LIFE TIME:
Bill Adongo was
born in 1983 at Bolgatanga. He is the greatest Actuary of his time, perhaps of
all time. He is not just an Actuary in passing local and professional
examinations but Actuary in problem solving, innovation and creativity. He extends
his mathematical genius to most field of knowledge including medicine. Adongo
discovered the Central Point Law and
Least Whole Normal Function at an
early age and keep diary, recording in this all his mathematical discoveries. Although
this diary is only about 250 pages
long it is one of the most value mathematical documents of all time. Below is
copy of his diary.
HEART AS A PUMP
In previous attempt to explain the practical important of my
LEAST WHOLE NORMAL FUNCTION, a medical student asked me concerning the
practical application of my LEAST WHOLE NORMAL FUNCTION in medical field.
I am writing this to help those who are willing to think and
know the practical important of my LEAST WHOLE NORMAL FUNCTION and not to
jokers. More again, my function is a UNIVERSAL function that applies many field
of knowledge. For example, knowing the heart as a pump and its intrinsic
regulation is an important issue in medical sciences. Nowhere can we predict
the volume of blood pumped and the blood flowing from a heart if only we
measured the heartbeat of a patient at a
given time (=heart rate). The LEAST
WHOLE NORMAL FUNCTION is the possibility of predicting the amount of blood
flowing from a heart (=Cardiac Output)
and the volume of blood pumped (=Stroke
Volume), if only we measured the heart
rate based on each patient.
The sound associated with the values of the heart closing can
be heard by using stethoscope. The stethoscope is the main instrument in
medical field where a patient heartbeat can be measured.
The key importance of projecting the cardiac output and the stroke
volume is to examine heart diseases like hypertension, arteriosclerosis,
rheumatic fever which often leads to rheumatic heart diseases later in life. My
LEAST WHOLE NORMAL FUNCTION is not only important for Cardiologists but also
for psychiatrics (=psychologists).
Below are an experiment conducted by physician and we can
use this data to project the stroke volume and the cardiac output if the heart
rate is 75 per minute.
Time
|
Volume(x)
|
Heart rate(f)
|
0.8
|
50
|
45
|
1.6
|
100
|
89
|
2.4
|
150
|
137
|
MEAN AND STANDARD DEVIATION
TIME
|
VOLUME(x)
|
HEART RATE(f)
|
fx
|
DEVIATION OF THE X FROM MEAN(d)
|
d2
|
fd2
|
|
0.8
|
50
|
45
|
2250
|
-66.974
|
4485.517
|
201848.265
|
|
1.6
|
100
|
89
|
8900
|
-16.974
|
288.117
|
25462.413
|
|
2.4
|
150
|
137
|
120550
|
33.026
|
1090.717
|
149428.229
|
|
∑f=271
|
∑fx=31700
|
∑fd2=376738.907
|
Mean(µ)=∑fx/∑f=
31700/271=116.974
Standard deviation(s)=√∑fd2
/∑f=√(376738.907/271)=37.285
CALCULATING CARDIAC OUTPUT AND STROKE VOLUME
from the data above;
T=µfm
-φ-1(γ%)√(S2fm )
but fm =∑f/n=271/3=90.3333
but fm =∑f/n=271/3=90.3333
T=116.974*90.3333- φ-1(95%)√(37.2852*90.3333)
T=9983.707258
the average Stroke
volume at given heart rate 75
is:
Stroke Volume=1/f[T+
φ-1(γ%)√(S2f)]
Stroke Volume=1/75[9983.707258
+ φ-1(95%)√(37.2852*75)]
Stroke Volume=140.1983169
The Cardiac Output is calculated as:
Cardiac Output=Stroke
Volume*Heart Rate
Cardiac Output=140.1983169*75=10514.87376
Hence, the Cardiac Output and the Stroke Volume of the
patient at given heart rate75, are 10514.87376
and 140.1983169 respectively.
