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Рубрика:
177
‚Ó„ÌÛÚ˚Â: 54. ÇÓ„ÌÛÚÓÈ
̇Á˚‚‡ÂÚÒfl ÙÛÌ͈Ëfl, ‰Îfl
ÍÓÚÓðÓÈ ÔðË α + β = 1 ‚ÂðÌÓ
ÌÂð‡‚ÂÌÒÚ‚Ó
f(αx
1
+βx
2
) - αf(x
1
)+βf(x
2
) ‰Îfl
β·˚ı x
1
, x
2
, α > 0, β > 0
ÔÓÎÓÊËÚÂθÌÓ Ó‰ÌÓðÓ‰Ì˚Â
ÔÂð‚ÓÈ ÒÚÂÔÂÌË: 143
îÛÌ͈ËË Ôð‰ÎÓÊÂÌËfl
‚ËðÚۇθÌ˚Â: 106
ËÁ·˚ÚÓ˜ÌÓ„Ó: 97, 109
Ë̉˂ˉۇθÌ˚Â: 96, 99
ÒÓ‚ÓÍÛÔÌÓ„Ó: 97, 99, 101
îÛÌ͈ËË ÔðË·˚ÎË: 96, 99
îÛÌ͈ËË ÒÓ‚ÓÍÛÔÌÓ„Ó
ËÁ·˚ÚÓ˜ÌÓ„Ó Ôð‰ÎÓÊÂÌËfl: ÒÏ.
îÛÌ͈ËË Ôð‰ÎÓÊÂÌËfl
îÛÌ͈ËË ÒÓ‚ÓÍÛÔÌÓ„Ó
Ôð‰ÎÓÊÂÌËfl: ÒÏ. îÛÌ͈ËË
Ôð‰ÎÓÊÂÌËfl
îÛÌ͈ËË ÒÓ‚ÓÍÛÔÌÓ„Ó ÒÔðÓÒ‡:
ÒÏ. îÛÌ͈ËË ÒÔðÓÒ‡
îÛÌ͈ËË ÒÔðÓÒ‡
‚ËðÚۇθÌ˚Â: 106
Ë̉˂ˉۇθÌ˚Â: 96
ÒÓ‚ÓÍÛÔÌÓ„Ó: 97, 99, 101
îÛÌ͈Ëfl ㇄ð‡Ìʇ: 26
‚Á‡ËÏÌÓÈ Á‡‰‡˜Ë: 29
Ò‰ÎÓ‚‡fl ÚӘ͇: 26
îÛÌ͈Ëfl Ôð‰ÔÓ˜ÚÂÌËfl: 22
‚ÏÂÌfiÌ̇fl: ÒÏ. èð‰ÔÓ˜ÚÂÌËfl;
îÛÌ͈Ëfl Ôð‰ÔÓ˜ÚÂÌËfl: Ó·˘‡fl
Ë̉˂ˉۇθ̇fl: 66, 70
Ó·˘‡fl: 66, 69
ÒËÌÚÂÁ: 69
ñÂ΂ÓÈ ðÂÒÛðÒ: 23, 25
ñÂÌÌÓÒÚ¸: 7
ñÂÌ˚: 86, 124
‡„ð„ËðÓ‚‡ÌÌ˚Â: 165
ÌÓðχÚË‚Ì˚Â: 165
ÓÔÚËχθÌ˚Â: 68
Ôð‰ÎÓÊÂÌËfl: 165
ð‡‚ÌÓ‚ÂÒÌ˚Â: 6, 83, 84, 96
ð‡Ò˜fiÚÌ˚Â: 165
ð„ÛÎËðÓ‚‡ÌËÂ: 164
ð˚ÌÓ˜Ì˚Â: 7
ÒÔðÓÒ‡: 165
óËÒÚ‡fl ÔðÓ‰Û͈Ëfl: 126
ùÍÓÌÓÏË͇
‰ÂˆÂÌÚð‡ÎËÁÓ‚‡Ì̇fl: 85
ÍÓÌÍÛðÂÌÚ̇fl: 85
ùÍÓÌÓÏ˘ÂÒÍË ·Î‡„‡: ÒÏ. Å·„‡
ùÍÒÚÂð̇ÎËË: 54, 90
ùððÓÛ ä.: 11, 83
ùÙÙÂÍÚË‚ÌÓÒÚ¸: 25, 34, 67, 132,
153, 159, 161
‚Ó„ÌÛÚ˚Â: 54. ÇÓ„ÌÛÚÓÈ ‚ÏÂÌfiÌ̇fl: ÒÏ. èð‰ÔÓ˜ÚÂÌËfl; ̇Á˚‚‡ÂÚÒfl ÙÛÌ͈Ëfl, ‰Îfl îÛÌ͈Ëfl Ôð‰ÔÓ˜ÚÂÌËfl: Ó·˘‡fl ÍÓÚÓðÓÈ ÔðË α + β = 1 ‚ÂðÌÓ Ë̉˂ˉۇθ̇fl: 66, 70 ÌÂð‡‚ÂÌÒÚ‚Ó Ó·˘‡fl: 66, 69 f(αx1+βx2) - αf(x1)+βf(x2) ‰Îfl ÒËÌÚÂÁ: 69 β·˚ı x1, x2, α > 0, β > 0 ñÂ΂ÓÈ ðÂÒÛðÒ: 23, 25 ÔÓÎÓÊËÚÂθÌÓ Ó‰ÌÓðÓ‰Ì˚ ÔÂð‚ÓÈ ÒÚÂÔÂÌË: 143 ñÂÌÌÓÒÚ¸: 7 îÛÌ͈ËË Ôð‰ÎÓÊÂÌËfl ñÂÌ˚: 86, 124 ‚ËðÚۇθÌ˚Â: 106 ‡„ð„ËðÓ‚‡ÌÌ˚Â: 165 ËÁ·˚ÚÓ˜ÌÓ„Ó: 97, 109 ÌÓðχÚË‚Ì˚Â: 165 Ë̉˂ˉۇθÌ˚Â: 96, 99 ÓÔÚËχθÌ˚Â: 68 ÒÓ‚ÓÍÛÔÌÓ„Ó: 97, 99, 101 Ôð‰ÎÓÊÂÌËfl: 165 ð‡‚ÌÓ‚ÂÒÌ˚Â: 6, 83, 84, 96 îÛÌ͈ËË ÔðË·˚ÎË: 96, 99 ð‡Ò˜fiÚÌ˚Â: 165 îÛÌ͈ËË ÒÓ‚ÓÍÛÔÌÓ„Ó ð„ÛÎËðÓ‚‡ÌËÂ: 164 ËÁ·˚ÚÓ˜ÌÓ„Ó Ôð‰ÎÓÊÂÌËfl: ÒÏ. ð˚ÌÓ˜Ì˚Â: 7 îÛÌ͈ËË Ôð‰ÎÓÊÂÌËfl ÒÔðÓÒ‡: 165 îÛÌ͈ËË ÒÓ‚ÓÍÛÔÌÓ„Ó Ôð‰ÎÓÊÂÌËfl: ÒÏ. îÛÌ͈ËË óËÒÚ‡fl ÔðÓ‰Û͈Ëfl: 126 Ôð‰ÎÓÊÂÌËfl îÛÌ͈ËË ÒÓ‚ÓÍÛÔÌÓ„Ó ÒÔðÓÒ‡: ùÍÓÌÓÏË͇ ÒÏ. îÛÌ͈ËË ÒÔðÓÒ‡ ‰ÂˆÂÌÚð‡ÎËÁÓ‚‡Ì̇fl: 85 îÛÌ͈ËË ÒÔðÓÒ‡ ÍÓÌÍÛðÂÌÚ̇fl: 85 ‚ËðÚۇθÌ˚Â: 106 ùÍÓÌÓÏ˘ÂÒÍË ·Î‡„‡: ÒÏ. Å·„‡ Ë̉˂ˉۇθÌ˚Â: 96 ùÍÒÚÂð̇ÎËË: 54, 90 ÒÓ‚ÓÍÛÔÌÓ„Ó: 97, 99, 101 ùððÓÛ ä.: 11, 83 îÛÌ͈Ëfl ㇄ð‡Ìʇ: 26 ùÙÙÂÍÚË‚ÌÓÒÚ¸: 25, 34, 67, 132, ‚Á‡ËÏÌÓÈ Á‡‰‡˜Ë: 29 153, 159, 161 Ò‰ÎÓ‚‡fl ÚӘ͇: 26 îÛÌ͈Ëfl Ôð‰ÔÓ˜ÚÂÌËfl: 22 177