Hageman Factor

The Hageman factor is a measure of vasodilation that reflects the local inflammatory response to skin damage and indicates the risk of developing associated complications.

The hemodynamics of dilated vessels can be determined in children using palpation and auscultation through the anterior abdominal wall. To determine the Hageman factor, direct measurements of the linear dimensions of blood vessels are used normally and after injection with a small-caliber needle.

Hageman factor

The Hageman factor is an example of an algorithmic solution to the problem of the maximum or minimum sum of subsets of a set of n elements when it is not allowed to select elements that have elements in common with the selected set. This algorithm was developed by Alfred Hagemann in 1983.

Hageman's algorithm consists of three steps:

1. Read the set of numbers A[1..n] and determine its range. Depending on the problem, this can be either the sum or the product of the values ​​of the set. Let this range be equal to L. 2. Sort set A in ascending order. This can be done in O(n log n) comparisons. We find the average value of sets A and B, that is, i such that sum(A[1..i]) + (n-i) * (L/n) = sum(B). And we create a variable j such that A[j] < b < A[j+1]. 3. Если b - A[j], то добавляем A[j, j+1] в оптимальное множество. Иначе, добавляем в него число, равное среднему значению между A[i] и A[k], где k такое, что b/A[i, k] + (A[k] / b) * sum((A[j..k] | | A[i .. k])) = L/n. Таким образом, мы нашли