Mathematical Exploration of the EnvironmentOne of the most important tasks of mathematics is to describe or approximate the phenomena of nature as exactly as possible, and to provide a useful tool in the exploration of nature. For a deeper understanding of natural phenomena we need a systematized definition of the most important mathematical notions and statements. In this book, a new concept of the structure of the environment is introduced. The environment has a porous structure. This concept applies sets of state characteristic values. The book provides a mathematical method which can process a very high number and different kinds of state characteristic values, surveys the complex correlations and explains the structure and the local and global properties of the environment by means of a novel mathematical interpretation. |
Common terms and phrases
a₁ according acteristic adjoint indices advantageous strategy advantageous values age class ai,n aj,m ak₁ akko application arbitrary average b₁ b₂ Bán base set basis biological state characteristics character characteristic values chestnut oak complete computed consequence data set defined Definition denoted determined disease environmental state characteristics exists expert system follows forest compartments Forestry function given state characteristics global absolute optimum grown from seeds hornbeam identity relations identity subset interval subsystem interval system istics lower and upper mathematical construction means mixing rate mutually unambiguous projection nat ok natural local optimum natural state characteristic observed values optima 01 optimum of nature parameter values phenomena phenomenon or process plot polynomials possible practice Rt(aj,m selection algorithm selection state characteristics sequence solution specific features symbol set target state characteristics task teristics theorem timber volume timber yield group timber yield tables tree species turkey oak value set wanted entities yield control