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補足プリント0:ギリシア文字、総和記号Σ - 南山大学

補足プリント0:ギリシア文字、総和記号Σ - 南山大学

補足プリント0:ギリシア文字、総和記号Σ - 南山大学

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Σ<br />

<br />

25 4 14 <br />

1 <br />

<br />

α A alpha<br />

β B beta<br />

γ Γ gamma<br />

ϵ epsilon ε<br />

Z ζ zeta<br />

H η eta<br />

Θ θ theta ϑ<br />

I ι iota<br />

K κ kappa<br />

Λ λ lambda<br />

M µ mu<br />

N ν nu<br />

Ξ ξ xi<br />

O o omicron <br />

Π π pi<br />

P ρ rho ϱ<br />

Σ σ sigma ς<br />

T τ tau<br />

Υ υ upsilon<br />

Φ ϕ phi φ<br />

X χ chi<br />

Φ pshi pshi<br />

Ω ω omega<br />

1


2 Σ<br />

x 1 , x 2 , . . . , x n <br />

n∑<br />

x i = x 1 + x 2 + · · · + x n<br />

i=1<br />

✓<br />

<br />

✏<br />

<br />

(1)<br />

(2)<br />

(3)<br />

n∑<br />

ax i = a<br />

i=1<br />

n∑<br />

i=1<br />

n∑<br />

(x i + y i ) =<br />

i=1<br />

n∑<br />

a = na<br />

i=1<br />

x i<br />

n∑<br />

x i +<br />

n∑<br />

i=1 i=1<br />

y i<br />

n∑<br />

n∑ n∑<br />

(ax i + by i + c) = a x i + b y i + nc<br />

i=1<br />

i=1 i=1<br />

<br />

✒<br />

<br />

✑<br />

(1)<br />

n∑<br />

ax i = ax 1 + ax 2 + · · · + ax n<br />

i=1<br />

= a(x 1 + x 2 + · · · + x n )<br />

n∑<br />

= a x i .<br />

i=1<br />

(2)<br />

n∑<br />

(x i + y i ) = (x 1 + y 1 ) + (x 2 + y 2 ) + · · · + (x n + y n )<br />

i=1<br />

n∑ n∑<br />

= (x 1 + · · · + x n ) + (y 1 + · · · + y n ) = x i + y i .<br />

i=1 i=1<br />

(3)<br />

n<br />

n∑ { }} {<br />

a = a + a + · · · + a = a<br />

i=1<br />

n∑<br />

1 = na.<br />

i=1<br />

2

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