❞ كتاب Lecture notes in mathematics Weighted Littlewood-Paley Theory and Exponential-Square Integrability ❝ ⏤ Michael Wilson

Biologically

Biology is a natural science that is concerned with the study of life, its various forms and its function, how these organisms interact with each other and with the surrounding environment. The word biology in Greek is made up of two words: bio (βίος) meaning life. And loggia (-λογία) means science or study. Biology: the similarity of vegetation and animal cover on the edges of the African and American states, and the existence of the same fossil.

Branches of biology
Biology is an ancient science thousands of years old and modern biology began in the nineteenth century. This science has multiple branches. Among them are:

Anatomy
Botany
Biochemia
Biogeography
Biofisia
Cytology or cell science
Ecology or environmental science

نبذه عن الكتاب:

Littlewood-Paley theory can be thought of as a profound generalization of the
Pythagorean theorem. If x ∈ Rd—say, x = (x1, x2, ... , xd)—then we define
x’s norm, x, to be (
d
1 x2
n)1/2. This norm has the good property that, if
y = (y1, y2, ... , yd) is any other vector in Rd, and |yn|≤|xn| for each n, then
y≤x. In other words, the size of x, as measured by the norm function,
is determined entirely by the sizes of x’s components. This remains true if
we let the dimension d increase to infinity, and define the norm of a vector
(actually, an infinite sequence) x = (x1, x2, ...) to be x ≡ (

∞
1 x2
n)1/2.
In analysis it is often convenient (and indispensable) to decompose functions f into infinite series

Biology
Human biology
Who is the founder of biology?
The importance of biology
Areas of work in the field of biology
Theories of biology
Research on biology for the first grade of secondary school
Human biology