HP 40gs hp 40gs_user's guide_English_E_HDPMSG40E07A.pdf - Page 249
PA2B2
UPC - 882780045217
View all HP 40gs manuals
Add to My Manuals
Save this manual to your list of manuals |
Page 249 highlights
hp40g+.book Page 67 Friday, December 9, 2005 1:03 AM Typing: 1 X-6) ⋅ a + b⎞ IL A P ⎜ ⎜ ⎜ -X----2---------6---X-----X+----2-9------6---X-----+-----9 ⎝ ⎠ gives: ⎛ ⎝ x---36 - (3a - b) ⋅ x + a⎠⎞ ⋅ e3x LAP See ILAP above. PA2B2 Decomposes a prime integer p congruent to 1 modulo 4, as follows: p = a2 + b2. The calculator gives the result as a + b · i. Example 1 Typing: PA2B2(17) gives: 4 + i that is, 17 = 42 + 12 Example 2 Typing: PA2B2(29) gives: 5 + 2 · i that is, 29 = 52 + 22 PSI Returns the value of the nth derivative of the Digamma function at a. The Digamma function is the derivative of ln(Γ(x)). Example Typing: PSI(3, 1) Computer Algebra System (CAS) 14-67
Computer Algebra System (CAS)
14-67
Typing:
gives:
LAP
See ILAP above.
PA2B2
Decomposes a prime integer
p
congruent to 1 modulo 4,
as follows:
p
=
a
2
+
b
2
.
The calculator gives the result as
a
+
b
· i.
Example 1
Typing:
PA2B2(17)
gives:
4 + i
that is, 17 = 4
2
+ 1
2
Example 2
Typing:
PA2B2(29)
gives:
5 + 2 · i
that is, 29 = 5
2
+ 2
2
PSI
Returns the value of the
n
th derivative of the Digamma
function at
a
.
The Digamma function is the derivative of ln(
Γ
(x)).
Example
Typing:
PSI(3, 1)
ILAP
1
X
2
6
X
–
9
+
----------------------------
X
6
–
(
)
a
b
+
⋅
+
X
2
6
X
–
9
+
------------------------------------------------------------------
⎝
⎠
⎜
⎟
⎜
⎟
⎜
⎟
⎛
⎞
x
3
6
----
3
a
b
–
(
)
–
x
a
+
⋅
⎝
⎠
⎛
⎞
e
3
x
⋅
hp40g+.book
Page 67
Friday, December 9, 2005
1:03 AM