Conditional Extremum Model’s Construction Of Competitive Performance Of Elite Athletes Of Latin Dance In The World

Competitive performance refers to the presentation and display of the athletic’s competitive ability acquired in training,It is determined by internal factors such as athletes’ competitive ability,coaches’ command ability and external factors such as opponents’ competitive ability,competition field factor and accident factor,and has a direct impact on athletes’ competition results.Literature review,video observation,optimization method,questionnaire survey,mathematical statistics were used in this paper,the competitive performance connotation structure was built systematically from a new perspective of competitive performance prediction,and the condition extremum model of competitive performance of elite athletes of Latin dance in the world was built scientifically on the basis of the combination of sports dance and higher mathematics’ theory knowledge,and the application of establishing competitive goals,diagosing competitive state,predicting competition performance,determining technical and tactics’ style,and formulating winning strategies were discussed widely,in order to break through barriers of empirical training,enhance the level of Latin dance training and training effects.The main research work and conclusions of this paper are as follows:1.Based on the thinking of "integration of points and sphere",the fundamental compliance of Latin dance performance evaluation indexes to the connotation elements of competitive pperformance was exploredBased on the concept of "competitive performance is the manifestation pattern of athletes’ competitive ability in the competition",the connotation structure of competitive performance is constructed.In accordance with the logical reasoning of Latin dance performance evaluation index,the internal clue of Latin dance performance evaluation index’being the reflection of the connotation elements of competitive performance was clarified.The basic conclusions are as follows: the technical quality index,as an explicit manifestation of skill performance,physical performance and psychological performance,is related to the quality of athletes’ movement application and movement connection under the support of sport quality and the safeguarding of competition emotion.Music interpretation,as an explicit manifestation of intelligence performance,skill performance and psychology performance,is related to the movement strain and competition emotion embodied in competition thought under the guidance of athletes’ competition attention.Partner’s coordination,as an explicit manifestation of intelligence performance,skills performance and tactics performance,is related to athletes’ movement application and movement cohesion under the original coordination plan,as well as competition observation,competition thought and tactical changes under the improvisational coordination strategies.Movement composition,as an explicit manifestation of tactical performance and skill performance,is related to the tactical application,movement application and movement connection highlighting athletes’ winning decision.2.Using modern optimization theory to construct the condition extremum model of competitive performance of elite athletes of Latin dance in the worldThe modern optimization theory aims to seek the optimal decision to obtain the best economic effect.Based on this theory,the condition extremum model of competitive performance of elite athletes of Latin dance in the world has a practical guiding function for the formulation of sports training programs and competitive competition strategies.The basic conclusion are as follows: the conditional extremum model consists of objective function and constraint function.Its objective function aims to express how the four sub-indexes of technical quality,music interpretation,partner’s coordination and movement composition are constructed into competitive performance.The constraint function aims to include the five influencing factors of physical performance,skill performance,tactical performance,psychological performance and intelligence performance into the constraint conditions of athletes’ competitive performance,establish the limit value of the sub-index of competitive performance through the constraint conditions,and express it by using inequalities or equations containing independent variables.The maximum or minimum value that the objective function can work out under the constraint conditions is the conditional extreme value of the athletes’ competitive performance.3.Using pareto analysis and gap coefficient to diagnose the competitive state of the world’s top Latin dancersThe condition extremum model of competitive performance of elite athletes of Latin dance in the world can be used to diagnose the competitive state and adjust the training scheme of individual dancers on the micro.Specific conclusions are as follows: taking the athletes Timur Imametdinov,Nina Bezzuova’s competitive performance of Jive dance as the analysis object,the diagnosis of their actual competitive state relied on the pareto diagram of each index’s average score of their competitive performance of Jive dance competition in the past,and according to the result,their weak indicators was the technical quality X1,and the diagnosis of their target competitive state relied on gap coefficients,accordingly,the sub-index of competitive performance which had the biggest gap with target value wasmovement composition X4.4.Using the screening resulsts of solution set of function of multiple variables to formulate winning strategies for the world’s top Latin dancersThe condition extremum model of competitive performance of elite athletes of Latin dance in the world can be uesd to build a technical and tactical style,and formulate athletes’ individual winning strategies on the medium.Specific conclusions are as follows:taking the athletes Armen Tsaturyuan 、Svetlana Gudyno’s competitive performance of the Paso Doble dance as the analysis object,under the premise of setting their competitive performance’s total score of the Paso Doble dance is 37.6 points,each index score’s all the solution set of interval were worked out in turn,and by combining with the situation of their each sub-index average score,the effective winning strategy ought to conform to its individual advantage was determined as highlighting music interpretation X2,technical quality X1,partner’s coordination X3.Under this requirement,they can choose two suitable winning strategies:(X1=10,X2=9,X3=9,X4=8)and(X1=10,X2=8,X3=9,X4=8).5.Combining with the radar diagram to present the predicted development trend of Latin dance competitive performance at different levelsThe condition extremum model of competitive performance of elite athletes of Latin dance in the world can be uesd to forecast sport items’ competition results,and grasp the overal level of the sport items’ development trend on the macro.The specific conclusions are as follows: through the regular level prediction,supernormal level prediction and abnormal level prediction of the overall sport items’ competitive performance of Samba,Cha-cha,Rumba,Paso Doble and Jive,the variation law of the sport items’ competitive performance were understood from three levels.Among them,the ideal competitive performance scores of Samba,Cha-cha,Rumba,Paso Doble,and Jive under the supernormal level prediction are39.05、39.653、39.772 39.17、39.527 respectively.