Krenlein Scheme

The Krenlein diagram is a method that is used to solve problems in mathematics, physics and other sciences. It was proposed by the German mathematician Rudolf Kroenlein in 1937.

A Krenlein diagram can be represented as a tree, where each node represents a function, and each edge represents an argument to that function. At the top of the tree is the function we want to evaluate, and at the leaves are the known values ​​of the arguments.

To calculate the value of a function at the top of a tree, we first calculate the values ​​of the functions at all nodes that are on the path from the root to that node. We then apply these values ​​to the corresponding arguments and obtain the value of the function at the given node.

For example, if we want to calculate the value of a function f(x, y), which is given by a tree, then we first calculate the values ​​of the functions g(y) and h(x), which are located on the corresponding edges. We then apply these values ​​to the arguments y and x respectively to obtain the values ​​of the functions f(g(y), h(x)). Finally, we apply the value of f to the resulting values ​​of g and h to obtain the value of f at the top of the tree.

Thus, the Krenlein scheme allows you to efficiently calculate the value of a complex function by breaking it down into simpler parts and applying them sequentially. This method is widely used in various fields of science and engineering such as physics, chemistry and programming.