sequences. However, in cross-lingual scenarios, e.g. machine translation, the PEs of source and target sentences are modeled independently. Due to word order divergences in different languages, modeling the cross-lingual positional relationships might help SANs tackle this problem. In this paper, we augment SANs with emph{cross-lingual position representations} to model the bilingually aware latent structure for the input sentence. Specifically, we utilize bracketing transduction grammar (BTG)-based reordering information to encourage SANs to learn bilingual diagonal alignments. Experimental results on WMT'14 English$Rightarrow$German, WAT'17 Japanese$Rightarrow$English, and WMT'17 Chinese$Leftrightarrow$English translation tasks demonstrate that our approach significantly and consistently improves translation quality over strong baselines. Extensive analyses confirm that the performance gains come from the cross-lingual information.

Representation learning is a critical ingredient for natural language processing systems. Recent Transformer language models like BERT learn powerful textual representations, but these models are targeted towards token- and sentence-level training objectives and do not leverage information on inter-document relatedness, which limits their document-level representation power. For applications on scientific documents, such as classification and recommendation, the embeddings power strong performance on end tasks. We propose SPECTER, a new method to generate document-level embedding of scientific documents based on pretraining a Transformer language model on a powerful signal of document-level relatedness: the citation graph. Unlike existing pretrained language models, SPECTER can be easily applied to downstream applications without task-specific fine-tuning. Additionally, to encourage further research on document-level models, we introduce SciDocs, a new evaluation benchmark consisting of seven document-level tasks ranging from citation prediction, to document classification and recommendation. We show that SPECTER outperforms a variety of competitive baselines on the benchmark.

Recent single image unsupervised representation learning techniques show remarkable success on a variety of tasks. The basic principle in these works is instance discrimination: learning to differentiate between two augmented versions of the same image and a large batch of unrelated images. Networks learn to ignore the augmentation noise and extract semantically meaningful representations. Prior work uses artificial data augmentation techniques such as cropping, and color jitter which can only affect the image in superficial ways and are not aligned with how objects actually change e.g. occlusion, deformation, viewpoint change. In this paper, we argue that videos offer this natural augmentation for free. Videos can provide entirely new views of objects, show deformation, and even connect semantically similar but visually distinct concepts. We propose Video Noise Contrastive Estimation, a method for using unlabeled video to learn strong, transferable single image representations. We demonstrate improvements over recent unsupervised single image techniques, as well as over fully supervised ImageNet pretraining, across a variety of temporal and non-temporal tasks. Code and the Random Related Video Views dataset are available at https://www.github.com/danielgordon10/vince

Multimodal Sentiment Analysis is an active area of research that leverages multimodal signals for affective understanding of user-generated videos. The predominant approach, addressing this task, has been to develop sophisticated fusion techniques. However, the heterogeneous nature of the signals creates distributional modality gaps that pose significant challenges. In this paper, we aim to learn effective modality representations to aid the process of fusion. We propose a novel framework, MISA, which projects each modality to two distinct subspaces. The first subspace is modality invariant, where the representations across modalities learn their commonalities and reduce the modality gap. The second subspace is modality-specific, which is private to each modality and captures their characteristic features. These representations provide a holistic view of the multimodal data, which is used for fusion that leads to task predictions. Our experiments on popular sentiment analysis benchmarks, MOSI and MOSEI, demonstrate significant gains over state-of-the-art models. We also consider the task of Multimodal Humor Detection and experiment on the recently proposed UR_FUNNY dataset. Here too, our model fares better than strong baselines, establishing MISA as a useful multimodal framework.

Unsupervised learning of hidden representations has been one of the most vibrant research directions in machine learning in recent years. In this work we study the brain-like Bayesian Confidence Propagating Neural Network (BCPNN) model, recently extended to extract sparse distributed high-dimensional representations. The saliency and separability of the hidden representations when trained on MNIST dataset is studied using an external classifier, and compared with other unsupervised learning methods that include restricted Boltzmann machines and autoencoders.

Recently, the outbreak of Coronavirus Disease 2019 (COVID-19) has spread rapidly across the world. Due to the large number of affected patients and heavy labor for doctors, computer-aided diagnosis with machine learning algorithm is urgently needed, and could largely reduce the efforts of clinicians and accelerate the diagnosis process. Chest computed tomography (CT) has been recognized as an informative tool for diagnosis of the disease. In this study, we propose to conduct the diagnosis of COVID-19 with a series of features extracted from CT images. To fully explore multiple features describing CT images from different views, a unified latent representation is learned which can completely encode information from different aspects of features and is endowed with promising class structure for separability. Specifically, the completeness is guaranteed with a group of backward neural networks (each for one type of features), while by using class labels the representation is enforced to be compact within COVID-19/community-acquired pneumonia (CAP) and also a large margin is guaranteed between different types of pneumonia. In this way, our model can well avoid overfitting compared to the case of directly projecting highdimensional features into classes. Extensive experimental results show that the proposed method outperforms all comparison methods, and rather stable performances are observed when varying the numbers of training data.

Was her depression physiological from the hit to her head or because her professional soccer career was over?

An apparatus for recognizing a representative user behavior includes a unit-data extracting unit configured to extract at least one unit data from sensor data, a feature-information extracting unit configured to extract feature information from each of the at least one unit data, a unit-behavior recognizing unit configured to recognize a respective unit behavior for each of the at least one unit data based on the feature information, and a representative-behavior recognizing unit configured to recognize at least one representative behavior based on the respective unit behavior recognized for each of the at least one unit data.

According to an embodiment, based on task border information, and first-type dependency relationship information containing N number of nodes corresponding to data accesses to one set of data, containing edges representing dependency relationship between the nodes, and having at least one node with an access reliability flag indicating reliability/unreliability of corresponding data access; task border edges, of edges extending over task borders, are identified that have an unreliable access node linked to at least one end, and presentation information containing unreliable access nodes is generated. According to dependency existence information input corresponding to the set of data, conversion information indicating absence of data access to the unreliable access nodes is output. According to the conversion information, the first-type dependency relationship information is converted into second-type dependency relationship information containing M number of nodes (0≦M≦N) corresponding to data accesses to the set of data and containing edges representing inter-node dependency relationship.

A manufacturing method of a glass substrate for a magnetic disk is provided whereby nano pits and/or nano scratches cannot be easily produced in polishing a principal face of a glass substrate using a slurry containing zirconium oxide as an abrasive. The manufacturing method of a glass substrate for a magnetic disk includes, for instance, a polishing step of polishing a principal face of a glass substrate using a slurry containing, as an abrasive, zirconium oxide abrasive grains having monoclinic crystalline structures (M) and tetragonal crystalline structures (T).

A method is provided for providing consistent logical code across specific programming languages. The method incorporates preprocessor macros in a source computer program code to generate a program control flow. The preprocessor macros can be used to describe program control flow in the source programming language for execution in the source computer program code. The preprocessor macros can also be used to generate control flow objects representing the control flow, which converts the source computer program code into a general language representation. The general language representation when executed is used to output computer programming code in specific programming languages representing the same logical code as that of the source computer program code.

A system for blueprint-driven environment template creation in a virtual infrastructure comprises a processor and a memory. The processor is configured to receive a blueprint, receive an environment template configuration, and build an environment template using the blueprint and the environment template configuration. The environment template is for provisioning an environment. The environment is for deploying an application. The memory is coupled to the processor and is configured to provide the processor with instructions.

Methods and systems to identify and reproduce concurrency bugs in multi-threaded programs are disclosed. An example method disclosed herein includes defining a data type. The data type includes a first predicate associated with a first thread of a multi-threaded program that is associated with a first condition, a second predicate that is associated with a second thread of the multi-threaded program, the second predicate being associated with a second condition, and an expression that defines a relationship between the first predicate and the second predicate. The relationship, when satisfied, causes the concurrency bug to be detected. A concurrency bug detector conforming to the data type is used to detect the concurrency bug in the multi-threaded program.

Methods, systems, and apparatus, including computer programs encoded on computer storage media, for computing numeric representations of words. One of the methods includes obtaining a set of training data, wherein the set of training data comprises sequences of words; training a classifier and an embedding function on the set of training data, wherein training the embedding function comprises obtained trained values of the embedding function parameters; processing each word in the vocabulary using the embedding function in accordance with the trained values of the embedding function parameters to generate a respective numerical representation of each word in the vocabulary in the high-dimensional space; and associating each word in the vocabulary with the respective numeric representation of the word in the high-dimensional space.

An apparatus for decoding data segments representing a time-domain data stream, a data segment being encoded in the time domain or in the frequency domain, a data segment being encoded in the frequency domain having successive blocks of data representing successive and overlapping blocks of time-domain data samples. The apparatus includes a time-domain decoder for decoding a data segment being encoded in the time domain and a processor for processing the data segment being encoded in the frequency domain and output data of the time-domain decoder to obtain overlapping time-domain data blocks. The apparatus further includes an overlap/add-combiner for combining the overlapping time-domain data blocks to obtain a decoded data segment of the time-domain data stream.

A time warp contour calculator for use in an audio signal decoder receives an encoded warp ratio information, derives a sequence of warp ratio values from the encoded warp ratio information, and obtains warp contour node values starting from a time warp contour start value. Ratios between the time warp contour node values and the time warp contour starting value are determined by the warp ratio values. The time warp contour calculator computes a time warp contour node value of a given time warp contour node, on the basis of a product-formation having a ratio between the time warp contour node values of the intermediate time warp contour node and the time warp contour starting value and a ratio between the time warp contour node values of the given time warp contour node and of the intermediate time warp contour node as factors.

Various embodiments present a combined visual entity that represents overlapping visual entities. The combined visual entity can include a primary visualization that represents one of the overlapping visual entities and annotations that represent others of the overlapping visual entities. For example, a map view can include multiple geographical entities that overlap. A primary visualization can be rendered that represents one of the multiple geographical entities. The primary visualization can be visually annotated (e.g., with symbols, letters, or other visual indicators) to indicate others of the multiple geographical entities. In some embodiments, a zoom operation can cause visual entities to be added and/or removed from the combined visual entity.

Systems and methods for dynamic development and deployment of computing applications including a development framework, a visual design subsystem, and a deployment subsystem, where at runtime the deployment subsystem is operable to dynamically deploy a computing application realized by a blueprint by sending a request at runtime for graphs and components instantiated by the blueprint.

A method for electronically processing and storing musical information involves separating the musical information into a plurality of segments, each representing some portion of a measure, and assigning a sequential time dimension value to each segment. The musical information is also separated into plurality of channels, with each channel representing a sound source and having a sound dimension value assigned to it. The musical information for a given channel and segment is stored in a memory array by associating the musical information corresponding to a given channel and segment with the memory array node specified by the time dimension value and sound dimension value assigned to the given channel and segment.

A thermally assisted magnetic recording medium (1) includes a substrate (101), an underlayer (3) that is formed above the substrate (101), and a magnetic layer (107) that is formed on the underlayer (3) and contains an alloy having an L10 structure as a main component. The underlayer (3) is formed by continuously laminating a first underlayer (104) having a BCC structure with a lattice constant that is 0.302 to 0.332 nm, a second underlayer (105) that has a NaCl structure including C, and a third underlayer (106) that is composed of MgO.

Disclosed is an optical information recording and reproducing device capable of recording an interference fringe pattern as a hologram in an optical information recording medium, the interference fringe pattern being formed by a signal beam superimposed with signal information and a reference beam, and also capable of reproducing the signal information from the optical information recording medium, the device having a light source unit to emit light, a light splitting unit to split the light into the reference beam and the signal beam, a spatial light modulation unit to superimpose the signal information on the signal light, and a light detection unit to detect an image reproduced by the reference beam, wherein information about defects on the spatial light modulation unit is recorded in the optical information recording medium.

According to one embodiment, a multilayer optical recording medium including a substrate, a guide layer group that is provided on the substrate and has guide layers in which positional information in a radial direction is recorded, and a recording layer group that is provided on the substrate and has recording layers in which information can be recorded. In the recording layer group, positional information of the recording layers associated with the positional information recorded in the guide layers and control information of the optical device where reflected light volumes of the laser beams on the guide layers and the recording layers become maximum at the positions in the radial direction are recorded at the positions in the radial direction of the recording layers.

An apparatus for compensating for pixel distortion while reproducing hologram data includes an extraction unit, a determination and calculation unit, a table, and a compensation unit. The extraction unit extracts a reproduced data image from a reproduced image frame including the reproduced data image and borders. The determination and calculation unit determines position values of edges of the extracted reproduced data image, and calculates average magnification error values of pixels within line data from position values of start and end point pixels thereof, which are based on the determined position values of the edges. The table stores misalignment compensation values for the pixels within the line data, wherein the misalignment compensation values correspond to predetermined references for average magnification error values. The compensation unit compensates for pixel positions in the extracted reproduced data image using the misalignment compensation values that correspond to the calculated average magnification error values.

A mark having a length nT (n being an integer equal to or greater than 3 and T being a clock period) is formed by modulating irradiation laser power with three values of recording power Pw, erase power Pe, and bias power Pb (Pw>Pe>Pb). Constant strength periods (At) of the recording power Pw are set as AtT, A1T, . . . , and AmT and constant strength periods (B) of the bias power Pb are set as BtT, B1T, . . . , BmT, and CT (C=−1 to 3). The application of laser is divided into pulses in order of AtT, BtT, A1T, B1T, . . . , AmT, BmT, and CT (m=(n−k)/2, k=3 (if n is an odd number), or k=4 (if n is an even number)). (Here, the constant strength period of the recording power Pw for n=3, n=4, n≧5 (odd number), and n≧6 (even number) is set as At3, At4, Atod, and Atev, the constant strength period of the bias power Pb for n=3, n=4, n≧5 (odd number), and n≧6 (even number) is set as Bt3, Bt4, Btod, and Btev, and then, At3+Bt3=Atod+Btod=Am+Bm=2T and At4+Bt4=Atev+Btev=3T).

A machine readable information storage medium, a reproducing method and apparatus which reproduces data from the storage medium, and a recording method and apparatus for recording data on the storage medium. The information storage medium includes a control area which stores within a data structure information usable by the recording or reproducing apparatus to record or reproduce the data on or from the storage medium. The information stored within the data structure includes a version corresponding to a specification.

A spent fuel reprocessing method including the steps of partitioning U and Pu(III) in a solvent by solvent extraction and subsequently polishing the solvent in a neptunium rejection operation for removing Np therefrom. The solvent obtained from the neptunium rejection operation (the polished solvent or NpA solvent product) is then recycled to a U/Pu partitioning operation. The method enables a reduction in solvent feed and solvent effluent volumes.

This invention is provided for improvement of corrosion-resistant property of a crucible and for promotion of safety in a pyrochemical reprocessing method for the spent nuclear fuel. The spent nuclear fuel is dissolved in a molten salt placed in the crucible. In a pyrochemical reprocessing method, the nuclear fuel is deposited, and the crucible (2) is heated by induction heating. Cooling media (5, 6) are supplied to cool down, and a molten salt layer (7) is maintained by keeping balance between the heating and the cooling, and a solidified salt layer (8) is formed on inner wall surface of the crucible.

A method for virtual channel management is provided. The method includes the following steps. In response to a command, a control unit of a network-based multimedia reproduction system determines whether the command is associated with virtual channel switching. When the command is associated with virtual channel switching, the control unit checks whether a channel value corresponding to the command exists in an application virtual channel table. When the channel value exists in the application virtual channel table, the control unit determines an application corresponding to the channel number from the application virtual channel table, and executes the application. According to a first operation parameter set corresponding to the application, the control unit sets the executed application to retrieve digital contents through a network unit of the network-based multimedia reproduction system.

A perpendicular magnetic recording medium of the present invention comprises a non-magnetic substrate, and at least a backing layer, an under layer, an intermediate layer and a perpendicular magnetic recording layer, which are sequentially laminated on the non-magnetic substrate, wherein the backing layer is formed of a soft magnetic film having an amorphous structure, the under layer contains a NiW alloy containing any one or both of Co and Fe, the W content of the NiW alloy is within a range from 3 to 10 atom %, the total of the Co and Fe contents of the NiW alloy is 5 atom % or more and less than 40 atom %, the saturation magnetic flux density Bs of the NiW alloy is 280 emu/cm3 or more, the thickness of the under layer is within a range from 2 to 20 nm, and the intermediate layer contains Ru or a Ru alloy.

The disk-shaped information recording medium having an outer diameter and an inner diameter comprises a substrate having a predetermined thickness, a first side that is one side of the substrate, a second side that is the other side of the substrate, a cylindrical portion forming a through hole formed at a center of the substrate, and a thin portion formed so as to surround an outer diameter of the cylindrical portion. The thin portion is thinner than the predetermined thickness and includes a non-inclined surface and an inclined surface formed on an outer diameter side of the non-inclined surface. The inclined surface is inclined at a predetermined angle to the non-inclined surface and is larger than the non-inclined surface in the thin portion.

The disk-shaped information recording medium having an outer diameter and an inner diameter comprises a substrate having a predetermined thickness, a first side that is one side of the substrate, a second side that is the other side of the substrate, a cylindrical portion forming a through hole formed at a center of the substrate, and a thin portion formed so as to surround an outer diameter of the cylindrical portion. The thin portion is thinner than the predetermined thickness and includes a non-inclined surface and an inclined surface formed on an outer diameter side of the non-inclined surface. The inclined surface is inclined at an angle greater than or equal to 25 degrees and less than or equal to 35 degrees with respect to the non-inclined surface.

A portable carrier for containing, using, displaying, protecting and modifying blueprints in an outdoor working environment. The Blueprint Caddy (“Caddy”) includes a removable and durable plastic or polyethylene cover, affixed by means of two detachable pin hinges, which allows for both the protection of any prospective blueprints and easy alterations or amendments to same by means of a wax pencil. The back of the Caddy is constructed with a storage area allowing for the safe and convenient storage of the cover when its use is not desired. The Caddy is equipped with two plastic lock down elongated clamps which fit into channeled grooves of the Caddy to support and restrain blueprints of either twenty-four or thirty-six inches in length with a wrap around storage slot to slide unwanted pages of any blueprints utilized. The top of the Caddy is constructed with two small contained storage areas for carrying wax pencils or other writing materials, erasers, cloths, etc. The Caddy is also equipped with a handle at the top and four one inch removable legs on the back to allow it to be laid flat or posted on a wall for use in the field. The handle likewise allows the Caddy to be carried in convenient fashion to respective job sites.

A content data reproducing method includes: decrypting encrypted data to generate plain-text data; dividing the plain-text data into decrypted content data and reproduction management information; sending the reproduction management information to a user space; storing the decrypted content data in a secret buffer; obtaining the decrypted content data as reproduction target data from the secret buffer and transmitting the reproduction target data to a decoder; and decoding the reproduction target data by the decoder.

A method of displaying a message received from a server during reproducing content includes: receiving the message provided to a user terminal, from the server, during the reproducing the content stored in a storage medium; determining an operation mode of the user terminal related to a priority order of the message; and providing the message according to the determined operation mode of the user terminal.

The present invention provides a content data recording/reproducing device, comprising a communication unit that engages in communication with an external device, a storage unit that stores content data and additional data related to the content data, a content data extraction unit that selectively extracts the content data from the storage unit based upon condition data received at the communication unit from the external device and the additional data stored in the storage unit and a contents list generation unit that generates a contents list based upon the condition data and additional data corresponding to the content data extracted by the content data extraction unit.

An information processing apparatus includes a controller that sets type information, which represents that an application for executing a process using a dependent view video stream is an application for reproducing a 3-D image, in a clip information file which describes information on a transport stream including the dependent view video stream out of a base view video stream and the dependent view video stream obtained by encoding a plurality of video data according to the a predetermined video coding format.

A reproduction apparatus comprises a reproduction unit configured to reproduce image data from a recording medium; a detection unit configured to detect users; and a generation unit configured to generate, for each of a plurality of users, management information for distinguishing a portion that has been reproduced and a portion that has not been reproduced in the image data recorded in the recording medium.

1-Fluoro-2-substituted-3-chlorobenzenes are selectively deprotonated and functionalized in the position adjacent to the fluoro substituent.

The present disclosure is related to illustrative embodiments of an apparatus and method for maintaining carbonation of sparkling beverages, such as sparkling wines, cocktails, and non-alcoholic beverages such as sodas and coffee. A transparent, shatter-resistant, height-adjustable carbonation enclosure is used to contain an opened bottle of a sparkling beverage. An air-tight carbonation cap with a built-in one-way valve is used to re-carbonate the beverage inside the bottle using a pressurized gas source. The base of the carbonation enclosure includes a platform that may be used to adjust the effective height of the enclosure to fit the height of the bottle and provide an air-tight interface between an opening of the bottle and the carbonation cap. The carbonation enclosure further includes a number of openings to open air to prevent pressurization of the carbonation enclosure. Another illustrative embodiment includes a safety enclosure for multiple bottles pressurized directly by conical nozzles.

A transaction is preprocessed wirelessly in response to a wireless transaction preprocessing user device being in a queue for a point-of-transaction. The transaction that was preprocessed is then completed in response to the wireless transaction preprocessing user device reaching the point-of-transaction. Financial transactions and/or purchase of goods and/or services may thereby be preprocessed wirelessly and then completed at a point-of-transaction. Related devices and computer program products are also disclosed.

A tridimensional modeling apparatus, system and kit is for representing an exploration network. The apparatus, system and kit include a transparent hollow cube with six plane surfaces for representing an enclosed volume, a plurality of perforations on at least two of the six plane surfaces and indicia around each opening for marking polar coordinates and orientation. The apparatus, system and kit further include a plurality of transparent rods for representing exploration channels. The plurality of perforations on the cube are arranged for receiving rods for tridimensional modeling of the exploration network and each rod is inserted into an opening with an angle and a depth, thereby resulting in a visual representation of the exploration network within the represented volume.

In general, this disclosure describes techniques for changing a sampling frequency of a digital signal. In particular, the techniques provide a more accurate way to determining a relative timing between a desired output sample and a corresponding input sample using a non-approximated integer representation of the relative timing. The relative timing between the desired output sample and corresponding input sample may be represented using a first component that identifies a latest input sample of the digital signal used to generate intermediate samples, a second component that identifies an intermediate sample, and a third component that identifies a timing difference between the desired output sample and the intermediate sample. Each of the components may be recursively updated using non-approximated integer values.

A fireproof unit for a sliding closure at the spout of a container containing metal melt, including a fireproof adapter block that can be placed on the container spout, a fireproof bottom plate connected thereto, to which bottom plate a slidable fireproof sliding plate can be connected, wherein the sliding plate allows the sliding closure to be opened or closed. In addition to the first bottom plate connected to the adapter block, a second bottom plate adjoins the adapter block. The second bottom plate can be slid in under the adapter block to replace the first bottom plate. The adapter block has a length in the direction of the second bottom plate such that the adapter block is in sliding contact with the second bottom plate at the lower sliding surface of the adapter block.

The present disclosure generally relates to a method and device for encoding a frame. The method and the device comprises a processor configured for: —encoding (12) a backlight frame determined (11) from the frame; —obtaining (13) at least one component of a residual frame by dividing each component of the frame by a decoded version of the backlight frame; —mapping each component (YRes) of the residual frame (Res) such that the mapping of each pixel (YRes,P) of a component (YRes) of the residual frame Res depends on the pixel value (Balp) of either the backlight frame (Bal) or a decoded version of the backlight frame (Bal), associated with this pixel (p); and—encoding (18) the mapped residual frame. The disclosure further relates to a decoding method and device.

A method of producing a finely fibrous cellulose composite prepreg sheet, sheet or laminate sheet, the method including a mixing an emulsion of a reactive compound with an aqueous suspension containing a finely fibrous cellulose to prepare a mixed liquid dewatering the mixed liquid by filtration on a porous substrate to form a water-containing sheet; and heating and drying the water-containing sheet. A method of producing a finely fibrous cellulose composite sheet, the method including subjecting the finely fibrous cellulose composite prepreg sheet produced by the method described above to a curing treatment.

Various embodiments present a combined visual entity that represents overlapping visual entities. The combined visual entity can include a primary visualization that represents one of the overlapping visual entities and annotations that represent others of the overlapping visual entities. For example, a map view can include multiple geographical entities that overlap. A primary visualization can be rendered that represents one of the multiple geographical entities. The primary visualization can be visually annotated (e.g., with symbols, letters, or other visual indicators) to indicate others of the multiple geographical entities. In some embodiments, a zoom operation can cause visual entities to be added and/or removed from the combined visual entity.