... societal needs and applied and basic
science. The presence of these feedbacks illustrates the dependence of
one type of scientific endeavor on the other.
The committee suggests that the importance ... of the National
Academy of Engineering.
The Institute of Medicine was established in 1970 by the National Academy of
Sciences to secure the services of eminent members o...
... is designed for the
automatic treatment of large datasets with global coverage, and has already been applied to a well-established
dataset (Peterson and Easterling, 19 94; Easterling and Peterson, ... anomalies. The six climate variables represented in the station database are shown. The percentage given is of area
rather than grid boxes. The mean of 12 monthly percentages is calculat...
... between 13- 24 weeks of age
(mean 15 weeks) while 2 ( 4. 08%) patient are in between
25 -36 weeks of age (mean 34 weeks). At the commence-
ment of treatment, of the 18 bilateral clubfeet patients
(36 ... unilateralism of the relapse foot,
relapse foot deformity, treatment offered to relapsed
foot, immediate results of the offered treatment accessed
by Pirani Severity Score, an...
... v
n
t
,
3. 6
for any t ∈ Ω and n 0, 1, 2, 3,
Remark 3. 8. The existence of x
n
and y
n
is guaranteed by Lemmas 3. 4 and 3. 5.
4. Existence and Convergence
Theorem 4. 1. Let X
1
and X
2
be two separable ... Journal of Inequalities and Applications
equilibrium, and linear or nonlinear programming etcetera, variational inequality and its
generalizations have been extensive...
... form of x–
Enter the value of x1 – 5
Enter the value of x2 – 7
Enter the value of x3 – 11
Enter the value of x4 – 13
Enter the value of x5 – 17
Enter the value in the form of y–
Enter the value of ... – 39 2
Enter the value of y3 – 145 2
Enter the value of y4 – 236 6
Enter the value of y5 – 5202
Enter the value of x for
Which you want the value of y – 9.0
When x =...
... 100
200
2
r
A
A
rr
r
=
1
0.25.
4
=
Example 31 . The error in the measurement of the area of a circle is not allowed to exceed 0.1%. How
accurately should the diameter be measured?
Sol. Let d is the diameter ... 0.1
0.05
42
d
dd
·
Example 32 . In a ∆ABC, b = 9.5 cm, c = 8.5 cm and A = 45
o
, find allowable errors in b, c, and
A such that the area of ∆ABC may be determi...
... 3. 46 41
Since, x
2
= x
3
up to four decimal places. So we have
1
2
= 3. 46 41.
72
COMPUTER BASED NUMERICAL AND STATISTICAL TECHNIQUES
=
()
()
10
0. 43 4 3 2.8 133 1.2
2 .41 28
log 2.8 133 0. 43 4 3 0.8 835
+
=
+
or ... 66
COMPUTER BASED NUMERICAL AND STATISTICAL TECHNIQUES
Putting i = 2 in (1) x
3
= 0.02 43 9
Therefore reciprocal of 41 is 0.0 244 .
Example 8. Find the square...
... (12) = 35 , u(16) = 40 [Ans. 33 .1162109]
192
COMPUTER BASED NUMERICAL AND STATISTICAL TECHNIQUES
5. Apply Gauss forward formula to find a polynomial of degree three which takes the values
of y as ... formula to find the value of f(x) at x = 3. 75 from the table:
()
2.5 3. 0 3. 5 4. 0 4. 5 5.0
24. 145 22.0 43 20.225 18. 644 17.262 16. 047
x
fx
[Ans. 19 .40 742 6]
3. Apply...