Sub-Differential (Topology)

According to stimulated topology, the significance for sub-differentials can contain complex matrix determining and the field of theoretical physics. For all units of mathematical discoveries this topic is unbelievably rare as notation hasn`t likely been used before, but a very similar occurrence, is imaginary indexes found in Alexandrov Topology, but this is a small exchange of that.

The Introduced case study involves uncomplete topic as Geometry found in Calculus linked with Alexandrov Topology is too rare to consider "pure notation".

The Sub-Differential is the classified variant of a derivative, It integrates its symmetric tone and twists its index so it is equal to constant known as ᙏ and threads through time t it only considers proof when integrated infinite times known as F*(x) a table of values will be inserted.

The notation to consider such values will be tamed as

t,

The sub derivative inverses the function to is most prime partner for example, If thou was to take any value P as a prime numeral and sub, derive it P, it would act as a national conjugate

t,= all factors of t divided by factorings.

$$t,=\frac{\varepsilon_\bullet}{\ell_f}$$

The functional integral of t, lies between matrixes as for all relations..

$$,t=\varepsilon_\bullet \cdot \Delta_{{\mathcal{U}};{\ell f}}$$

$$,t^\star=\overset{,t}{\underset{t,}{I}}$$

This leads to a transform.

x   ||||||    x,                                                     ________________ 1             1

n             n/x...

nx            n2/x..

xn            xn/x...

y             f

x/y           f1/f