This paper deals with the description and the representation of polynomials defined over n-simplices, The polynomials are computed by using two recurrent schemes: the Neville-Aitken one for the Lagrange interpolating ...This paper deals with the description and the representation of polynomials defined over n-simplices, The polynomials are computed by using two recurrent schemes: the Neville-Aitken one for the Lagrange interpolating operator and the De Casteljau one for the Bernstein-Bezier approximating operator. Both schemes fall intothe framework of transformations of the form where the F iare given numbers (forexample, at the initial step they coincide with the values of the function on a given lattice), and the coefficients (x) are linear polynomials valued in x and x is fixed. A general theory for such sequence of transformations can be found in [2] where it is also proved that these tranformations are completely characterized in term of a linear functional, reference functional. This functional is associated with a linear space., characteristic space.The concepts of reference functionals and characteristic spaces will be used and we shall prove the existence of a characteristic space for the reference functional: associated with these operators.展开更多
Objective To evaluate the validity of current spirometric reference values for healthy adults in Shanghai.Methods Healthy non-smoking adults without respiratory diseases were randomly enrolled in the study.Gender,age,...Objective To evaluate the validity of current spirometric reference values for healthy adults in Shanghai.Methods Healthy non-smoking adults without respiratory diseases were randomly enrolled in the study.Gender,age,standing height,body weight and spirometric parameters were obtained.The parameters were compared with reference values from current prediction equations with or without conversion factors.Results A total of 127 healthy adults (60 males and 67 females) aged 18-57 years participated in the study.In the study,pulmonary function parameters of healthy adults,especially of female adults were higher than predicted values,according to prediction equations from Chinese subjects in Shanghai.There were discrepancies between measuring values and reference values from foreign prediction equations with or without conversion factors.Conclusion Spirometric parameters of healthy adults,especially female population in Shanghai might be underestimated by present reference values from Chinese subjects.Foreign reference values and their conversion factors are not able to match measuring values.Validity of spirometric reference values for adults in Shanghai should be reassessed.展开更多
文摘This paper deals with the description and the representation of polynomials defined over n-simplices, The polynomials are computed by using two recurrent schemes: the Neville-Aitken one for the Lagrange interpolating operator and the De Casteljau one for the Bernstein-Bezier approximating operator. Both schemes fall intothe framework of transformations of the form where the F iare given numbers (forexample, at the initial step they coincide with the values of the function on a given lattice), and the coefficients (x) are linear polynomials valued in x and x is fixed. A general theory for such sequence of transformations can be found in [2] where it is also proved that these tranformations are completely characterized in term of a linear functional, reference functional. This functional is associated with a linear space., characteristic space.The concepts of reference functionals and characteristic spaces will be used and we shall prove the existence of a characteristic space for the reference functional: associated with these operators.
基金Supported by Foundation of the Chinese Medical Association (07010280036)
文摘Objective To evaluate the validity of current spirometric reference values for healthy adults in Shanghai.Methods Healthy non-smoking adults without respiratory diseases were randomly enrolled in the study.Gender,age,standing height,body weight and spirometric parameters were obtained.The parameters were compared with reference values from current prediction equations with or without conversion factors.Results A total of 127 healthy adults (60 males and 67 females) aged 18-57 years participated in the study.In the study,pulmonary function parameters of healthy adults,especially of female adults were higher than predicted values,according to prediction equations from Chinese subjects in Shanghai.There were discrepancies between measuring values and reference values from foreign prediction equations with or without conversion factors.Conclusion Spirometric parameters of healthy adults,especially female population in Shanghai might be underestimated by present reference values from Chinese subjects.Foreign reference values and their conversion factors are not able to match measuring values.Validity of spirometric reference values for adults in Shanghai should be reassessed.
