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20050401
<Math>
A4(MATH)5(d
2
/dx
2
)vMde
+evx+v-gedw
u Quadratic Differential Applications
•Arithmetic operations can be performed using two quadratic differentials.
Therefore:
f ''(a) + g''(a), f ''(a) × g''(a), etc.
• The result of a quadratic differential calculation can be used in a subsequent arithmetic
or function calculation.
2 × f ''(a), log ( f ''(a) ), etc.
• Functions can be used within the terms (f(x), a, tol) of a quadratic differential expression.
2-5-6
Numerical Calculations
d
2
d
2
––– f (a) = f ''(a), ––– g (a) = g''(a)
dx
2
dx
2
d
2
––– (sin x + cos x, sin 0.5, 1E - 8), etc.
dx
2
20070101
# In the Math input mode, the tolerance value is
fixed at 1
E-10 and cannot be changed.
# The rules that apply for linear differential also
apply when using a quadratic differential
calculation for the graph formula (see page 2-
5-2).
# Inaccurate results and errors can be caused
by the following:
- discontinuous points in
x values
- extreme changes in
x values
- inclusion of the local maximum point and
local minimum point in
x values
- inclusion of the inflection point in
x values
- inclusion of undifferentiable points in
x
values
- differential calculation results approaching
zero
#You can interrupt an ongoing quadratic differential
calculation by pressing the A key.
# Always use radians (Rad mode) as the angle unit
when performing trigonometric quadratic
differentials.
# You cannot use a differential, quadratic differen-
tial, integration, Σ, maximum/minimum value,
Solve, RndFix or log ab calculation expression
inside of a quadratic differential calculation term.
# With quadratic differential calculation, calculation
precision is up to five digits for the mantissa.