Life time:
Bill
Adongo was born in Upper East Region, Bolgatanga-Ghana. He
proved to be a most talented scientist, ambitious and industrious. In school,
he was only modestly successful in biology. He one said, “I knew very little in
biology, except only in liberal way”. He is drawn into admiralty research and
distinguished himself in his biological
models. Below is copy of his works.
GENETICS TOWARDS MEAN
It is remarkable, and
quite sad, that whilst modern mathematics really began with exceptional
thorough and pain-taking work of me, no one realised the full significant of my
LEAST WHOLE NORMAL FUNCTION which, I had invented from few years ago. This is
one of the most significant and classical originality of modern mathematics and
sciences. Even though it is a single equation, it is the totality of modern
practical mathematics and sciences. In more general way, the LEAST WHOLE NORMAL
FUNCTION can apply in all practical fields.
One of the areas I am
interested in applying today is variation, inheritance and genetics. Genetics
is the study of heredity that is the transmission of generation to another. The
organism which surrendered, including us human’s show all sorts of
characteristics and our offspring show many of these, too. Like father like
son-popular saying.
One way of estimating
the least whole number of species available at mean height is employing a new
form of analysis called GENETICS TOWARDS MEAN. Due to environmental factor, the
height of species of plants available in a particular locality change toward
normal average from generation to another. Also, due to environmental factor
and interbreeding, same thing applies to animals in general.
DATA
ON THE HEIGHT OF SPECIES OF PLANT
|
Height/cm
|
2
|
3
|
4
|
5
|
6
|
7
|
8
|
9
|
10
|
|
No.
of plants
|
2
|
8
|
17
|
27
|
30
|
27
|
17
|
8
|
2
|
MEAN
AND STANDARD DEVIATION OF SAMPLE OF SPECIES
|
HEIGHT
OF PLANTS(x)
|
FREQUENCY(f)
|
fx
|
DEVIATION
OF x FROM MEAN(d2)
|
d2
|
fd2
|
|
2
3
4
5
6
7
8
9
10
|
2
8
17
27
30
27
17
8
2
|
4
24
68
135
180
189
136
72
20
|
|
|
|
|
|
Σf=138
|
Σfx=828
|
|
|
Σfd2=398
|
Mean(μ)=828/138=6
Standard deviation(s)=√Σfd2/Σf=√398/138=1.7
FITTING
THE LEAST WHOLE NORMAL FUNCTION
α=
μ/[φ-1(γ%)√S2]
α=6/[1.645[√1.72]=2.146
β=Σf/[
φ-1(γ%)√S2]
β=138/[1.645√1.72]=49.347
The least whole normal
function is fitted as:
L(f)=αf-√f-β
L(f)=2.146f-√f-49.347
The species available
towards the mean height is:
√f=[1+√(1+4αβ)]/2α
√f=[1+√(1+4*2.146*49.347)]/2*2.146
√f=5.033
f=25.34
The species available
towards mean height is 25.34
