The natural phenomena of the physical world exist in clear opposition to each other, yet they depend upon each other and one embraces the other. For this reason, three numbers may describe harmony and unity among positive, negative, and neutral objects. These three numbers are called numbers of nature. For atomic matter, numbers of nature are three numbers indicating quantity protons, electrons, and neutrons in an atom. The table of Mendeleev is a list of numbers of nature for chemical elements.

A vector of nature is a vector of ratios that reflects the state of nature, as unity positive and negative or unity positive, negative, and neutral. A vector of stability of nature is a vector of ratios that reflects the state of nature, as unity and balance of positive and negative or unity and balance of positive, negative, and neutral, when neutral is complementary to a balance of positive and negative.

There are diverse bonds between gematrical vectors and vectors of nature and unique bonds between gematrical vectors and vectors of stability of nature. If a gematrical vector is founded by one or more vectors of stability of nature, then such a gematrical vector is a perfect vector.

A perfect vector has both magnitude and direction. Because perfect vectors are founded by one or more vectors of stability of nature in two or three directions, it can be represented as a sequence of vectors of stability of nature or as a sequence of magnitudes and directions of vectors of stability of nature.

Any G-combination may be calculated and represented by a gematrical vector. If a G-combination is represented by a perfect vector, i.e., a gematrical vector made up of one or more vectors of stability of nature, then such a G-combination is a perfect G-combination.

Periodic trends are observable patterns in the properties of the elements of nature that illustrate different aspects of physical processes, characteristics and features of physical reality, and periodic variations of properties of elements of nature. Throughout history scientists have tried to classify elements of nature and to construct their periodic trends.

Spiritual and physical matter depend on each other. Periodic processes of reality may be represented by gematrical vectors by calculating and converting spiritual letter combinations. For this reason, the periodic trends are based on sets of patterns of building blocks of creation represented by various generations of spiritual letter combinations. Periodic trends can be discovered by G-combinations and their gematrical vectors and this allows us to find periodic trends in different fields of science and technology.

Periodic trends in the Hebrew Bible are defined by generative combinations. The Hebrew Bible describes periodic states and processes of reality that may be detected and discovered by G-combinations and their gematrical vectors.

The Torah describes periodic processes of reality through diverse generations of primary letter combinations of the Torah. These G-combinations can be calculated and represented by gematrical vectors or perfect vectors. The classification tables are a set of gematrical vectors or perfect vectors of the same generation; i.e., a quantitative description of a set of G-combinations or perfect G-combinations that have the same index of generation. Such a table describes a set of vectors of nature or vectors stability of nature and their indexes of bonds. Thus, all G-combinations of any primary spiritual letter combination can be represented by a set of classification tables. These classification tables can be transformed into periodic trends of nature in many ways.