Pseudo channel:time embedding for motor imagery decoding

Motor imagery(MI)based electroencephalogram(EEG)represents a frontier in enabling direct neural control of external devices and advancing neural rehabilitation.This study introduces a novel time embedding technique,termed traveling-wave based time embedding,utilized as a pseudo channel to enhance the decoding accuracy of MI-EEG signals across various neural network architectures.Unlike traditional neural network methods that fail to account for the temporal dynamics in MI-EEG in individual difference,our approach captures time-related changes for different participants based on a priori knowledge.Through extensive experimentation with multiple participants,we demonstrate that this method not only improves classification accuracy but also exhibits greater adaptability to individual differences compared to position encoding used in Transformer architecture.Significantly,our results reveal that traveling-wave based time embedding crucially enhances decoding accuracy,particularly for participants typically considered“EEG-illiteracy”.As a novel direction in EEG research,the traveling-wave based time embedding not only offers fresh insights for neural network decoding strategies but also expands new avenues for research into attention mechanisms in neuroscience and a deeper understanding of EEG signals.

从用“图”带题走向构“图”得形——里程表问题的教学实践与思考

用几何直观或者说用直观图来进行教学是一线教师常用的教学策略,就三年级上册“加与减”单元中的“里程问题”这块内容教学而言,可以从用“图”带题、看题想“图”、构“图”得形三个角度入手,从而为教学中如何运用好几何直观这一教学策略提供参考。

About the Conjecture of Felicitous Trees

A tree T is felicitous if there is a labelling l of its vertices with distinct integers from the set {0,1,2,…,｜E(T)｜}, so that the induced edge labelling l′ defined by l′(e)=l(u)+l(v) mod ｜E(T)｜ for each e=uv∈E(T), assigns each edge e a different label. In this paper, we constructively proved that more classes of trees are felicitous. In the end, we gave a conjecture that every lobster tree is felicitous.

Fabric Wetting and Wicking Measurement Based on Dynamic Image Acquisition and Processing

After a brief review of existing methods for fabric wetting and wicking measurement,a new numerical approach based on dynamic image acquisition and analysis was proposed to study the liquid wetting and wicking properties of woven fabrics.A measuring system was first developed to record on-site the images of liquid ascending in fabrics for a certain period of time.The hardware and software platforms and the experimental methods were described,and the image processing and analysis as well as other related algorithms were discussed in detail.The liquid front curves and rising rates in wetting and wicking were eventually obtained towards different fabrics.From liquid wicking curves,relationship between liquid ascending height and liquid ascending time agrees well with the Washburn theory.The data comparison between the numerical measurement and the traditional test proves the reliability of the numerical results.

A Fast Algorithm for Automated Image Mosaicing

This paper presents a fast image mosaic algorithm based on the characteristic of the edge grads. Unlike some previous algorithms, which require pure horizontal camera panning, this algorithm doesn＇t require constraints on how the image is taken. The algorithm can determine the matching regions of the two adjacent images by finding out the feature points and can piece up images bath horizontally and vertically. Experimental results show that this algorithm is effective.

Style and Guile in the 18th Century

Jean Moreau le Jeune＇s Monument du costume physique et moral （Monument of physical and moral costume） presents costumes, usages, and d6cors in vogue in French high society at the end of the 18th century. In its 26 folio-sized plates, elegant appearances denote social standing. Captions added to these engravings turn them into an idealized history of manners. The 1789 Neuwied edition of the Monument sponsored by the banker and amateur artist Jean-Henri Eberts enriches each titled image with an accompanying text, written by Restif de la Bretonne. Restif＇s stories disrupt the unity between fashion and morality suggested by the captioned images. Interplay between image, caption, and text realigns style with deception, and makes the 1789 Monument du costume a testament to the fragility of the ancien r6gime, a world poised between order and disorder.

Ideal-based Zero-divisor Graphs of Non-commutative Rings

This paper introduces an ideal-boyed zero-divisor graph of non-commutative rings,denoted ΓI（R）.ΓI（R） is a directed graph.The properties and possible structures of the graph is studied.

Resistance and Representation in Amharic Folk Poetry （1889-1974）

Amharic folk literature is a time-honoured tradition dating back to the imperial songs of the 14th and 15th centuries. One of these subgenres is Amharic folk poetry which is permeated with the political, social, economic, and cultural legacies of successive Ethiopian governments that rise and demise. The image of these governments was determined by their integrity, vision, and responsiveness to the aspirations of the populace. This study was designed to determine the popular image of the imperial governments of Menelik II and Haile Selasse I as reflected in Amharic folk poetry. Without prejudice to some odes which invariably idealise the vision of these monarchs, the politically-inspired Amharic folk poetry is found to be critical of the feudal status quo thus perpetuating its negative images. This underpins the partial unpopularity of Menilik and Haile Selasse. However, these critical gestures would by no means undermine their monumental contributions to the reunification, modernization, and survival of Ethiopia. Thus, the contemporary Amharic folk-poetry is neither iconoclastic nor idealistic but an impassioned allegory of the nation-state.

Leibniz＇s Conception of Space： The Space of Life and the Holographic Universe

The paper provides an interpretation of Leibniz＇s account of space that extends beyond the predominant interpretations in terms of the relativity of space, and the latter is mainly understood through the differential perspective of each monad＇s extrinsic denominators. This is attained by a thorough explication of the principle of indiscernibles, the abolition of the principle of locality, the advanced conception ofentelecheia in late Leibniz, and the character of the perception of each monad, which allow to discover in Leibniz＇s idea of space the notion of the hologram, and the holographic interconnectedness of things in the Universe.

On the ＂good understanding＂ of the Scientific Spirit： The Use of Metaphors and Images in the Physical Sciences

In Bachelard＇s thought, the understanding ＂of the other＂ in scientific thought is given usually by means of empirical or rational discourse. However, it is not unusual to realize the emphasis of scientific thought as rationally justifiable. Certainly, the dynamics of scientific thought throughout history has not been indifferent to other possibilities of epistemological construction. We cannot escape the facts： Science needs linguistic devices to strengthen its principles and criteria for validation. The aim of this paper is to answer, based on a new conception of metaphor, under what conditions metaphor can be a ＂physical metaphor＂ and the extent to which the symbolism in general brings a special light gain of sense to the understanding of physical reality that surrounds us.

Continuous Distillation of Non-ideal Mixtures Through Graphical Methods

The current paper deals with the way in which the liquid-vapor equilibrium can be predicted, using the program Microsoft-Excel to obtain the bubble temperatures of twenty different non-ideal mixtures, the location of the azeotrope and the relation of the minimal reflux. The Wilson model was used for the activity coefficient and the cubic equation of state was used for the fugacity coefficient, utilizing the Pitzer correlation for the second virial coefficient.

A Wave Propagation Model Based on Monte-Carlo Particle-Tracing

This article describes a new wave propagation model based on Monte-Carlo particle-tracing. This model relies on Monte-Carlo integration and Huygens currents radiating. The particles used to compute the field permit to consider the interferences. This model includes the diffraction of the surface without edge computation. The implementation of this propagation model is based on a image synthesis renderer. The results of this model are studied in far field situation with perfectly conducting shapes, by comparing results with a classical MoM method.

Exploration on the academic thoughts of health maintenance in Jiujing Tu(《灸经图》,Illustration of Moxibustion),one of book relics found in Dunhuang

In this paper, the authors deeply studied 12 moxibustion pictures in Jiujing Tu 《灸经图》, Illustration of Moxibustion）, one of Dunhuang book relics, and described the academic thoughts of health maintenance contained in the book. It was considered that the health maintenance thoughts of humanistic thought, common maintenance of body and spirit, balanced interaction, and maintenance of essence, qi and spirit contained in the book were very sophisticated to greatly constitute the academic thoughts of modern health maintenance.

Chromatic Choosability of a Class of Complete Multipartite Graphs

A graph G is called to be chromatic choosable if its choice number is equal to its chromatic number. In 2002, Ohba conjectured that every graph G with 2Х（G） ＋ 1 or fewer vertices is chromatic choosable. It is easy to see that Ohba＇s conjecture is true if and only if it is true for complete multipartite graphs. But at present only for some special cases of complete multipartite graphs, Ohba＇s conjecture have been verified. In this paper we show that graphs K6,3,2＊（k-6）,1＊4 （k ≥ 6） is chromatic choosable and hence Ohba＇s conjecture is true for the graphs K6,3,2＊（k-6）,1＊4 and all complete k-partite subgraphs of them.

An efficient algorithm for factoring polynomials over algebraic extension field

An efficient algorithm is proposed for factoring polynomials over an algebraic extension field defined by a polynomial ring modulo a maximal ideal. If the maximal ideal is given by its CrSbner basis, no extra Grbbner basis computation is needed for factoring a polynomial over this extension field. Nothing more than linear algebraic technique is used to get a characteristic polynomial of a generic linear map. Then this polynomial is factorized over the ground field. From its factors, the factorization of the polynomial over the extension field is obtained. The algorithm has been implemented in Magma and computer experiments indicate that it is very efficient, particularly for complicated examples.

Classification of EEG-based single-trial motor imagery tasks using a B-CSP method for BCI

Classifying single-trial electroencephalogram(EEG)based motor imagery(MI)tasks is extensively used to control brain-computer interface(BCI)applications,as a communication bridge between humans and computers.However,the low signal-to-noise ratio and individual differences of EEG can affect the classification results negatively.In this paper,we propose an improved common spatial pattern(B-CSP)method to extract features for alleviating these adverse effects.First,for different subjects,the method of Bhattacharyya distance is used to select the optimal frequency band of each electrode including strong event-related desynchronization(ERD)and event-related synchronization(ERS)patterns;then the signals of the optimal frequency band are decomposed into spatial patterns,and the features that can describe the maximum differences of two classes of MI are extracted from the EEG data.The proposed method is applied to the public data set and experimental data set to extract features which are input into a back propagation neural network(BPNN)classifier to classify single-trial MI EEG.Another two conventional feature extraction methods,original common spatial pattern(CSP)and autoregressive(AR),are used for comparison.An improved classification performance for both data sets(public data set:91.25%±1.77%for left hand vs.foot and84.50%±5.42%for left hand vs.right hand;experimental data set:90.43%±4.26%for left hand vs.foot)verifies the advantages of the B-CSP method over conventional methods.The results demonstrate that our proposed B-CSP method can classify EEG-based MI tasks effectively,and this study provides practical and theoretical approaches to BCI applications.

THE LINEAR ARBORICITY OF COMPOSITION GRAPHS

The linear arboricity la(G) of a graph G is the minimum number of linear forests which partition the edges of G. Akiyama, Exoo and Harary conjectured that la(G) = [△(G)+1/2] for any regular graph G. In this paper, we prove the conjecture for some composition graphs, in particular, for complete multipartite graphs.