SOME APPLICATIONS OF SIT- ELEMENTS TO SETS THEORY AND OTHERS

Sit – elements for continual sets Definition 2. The set of continual elements {а} = (а1, а2, . . . , аn) at one point x of space X we shall call Sit – element, and such a point in space is called holding capacity of the continual Sit – element. We shall denote Stx {a} . Definition3. The ordered continual self-consistency in itself as an element A of the first type is the ordered holding capacity containing itself as an element. Denote S1fA ⃗⃗ ⃗⃗ ⃗⃗ ⃗⃗ ⃗ [3]. For example S∞ = sin∞ has such type. It denotes continual ordered selfconsistencies in itself as an element of next type—the range of simultaneous “activation” of numbers from [-1,1] in mutual directions: ↑ I ↓−1 1 . Also we consider next elements: S∞ =sin(-∞)--↓ I ↑−1 1 , T∞ = tg∞--↑ I ↓−∞ ∞ , T∞ =tg(-∞)--↓ I ↑−∞ ∞ , don’t confuse with values of these functions. Such elements can be summarized. For example: aS∞ +bS∞ =(a-b)S∞ + = (b − a) S∞ . Also may be considered operators for them. For