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20061001
<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.
d
2
d
2
–––
f
(
a
) =
f ''
(
a
),
–––
g
(
a
) =
g''
(
a
)
dx
2
dx
2
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, 1
E
- 8), etc.
dx
2
d
2
–––
(sin
x
+
cos
x
,
sin
0.5, 1
E
- 8), etc.
dx
2
2-5-6
Numerical Calculations
# 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
differential, 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.
20070101