He everyone. Let me first start by introducing myself. I am Mourad Ezzouidi. I am a Tunisian math graduate. I have a bachelor degree in mathematics and am a math researcher regarding concepts operator, ma…thematica…l ……methods and resolutions of the search for zeros of polynomials of respective sizes (n, q ……..) and (n, _q), relative to such a format and also the delta of indexes ( n) and orders( q) , a very general notion which can be applied to( H ) concepts of molecular indexes and orders.

I have invented more than forty-seven theorems with each followed by its own evidence no matter what the format is wherein zeros are explicitly retrieved. I have prepared the first three books containing 47 theorems followed by their own evidence and two books containing exercises format F(n, q) and F (n, _q)

I have discovered new ways of solving a polynomial-formats wherein ( n) denotes the degree and (q) denotes the order and not its order of multiplicity
I was even able to solve a single linear equation with unknown (n). The resolution was made extraordinarily.

I have also discovered new methods of calculating the orders of zeros of polynomial-size (n, pq) and (n, _p q) wherein (p) denotes a natural integer of this format (n, q) and (n, _q) whose resolution is explicitly.

This innovation to the notions of molecular molecule (H) index and the respective order ( n, m, q, r) and let H (n, q) and H (m, r) I can determine their coefficient molecule index and order is defined only by a single coefficient is calculated by a formula that generalizes by polynomials formats that can give a general knowledge of a molecule tell who is not already known from classical to modern chemistry . I have two spaces ; the first_namely Mouradian deals with resolving all polynomials with format(n,q) or (n,_ q) and the second space_ Moracian based on the concepts of molecular indexes and orders.

I really am looking for math Thinkers, scholars, Unions , organizations, communities, bodies who can understand and visualize my concepts, mathematical methods and resolutions of the search of zeros of polynomials formats respective (n, q) and (n, _q) and most importantly assist me in spreading them out and making use of them in order to develop human consciousness and bringing about a breakthrough in the field of math which will completely change human appreciations to norms of mathematics physics, chemistry ……

Here is an resolved example of a polynomial function of the above-mentioned format.(12, q) solve P (x) = X12 – 12×11+ 66×10 – 220X9 + 495X8 – 792X7 + 60×6 + 4392×5 – 12465×4 + 17060X3 – 12894×2 + 5172X – 863 = 0 wherein xp ; with (x)denoting an integer exponent p

to solve this polynomial size (n, q) wherein n = 12 indicates the degree
and (q) denotes its order and not the order of multiplicities it is sufficient to
solve this polynomial different format but differ in order say (q ‘as the respective indices (6,7,8,9,10,11,12) is also zero there will exist a format (6, q) noted that zeros are equal and another format (6, q) not satisfying remarkable

x12-2579890176×6 = 0 then there exists a remarkable format
(12-6, q) and another format not remarkable (6, q) such that p (x)
polynomial has at most six equal roots of order q and six other
roots not necessarily equal and we (12-6, q) (6, q) = (6, q) (6, q) = (12, q)

x6 = x6 = 0 wherein xexp6 = 2579890176
and alpha = (1) format (6, q) equal

and b = 1 + v wherein vexp6 = 864

ezzouidi mourad sultan

Soit le polynome de format (6, p q) du chercheur tunisien ezzouidi mourad sultan qu’on doit le résoudre

P(x)= x^6-12^5 +54x^4 -112x^3 +107x^2 -44x +6=0

On voit que ce polynôme est de format (6, p q) du chercheur tunisien ezzouidi mourad sultan ou 6 désigne son degré et p q désigne son ordre et pas son ordre de multiplicité .donc pour déterminer les zéros de ce polynôme de format F(6, p q) du chercheur tunisien ezzouidi mourad sultan.

Il suffit de chercher les formats S ( r, p q’) du chercheur tunisien ezzouidi mourad sultan relatives aux formats L(r , p q) du chercheur tunisien ezzouidi mourad sultan ou r parcourt l’ensemble (-1, 0, 1 , 2 , 3 , 4 , 5) , autrement dit , il faut trouver le polynôme de format ( 6, p q’) relatif au polynôme de format (6, p q) alors en effet ;

S(-1 , p q’) =1 ;S(0 , p q’) =0;S(1 , p q’) = -216;S(2 , p q’)= 0; S(3 , p q’)=+14256

S ( 4, p q’)= 0; S (5 , p q’)= -2799360; autrement dit toutes les formats sont toutes nulles.Sauf les formats S (-1, p q’) et S(2, p q’) , donc après calculs fait on écrit

P(x)= x^6 -216x^2 +14256x^2 -279936=0 posons x^2=y on obtient

P(x)= y^3 -216y^2 +14256yx -279936=0 cela entrainne que

Il suffit de chercher les formats S ( r, p q’’) du chercheur tunisien ezzouidi mourad sultan relatives aux formats S(r , p q’ du chercheur tunisien ezzouidi mourad sultan ou r parcourt l’ensemble (-1, 0, 1 , 2) , autrement dit , il faut trouver le polynôme de format ( 3, p q’’) relatif au polynôme de format (3, p q’ alors en effet ;

P(x)= z^3-11664z=0
C’est-à-dire qu’il existe une format remarquable (3-2, p q’’ possède au plus un zéro égale et une autre format non remarquable (3-1 , p q’’ possède au plus deux zéros distincts d’ou le polynôme de format (3, p q’’) du chercheur tunisien ezzouidi mourad sultan s’écrit comme le produit de deux polynômes l’une de format remarquable

(3-2, p q’’)du chercheur tunisien ezzouidi mourad sultan et l’autre pas forcement de format remarquable (3-1, p q’’ du chercheur tunisien ezzouidi mourad sultan .

Alors (3, p q’’) =(3-2, p q’’) (3-1, p q’’)= (3-1, p q’’ +(3-2, p q’’)

Alors les zéros du polynôme de format (3, p q’) du chercheur tunisien ezzouidi mourad sultan sont les zéros des polynômes de formats (3-1, p q’’) et (3-2 p q’’) du chercheur tunisien ezzouidi mourad sultan

donc le polynôme de format (3, p q » du chercheur tunisien ezzouidi mourad sultan s’écrit comme produit de deux polynômes

l’une de format remarquable (3-2, p q » dont le zéro est unique et l’autre pas forcement de format remarquable (3-1, p q » dont les zéros sont distincts .

en fin z1= -108, =z2=0,z3=108

donc y1=72 , y2=108 , y3=36 et parsuite les zeros du polynome de format F(6, pq’ du chercheur tunisien ezzouidi mourad sultan sont ;
v1=6 , v2= -6 , v3=6radical(3) , v4= -6radical(3), v5= 6radical(2) , v6= -6radical(2)

donc les zeros du polynome de format F(6, pq) du chercheur tunisien ezzouidi mourad sultan sont : alpha 1=3 ,alpha 2=1,alpha 3= 2+radical(3) ,alpha 4= 2-radical(3)
alpha 5= 2+radical(2) et alpha 6= 2-radical(2)