ᑕᓚᒻᐱᐅᕐ ᐸᕐᓇᐅᑎ ᕉᓚᑦᒥ
ᑕᓚᒻᐱᐅᕐ ᐸᕐᓇᐅᑎ ᕉᓚᑦᒥ ᐊᓯᐅᔾᔨᓂᐅᑉ ᑭᖑᐊᓂ ᐊᑕᐅᓯᕐᒥᒃ ᐊᑦᔨᐅᑎᒥᒃ ᐃᓚᔨᔪᖅ, ᐊᔪᒐᕐᓂᐅᑉ ᑭᖑᐊᓂ ᐊᑕᐅᓯᕐᒥᒃ ᐲᖅᓯᔪᖅ.
ᐊᒃᓴᓗᐊᕐᒥᒃ ᐊᔪᖅᑎᑦᓯᙱᑦᑐᖅ. ᐊᑐᖅᑕᐅᒐᔪᒃᑐᓂ ᐊᓯᑦᑐᖅᐸᓪᓕᐊᓂᕐᓂᐸᕐᓇᐅᑎᐊᓯᑦᑐᖅᐸᓪᓕᐊᓂᖅᒪᓕᒐᖅ ᓇᓕᐊᑐᐃᓐᓇᖅ ᐱᙳᐊᕈᑎ ᑮᓇᐅᔭᖓᓂᒃ ᐊᓂᒍᖅᓯᒪᔪᑦ ᐱᓐᓂᖏᑦ ᒪᓕᒡᓗᒋᑦ ᐊᓯᑦᑐᐃᔪᖅ. ᐊᑲᐅᙱᑦᑐᑦ ᐊᓯᑦᑐᖅᐸᓪᓕᐊᓂᐅᔪᑦ ᐊᓯᐅᔾᔨᓂᖅ ᑭᖑᓂᖓᓂ ᖁᕝᕙᑦᑎᔪᑦ, ᐱᐅᔪᑦ ᐊᔪᒐᕐᓂᖅ ᑭᖑᓂᖓᓂ.ᐃᓘᓐᓇᖓ ᐅᖃᓕᒫᕐᓗᒍ → ᓱᒃᑲᐃᓛᖑᔪᖅ: ᐱᙳᐊᕈᑎ ᑮᓇᐅᔭᖏᑦ ᓱᒃᑲᐃᑦᑐᒥᒃ ᖁᕝᕙᓯᒃᐸᓪᓕᐊᔪᑦ, ᐱᙳᐊᕈᑎᒃᓴᐃᑦ ᒥᑭᓕᕐᓂᖏᑦ ᐊᑯᓐᓂᑦᑐᑦ, ᑳᓯᓅᑉ ᐃᓚᖓᓗ ᐊᓯᑦᑐᖅᓯᒪᙱᑦᑐᖅ.
ᐸᕐᓇᐅᑎ ᒪᓕᓪᓗᒍ
ᐊᓯᐅᔾᔨᓂᖅ ᖁᒻᒧᑦ ᐊᑕᐅᓯᕐᒥᒃ ᓯᕗᒧᐊᖅᑎᑦᓯᔪᖅ. ᐊᔪᒐᕐᓂᖅ ᐊᑕᐅᓯᕐᒥᒃ ᐅᑎᖅᑎᑦᓯᔪᖅ.
ᐱᙳᐊᕈᑏᑦ ᑮᓇᐅᔭᖏᑦ ᐃᓱᓕᓐᓂᖏᓪᓗ ᐱᒋᐊᕈᑎ ᐱᙳᐊᕈᑎᐅᑉ ᐊᑦᔨᐅᑎᖏᓐᓂ.
ᑕᓚᒻᐱᐅᕐ ᐸᕐᓇᐅᑎ ᕉᓚᑦᒥ, ᐱᓕᕆᐊᖅ ᑐᓪᓕᖅᑐᑦ
ᐊᑕᐅᓯᕐᒥᒃ ᐊᑦᔨᐅᑎᒥᒃᑮᓇᐅᔭᖅᐊᑦᔨᐅᑎᐸᕐᓇᐅᑎᐅᑉ ᐅᕝᕙᓘᓐᓃᑦ ᐱᙳᐊᖅᑎᐅᑉ ᑐᙵᕕᒋᔭᖓ ᐱᙳᐊᕈᑎ ᑮᓇᐅᔭᖓ. ᐊᓯᑦᑐᖅᐸᓪᓕᐊᓂᐅᔪᑦ ᐊᑦᔨᐅᑎᓄᑦ ᓇᓗᓇᐃᖅᑕᐅᕙᒃᑐᑦ, ᑕᐃᒪ ᓇᓕᐊᓂᑐᐃᓐᓇᖅ ᐱᙳᐊᕐᕕᒻᒥ ᐊᑐᕈᓐᓇᖁᓪᓗᒋᑦ.ᐃᓘᓐᓇᖓ ᐅᖃᓕᒫᕐᓗᒍ → ᐱᙳᐊᕈᑎᓕᐅᕐᓗᑎᑦ. ᐊᓯᐅᔾᔨᒃᐸᑦ, ᑐᓪᓕᖓ ᐱᙳᐊᕈᑎ ᐊᑕᐅᓯᕐᒥᒃ ᐊᑦᔨᐅᑎᒥᒃ ᐊᖏᓂᖅᓴᐅᔪᖅ. ᐊᔪᒐᒃᐸᑦ, ᐊᑕᐅᓯᕐᒥᒃ ᐊᑦᔨᐅᑎᒥᒃ ᒥᑭᓂᖅᓴᐅᔪᖅ, ᐊᑕᐅᓯᕐᒥᑦ ᒥᑭᓐᓂᖅᓴᐅᓂᐊᙱᑦᑐᖅ. ᑕᒪᓐᓇ ᑕᒪᐃᓐᓂᒃ. ᓄᓪᓗᐊᕐᓂᖅ ᐃᓱᒪᒋᓗᒍ: ᐊᓯᐅᔾᔨᓂᖅ ᑕᒪᕐᒥᒃ ᐱᙳᐊᕈᑎ ᑮᓇᐅᔭᖓᓂᒃ ᐊᑕᐅᓯᕐᒥᒃ ᖁᒻᒧᐊᖅᑎᑦᓯᔪᖅ, ᐊᔪᒐᕐᓂᖅ ᑕᒪᕐᒥᒃ ᐅᑎᖅᑎᑦᓯᔪᖅ. ᐃᓱᒪᒋᔭᐅᔪᖅ ᐊᑖᓂ ᐅᓇᐅᔪᖅ: ᐊᔪᒐᕐᓃᑦ ᐊᓯᐅᔾᔨᓃᓪᓗ ᐊᔾᔨᒌᓕᓂᐊᖅᑐᑦ, ᑕᐃᒪᓐᓇᐃᑦᑐᖅ ᐱᙳᐊᕈᑎ ᑮᓇᐅᔭᖓ ᐱᒋᐊᕐᓂᖓᓄᑦ ᐅᑎᕐᓂᐊᖅᑐᖅ. ᐱᔪᒪᓇᕐᓂᖓ ᐅᓇᐅᔪᖅ: ᐊᑕᐅᓯᖅ ᐊᔪᒐᕐᓂᖅ ᐊᑕᐅᓯᕐᓗ ᐊᓯᐅᔾᔨᓂᖅ ᓴᓂᐊᓃᑦᑐᓂ ᐱᙳᐊᕈᑎ ᑮᓇᐅᔭᖏᓐᓂ +1 ᐊᑦᔨᐅᑎᒥᒃ ᐱᔪᒃ: 3 ᐊᓯᐅᔾᔨᓗᒍ, 4 ᐊᔪᒐᕐᓗᒍ, ᓱᓕᓪᓚᕆᒃᑐᖅ +1.
ᐱᙳᐊᖅᑕᐅᓂᖓ ᖃᓄᐃᓕᖓᕙ?
ᓱᒃᑲᐃᑦᑐᖅ, ᐱᙳᐊᕈᑎ ᑮᓇᐅᔭᖓ ᖁᒻᒧᑦ ᓱᒃᑲᐃᑦᑐᒥᒃ ᐊᐅᓪᓚᖅᓗᓂ. ᐊᔾᔨᒌᒃᑐᒥᒃ ᐊᑭᓕᐅᑎᓕᒃ ᐱᙳᐊᕈᑎᓂ ᐊᓯᐅᔾᔨᓃᑦ ᐊᔪᒐᕐᓂᕐᓂᑦ ᐊᒥᓱᓂᖅᓴᐅᒻᒪᑕ 19, 18-ᒧᑦ, ᐱᙳᐊᕈᑎ ᑮᓇᐅᔭᖓ ᖁᒻᒧᐊᖅᐸᓪᓕᐊᔪᖅ ᐱᙳᐊᖅᑕᐅᓂᖓ ᐊᑯᓂᐅᒃᐸᑦ. ᐱᙳᐊᕈᑎ ᑮᓇᐅᔭᖓ ᐊᓯᐅᔾᔨᑎᓪᓗᒋᑦ ᐊᖏᓛᖑᒻᒪᑦ, ᐊᔪᒐᖅᑎᓪᓗᒋᓪᓗ ᒥᑭᓂᖅᓴᐅᓪᓗᓂ, ᐊᓯᐅᔾᔨᓃᑦ ᐊᑯᓂᐅᓂᖏᓐᓂ ᐊᔾᔨᒌᒃᑎᑕᐅᔪᖅ ᐱᙳᐊᕈᑎ ᑮᓇᐅᔭᖓ ᐊᔪᒐᕐᓃᑦ ᐊᑯᓂᐅᓂᖏᓐᓂᑦ ᐊᖏᓂᖅᓴᐅᔪᖅ. ᐱᙳᐊᖅᑕᐅᓂᖏᑦ ᒫᑎᓐᒐᐃᓪᒥᑦᐸᕐᓇᐅᑎᒫᑎᓐᒐᐃᓪᐊᓯᑦᑐᖅᐸᓪᓕᐊᓂᖅ ᐊᓯᐅᔾᔨᓂᖅ ᑕᒪᐃᓐᓂ ᐱᙳᐊᕈᑎ ᒪᕐᕉᕆᐊᖅᑐᖅ. ᐸᕐᓇᐅᑏᑦ ᐃᓚᖓᓂ ᑕᑯᓗᒍ ᖃᓄᐃᓕᐅᕐᓂᖓ ᖃᓄᐃᓕᐅᙱᓐᓂᖓᓗ.ᐃᓘᓐᓇᖓ ᐅᖃᓕᒫᕐᓗᒍ → ᓴᐃᒻᒪᓂᖅᓴᐅᔪᑦ, ᐱᙳᐊᕈᑎᒃᓴᐃᑦ ᒥᑭᓕᕐᓂᖏᑦᑮᓇᐅᔭᖅᐱᙳᐊᕈᑎᒃᓴᐃᑦ ᒥᑭᓕᕐᓂᖏᑦᐱᙳᐊᖅᑕᐅᓂᖓᓂ ᐱᙳᐊᕈᑎᒃᓴᐃᑦ ᖁᓛᓪᓚᕆᖓᓂᑦ ᑭᖑᓂᐊᓂ ᐊᑖᓪᓚᕆᖓᓄᑦ ᐊᑦᑎᕐᓂᖏᑦ. ᐊᖏᓛᖅ ᒥᑭᓕᕐᓂᖅ ᑕᐃᒪᐃᓐᓂᖅ ᐊᖏᓛᖅ.ᐃᓘᓐᓇᖓ ᐅᖃᓕᒫᕐᓗᒍ → ᐊᑯᓐᓂᑦᑐᑦ, ᐊᓪᓚᕐᓂᖃᙱᑦᑐᑦ, ᐊᒻᒪ ᐊᔾᔨᒌᒃᑎᓪᓗᒋᑦ ᐊᔾᔨᒌᒃᑐᓂᒃ ᐱᙳᐊᕈᑎᓕᐅᕐᓂᕐᒥᑦᐸᕐᓇᐅᑎᐊᔾᔨᒌᒃᑐᓂᒃ ᐱᙳᐊᕈᑎᓕᐅᕐᓂᖅᑲᐃᕙᕐᓂᖅ ᑕᒪᐃᓐᓂ ᐊᔾᔨᒌᒃᑐᒥᒃ ᐱᙳᐊᕈᑎᓕᐅᕐᓂᖅ. ᐊᓯᑦᑐᖅᐸᓪᓕᐊᓂᖅ ᑕᒪᐃᑦ ᑕᒪᑐᒧᖓ ᐊᔾᔨᒌᒃᓯᔭᐅᕙᒃᑐᑦ.ᐃᓘᓐᓇᖓ ᐅᖃᓕᒫᕐᓗᒍ → ᐊᓯᐅᔾᔨᓂᖅᓴᐅᔪᑦ ᒥᑭᓐᓂᖅ, ᐊᔾᔨᒌᒃᑎᑕᐅᔪᖅ ᐱᙳᐊᕈᑎ ᑮᓇᐅᔭᖓ ᐊᖏᓂᖅᓴᐅᒻᒪᑦ.
- p10 −$500
- p25 −$500
- ᐊᑯᓐᓂᐊᓃᑦᑐᖅ −$500
- p75 −$500
- p90 −$500
ᑕᓚᒻᐱᐅᕐ ᐸᕐᓇᐅᑎ ᐊᐅᓚᑦᑎᕙ?
ᐊᐅᓚᑦᑎᙱᑦᑐᖅ. ᐊᔾᔨᒌᒃᑐᖅ ᐱᙳᐊᖅᑕᐅᓂᖓ ᐊᔪᒐᖅᑐᖅ, ᐱᙳᐊᖅᑕᐅᓂᖏᓪᓗ ᐊᔾᔨᒌᐃᓐᓇᙱᑦᑐᑦ. w ᐊᔪᒐᕐᓃᑦ l ᐊᓯᐅᔾᔨᓃᓪᓗ ᓴᓂᐊᓃᑦᑐᓂ ᐱᙳᐊᕈᑎ ᑮᓇᐅᔭᖏᓐᓂ ᑭᖑᐊᓂ, ᓱᓕᓪᓚᕆᒃᑐᖅ ᐃᓱᓕᑦᑎᓂᖓ w − l ᐊᑦᔨᐅᑏᑦ, ᑐᖕᒥᕋᓂ ᓇᓂ ᐃᓂᖃᓚᐅᕐᓂᓐᓄᑦ ᓈᒻᒪᑦᑎᐊᕈᑎᓕᒃ. w = l-ᒃᐸᑦ ᐃᓱᓕᑦᑎᓂᖓ +w ᐊᑦᔨᐅᑏᑦ, ᑕᐃᒪ ᑮᓇᐅᔭᒃᓴᕐᓂᖅ ᐊᑦᑕᓇᙱᑦᑐᑎᑐᑦ ᑕᑯᓐᓇᖅᑐᖅ. ᐱᑦᔪᑎᒋᔭᐅᔪᖅ ᐅᓇᐅᔪᖅ: w = l ᓂᕆᐅᒋᔭᐅᙱᑦᑐᖅ: 37 ᑲᐃᕙᕐᓂᓂ 18 ᐊᔪᒐᕐᓃᑦ 19-ᓗ ᐊᓯᐅᔾᔨᓃᑦ ᓂᕆᐅᒋᔭᐅᔪᑦ. ᐊᑕᐅᓯᖅ ᐃᓚᒋᐊᖅᑕᐅᔪᖅ ᐊᓯᐅᔾᔨᓂᖅ ᐱᙳᐊᕈᑎ ᑮᓇᐅᔭᖓ ᖁᕝᕙᓯᒃᑎᓪᓗᒍ, ᐊᔾᔨᖓ 8 ᐊᑦᔨᐅᑏᑦ, ᐊᑭᓂᖅᓴᐅᔪᖅ ᐊᕐᕕᓂᓖᑦ ᒪᕐᕉᓂᑦ +1 ᑲᑐᔾᔨᓂᕐᓂᑦ. ᓂᕆᐅᒋᔭᐅᔪᖅ −1/37-ᖑᔪᖅ ᑲᑎᑕᐅᔪᓂ ᐱᙳᐊᕈᑏᑦ ᑲᑎᑕᐅᓂᖏᓐᓂᑮᓇᐅᔭᖅᐱᙳᐊᕈᑏᑦ ᑲᑎᑕᐅᓂᖏᑦᐱᙳᐊᖅᑕᐅᓂᖓᓂ ᐅᕝᕙᓘᓐᓃᑦ ᐱᕕᒃᓴᕐᒥ ᐱᙳᐊᕈᑎᒋᔭᐅᔪᑦ ᑲᑎᓪᓗᒋᑦ, ᐊᔪᒐᐅᑎᑦ ᐱᙳᐊᕈᑎᒋᖃᑦᑕᖅᑕᐅᔪᑦ ᐃᓚᓗᒋᑦ. ᐊᓯᐊᓂ ᐊᑎᖏᑦ: ᕼᐋᓐᑐᓪ, ᐋᒃᓴᓐ.ᐃᓘᓐᓇᖓ ᐅᖃᓕᒫᕐᓗᒍ →, ᑕᐃᒪᐃᑦᑐᖃᕆᐊᖃᕐᒪᑦ.
ᓱᒻᒪᑦ ᓇᐃᑦᑐᑦ ᐱᙳᐊᖅᑕᐅᓂᖏᑦ ᐊᔪᒐᒐᔪᒃᐸᑦ?
ᐊᔾᔨᒌᒃᑐᖅ ᐱᙳᐊᖅᑕᐅᓂᖓ ᐃᓚᐅᔪᖅ ᐊᑕᐅᓯᕐᒥ ᒪᓕᒐᕐᒥ ᐱᙳᐊᖅᑕᐅᓂᖏᓐᓄᑦ ᑕᒪᐃᓐᓄᑦ. D ᐊᓯᐅᔾᔨᓃᑦ ᐊᒥᓲᓂᖏᑦ ᐊᔪᒐᕐᓃᑦ ᐊᒥᓲᓂᖏᓐᓂᒃ ᐲᖅᓯᓪᓗᒋᑦ. N ᑲᐃᕙᕐᓂᓕᒃ ᐱᙳᐊᖅᑕᐅᓂᖓ ᐊᑕᐅᓯᕐᒥᒃ ᐊᑦᔨᐅᑎᒥᑦ ᐱᒋᐊᖅᑐᖅ (N − D²)/2 − D ᐊᑦᔨᐅᑎᓂᒃ ᐃᓱᓕᑦᑐᖅ, ᐊᑕᐅᓯᖅ ᐊᑦᔨᐅᑎᓕᒃ ᐱᙳᐊᕈᑎ ᐊᔪᒐᙱᑉᐸᑦ (ᑕᐃᒪᐃᑦᑐᒥᒃ ᐊᔪᒐᕐᓂᐅᑉ ᑭᖑᐊᓂ ᐱᙳᐊᕈᑎ ᑮᓇᐅᔭᖓ ᒥᑭᓐᓂᖅᓴᐅᔪᓐᓇᙱᑦᑐᖅ). D = 0-ᒃᐸᑦ +N/2-ᖑᔪᖅ, ᖁᓛᓂ ᐃᓚᖓᓂ +w. ᐃᓚᒋᐊᖅᑕᐅᔪᖅ ᐊᓯᐅᔾᔨᓂᖅ ᑕᒪᕐᒥᒃ ᓇᒻᒥᓂᖅ ᐊᒥᓲᓂᖓᓂᒃ ᐊᒥᓱᐃᓕᖅᑕᐅᔪᖅ: 100 ᑲᐃᕙᕐᓃᑦ ᑭᖑᐊᓂ D 4-ᖑᒃᐸᑦ +38 ᐊᑦᔨᐅᑏᑦ ᐱᑕᖃᖅᑐᑦ, D 8-ᖑᒃᐸᑦ +10, D 10-ᖑᒃᐸᓪᓗ −10. ᐱᔪᓐᓇᕐᓂᖅ ᓇᒻᒥᓂᖅ D-ᒥᒃ ᐊᕕᒃᓯᔪᖅ √N ᖃᓂᒋᔭᖓᓂ, 100 ᑲᐃᕙᕐᓃᑦ ᑭᖑᐊᓂ ᖁᓕᑦ, ᐊᒻᒪ ᓯᕉᐊᒃᓴᓗᐊᖅᓯᕉᐊᑕᐅᓯᖅ ᐅᔾᔪᐊᕌᔭᒃ ᐃᓂ ᐊᔾᔨᒌᒃᑐᒥᒃ ᐊᑭᓕᐅᑎᓕᖕᓄᑦ, ᑕᓴᓐᓄᑦ ᓇᑉᐸᖅᑐᓄᓪᓘᓐᓃᑦ ᐱᙳᐊᕈᑏᑦ ᐃᓚᐅᑎᙱᑕᖓ; ᑳᓯᓅᑉ ᐃᓚᖓᑕ ᐱᓇᓪᓗᑎᖓ. ᐊᓯᐊᓂ ᐊᑎᖏᑦ: ᐊᑕᐅᓯᖅ ᓯᕉ, 0.ᐃᓘᓐᓇᖓ ᐅᖃᓕᒫᕐᓗᒍ → ᐱᑕᖃᙱᑦᑐᒥ ᐱᙳᐊᕐᓂᕐᒥ ᐊᔾᔨᒌᒃᑐᑦ ᐱᙳᐊᖅᑕᐅᓂᖏᑦ ᐊᒥᓱᑦ ᐊᔪᒐᕐᓂᖏᑦ ᐊᔾᔨᒌᙱᑦᑐᓪᓗ ᐊᒥᓲᙱᑦᑐᑦ ᐊᓯᐅᔾᔨᓂᖏᑦ ᐊᔾᔨᒌᓪᓚᕆᒃᑐᑦ. ᓯᕉ ᐊᔾᔨᒌᒃᑎᓪᓗᒋᑦ 37 ᑲᐃᕙᕐᓂᓂ ᐊᑕᐅᓯᕐᒥᒃ ᐊᓯᐅᔾᔨᓂᕐᒥᒃ ᐃᓚᔨᔪᖅ, D-ᓗ ᓇᒻᒥᓂᖅ ᐊᒥᓲᓂᖓᓂᒃ ᐊᒥᓱᐃᓕᖅᑕᐅᒻᒪᑦ ᐊᑭᖓ ᐱᙳᐊᖅᑕᐅᓂᖓᓂᑦ ᓱᒃᑲᐃᓐᓂᖅᓴᒥᒃ ᐊᖏᒡᓕᕙᒃᑐᖅ. ᐱᙳᐊᖅᑕᐅᓂᖏᑦ ᐊᒥᓲᖏᑦ 100 ᑲᐃᕙᕐᓂᑦ ᑎᑭᓪᓗᒋᑦ ᑮᓇᐅᔭᒃᓴᕐᓂᕐᒥᒃ ᐃᓱᓕᑦᑐᑦ; ᐊᔾᔨᒌᒃᑎᑕᐅᔪᖅ ᑕᐃᒪᐃᓐᓂᑦᑕᕐᓂᐊᙱᑦᑐᖅ, ᐊᒻᒪ ᕼᐊᓐᑐᕆᑦ ᐊᒥᓲᙱᑦᑐᑦ ᑲᐃᕙᕐᓃᑦ ᐅᖓᑖᓄᑦ ᐱᙳᐊᖅᑕᐅᓂᖏᑦ ᐊᒥᓲᖏᑦ ᐊᓯᐅᔾᔨᒥᔪᑦ.
ᐅᑎᖅᑕᖅᑎᑦᑐᒋᑦ?
ᑳᓐᑐᕋ-ᑕᓚᒻᐱᐅᕐ (Contra-D’Alembert), ᐅᑎᖅᑕᖅ ᑕᓚᒻᐱᐅᕐᒥᒃ ᐊᑎᖃᕐᒥᔪᖅ, ᐊᔪᒐᕐᓂᐅᑉ ᑭᖑᐊᓂ ᐊᑦᔨᐅᑎᒥᒃ ᐃᓚᔨᔪᖅ, ᐊᓯᐅᔾᔨᓂᐅᑉ ᑭᖑᐊᓂ ᐊᑕᐅᓯᕐᒥᒃ ᐲᖅᓯᔪᖅ. ᓯᕗᓪᓕᐅᔪᒥᒃ ᐅᑎᖅᑕᖅᓯᒪᓪᓚᕆᒃᑐᖅ. ᐊᑕᐅᓯᖅ ᐊᑦᔨᐅᑎᓕᒃ ᐱᙳᐊᕈᑎ ᐊᓯᐅᔾᔨᙱᑉᐸᑦ, N ᑲᐃᕙᕐᓂᓕᒃ ᐱᙳᐊᖅᑕᐅᓂᖓ (D² − N)/2 + D ᐊᑦᔨᐅᑎᓂᒃ ᐃᓱᓕᑦᑐᖅ, ᒫᓐᓇ D ᐊᔪᒐᕐᓃᑦ ᐊᓯᐅᔾᔨᓃᑦ ᐲᖅᓯᓪᓗᒋᑦ. ᐊᔾᔨᒌᒃᑐᖅ ᐱᙳᐊᖅᑕᐅᓂᖓ ᑲᐃᕙᕐᓂᕐᒧᑦ ᐊᑦᔨᐅᑎᐅᑉ ᕿᑎᐊᓂᒃ ᐊᓯᐅᔾᔨᔪᖅ, ᐊᔪᒐᕐᓃᑦ ᑐᓪᓕᖅᑐᑦ ᐊᓯᐅᔾᔨᓂᕐᓂᑦ ᐊᒥᓱᓪᓚᕆᐊᓗᐃᑦ ᑭᓯᐊᓂ ᑮᓇᐅᔭᒃᓴᕐᓂᕐᒥᒃ ᐱᔪᑦ. ᑕᐃᒪ ᐱᙳᐊᖅᑕᐅᓂᖏᑦ ᐊᒥᓲᖏᑦ ᒥᑭᓐᓂᖅ ᐊᓯᐅᔾᔨᔪᑦ, ᐃᓚᖏᓪᓗ ᐊᒥᓲᙱᑦᑐᑦ ᐊᒥᓱᓂᒃ ᐊᔪᒐᖅᑐᑦ, ᓯᕗᓪᓕᐅᔪᐊᑉ ᐊᕕᒃᓯᒪᓂᖓᓄᑦ ᐅᑎᖅᑕᖅ, ᐊᔾᔨᒌᒃᑎᑕᐅᔪᓗ ᐊᔾᔨᒌᒃᑐᖅ 2.70%-ᖑᔪᖅ ᑮᓇᐅᔭᑦ ᐱᙳᐊᕈᑎᐅᔪᑦ.
ᑕᓚᒻᐱᐅᕐ ᑭᓇᐅᓚᐅᖅᐸ?
ᔮᓐ ᓚ ᕈᓐ ᑕᓚᒻᐱᐅᕐ (Jean le Rond d’Alembert), ᓈᓴᐃᔨ Encyclopédie-ᓗ ᐋᖅᑭᒃᓯᔨᖃᑎᖓ, 1754-ᒥ ᑎᑎᕋᖅᓯᒪᔪᒥ ᐅᖃᓚᐅᖅᑐᖅ ᑮᓇᐅᔭᐅᑉ ᓯᓚᑖ ᑐᓪᓕᖅᑐᑦ ᑭᖑᐊᓂ ᐊᓯᐊ ᓯᓚᑖ ᐱᔪᓐᓇᕐᓂᖅᓴᐅᓕᖅᑐᖅ. ᑕᒡᒐᓚᐅᖅᑐᖅ, ᐊᑎᖓᓂᒡᓗ ᐊᑎᓕᒃ ᐃᓱᒪᒋᓗᐊᖅᑕᐅᔪᖅ ᐱᙳᐊᖅᑎᐅᑉ ᐃᓱᒪᒋᓗᐊᖅᑕᖓᑕ ᐊᔾᔨᒋᙱᑦᑐᖓ. ᑕᓚᒻᐱᐅᕐ ᐸᕐᓇᐅᑎ ᕉᓚᑦᒥ ᑭᖑᓂᐊᒍᑦ ᐊᑎᖓᓂᒃ ᐊᑎᖅᑖᖅᑐᖅ, ᑮᓇᐅᔭᓂᒃ ᐱᙳᐊᖅᑎᓄᑦ ᐊᔾᔨᒌᒃᑐᒥᒃ ᐃᓱᒪᒋᔭᖃᖅᑐᓄᑦ. ᓴᓇᓚᐅᙱᑦᑐᖅ, ᐱᐅᒋᔭᐅᔪᓐᓇᓚᐅᙱᑦᑐᖅ ᖃᓄᐃᓕᖓᔪᓐᓇᖅᑐᖅ.
ᐊᓯᖏᑦ ᐊᔾᔨᒋᙱᑦᑐᑦ ᐱᑕᖃᖅᐸᑦ?
ᑳᓐᑐᕋ-ᑕᓚᒻᐱᐅᕐ, ᖁᓛᓂ, ᓱᒃᑲᐃᑦᑐᑎᑐᑦ ᐸᕈᓕᑎᑐᑦᐸᕐᓇᐅᑎᐸᕈᓕᐱᐅᔪᖅ ᐊᓯᑦᑐᖅᐸᓪᓕᐊᓂᖅ: ᐊᔪᒐᕐᓂᖅ ᑭᖑᓂᖓᓂ ᒪᕐᕉᕆᐊᖅᓗᒍ, ᐊᓯᐅᔾᔨᓂᖅ ᑭᖑᓂᖓᓂ ᐅᕝᕙᓘᓐᓃᑦ ᐱᖓᓱᑦ ᐊᔪᒐᕐᓃᑦ ᑐᓪᓕᖅᑐᑦ ᑭᖑᓂᖏᓐᓂ ᐱᒋᐊᖅᑭᓪᓗᒍ. ᐊᓯᐊᓂ ᐊᑎᖓ: ᐅᑎᖅᑕᖅ ᒫᑎᓐᒐᐃᓪ.ᐃᓘᓐᓇᖓ ᐅᖃᓕᒫᕐᓗᒍ → ᐊᐅᓚᑦᑎᔪᖅ. ᐃᓚᖏᑦ ᐱᙳᐊᖅᑏᑦ ᐊᓯᐅᔾᔨᓂᐅᑉ ᑭᖑᐊᓂ ᒪᕐᕉᓂᒃ ᐊᑦᔨᐅᑎᓂᒃ ᐃᓚᔨᔪᑦ ᐊᔪᒐᕐᓂᐅᑉ ᑭᖑᐊᓂᓗ ᐊᑕᐅᓯᕐᒥᒃ ᐲᖅᓯᓪᓗᑎᒃ, ᑕᐃᒪ ᑐᖕᒥᕋᐃᑦ ᒫᑎᓐᒐᐃᓪᒧᑦ ᖃᓂᓕᒋᐊᖅᑐᑦ. ᐊᔾᔨᒋᙱᑦᑐᑦ ᑕᒪᐃᑦ ᐊᔾᔨᒌᒃᑐᒥᒃ ᓂᕆᐅᒋᔭᐅᔪᒥᒃ ᐊᓯᐅᔾᔨᓂᕐᒥᒃᓈᓴᐃᓂᖅᓂᕆᐅᒋᔭᐅᔪᖅ ᐊᓯᐅᔾᔨᓂᖅᓂᕆᐅᒋᔭᐅᔪᖅ ᐊᑭᖓ ᐊᕐᓕᒃᓗᒍ ᐱᙳᐊᕈᑏᑦ ᑲᑎᑕᐅᓂᖏᓐᓄᑦ; ᐱᙳᐊᖅᑕᐅᓂᖓᓂ ᐅᕝᕙᓘᓐᓃᑦ ᐱᕕᒃᓴᕐᒥ ᐊᓯᐅᔾᔨᓂᖅ ᐊᔾᔨᒌᒃᑎᑕᐅᔪᖅ.ᐃᓘᓐᓇᖓ ᐅᖃᓕᒫᕐᓗᒍ → ᐱᑕᖃᖅᑐᑦ ᐊᑦᔨᐅᑎᒧᑦ ᐱᙳᐊᕈᑎᐅᔪᒧᑦ.
ᐊᔾᔨᐅᖅᑕᐅᑎ · ᑕᓚᒻᐱᐅᕐ
2,000 ᐱᙳᐊᖅᑕᐅᓂᖏᑦ ᐊᔾᔨᒌᒃᑐᒥᒃ ᐊᑭᓕᐅᑎᓕᒃ ᐱᙳᐊᕈᑎᓂᒃ, $1,000 ᐱᙳᐊᕈᑎᒃᓴᓂᑦ ᐱᒋᐊᕐᓗᓂ.
ᐱᒋᐊᕈᑎ ᐱᙳᐊᕈᑎ $10 · ᐱᙳᐊᕐᕕᐅᑉ ᑭᒡᓕᖓ $500 · 100 ᑲᐃᕙᕐᓃᑦ ᐱᙳᐊᖅᑕᐅᓂᖓᓂ
ᖃᔅᓯᓪᓗᐊᖅᑐᒥᒃ ᐊᓯᐅᔾᔨᓃᑦ ᑐᓪᓕᖅᑐᑦ ᓴᖅᑭᕙᑦᑐᑦ
ᐊᔾᔨᒌᒃᑐᒥᒃ ᐊᑭᓕᐅᑎᓕᒃ ᐱᙳᐊᕈᑎ ᐊᑕᐅᓯᖅ ᓯᕉᓕᖕᒥ ᐊᒃᓴᓗᐊᕐᒥ ᐊᓯᐅᔾᔨᕙᑦᑐᖅ 19 ᑲᐃᕙᕐᓂᕐᓂ 37-ᓂ. ᑐᑭᓕᐊᑕᒫᑦ ᑕᑯᑎᑦᓯᔪᑦ ᐱᔪᓐᓇᕐᓂᕐᒥᒃ ᑲᐃᕙᕐᓃᑦ ᑐᓪᓕᖅᑐᑦ ᐃᓘᓐᓇᖏᑦ ᐊᓯᐅᔾᔨᓂᐊᕐᒪᖔᑕ, ᐊᒻᒪ ᖃᔅᓯᓂᒃ ᑕᓚᒻᐱᐅᕐ ᐱᙳᐊᖅᑎᐅᑉ, ᐊᓯᐅᔾᔨᑐᐊᕋᒥ ᐱᒋᐊᕈᑎ ᐱᙳᐊᕈᑎᒥᒃ ᐊᑕᐅᓯᕐᒥᒃ ᐃᓚᓯᔪᑉ, ᐊᓯᐅᔾᔨᓯᒪᓂᖓ ᑕᐃᑲᓂ.
| ᐊᓯᐅᔾᔨᓃᑦ ᑐᓪᓕᖅᑐᑦ | ᐱᔪᓐᓇᕐᓂᖅ | ᖃᓂᒋᔮᓂ 1 / | ᒫᓐᓇᒧᑦ ᐊᓯᐅᔾᔨᓯᒪᔪᑦ | ᑐᓪᓕᐊ ᐱᙳᐊᕈᑎ |
|---|---|---|---|---|
| 1 | 51.4% | 2 | $1 | $2 |
| 2 | 26.4% | 4 | $3 | $3 |
| 3 | 13.5% | 7 | $6 | $4 |
| 4 | 7.0% | 14 | $10 | $5 |
| 5 | 3.6% | 28 | $15 | $6 |
| 6 | 1.8% | 55 | $21 | $7 |
| 7 | 0.94% | 106 | $28 | $8 |
| 8 | 0.48% | 207 | $36 | $9 |
| 9 | 0.25% | 403 | $45 | $10 |
| 10 | 0.13% | 784 | $55 | $11 |
| 11 | 0.065% | 1527 | $66 | $12 |
| 12 | 0.034% | 2974 | $78 | $13 |
| 13 | 0.017% | 5792 | $91 | $14 |
| 14 | 0.0089% | 11279 | $105 | $15 |
| 15 | 0.0046% | 21965 | $120 | $16 |
ᐱᔪᓐᓇᕐᓂᖅ ᑕᒪᓐᓇ 19/37 ᐃᒻᒥᓂᒃ ᐊᒥᓱᕆᐊᖅᑎᑕᐅᔪᖅ ᐊᓯᐅᔾᔨᓂᑕᒫᑦ, ᑲᐃᕙᕐᓂᕐᒥᑦ ᐊᑕᐅᓯᕐᒥᑦ ᓈᓴᐃᓪᓗᓂ. ᐊᑯᓂᐅᔪᖅ ᐱᙳᐊᖅᑕᐅᓂᖓ ᑲᐃᕙᕐᓂᖃᖅᑐᖅ ᐊᒥᓱᓂᒃ ᑕᒪᒃᑯᓂᖓ ᑐᓪᓕᖅᑐᑦ ᐱᒋᐊᕐᕕᒋᔪᓐᓇᖅᑕᖏᓐᓂᒃ, ᑕᐃᒪᓐᓇ ᐅᓐᓄᒃᑯᑦ ᐱᙳᐊᕐᓗᓂ ᑕᐃᒪᐃᓐᓂᖓ ᐱᔪᓐᓇᕐᓂᖅᓴᐅᓪᓚᕆᒃᑐᖅ ᑐᑭᓕᐊᖅ ᐊᑕᐅᓯᖅ ᑕᑯᑎᑦᓯᔭᖓᓂᑦ.
ᐊᐱᖅᑯᑏᑦ
ᐊᓪᓚᕐᓂᖃᙱᑦᑐᖅ, ᑕᐃᒪᓐᓇᐃᑦᑐᖅ ᐊᓯᐅᔾᔨᓂᕐᒥᒃ ᒪᓕᒃᑐᓂ ᐊᓯᑦᑐᖅᐸᓪᓕᐊᓂᕐᓂ ᓱᒃᑲᐃᓛᖑᔪᖅ. ᐊᔾᔨᒌᒃᑐᓂᒃ ᐱᙳᐊᕈᑎᓕᐅᕐᓂᕐᒥᑦ ᐊᑭᑭᓂᖅᓴᐅᙱᑦᑐᖅ; ᒥᑭᓐᓂᖅ ᐊᑭᓂᖅᓴᐅᔪᖅ.
ᐱᙳᐊᕐᕕᐅᑉ ᑭᒡᓕᖓᐱᙳᐊᕐᕕᒃᐱᙳᐊᕐᕕᐅᑉ ᑭᒡᓕᖓᐱᙳᐊᕈᑎ ᒥᑭᓛᖅ ᐊᖏᓛᕐᓗ ᐊᖏᖅᑕᐅᔪᑦ. ᐊᖏᓛᖅ ᒪᕐᕉᕆᐊᖅᑎᑦᓯᔪᑦ ᐊᓯᑦᑐᖅᐸᓪᓕᐊᓂᐅᔪᑦ ᓄᖅᑲᖅᑎᑦᑕᖏᑦ.ᐃᓘᓐᓇᖓ ᐅᖃᓕᒫᕐᓗᒍ → ᐅᕝᕙᓘᓐᓃᑦ ᐱᙳᐊᕈᑎᒃᓴᑎᑦᑮᓇᐅᔭᖅᐱᙳᐊᕈᑎᒃᓴᐃᑦᑮᓇᐅᔭᑦ ᐃᓘᓐᓇᖏᑦ ᐱᙳᐊᕐᓂᕐᒧᑦ ᐊᕕᒃᓯᒪᔭᐅᔪᑦ. ᐱᙳᐊᕈᑎᒃᓴᓂᒃ ᐊᐅᓚᑦᓯᓂᖅ ᑐᑭᖃᖅᑐᖅ ᖃᔅᓯᑦ ᐱᙳᐊᕈᑎ ᐊᑐᓂ ᐱᙳᐊᖅᑕᐅᓂᖓᓂᓗ ᐊᑐᓂ ᐊᓯᐅᔪᓐᓇᖅᑕᐅᓂᐊᕐᒪᖔᑕ ᐃᓱᒪᓕᐅᕐᓂᕐᒥᒃ.ᐃᓘᓐᓇᖓ ᐅᖃᓕᒫᕐᓗᒍ → ᑭᓯᐊᓂ. ᐊᑯᓂᐅᔪᒥ ᐊᓯᐅᔾᔨᕕᐅᔪᒥ ᐱᙳᐊᖅᑕᐅᓂᕐᒥ ᖁᕝᕙᓯᒃᐸᓪᓕᐊᐃᓐᓇᖅᑐᖅ.
ᓈᓴᐃᓂᕐᒥᒃ ᐱᙳᐊᕐᓂᖅ
ᓯᕗᓪᓕᐅᓪᓗᓂ ᐃᓕᖕᓂᒃ ᐆᒃᑐᕐᓗᑎᑦ. ᑭᐅᔾᔪᑏᑦ ᐃᓗᓕᖏᑦ ᒪᑐᔭᐅᓯᒪᔪᑦ; ᐅᐸᒍᓐᓇᕈᕕᑦ ᒪᑐᐃᖅᓯᓗᒍ.
ᑕᓚᒻᐱᐅᕐ ᐊᐅᐸᓗᒃᑐᒧᑦᐱᙳᐊᕈᑎᐊᐅᐸᓗᒃᑐᖅᐊᔾᔨᒌᒃᑐᒥᒃ ᐊᑭᓕᐅᑎᓕᒃ ᐱᙳᐊᕈᑎ 18 ᐊᐅᐸᓗᒃᑐᓄᑦ ᓈᓴᐅᑎᓄᑦ. ᕖᓇᓯᑐᑦ: ᕈᔾ (rouge).ᐃᓘᓐᓇᖓ ᐅᖃᓕᒫᕐᓗᒍ → ᐱᙳᐊᖅᑕᑎᑦ 50 ᑲᐃᕙᕐᓃᓐᓂ, ᐊᑕᐅᓯᕐᒥᑦ ᐊᑦᔨᐅᑎᒥᑦᑮᓇᐅᔭᖅᐊᑦᔨᐅᑎᐸᕐᓇᐅᑎᐅᑉ ᐅᕝᕙᓘᓐᓃᑦ ᐱᙳᐊᖅᑎᐅᑉ ᑐᙵᕕᒋᔭᖓ ᐱᙳᐊᕈᑎ ᑮᓇᐅᔭᖓ. ᐊᓯᑦᑐᖅᐸᓪᓕᐊᓂᐅᔪᑦ ᐊᑦᔨᐅᑎᓄᑦ ᓇᓗᓇᐃᖅᑕᐅᕙᒃᑐᑦ, ᑕᐃᒪ ᓇᓕᐊᓂᑐᐃᓐᓇᖅ ᐱᙳᐊᕐᕕᒻᒥ ᐊᑐᕈᓐᓇᖁᓪᓗᒋᑦ.ᐃᓘᓐᓇᖓ ᐅᖃᓕᒫᕐᓗᒍ → ᐱᒋᐊᕐᓗᑎᑦ, ᐊᑦᔨᐅᑎᒧᓪᓗ ᐊᑕᐅᓯᕐᒧᑦ ᐱᙳᐊᕈᑎ ᐊᔪᒐᖅᑕᐅᕙᙱᑦᑐᖅ (ᑕᒪᑐᒥᖓ ᐊᔪᒐᕐᓂᖅ ᐊᓂᒍᖅᑎᓪᓗᒍ ᐱᙳᐊᕈᑎ ᑮᓇᐅᔭᖓ ᒥᑭᓕᒋᐊᕈᓐᓇᙱᑦᑐᖅ). ᐃᓱᓕᑦᑎᔪᑎᑦ 27 ᐊᓯᐅᔾᔨᓃᓐᓂᒃ 23-ᓂᒡᓗ ᐊᔪᒐᕐᓃᓐᓂᒃ. ᖃᔅᓯᓂᒃ ᐊᑦᔨᐅᑏᓐᓂᒃ ᐊᔪᒐᖅᓯᒪᕖᑦ ᐅᕝᕙᓘᓐᓃᑦ ᐊᓯᐅᔾᔨᓯᒪᕖᑦ? 29-ᓗ ᐊᓯᐅᔾᔨᓃᑦ 21-ᓗ ᐊᔪᒐᕐᓃᑦ?
ᑭᐅᔾᔪᑎ ᑕᑯᓗᒍ
ᑭᐅᔾᔪᑎ +13 ᐊᑦᔨᐅᑏᑦ 27 ᐊᓯᐅᔾᔨᓃᓐᓂ, −15 ᐊᑦᔨᐅᑏᑦ 29-ᓂ. ᑕᓪᓕᒪᑦ ᖁᓖᑦ ᐃᓚᖏᓐᓂ ᒪᕐᕉᒃ ᑲᐃᕙᕐᓃᒃ ᐊᓯᐊᓄᑦ ᓴᖅᑭᑦᑐᒃ 28 ᐊᑦᔨᐅᑏᓐᓂᒃ ᐊᑭᖃᖅᑐᒃ.
D ᐊᓯᐅᔾᔨᓃᑦ ᐊᔪᒐᕐᓃᑦ ᐲᖅᑕᐅᓪᓗᑎᒃ. ᓴᖅᑭᑦᑐᖅ (N − D²)/2 − D N ᑲᐃᕙᕐᓃᓐᓄᑦ. 27 ᐊᓯᐅᔾᔨᓃᓐᓂ 23-ᓂᓗ ᐊᔪᒐᕐᓃᓐᓂ, D = 4: (50 − 16)/2 − 4 = 17 − 4 = +13. 29-ᓂ 21-ᓂᓗ, D = 8: (50 − 64)/2 − 8 = −7 − 8 = −15.
ᓱᒻᒪᑦ ᒪᓕᒐᖅ ᓱᓕᒻᒪᑦ: ᐱᙳᐊᕈᑎ ᑮᓇᐅᔭᖓ ᑕᐃᒪ ᐊᑦᔨᐅᑎ ᐊᑕᐅᓯᖅ ᐊᓯᐅᔾᔨᓃᓪᓗ ᒫᓐᓇᒧᑦ ᐊᔪᒐᕐᓃᑦ ᒫᓐᓇᒧᑦ ᐲᖅᑕᐅᓪᓗᑎᒃ. ᐊᓯᐅᔾᔨᓂᖅ ᑕᒪᐃᓐᓇ ᑭᖑᓂᐊᒍᑦ ᐊᔪᒐᕐᓂᕐᒧᑦ ᓄᙳᑕᐅᔪᖅ ᒪᕐᕉᖕᓂᒃ ᓴᓇᔪᖅ, s ᐊᓯᐅᔾᔨᓪᓗᓂ ᑕᐃᑦᓱᒪᓂᓗ s + 1 ᐊᔪᒐᖅᓗᓂ, ᑲᑎᑕᐅᓪᓗᑎᒃ +1 ᐊᑦᔨᐅᑎ, ᖁᓛᓂ ᓈᓴᐅᑎᓕᐊᑦ ᑕᑯᑎᑦᓯᓂᖏᑐᑦ. N ᑲᐃᕙᕐᓃᓐᓂ, (N − D)/2 ᒪᕐᕉᖏᓐᓂᑦ ᓴᖅᑭᑦᑐᑦ, +(N − D)/2-ᒥᒃ ᐊᑭᓕᑦ. D ᐊᓯᐅᔾᔨᓃᑦ ᐊᓯᐅᖅᑕᐃᓕᔪᑦ ᐱᙳᐊᕈᑎ ᑮᓇᐅᔭᖏᓐᓂ 1, 2 … D ᖁᕝᕙᖅᑎᓪᓗᒋᑦ ᐃᓕᔭᐅᓯᒪᔪᑦ ᓄᙳᑕᐅᓯᒪᙱᑦᑐᓪᓗ; ᐊᑭᖃᖅᑐᑦ 1 + 2 + … + D = D(D + 1)/2. ᐊᑕᐅᑦᑎᒃᑯᑦ: (N − D)/2 − D(D + 1)/2 = (N − D²)/2 − D.
ᐊᒥᓲᓕᕆᐊᖅᓯᒪᔪᖅ ᐅᓂᒃᑳᖅ ᑕᒪᐃᓐᓇ. ᐱᙳᐊᖅᑕᐅᓂᖓ ᐊᔾᔨᒌᒃᑐᖅ ᐊᑦᔨᐅᑎᐅᑉ ᖃᑉᐱᐊᓐᓂᖓᓂᒃ ᑲᐃᕙᕐᓂᕐᒥ ᐊᑭᓕᐅᑎᖃᖅᑐᖅ, ᐊᓪᓗᕐᓂᕐᓗ ᑕᒪᐃᓐᓇ ᐊᔾᔨᒌᓐᓂᕐᒥᑦ ᐊᑭᓕᓐᓂᖅᓴᐅᔪᖅ ᓯᕗᓂᐊᓂ ᐃᓂᖃᖅᑐᒥᑦ.
ᐅᑎᖅᑕᖅ ᑕᓚᒻᐱᐅᕐ ᐊᐅᐸᓗᒃᑐᒧᑦ ᐱᙳᐊᖅᑕᑎᑦ 100 ᑲᐃᕙᕐᓃᓐᓂ, ᐊᑦᔨᐅᑎᒥᑦ ᐊᑕᐅᓯᕐᒥᑦ ᐱᒋᐊᕐᓗᑎᑦ, ᐊᑦᔨᐅᑎᒧᓪᓗ ᐊᑕᐅᓯᕐᒧᑦ ᐱᙳᐊᕈᑎ ᐊᓯᐅᔾᔨᕙᙱᑦᑐᖅ. ᐃᓱᓕᑦᑎᔪᑎᑦ 52 ᐊᔪᒐᕐᓃᓐᓂᒃ 48-ᓂᒡᓗ ᐊᓯᐅᔾᔨᓃᓐᓂᒃ. ᓇᐅᑦᑎᖅᑐᖅᐱᑦ? 60-ᓗ ᐊᔪᒐᕐᓃᑦ 40-ᓗ ᐊᓯᐅᔾᔨᓃᑦ?
ᑭᐅᔾᔪᑎ ᑕᑯᓗᒍ
ᑭᐅᔾᔪᑎ −38 ᐊᑦᔨᐅᑏᑦ 52 ᐊᔪᒐᕐᓃᓐᓂ, +170 60-ᓂ. ᐊᔪᒐᕐᓃᑦ ᐊᒥᓲᓂᖅᓴᐅᑐᐊᖅᑐᑦ ᓱᓕ ᐊᓯᐅᔾᔨᔪᑦ; ᐊᒥᓲᓪᓚᕆᒃᐸᑕ ᑭᓯᐊᓂ ᐊᑭᓕᐅᑎᖃᖅᑐᑦ.
D ᐊᔪᒐᕐᓃᑦ ᐊᓯᐅᔾᔨᓃᑦ ᐲᖅᑕᐅᓪᓗᑎᒃ. ᓴᖅᑭᑦᑐᖅ (D² − N)/2 + D N ᑲᐃᕙᕐᓃᓐᓄᑦ.
52 ᐊᔪᒐᕐᓃᑦ 48-ᓗ ᐊᓯᐅᔾᔨᓃᑦ: D = 4, ᑕᐃᒪᐃᒻᒪᑦ (16 − 100)/2 + 4 = −42 + 4 = −38.
60 ᐊᔪᒐᕐᓃᑦ 40-ᓗ ᐊᓯᐅᔾᔨᓃᑦ: D = 20, ᑕᐃᒪᐃᒻᒪᑦ (400 − 100)/2 + 20 = 150 + 20 = +170.
ᓱᒻᒪᑦ: ᐊᔪᒐᕐᓂᖅ ᑕᒪᐃᓐᓇ ᑭᖑᓂᐊᒍᑦ ᐊᓯᐅᔾᔨᓂᕐᒧᑦ ᓄᙳᑕᐅᔪᖅ ᒪᕐᕉᖕᓂᒃ ᓴᓇᔪᖅ, s-ᒥ ᐊᔪᒐᖅᓗᓂ ᑕᐃᑦᓱᒪᓂᓗ s + 1-ᒥ ᐊᓯᐅᔾᔨᓪᓗᓂ, ᑲᑎᑕᐅᓪᓗᑎᒃ −1. D ᐊᔪᒐᕐᓃᑦ ᐊᓯᐅᖅᑕᐃᓕᔪᑦ ᐱᙳᐊᕈᑎ ᑮᓇᐅᔭᖏᓐᓂ 1, 2 … D ᖁᕝᕙᖅᑎᓪᓗᒋᑦ ᐃᓕᔭᐅᓯᒪᔪᑦ ᓄᙳᑕᐅᕙᙱᑦᑐᓪᓗ; D(D + 1)/2-ᒥᒃ ᐱᔪᖃᖅᑎᑦᓯᔪᑦ. N ᑲᐃᕙᕐᓃᓐᓂ, (N − D)/2 ᒪᕐᕉᖏᓐᓂᑦ ᓴᖅᑭᑦᑐᑦ, ᑕᐃᒪᐃᒻᒪᑦ ᑲᑎᑕᐅᓂᖏᑦ D(D + 1)/2 − (N − D)/2 = (D² − N)/2 + D.
ᑕᒪᓐᓇ ᑕᓚᒻᐱᐅᕐ ᓯᕗᓪᓕᖅᐹᖅ ᒪᓕᒐᖓ ᓇᓗᓇᐃᒃᑯᑕᖏᑦ ᐅᑎᖅᑕᐅᓪᓗᑎᒃ: ᑕᐅᕙᓂ, ᐊᔾᔨᒌᓐᓂᖅ ᐊᑦᔨᐅᑎᐅᑉ ᖃᑉᐱᐊᓐᓂᖓᓂᒃ ᑲᐃᕙᕐᓂᕐᒥ ᐊᔪᒐᖅᑐᖅ ᐊᔾᔨᒌᙱᓐᓂᕐᓗ ᐊᓯᐅᔾᔨᑎᑦᓯᔪᖅ; ᑕᒫᓂ, ᐊᔾᔨᒌᓐᓂᖅ ᐊᑦᔨᐅᑎᐅᑉ ᖃᑉᐱᐊᓐᓂᖓᓂᒃ ᑲᐃᕙᕐᓂᕐᒥ ᐊᑭᖃᖅᑐᖅ ᐊᔾᔨᒌᙱᓐᓂᕐᓗ ᐊᑭᓕᖅᓱᖅᑕᐅᔪᖅ.
ᐃᓪᓗᕐᓇᖅᑐᖅ ᐊᔾᔨᓕᐊᖅ
ᓈᓴᐃᔨᒥᒃ ᑮᓇᐅᔭᕐᒥᒃ ᑕᒡᒐᓚᐅᖅᑐᒥᒃ ᐊᑎᖅᑖᖅᑐᖅ.
ᐱᕝᕕᒋᔭᐅᔪᑦ
- RouletteDoc. Strategy description and examples.
- Roulette77. Strategy description and examples.
- d’Alembert, J. “Croix ou pile.”
- Ethier, S. N. The Doctrine of Chances: Probabilistic Aspects of Gambling.
- Epstein, R. A. The Theory of Gambling and Statistical Logic, 2nd ed.