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HP 50g graphing calculator Manual

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Blz. 3-15
RND(x,y) : rond y af tot x aantal decimalen
TRNC(x,y) : snijd y af tot x aantal decimalen
FLOOR(x) : dichtste hele getal dat kleiner of gelijk is aan x
CEIL(x) : dichtste hele getal dat groter of gelijk is aan x
Ga als oefening het volgende na: RND(1.4567,2) = 1.46, TRNC(1.4567,2) =
1.45, FLOOR(2.3) = 2, CEIL(2,3) = 3
Radialen-naar-graden en graden-naar-radialenfunctie
D
R (x) : zet graden om in radialen
R
D (x) : zet radialen om in graden.
Ga als oefening het volgende na: DR(45) = 0.78539 (d.w.z. 45
o
=
0.78539
rad
), RD(1.5) = 85.943669.. (d.w.z. 1.5
rad
= 85.943669..
o
).
Speciale functies
Optie 11. Special functions in het menu MTH bevat de volgende functies:
GAMMA : de Gamma-functie
Γ(α)
PSI : N-de afgeleide van de digamma functie
Psi : Digamma functie, afgeleide van de ln(Gamma)
De
Gamma-functie wordt als volgt bepaald: . Deze
functie vindt zijn toepassing in toegepaste wiskunde voor fysica en
bouwtechnieken, alsook waarschijnlijkheid en statistiek.
Het factorieel van een getal
Het factorieel van een positief heel getal n wordt gedefinieerd als n!=n
⋅
(n-1)×(n-
2) …3×2×1 met 0! = 1. De factoriële functie wordt geactiveerd met de
toetsencombinatie ~‚2. Zowel in de ALG- als in de RPN-modus moet
eerst het getal ingevoerd worden, gevolgd door ~‚2. Bijvoorbeeld:
5~‚2`.De Gamma-functie, die hierboven beschreven staat,
heeft de volgende eigenschap:
∫
∞
−−
=Γ
0
1
)( dxex
x
α
α
… 145 …


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