Traduction de "partial sum" à finlandais

Partial sum

• osasummasta
• osittainen summa

Exemples de traduction

osasummasta

Let ( a n ) n = 1 ∞ {\displaystyle (a_{n})_{n=1}^{\infty }} be a sequence, and let s k = a 1 + ⋯ + a k = ∑ n = 1 k a n {\displaystyle s_{k}=a_{1}+\cdots +a_{k}=\sum _{n=1}^{k}a_{n}} be its kth partial sum.
Olkoon {an} sarja ja olkoon s k = a 1 + ⋯ + a k {\displaystyle s_{k}=a_{1}+\cdots +a_{k}} , sarjan ∑ n = 1 ∞ a n . {\displaystyle \sum _{n=1}^{\infty }a_{n}.} k:s osasumma.

The sequence (an) is called Cesàro summable, with Cesàro sum A ∈ ℝ, if, as n tends to infinity, the arithmetic mean of its first n partial sums s1, s2, ..., sn tends to A: lim n → ∞ 1 n ∑ k = 1 n s k = A . {\displaystyle \lim _{n\to \infty }{\frac {1}{n}}\sum _{k=1}^{n}s_{k}=A.} The value of the resulting limit is called the Cesàro sum of the series ∑ n = 1 ∞ a n . {\displaystyle \textstyle \sum _{n=1}^{\infty }a_{n}.} If this series is (conditionally) convergent, then it is Cesàro summable and its Cesàro sum is the usual sum.
Sarjaa {an} kutsutaan Cesàro-summautuvaksi, jos Cesàron summa A ∈ R {\displaystyle A\in \mathbb {R} } , jos sen keskiarvo osasummista s k {\displaystyle s_{k}} lähenee A {\displaystyle A} :ta: lim n → ∞ 1 n ∑ k = 1 n s k = A . {\displaystyle \lim _{n\to \infty }{\frac {1}{n}}\sum _{k=1}^{n}s_{k}=A.} Toisin sanoen siis äärettömän sarjan Cesàro-summa on sarjan ensimmäisten osasummien 1, ..., n aritmeettisen keskiarvon raja-arvo, kun n lähestyy ääretöntä.

osittainen summa

Ramanujan's own work on partial sums and products of hypergeometric series have led to major development in the topic.
Ramanujan oman työn osittainen summia ja tuotteet Hypergeometrinen sarja on johtanut merkittäviin kehitys aiheesta.