Number CombinationsLukukombinaatiotOn the both sides of the Pascal's triangle, the second upright row forms natural numbers 1, 2, 3, 4, 5,... Natural numbers can be used for counting objects, which can touch by hand like screws and nuts. On the both sides of the triangle, the third upright row forms triangular numbers 1, 3, 6, 10, 15, ... Triangular numbers are something we cannot touch. This is like the shadow of the calculation for the phenomena. EP-calculation is partly based on factor 1,1(2). Pascal observed, that with the help of the triangle, it was possible to solve combinations of the numbers. If we will find two objects from six objects group, so how many alternatives we have? By selecting of the natural numbers 1, 2, 3... the number 6 and of this one number to the right (or left), we have 15 alternatives. The principle is like the game of the light and shadows in the photo. We have in the example six pieces of objects. This is like the developed part on the photo that we can see. In the shadows we have the numbers of the combinations. This number isn't out of sight, because the Pascal's triangle indicates the number 15. Objects can be touched by hand, but the combinations cannot touch by hand. Both belong together and that we cannot touch is Equivalent Proportional Calculation. This shadow haven't understood. 31.12.2014*11:43 (960 - 394) |