OBJECTIVE: To estimate the operative mortality in patients with malignant obstructive jaundice. METHODS: Twelve risk factors were analyzed using multivariate discriminant analysis in 90 patients who had been operated ...OBJECTIVE: To estimate the operative mortality in patients with malignant obstructive jaundice. METHODS: Twelve risk factors were analyzed using multivariate discriminant analysis in 90 patients who had been operated on. RESULTS: Operative mortality was significantly related to the following factors: age, duration of jaundice, packed RBC volume, white blood cell count and concentration of blood urine nitrogen; it was not significantly related to diseases and types of operation. The following formula was obtained: packed RBC volume×0.09954-age×0. 04018-blood urine nitrogen×0. 23693-duration of jaundice× 2. 07388-WBC count×0. 21118+5. 26593. With this formula, an operative mortality of 77. 8% was predicted. CONCLUSION: With a positive value from the formula, the patient should be operated on; otherwise non-operative treatment is advocated.展开更多
In this paper, we study the relationship between iterated resultant and multivariate discriminant. We show that, for generic form f(xn) with even degree d, if the polynomial is squarefreed after each iteration, the ...In this paper, we study the relationship between iterated resultant and multivariate discriminant. We show that, for generic form f(xn) with even degree d, if the polynomial is squarefreed after each iteration, the multivariate discriminant A(f) is a factor of the squarefreed iterated resulrant. In fact, we find a factor Hp(f, [x1 , xn]) of the squarefreed iterated resultant, and prove that the multivariate discriminant A(f) is a factor of Hp(f,[x1,... ,xn]). Moreover, we conjecture that Hp(f, [x1,..., xn]) =△(f) holds for generic form f, and show that it is true for generic trivariate form f(x, y, z).展开更多
文摘OBJECTIVE: To estimate the operative mortality in patients with malignant obstructive jaundice. METHODS: Twelve risk factors were analyzed using multivariate discriminant analysis in 90 patients who had been operated on. RESULTS: Operative mortality was significantly related to the following factors: age, duration of jaundice, packed RBC volume, white blood cell count and concentration of blood urine nitrogen; it was not significantly related to diseases and types of operation. The following formula was obtained: packed RBC volume×0.09954-age×0. 04018-blood urine nitrogen×0. 23693-duration of jaundice× 2. 07388-WBC count×0. 21118+5. 26593. With this formula, an operative mortality of 77. 8% was predicted. CONCLUSION: With a positive value from the formula, the patient should be operated on; otherwise non-operative treatment is advocated.
文摘In this paper, we study the relationship between iterated resultant and multivariate discriminant. We show that, for generic form f(xn) with even degree d, if the polynomial is squarefreed after each iteration, the multivariate discriminant A(f) is a factor of the squarefreed iterated resulrant. In fact, we find a factor Hp(f, [x1 , xn]) of the squarefreed iterated resultant, and prove that the multivariate discriminant A(f) is a factor of Hp(f,[x1,... ,xn]). Moreover, we conjecture that Hp(f, [x1,..., xn]) =△(f) holds for generic form f, and show that it is true for generic trivariate form f(x, y, z).