MATH10200705001 Neeldhara Misra - Homi Bhabha National ...
MATH10200705001 Neeldhara Misra - Homi Bhabha National ...
MATH10200705001 Neeldhara Misra - Homi Bhabha National ...
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F P <br />
k j (1)+k j (2)+...+ k j (2 j ) k<br />
(k j (1)+d)+(k j (2)+d)+...+(k j (2 j )+d) k + d(2 j )<br />
(<br />
(kj (1)+d)+(k j (2)+d)+...+(k j (2 j )+d) ) √ log(k + d) (k + d(2 j )) √ (<br />
log(k + d)<br />
∑ ) √log(k<br />
1i2<br />
(k j j (i)+d) + d) (k + d(2 j )) √ log(k + d)<br />
∑<br />
(<br />
∑1i2<br />
(k j j (i)+d) √ )<br />
log(k + d)<br />
(k + d(2 j )) √ log(k + d)<br />
1i2 j (<br />
(kj (i)+d) √ log(k j (i)+d) ) (k + d(2 j )) √ log(k + d),<br />
k j (i) k <br />
λ j (k + d(2 j )) √ log(k + d).<br />
j <br />
(k + d(2 j )) √ log(k + d) <br />
<br />
S(G, S) (G, S) <br />
<br />
∑<br />
1i2<br />
|S(G j j (i),S j (i))| = ∑ 1i2<br />
λ j j +<br />
∑<br />
|S((G<br />
∑ 1i2j j (i)) A ,S j (i) ∩ (G j (i)) A )| +<br />
1i2<br />
|S((G j j (i)) B ,S j (i) ∩ (G j (i)) B )|<br />
(G j (i)) A G j+1 (2i − 1) (G j (i)) B<br />
G j+1 (2i) <br />
(j + 1) <br />
j S ∩ G A <br />
|S(G j (i), ∅)| = 0<br />
<br />
<br />
|S(G 1 (1), (S ∩ G 1 (1)))| + |S(G 1 (2), (S ∩ G 1 (2)))| + λ 0 ,