Artículos científicos

EL OBJETIVO DEL PRESENTE ESTUDIO FUE REALIZAR UN ANÁLISIS BIBLIOMÉTRICO DE PSYKHE (1992-2016), CONSIDERANDO ALGUNOS ELEMENTOS HISTÓRICOS QUE CONTEXTUALIZAN SU TRAYECTORIA, PARA DESCRIBIR SUS PRINCIPALES CARACTERÍSTICAS Y EVALUAR SU EVOLUCIÓN CRONOLÓGICA. PARA ELLO SE CONSTRUYÓ UNA BASE DE DATOS CON LA TOTALIDAD DE PUBLICACIONES DE LA REVISTA (25 VOLÚMENES Y 48 NÚMEROS), CON UNA MUESTRA TOTAL DE 531 ARTÍCULOS CIENTÍFICOS. SE APLICARON INDICADORES BIBLIOMÉTRICOS, TALES COMO LOS ÍNDICES DE PRODUCTIVIDAD (LOTKA), DE COLABORACIÓN (SUBRAMANYAM Y LAWANI), DE TEMÁTICAS Y METODOLOGÍAS UTILIZADAS, ASÍ COMO INDICADORES DE IMPACTO QUE PERMITEN REALIZAR COMPARACIONES CON OTRAS REVISTAS DE REFERENCIA EN LA REGIÓN. LOS RESULTADOS EVIDENCIAN QUE LA PRIMERA AUTORÍA DE LOS ARTÍCULOS CORRESPONDIÓ A UNA MAYOR PROPORCIÓN DE MUJERES. SE VISLUMBRA UNA CLARA TENDENCIA AL ALZA DEL NÚMERO DE ARTÍCULOS A MEDIADOS DE LOS AÑOS 2000, EL ÁREA TEMÁTICA CON MAYOR NÚMERO DE ARTÍCULOS ES PSICOLOGÍA EDUCACIONAL Y LOS ÍNDICES DE COLABORACIÓN HAN MEJORADO SUSTANCIALMENTE HACIA LA ACTUALIDAD. EL ANÁLISIS PERMITE VISUALIZAR ALGUNAS DE LAS FORTALEZAS Y DESAFÍOS DE PSYKHE. SERÍA INTERESANTE EN FUTUROS ESTUDIOS REALIZAR COMPARACIONES CON OTRAS REVISTAS DE SIMILARES CARACTERÍSTICAS

THE OBJECTIVE OF THIS STUDY WAS TO FIND AN EFFICIENT METHOD THAT ALLOWS TIME AND YIELD INCREASE VOLUME USE AND UTILITY OF THE SAWMILLS THAT PROCESS LOGS PRUNED PINUS RADIATA, LINKING EXTERNAL INFORMATION PROVIDED BY A SCANNER INDUSTRY AND SIMULATION OF CYLINDRICAL DEFECTIVE CORE (CDC) IN THE CONSTITUTION OF A THREE-DIMENSIONAL LOG, WHERE THE OPTIMAL CUTTING PATTERN WAS ESTABLISHED BY MEANS OF A DYNAMIC PROGRAMMING ALGORITHM. SAWING WAS SIMULATED ON A SAMPLE OF 30 LOGS OBTAINED RANDOMLY INDUSTRIAL PROCESS OF SCANNING. THE RESULTS WERE COMPARED WITH THOSE OBTAINED BY A HEURISTIC DEVELOPED BY A COMPANY. DYNAMIC PROGRAMMING ALGORITHM ACHIEVED A YIELD OF THE RAW MATERIAL OF 64% AND AN AVERAGE RELATIVE NET UTILITY OF 11 US$/LOG WAS OBTAINED.

IN THIS WORK WE EXAMINE TRAPEZOIDAL CENTRAL CONFIGURATIONS IN THE PLANAR FOUR-VORTEX PROBLEM. MORE SPECIFICALLY, WE CONSIDER THE CONVEX CENTRAL CONFIGURATIONS IN WHICH THE CONVEX QUADRILATERAL HAS TWO PARALLEL SIDES. WITH ANALYTICAL ARGUMENTS WE CLASSIFY ALL POSSIBLE ARRANGEMENTS. ADDITIONALLY, WE PROVE THE UNIQUENESS OF THE TRAPEZOIDAL CENTRAL CONFIGURATION FOR GIVING FOUR VORTICITIES WITH THE SAME SIGN.

TO EVALUATE THE IMMUNE RESPONSE TO THE SARS-COV-2 VACCINES IN ADULTS WITH IMMUNE-MEDIATED RHEUMATIC DISEASES (IMRDS) IN COMPARISON TO HEALTHY INDIVIDUALS, OBSERVED 1-20 WEEKS FOLLOWING THE FOURTH VACCINE DOSE. ADDITIONALLY, TO EVALUATE THE IMPACT OF IMMUNOSUPPRESSIVE THERAPIES, VACCINATION SCHEDULES, THE TIME INTERVAL BETWEEN VACCINATION AND SAMPLE COLLECTION ON THE VACCINE?S IMMUNE RESPONSE. PERFORMING A COMPARISON BETWEEN THE VARIANTS, WUHAN VS OMICRON, WE NOTICED THAT THERE WERE SIGNIFICANT DIFFERENCES (P

INTRODUCTION: 5-A-SIDE SOCCER IS A SPORTS MODALITY EXCLUSIVELY FOR ATHLETES WITH VISION IMPAIRMENT (VI) CLASSIFIED AS BLIND - B1 (BLIND 1) BY THE VISUAL CLASSIFICATION PROCESS. TYPE OF IMPAIRMENT AND HIGH-PERFORMANCE TRAINING ARE FACTORS THAT CONTRIBUTE TO THE DEVELOPMENT OF SPORTS INJURIES. OBJECTIVE: THE PURPOSE OF THIS STUDY WAS TO CHARACTERIZE THE PREVALENCE OF SPORTS-RELATED INJURIES IN VISUALLY DISABLED ATHLETES OF THE BRAZILIAN 5-A-SIDE SOCCER TEAM. METHODS: THE METHOD WAS DEFINED AS A DESCRIPTIVE, LONGITUDINAL, EPIDEMIOLOGICAL STUDY. THE SAMPLE WAS COMPOSED OF TEN MALE ATHLETES, MEMBERS OF THE BRAZILIAN 5-A-SIDE SOCCER TEAM, INCLUDING TWO ATHLETES WITHOUT VI AND EIGHT ATHLETES WITH THE B1 VISUAL CLASSIFICATION, WHO PARTICIPATED IN COMPETITIONS IN 2014. THE QUESTIONNAIRE FOR THE DATA COLLECTION WAS BASED ON THE SPORT INJURIES PROTOCOL FOR PARALYMPIC SPORTS (PLEEP), EXPRESSING QUANTITATIVE DATA ANALYZED BY DESCRIPTIVE STATISTICS. RESULTS: THE RESULTS SHOWED THAT, IN 2014, FIVE ATHLETES WITH VI HAD SEVEN SPORTS INJURIES, WITH A PREVALENCE OF 62.5%, CLINICAL INCIDENCE OF 0.87 INJURIES PER ATHLETE PER YEAR, AND 1.4 INJURIES PER INJURED ATHLETE. THE MAIN SPORTS INJURIES WERE MUSCLE STRAIN (28.6%), GROIN PULL (ATHLETIC PUBALGIA) (28.6%), AND SHIN SPLINTS (PERIOSTITIS) (28.6%). ALL SPORTS INJURIES OCCURRED IN THE LOWER LIMBS, AFFECTING LEGS (71.4%) AND HIPS (28.6%). OVERLOAD WAS THE MOST FREQUENT MECHANISM (57%), REPORTED AFTER THE TECHNICAL KICK MOVEMENT AND LINKED TO THE MUSCLE IMBALANCE BETWEEN DOMINANT AND SUPPORTING LOWER LIMBS, IN ADDITION TO THE POSTURAL MISALIGNMENT TYPICAL OF PEOPLE WITH VISUAL IMPAIRMENTS. CONCLUSIONS: IN SUMMARY, THE BRAZILIAN 5-A-SIDE SOCCER ATHLETES PRESENTED A PATTERN OF OVERLOAD INJURIES RESULTING FROM THE REPETITION OF THE TECHNICAL KICK MOVEMENT, OCCURRING PREDOMINANTLY IN SPORTS COMPETITIONS. EPIDEMIOLOGICAL DATA CAN CONTRIBUTE TO THE DEVELOPMENT OF STRATEGIES TO PREVENT INJURIES IN THIS SPORT. LEVEL OF EVIDENCE II, PROGRESSIVE

IN THIS PAPER WE PROPOSE AND ANALYZE, UTILIZING MAINLY TOOLS AND ABSTRACT RESULTS FROM BANACH SPACES RATHER THAN FROM HILBERT ONES, A NEW FULLY-MIXED FINITE ELEMENT METHOD FOR THE STATIONARY BOUSSINESQ PROBLEM WITH TEMPERATURE-DEPENDENT VISCOSITY. MORE PRECISELY, FOLLOWING AN IDEA THAT HAS ALREADY BEEN APPLIED TO THE NAVIER-STOKES EQUATIONS AND TO THE FLUID PART ONLY OF OUR MODEL OF INTEREST, WE FIRST INCORPORATE THE VELOCITY GRADIENT AND THE ASSOCIATED BERNOULLI STRESS TENSOR AS AUXILIARY UNKNOWNS. ADDITIONALLY, AND DIFFERENTLY FROM EARLIER WORKS IN WHICH EITHER THE PRIMAL OR THE CLASSICAL DUAL-MIXED METHOD IS EMPLOYED FOR THE HEAT EQUATION, WE CONSIDER HERE AN ANALOGUE OF THE APPROACH FOR THE FLUID, WHICH CONSISTS OF INTRODUCING AS FURTHER VARIABLES THE GRADIENT OF TEMPERATURE AND A VECTOR VERSION OF THE BERNOULLI TENSOR. THE RESULTING MIXED VARIATIONAL FORMULATION, WHICH INVOLVES THE AFOREMENTIONED FOUR UNKNOWNS TOGETHER WITH THE ORIGINAL VARIABLES GIVEN BY THE VELOCITY AND TEMPERATURE OF THE FLUID, IS THEN REFORMULATED AS A FIXED POINT EQUATION. NEXT, WE UTILIZE THE WELL-KNOWN BANACH AND BROUWER THEOREMS, COMBINED WITH THE APPLICATION OF THE BABU$\CHECK{\MATHRM S}$KA-BREZZI THEORY TO EACH INDEPENDENT EQUATION, TO PROVE, UNDER SUITABLE SMALL DATA ASSUMPTIONS, THE EXISTENCE OF A UNIQUE SOLUTION TO THE CONTINUOUS SCHEME, AND THE EXISTENCE OF SOLUTION TO THE ASSOCIATED GALERKIN SYSTEM FOR A FEASIBLE CHOICE OF THE CORRESPONDING FINITE ELEMENT SUBSPACES.

IN THIS PAPER WE EXTEND RECENT RESULTS OBTAINED FOR THE NAVIER-STOKES EQUATIONS TO PROPOSE AND ANALYZE A NEW FULLY MIXED VIRTUAL ELEMENT METHOD (MIXED-VEM) FOR THE STATIONARY TWO-DIMENSIONAL BOUSSINESQ EQUATIONS APPEARING IN NON-ISOTHERMAL FLOW PHENOMENA. THE MODEL CONSISTS OF A NAVIER-STOKES TYPE SYSTEM, MODELING THE VELOCITY AND THE PRESSURE OF THE FLUID, COUPLED TO AN ADVECTION-DIFFUSION EQUATION FOR THE TEMPERATURE. THE VARIATIONAL FORMULATION IS BASED ON THE INTRODUCTION OF THE ADDITIONAL UNKNOWNS GIVEN BY A MODIFIED PSEUDOSTRESS TENSOR, WHICH DEPENDS ON THE PRESSURE, AND THE DIFFUSIVE AND CONVECTIVE TERMS OF THE FLUID, AND THE PSEUDOHEAT VECTOR, WHICH INVOLVES THE TEMPERATURE, ITS GRADIENT, AND THE VELOCITY. AS A CONSEQUENCE OF THE FORMER, THE PRESSURE IS ELIMINATED FROM THE SYSTEM, BUT COMPUTED AFTERWARDS VIA A POST-PROCESSING FORMULA. IN TURN, FOR THE GALERKIN APPROXIMATION WE FOLLOW THE APPROACH EMPLOYED IN A PREVIOUS WORK INTRODUCING FOR THE FIRST TIME AN L-P SPACES-BASED MIXED-VEM FOR THE NAVIER-STOKES EQUATIONS, AND COUPLE IT WITH A SIMILAR MIXED-VEM FOR THE CONVECTION-DIFFUSION EQUATION MODELING THE TEMPERATURE. THE SOLVABILITY ANALYSIS OF THE RESULTING COUPLED DISCRETE SCHEME IS CARRIED OUT BY USING APPROPRIATE FIXED-POINT ARGUMENTS, ALONG WITH THE DISCRETE VERSIONS OF THE BABUSKA-BREZZI THEORY AND THE BANACH-NECAS-BABUSKA THEOREM, BOTH IN SUBSPACES OF BANACH SPACES. THE FIRST STRANG LEMMA IS APPLIED TO DERIVE THE A PRIORI ERROR ESTIMATES FOR THE VIRTUAL ELEMENT SOLUTION AS WELL AS FOR THE FULLY COMPUTABLE APPROXIMATION OF THE PSEUDOSTRESS TENSOR, THE PSEUDOHEAT VECTOR, AND THE POST-PROCESSED PRESSURE. FINALLY, SEVERAL NUMERICAL RESULTS, ILLUSTRATING THE PERFORMANCE OF THE MIXED-VEM SCHEME AND CONFIRMING THE RATES OF CONVERGENCE PREDICTED BY THE THEORY, ARE REPORTED.

IN THIS PAPER WE INTRODUCE AND ANALYZE A BANACH SPACES-BASED APPROACH YIELDING A FULLY-MIXED FINITE ELEMENT METHOD FOR NUMERICALLY SOLVING THE STATIONARY CHEMOTAXIS-NAVIER-STOKES PROBLEM. THIS IS A NONLINEAR COUPLED MODEL REPRESENTING THE BIOLOGICAL PROCESS GIVEN BY THE CELL MOVEMENT, DRIVEN BY EITHER AN INTERNAL OR AN EXTERNAL CHEMICAL SIGNAL, WITHIN AN INCOMPRESSIBLE FLUID. IN ADDITION TO THE VELOCITY AND PRESSURE OF THE FLUID, THE VELOCITY GRADIENT AND THE BERNOUILLI-TYPE STRESS TENSOR ARE INTRODUCED AS FURTHER UNKNOWNS, WHICH ALLOWS TO ELIMINATE THE PRESSURE FROM THE EQUATIONS AND COMPUTE IT AFTERWARDS VIA A POSTPROCESSING FORMULA. IN TURN, BESIDES THE CELL DENSITY AND THE CHEMICAL SIGNAL CONCENTRATION, THE PSEUDOSTRESS ASSOCIATED WITH THE FORMER AND THE GRADIENT OF THE LATTER ARE INTRODUCED AS AUXILIARY UNKNOWNS AS WELL. THE RESULTING CONTINUOUS FORMULATION, POSED IN SUITABLE BANACH SPACES, CONSISTS OF A COUPLED SYSTEM OF THREE SADDLE POINT-TYPE PROBLEMS, EACH ONE OF THEM PERTURBED WITH TRILINEAR FORMS THAT DEPEND ON DATA AND THE UNKNOWNS OF THE OTHER TWO. THE WELL-POSEDNESS OF IT IS ANALYZED BY MEANS OF A FIXED-POINT STRATEGY, SO THAT THE CLASSICAL BANACH THEOREM, ALONG WITH THE BABU?KA- BREZZI THEORY IN BANACH SPACES, ALLOW TO CONCLUDE, UNDER A SMALLNESS ASSUMPTION ON THE DATA, THE EXISTENCE OF A UNIQUE SOLUTION. ADOPTING AN ANALOGUE APPROACH FOR THE ASSOCIATED GALERKIN SCHEME, AND UNDER SUITABLE HYPOTHESES ON ARBITRARY FINITE ELEMENT SUBSPACES EMPLOYED, WE APPLY THE BROUWER AND BANACH THEOREMS TO SHOW EXISTENCE AND THEN UNIQUENESS OF THE DISCRETE SOLUTION. GENERAL A PRIORI ERROR ESTIMATES, INCLUDING THOSE FOR THE POSTPROCESSED PRESSURE, ARE ALSO DERIVED. NEXT, A SPECIFIC SET OF FINITE ELEMENT SUBSPACES SATISFYING THE REQUIRED STABILITY CONDITIONS, AND YIELDING APPROXIMATE LOCAL CONSERVATION OF MOMENTUM, IS INTRODUCED, WHICH, GIVEN AN INTEGER ? ? 0, IS DEFINED IN TERMS OF RAVIART-THOMAS SPACES OF ORDER ? AND PIECEWISE POLYNOMIALS OF DEGREE ? ? ONLY. THE RE

IN THIS PAPER WE CONSIDER A STRONGLY COUPLED FOW AND NONLINEAR TRANSPORT PROBLEM ARIS ING IN SEDIMENTATION-CONSOLIDATION PROCESSES IN RN , N ? {2, 3} , AND INTRODUCE AND ANA LYZE A BANACH SPACES-BASED VARIATIONAL FORMULATION YIELDING A NEW MIXED-PRIMAL FNITE ELEMENT METHOD FOR ITS NUMERICAL SOLUTION. THE GOVERNING EQUATIONS ARE DETERMINED BY THE COUPLING OF A BRINKMAN FOW WITH A NONLINEAR ADVECTION?DIFUSION EQUATION, IN ADDI TION TO DIRICHLET BOUNDARY CONDITIONS FOR THE FUID VELOCITY AND THE CONCENTRATION. THE APPROACH IS BASED ON THE INTRODUCTION OF THE CAUCHY FUID STRESS AND THE GRADIENT OF ITS VELOCITY AS ADDITIONAL UNKNOWNS, THUS YIELDING A MIXED FORMULATION IN A BANACH SPACES FRAMEWORK FOR THE BRINKMAN EQUATIONS, WHEREAS THE USUAL HILBERTIAN PRIMAL FORMULA TION IS EMPLOYED FOR THE TRANSPORT EQUATION. DIFERENTLY FROM PREVIOUS WORKS ON THIS AND RELATED PROBLEMS, NO AUGMENTED TERMS ARE INCORPORATED, AND HENCE, BESIDES BECOM ING FULLY EQUIVALENT TO THE ORIGINAL PHYSICAL MODEL, THE RESULTING VARIATIONAL FORMULATION IS MUCH SIMPLER, WHICH CONSTITUTES ITS MAIN ADVANTAGE, MAINLY FROM THE COMPUTATIONAL POINT OF VIEW. THE WELL-POSEDNESS OF THE CONTINUOUS FORMULATION IS ANALYZED FRSTLY BY REWRITING IT AS A FXED-POINT OPERATOR EQUATION, AND THEN BY APPLYING THE SCHAUDER AND BANACH THEOREMS, ALONG WITH THE BABU?KA-BREZZI THEORY AND THE LAX-MILGRAM LEMMA. AN ANALOGUE FXED-POINT STRATEGY IS EMPLOYED FOR THE ANALYSIS OF THE ASSOCIATED GALERKIN SCHEME, USING IN THIS CASE THE BROUWER THEOREM INSTEAD OF THE SCHAUDER ONE. THE RESULTING DISCRETE SCHEME BECOMES MOMENTUM CONSERVATIVE FOR THE FUID IN AN APPROXIMATE SENSE. NEXT, A STRANG-TYPE LEMMA AND SUITABLE ALGEBRAIC MANIPULATIONS ARE UTILIZED TO DERIVE THE A PRIORI ERROR ESTIMATES, WHICH, ALONG WITH THE APPROXIMATION PROPERTIES OF THE FNITE ELEMENT SUBSPACES, YIELD THE CORRESPONDING RATES OF CONVERGENCE. THE PAPER IS ENDED WITH SEVERAL NUMERICAL RESULTS ILLUSTRATING THE PERFORMANCE OF THE MIXED-PRIMAL SCHEME AND

MANY REPORTERS HAVE HIGHLIGHTED THAT LOCATION-BASED SERVICES (LBS) HAVE OPENED SEVERAL QUESTIONS CONCERNING PRIVACY. WHEN A CLIENT RELEASES HER LOCATION TO A LBS, SHE COULD PUT HERSELF IN DANGER. TO MITIGATE THIS ISSUE, RESEARCHERS HAVE PROPOSED SEVERAL LOCATION CLOAKING TECHNIQUES. HOWEVER, THESE SOLUTIONS HAVE SEVERAL DRAWBACKS. MOST OF THEM ARE BASED ON AN ANONYMIZER AND THEY DO NOT ADDRESS THE SCALABILITY ISSUES FACED BY THE SERVER WHEN A HIGH DEMAND FOR LOCATION PRIVACY PROTECTION IS REQUESTED. ALSO, THEY DO NOT CONSIDER THE POTENTIAL NEGATIVE IMPACT ON THE LBS WHEN POSTERIORI PROCESSING OF MANY LOCATIONCLOAKED QUERIES (LCQ). THIS PAPER CONSIDERS THE PROBLEMS OF EFFICIENT CONSTRUCTION OF LOCATION CLOAKING AREAS WHEN A TRUSTED ANONYMIZER NEEDS TO PROVIDE LOCATION PRIVACY PROTECTION FOR HETEROGENEOUS LBS CLIENTS AND TO LIMIT THE COST OF PROCESSING MANY LCQS AT THE LBS. OUR KEY GOAL IS TO BUILD SHARED CLOAKING REGIONS FOR LBS USERS LOCATED NEARBY EACH OTHER AND HAVING SIMILAR PRIVACY CONCERNS. WE PROPOSE SEVERAL BATCHING APPROACHES FOR BUILDING PROPER CLOAKING REGIONS. THROUGHOUT EXTENSIVE SIMULATIONS, WE WILL SHOW OUR APPROACH CAN BALANCE BOTH THE ANONYMIZER WORKLOAD AND LBS WORKLOAD.

TURING MACHINES HAVE BEEN STUDIED AS DYNAMICAL SYSTEMS FOR MORE THAN TWO DECADES, FIRST FORMALIZED BY KURKA, PROPOSING A TOPOLOGICAL DYNAMICAL SYSTEM NAMED TURING MACHINE WITH MOVING TAPE (TMT). IT WAS CONJECTURED THAT EVERY TMT HAS AT LEAST ONE PERIODIC POINT. NOWADAYS, THERE ARE SEVERAL EXAMPLES OF APERIODIC TURING MACHINES, DISPROVING KURKA?S CONJECTURE. MOREOVER, ONE OF THESE MACHINES, NAMED SMART, HAS OTHER INTERESTING PROPERTIES LIKE REVERSIBILITY, COMPLETENESS, APERIODICITY, TOPOLOGICAL MINIMALITY, AMONG OTHERS. THIS MACHINE HAS FOUR STATES AND WORKS OVER AN ALPHABET OF THREE SYMBOLS. IN THIS RESEARCH, WE STUDY THE DYNAMICAL PROPERTIES OF BINSMART, A 2-SYMBOLS RECONSTRUCTION OF THE MAIN DYNAMIC OF SMART MACHINE. THIS MACHINE RESULTS TO BE APERIODIC, TOPOLOGICALLY MINIMAL (THEREFORE TRANSITIVE) BUT NOT TIME-SYMMETRIC, AS IT IS NOT A DIRECT TRANSLATION OF THE ORIGINAL MACHINE. WE ALSO PROVE THAT ITS T-SHIFT IS A PRIMITIVE SUBSTITUTION.

THE ACINETOBACTER CALCOACETICUS?ACINETOBACTER BAUMANNII COMPLEX, OR ACB COMPLEX, CONSISTS OF SIX SPECIES: ACINETOBACTER BAUMANNII, ACINETOBACTER CALCOACETICUS, ACINETOBACTER NOSOCOMIALIS, ACINETOBACTER PITTII, ACINETOBACTER SEIFERTII, AND ACINETOBACTER LACTUCAE. A. BAUMANNII IS THE MOST CLINICALLY SIGNIFICANT OF THESE SPECIES AND IS FREQUENTLY RELATED TO HEALTHCARE-ASSOCIATED INFECTIONS (HCAIS). CLUSTERED REGULARLY INTERSPACED SHORT PALINDROMIC REPEAT (CRISPR) ARRAYS AND ASSOCIATED GENES (CAS) CONSTITUTE BACTERIAL ADAPTIVE IMMUNE SYSTEMS AND FUNCTION AS VARIABLE GENETIC ELEMENTS. THIS STUDY AIMED TO CONDUCT A GENOMIC ANALYSIS OF ACB COMPLEX GENOMES AVAILABLE IN DATABASES TO DESCRIBE AND CHARACTERIZE CRISPR SYSTEMS AND CAS GENES.

THE HIERARCHICAL NETWORK DESIGN PROBLEM CONSISTS OF LOCATING A MINIMUM COST BI-LEVEL NETWORK ON A GRAPH. THE HIGHER LEVEL SUB-NETWORK IS A PATH VISITING TWO OR MORE NODES. THE LOWER LEVEL SUB-NETWORK IS A FOREST CONNECTING THE REMAINING NODES TO THE PATH. WE OPTIMALLY SOLVE THE PROBLEM USING AN AD HOC BRANCH AND CUT PROCEDURE. RELAXED VERSIONS OF A BASE MODEL ARE SOLVED USING AN OPTIMIZATION PACKAGE AND, IF BINARY VARIABLES HAVE FRACTIONAL VALUES OR IF SOME OF THE RELAXED CONSTRAINTS ARE VIOLATED IN THE SOLUTION, CUTTING PLANES ARE ADDED. ONCE NO MORE CUTS CAN BE ADDED, BRANCH AND BOUND IS USED. THE METHOD FOR FINDING VALID CUTTING PLANES IS PRESENTED. FINALLY, WE USE DIFFERENT AVAILABLE TEST INSTANCES TO COMPARE THE PROCEDURE WITH THE BEST KNOWN PUBLISHED OPTIMAL PROCEDURE, WITH GOOD RESULTS. IN NONE OF THE INSTANCES WE NEEDED TO APPLY BRANCH AND BOUND, BUT ONLY THE CUTTING PLANES.

IN THIS WORK, WE STUDY THE C0-NONCONFORMING VEM FOR THE FOURTH-ORDER EIGENVALUE PROBLEMS MODELING THE VIBRATION AND BUCKLING PROBLEMS OF THIN PLATES WITH CLAMPED BOUNDARY CONDITIONS ON GENERAL SHAPED POLYGONAL DOMAIN, POSSIBLY EVEN NONCONVEX DOMAIN. BY EMPLOYING THE ENRICHING OPERATOR, WE HAVE DERIVED THE CONVERGENCE ANALYSIS IN DISCRETE H2 SEMINORM, AND H1, L2 NORMS FOR BOTH PROBLEMS. WE USE THE BABUSKA-OSBORN SPECTRAL THEORY (BABUSKA AND OSBORN, 1991), TO SHOW THAT THE INTRODUCED SCHEMES PROVIDE WELL APPROXIMATION OF THE SPECTRUM AND PROVE OPTIMAL ORDER OF RATE OF CONVERGENCE FOR EIGENFUNCTIONS AND DOUBLE ORDER OF RATE OF CONVERGENCE FOR EIGENVALUES. FINALLY, NUMERICAL RESULTS ARE PRESENTED TO SHOW THE GOOD PERFORMANCE OF THE METHOD ON DIFFERENT POLYGONAL MESHES.(C) 2022 ELSEVIER B.V. ALL RIGHTS RESERVED.

IN THIS PRESENT PAPER, WE PROPOSE AND ANALYZE A -CONFORMING VIRTUAL ELEMENT METHOD TO SOLVE THE SO-CALLED ONE-LAYER STATIONARY QUASI-GEOSTROPHIC EQUATIONS (QGE) WITH APPLICATIONS IN THE LARGE SCALE WIND-DRIVEN OCEAN CIRCULATION, FORMULATED IN TERMS OF THE STREAM-FUNCTION. THIS PROBLEM CORRESPONDS TO A NONLINEAR FOURTH ORDER PARTIAL DIFFERENTIAL EQUATION. THE VIRTUAL SPACE AND THE DISCRETE SCHEME ARE BUILT IN A STRAIGHTFORWARD WAY DUE TO THE FLEXIBILITY OF THE VIRTUAL APPROACH. UNDER THE ASSUMPTION OF SMALL DATA, WE PROVE WELL-POSEDNESS OF THE DISCRETE PROBLEM BY USING A FIXED-POINT STRATEGY AND UNDER STANDARD ASSUMPTIONS ON THE COMPUTATIONAL DOMAIN, WE ESTABLISH ERROR ESTIMATES IN -NORM FOR THE STREAM-FUNCTION. FINALLY, WE REPORT FOUR NUMERICAL EXPERIMENTS THAT ILLUSTRATE THE BEHAVIOR OF THE PROPOSED SCHEME AND CONFIRM OUR THEORETICAL RESULTS ON DIFFERENT FAMILIES OF POLYGONAL MESHES.

IN THIS STUDY, WE PRESENT AND ANALYZE A VIRTUAL ELEMENT DISCRETIZATION FOR A NONSELFADJOINT FOURTH-ORDER EIGENVALUE PROBLEM DERIVED FROM THE TRANSMISSION EIGENVALUE PROBLEM. USING SUITABLE PROJECTION OPERATORS, THE SESQUILINEAR FORMS ARE DISCRETIZED BY ONLY USING THE PROPOSED DEGREES OF FREEDOM ASSOCIATED WITH THE VIRTUAL SPACES. UNDER STANDARD ASSUMPTIONS ON THE POLYGONAL MESHES, WE SHOW THAT THE RESULTING SCHEME PROVIDES A CORRECT APPROXIMATION OF THE SPECTRUM AND PROVE AN OPTIMAL-ORDER ERROR ESTIMATE FOR THE EIGENFUNCTIONS AND A DOUBLE ORDER FOR THE EIGENVALUES. FINALLY, WE PRESENT SOME NUMERICAL EXPERIMENTS ILLUSTRATING THE BEHAVIOR OF THE VIRTUAL SCHEME ON DIFFERENT FAMILIES OF MESHES.

IN THIS PAPER, WE PROPOSE AND ANALYZE A C1-VIRTUAL ELEMENT METHOD OF HIGH ORDER TO SOLVE THE BRINKMAN PROBLEM FORMULATED IN TERMS OF THE STREAM FUNCTION. THE VELOCITY IS OBTAINED AS A SIMPLE POST-PROCESS FROM STREAM FUNCTION AND A NOVEL STRATEGY IS WRITTEN TO RECOVER THE FLUID PRESSURE. WE ESTABLISH OPTIMAL A PRIORI ERROR ESTIMATES FOR THE STREAM FUNCTION, VELOCITY AND PRESSURE WITH CONSTANTS INDEPENDENT OF THE VISCOSITY. FINALLY, WE REPORT SOME NUMERICAL TEST ILLUSTRATING THE BEHAVIOR OF THE VIRTUAL SCHEME AND SUPPORTING OUR THEORETICAL RESULTS ON DIFFERENT FAMILIES OF POLYGONAL MESHES.

WE GIVE A NEW CHARACTERIZATION OF GENERALIZED BÜCHI SEQUENCES (SEQUENCES WHOSE SEQUENCE OF SQUARES HAS CONSTANT SECOND DIFFERENCE (A), FOR SOME FIXED INTEGER A) OF LENGTH 3 OVER THE INTEGERS AND A STRATEGY FOR ATTACKING BÜCHIS N SQUARES PROBLEM. KNOWN CHARACTERIZATIONS OF INTEGER BÜCHI SEQUENCES OF LENGTH 3 ARE ACTUALLY CHARACTERIZATIONS OVER THE RATIONALS, PLUS SOME DIVISIBILITY CRITERIONS THAT KEEP INTEGER SEQUENCES.

IN THIS PAPER, WE PROPOSE A NEW CLASS OF NON-GAUSSIAN RANDOM FIELDS NAMED TWO-PIECE RANDOM FIELDS. THE PROPOSED CLASS ALLOWS TO GENERATE RANDOM FIELDS THAT HAVE FLEXIBLE MARGINAL DISTRIBUTIONS, POSSIBLY SKEWED AND/OR HEAVY-TAILED AND, AS A CONSEQUENCE, HAS A WIDE RANGE OF APPLICATIONS. WE STUDY THE SECOND-ORDER PROPERTIES OF THIS CLASS AND PROVIDE ANALYTICAL EXPRESSIONS FOR THE BIVARIATE DISTRIBUTION AND THE ASSOCIATED CORRELATION FUNCTIONS. WE EXEMPLIFY OUR GENERAL CONSTRUCTION BY STUDYING TWO EXAMPLES: TWO-PIECE GAUSSIAN AND TWO-PIECE TUKEY-H RANDOM FIELDS. AN INTERESTING FEATURE OF THE PROPOSED CLASS IS THAT IT OFFERS A SPECIFIC TYPE OF DEPENDENCE THAT CAN BE USEFUL WHEN MODELING DATA DISPLAYING SPATIAL OUTLIERS, A PROPERTY THAT HAS BEEN SOMEWHAT IGNORED FROM MODELING VIEWPOINT IN THE LITERATURE FOR SPATIAL POINT REFERENCED DATA. SINCE THE LIKELIHOOD FUNCTION INVOLVES ANALYTICALLY INTRACTABLE INTEGRALS, WE ADOPT THE WEIGHTED PAIRWISE LIKELIHOOD AS A METHOD OF ESTIMATION. THE EFFECTIVENESS OF OUR METHODOLOGY IS ILLUSTRATED WITH SIMULATION EXPERIMENTS AS WELL AS WITH THE ANALYSIS OF A GEOREFERENCED DATASET OF MEAN TEMPERATURES IN MIDDLE EAST.