ᕉᓚᑦ ᐊᔪᖅᑎᑕᐅᔪᓐᓇᖅᐸ? ᕉᓚᑦᒥ ᖃᓄᖅ ᐊᔪᒐᕈᓐᓇᖅᐱᑦ
ᕉᓚᑦᒥ ᖃᓄᖅ ᐊᔪᒐᕈᓐᓇᖅᐱᑦ? ᐱᙳᐊᕈᑎᓕᐅᕐᓂᕐᒧᑦ ᐸᕐᓇᐅᑎᒃᑯᑦ ᐊᔪᒐᕈᓐᓇᙱᑦᑐᑎᑦ. ᐱᐅᓯᑐᖃᒃᑯᑦ, ᓱᕋᒃᓯᒪᔪᒃᑯᑦ ᐊᒃᓴᓗᐊᒃᑯᑦ ᐅᕝᕙᓘᓐᓃᑦ ᐱᙳᐊᖅᑎᑦᓯᔨᒃᑯᑦ ᓇᓗᓇᐃᖅᑕᐅᔪᓐᓇᖅᑐᒃᑯᑦ ᐱᔪᓐᓇᓚᐅᖅᓯᒪᔪᖅ, ᐱᓕᕆᐊᓗᓐᓂᒃᑯᑦ ᑭᓯᐊᓂ.

ᐱᙳᐊᕈᑎᓕᐅᕐᓂᕐᒧᑦ ᐸᕐᓇᐅᑏᑦ ᕉᓚᑦᒥᒃ ᐊᔪᖅᑎᑦᓯᔪᓐᓇᙱᑦᑐᑦ: ᓂᕆᐅᒋᔭᐅᔪᑦ ᐊᑭᖏᑦᓈᓴᐃᓂᖅᓂᕆᐅᒋᔭᐅᔪᖅ ᐊᑭᖓᐱᙳᐊᕈᑎ ᐊᑐᓂ ᐊᑯᓂᐅᓂᖅᓴᒥ ᐊᔾᔨᒌᒃᑎᑕᐅᔪᖅ ᐱᓐᓂᖓ. ᐃᐅᕌᐸ ᐱᙳᐊᕈᑎ ᑕᒪᐃᓐᓂ −1/37 ᐱᙳᐊᕈᑎ ᑮᓇᐅᔭᖓᓂᑦ.ᐃᓘᓐᓇᖓ ᐅᖃᓕᒫᕐᓗᒍ → ᑲᑎᑕᐅᔪᓐᓇᖅᑐᑦ ᐱᙳᐊᕈᑎᓪᓗ ᑕᒪᕐᒥᒃ ᐊᓯᐅᔾᔨᓂᐅᔪᖅ. ᐊᔪᒐᕐᓃᑦ ᑎᑎᕋᖅᓯᒪᔪᑦ ᐊᒃᓴᓗᐊᑉ ᐊᐅᓚᓂᖓᓂᑦ ᐱᓚᐅᖅᑐᑦ, ᐊᕕᒃᓯᒪᓂᕐᓂᑦ ᐅᙱᑦᑐᖅ.
ᓱᒻᒪᑦ ᐸᕐᓇᐅᑏᑦ ᐊᐅᓚᑦᑎᙱᓚᑦ
ᐱᙳᐊᕈᑎ ᑕᒪᕐᒥᒃ EV = ᐱᙳᐊᕈᑎ ᑮᓇᐅᔭᖓᑕ −1/37-ᖓ. ᐱᙳᐊᕈᑏᑦ ᑐᓪᓕᖅᑐᑦ ᑭᓱᑐᐃᓐᓇᐃᑦ, ᓯᕗᓂᐊᓂ ᐃᓱᓕᑦᑎᓂᕐᓂᑦ ᖃᓄᑐᐃᓐᓇᖅ ᓇᓚᐅᑦᑖᖅᑕᐅᓯᒪᒐᓗᐊᖅᐸᑕ, EV = ᑲᑎᑕᐅᔪᑦ ᐱᙳᐊᕈᑏᑦ −1/37-ᖓ. ᑕᒪᓐᓇ ᓈᓴᐃᓂᒃᑯᑦ ᓱᓕᔪᖅ ᓇᓗᓇᖅᑐᑦ ᐊᑭᐅᔪᓐᓇᖅᑐᑦ ᑲᑎᑕᐅᓂᖏᓐᓄᑦ, ᑕᑯᓯᒪᔭᐅᔪᖅ ᐸᕐᓇᐅᑎᒥᑦ ᐱᐅᓂᖅᓴᒥᑦ ᐊᓯᑦᑐᖅᑎᑕᐅᔪᓐᓇᖅᑐᖅ ᐅᙱᑦᑐᖅ. ᔪᓯᕙ ᑐᑉ (Joseph Doob) ᐹᓪ ᕼᐊᓪᒧᔅ (Paul Halmos)-ᓗ 1930-ᖏᓐᓂ ᓇᓗᓇᐃᖅᓯᓚᐅᖅᑐᒃ, ᐃᑦᕗᑦ ᑐᐊᑉ (Edward Thorp)-ᓗ, ᐸᓚᐃᒃᔮᒃᒥᒃ ᑳᑦᑎᒃᑯᑦ ᓈᓴᐃᓪᓗᓂ ᐊᔪᖅᑎᑦᓯᓚᐅᖅᑐᖅ, ᐱᔭᕆᐊᖃᖅᑕᖏᓐᓂᒃ ᓇᓗᓇᐃᖅᓯᓚᐅᖅᑐᖅ: ᐱᙳᐊᕈᑎ ᑕᒪᕐᒥᒃ ᐊᓯᐅᔾᔨᓂᐅᔪᖅ, ᐃᒻᒥᓂᖅ ᑲᐃᕙᕐᓃᑦᓈᓴᐃᓂᖅᐃᒻᒥᓂᖅ ᑲᐃᕙᕐᓃᑦᑲᐃᕙᕐᓂᖅ ᑕᒪᐃᓐᓂ ᐊᔾᔨᒌᒃᑐᓂᒃ ᐱᔪᓐᓇᕐᓂᓕᒃ, ᓯᕗᓂᖓᓂ ᐱᓯᒪᔪᑦ ᖃᓄᐃᒃᑲᓗᐊᕐᒪᖔᑕ. ᒪᑉᐱᒐᓂ ᐅᕙᓂ ᓈᓴᐅᑎᓕᐅᕈᑏᑦ ᑕᒪᐃᑦ ᑐᙵᕕᖓ.ᐃᓘᓐᓇᖓ ᐅᖃᓕᒫᕐᓗᒍ →, ᐱᙳᐊᕐᕕᐅᑉ ᐊᖏᓛᖓ ᒥᑭᓛᖓᓗ. 1966-ᒥ ᐃᓕᓐᓂᐊᕈᑎᖓ ᓇᓗᓇᐃᖅᓯᓂᕐᒥᒃ ᐱᔭᕐᓂᑦᑐᒥᒃ ᑐᓂᓯᔪᖅ.
ᓱᓇ ᐊᐅᓚᑦᑎᓚᐅᖅᓯᒪᕙ
ᐱᖓᓱᑦ, ᑕᒪᐃᑦ ᐊᒃᓴᓗᐊᖅ ᓇᖕᒥᓂᖅ ᐊᑐᓪᓗᒍ. ᓴᖑᓯᒪᓂᖅ: ᐊᒃᓴᓗᐊᖅ ᐃᓂᖏᑦᐊᑐᖅᑕᐅᔪᑦᐃᓂᑲᐃᕙᖅᑐᒥ 37 ᓈᓴᐅᑎᓕᑦ ᐃᓂᑦ ᐊᑕᐅᓯᖓ. ᐊᓯᐊᓂ ᐊᑎᖏᑦ: ᐃᓂᒋᐊᖅ, ᖃᓪᓗᐊᖅ.ᐃᓘᓐᓇᖓ ᐅᖃᓕᒫᕐᓗᒍ → ᐊᔾᔨᒌᒃᑐᒥᒃ ᐱᔪᓐᓇᕐᓂᖃᙱᑦᑐᑦ, ᑕᐅᓴᓐ ᐊᒥᓱᑦ ᑲᐃᕙᕐᓃᑦ ᑎᑎᕋᖅᑕᐅᓪᓗᑎᒃ ᓇᓂᔭᐅᔪᖅ. ᓇᓚᐅᑦᑖᕐᓂᖅ: ᐊᖅᓴᖅᐊᑐᖅᑕᐅᔪᑦᐊᖅᓴᖅᒥᑭᔪᖅ ᐊᖅᓴᖅ ᐊᖁᑎᖓᓂ ᑲᐃᕙᖅᑐᑉ ᐊᑉᐱᖓᓄᑦ ᐃᒋᑕᐅᔪᖅ. ᒫᓐᓇᐅᔪᖅ ᐊᖅᓵᑦ ᐃᕗᕆᓐ ᐅᕝᕙᓘᓐᓃᑦ ᑎᕙᓚᓐ, 18–21 mm.ᐃᓘᓐᓇᖓ ᐅᖃᓕᒫᕐᓗᒍ → ᑲᐃᕙᖅᑐᕐᓗᐊᑐᖅᑕᐅᔪᑦᑲᐃᕙᖅᑐᖅᐊᒃᓴᓗᐊᑉ ᑲᐃᕙᖅᑐᖅ ᐃᓚᖓ ᐃᓂᓂᒃ ᐃᓗᓕᓕᒃ.ᐃᓘᓐᓇᖓ ᐅᖃᓕᒫᕐᓗᒍ → ᓱᒃᑲᐃᓐᓂᖏᑦ ᓈᓴᖅᓗᒋᑦ ᐊᖅᓴᖅ ᓇᓪᓕᐊᓄᑦ ᐊᒃᓴᓗᐊᑉ ᐃᓚᖓᓄᑦᐊᒃᓴᓗᐊᖅᐊᒃᓴᓗᐊᑉ ᐃᓚᖓᐊᒃᓴᓗᐊᕐᒥ ᐃᓂᑦ ᓴᓂᓕᐅᑎᒌᒃᑐᑦ ᑲᑎᑦᑐᑦ, ᐱᙳᐊᕈᑎᓕᕆᕝᕕᖕᒥ ᑲᑎᑦᑐᓂᑦ ᐊᔾᔨᒋᙱᑦᑐᑦ.ᐃᓘᓐᓇᖓ ᐅᖃᓕᒫᕐᓗᒍ → ᑎᑭᓐᓂᐊᕐᒪᖔᑦ ᓇᓚᐅᑦᑖᕐᓗᒍ, 1970-ᖏᓐᓂᑦ ᐃᔨᖅᓯᒪᔪᓂᒃ ᖃᕆᑕᐅᔭᓂᒃ ᐊᑐᓪᓗᒋᑦ. ᐱᙳᐊᖅᑎᑦᓯᔨᐅᑉ ᐃᓕᖁᓯᖓ: ᐱᙳᐊᖅᑎᑦᓯᔨ ᐊᖅᓴᖅ ᐊᔾᔨᒌᒃᑐᒥᒃ ᐱᕙᓪᓕᐊᑎᑦᓯᕙᒃᑐᖅ ᑕᐃᒪᓐᓇᐃᑦᑐᖅ ᑎᑭᕝᕕᖓ ᓇᓚᐅᑦᑖᖅᑕᐅᔪᓐᓇᖅᑐᖅ ᐃᓱᒪᒋᔭᐅᔪᖅ, ᓱᓕᓂᖓ ᓇᓗᓇᐃᖅᑕᐅᑦᑎᐊᓚᐅᖅᓯᒪᙱᑦᑐᖅ. ᐱᖓᓱᑦ ᑕᒪᐃᑦ ᐊᒃᓴᓗᐊᖅ ᓇᖕᒥᓂᖅ, ᐊᑯᓂ ᑕᑯᓐᓇᕐᓂᖅ, ᑳᓯᓄᓗ ᖃᐅᔨᓯᒪᙱᑦᑐᖅ ᐱᔭᕆᐊᖃᖅᑐᑦ.
ᔪᓯᕙ ᔭᒐ (Joseph Jagger) ᒪᓐᑎ ᑳᓗᒥ ᐊᒃᓴᓗᐊᑦ ᑎᑎᕋᖅᑕᐅᑎᑦᓯᔪᖅ, ᓈᓴᐅᑏᑦ ᐊᒥᓱᐊᓗᒃᑲᓐᓂᐊᕐᓗᒍ ᓴᖅᑭᑦᑐᑦ ᓇᓂᓯᓪᓗᓂᒋᑦ, ᐊᒥᓱᐊᓗᓐᓂᒡᓗ ᐊᔪᒐᖅᓗᓂ ᑳᓯᓄ ᐊᒃᓴᓗᐊᖏᓐᓂᒃ ᓅᑦᑎᖅᑎᓪᓗᒍ ᑭᖑᓂᐊᒍᓪᓗ ᐊᓯᖏᓐᓂᒃ ᓴᓂᕝᕙᖅᑎᓪᓗᒍ.
ᓵᓪᔅ ᐅᐊᓪᔅ (Charles Wells) “ᑳᓯᓅᑉ ᑮᓇᐅᔭᖏᓐᓂᒃ ᐲᖅᓯᔪᖅ” ᐱᔪᓐᓇᕐᓂᐊᓗᒃᑯᑦ ᐸᕐᓇᐅᑎᒃᑯᓪᓗ ᓇᓗᓇᐃᖅᓯᓚᐅᙱᑦᑕᒥᓂᒃ. ᑕᐃᑦᑐᒥ ᐅᑭᐅᒥ ᐅᑎᖅᑐᖅ ᐃᓚᖓᓂᒡᓗ ᐊᓯᐅᔾᔨᓪᓗᓂ.
ᐃᑦᕗᑦ ᑐᐊᑉ ᑭᓘᑦ ᓴᓇᓐ (Claude Shannon)-ᓗ ᓯᕗᓪᓕᖅᐹᒥᒃ ᐊᑐᖅᑕᐅᔪᓐᓇᖅᑐᒥᒃ ᖃᕆᑕᐅᔭᒥᒃ ᓴᓇᔪᒃ ᕉᓚᑦ ᐊᖅᓴᖓᑕ ᓱᒃᑲᐃᓐᓂᖓᓂᒃ ᓈᓴᐃᓂᕐᒧᑦ. ᓴᓇᕐᕈᑎ ᐃᓛᓐᓂᒃᑯᑦ ᑭᓯᐊᓂ ᐊᐅᓚᑦᑎᔪᖅ; ᐱᓕᕆᐊᖅ ᖃᐃᓐᓇᖅᑕᐅᔪᖅ.
ᐃᐅᑎᒪᓐᔅ (Eudaemons) ᓴᓐᑕ ᑯᕉᔅᒥᑦ ᐃᔨᖅᓯᒪᔪᓂᒃ ᖃᕆᑕᐅᔭᓂᒃ ᓇᕙᑕ ᑳᓯᓄᖏᓐᓂ ᐊᑐᖅᑐᑦ. ᐱᐅᓂᖅᓴᐅᓂᖅ ᓱᓕᔪᖅ, ᐃᑯᒪᓕᐊᕆᔭᐅᔪᑦ ᑐᒃᓯᐅᑎᒋᔭᐅᔪᓐᓇᙱᑦᑐᑦ, ᑮᓇᐅᔭᐃᓪᓚᕆᓐᓂᖃᙱᑦᑐᖅ.
ᑯᓐᓴᓗ ᒑᓯᐊ ᐱᓛᔪ (Gonzalo García-Pelayo) ᐃᓚᒌᖏᓪᓗ ᐊᒃᓴᓗᐊᕐᒧᑦ 5,000 ᖃᓂᒋᔭᖏᓐᓂᒃ ᑲᐃᕙᕐᓂᓂᒃ ᑎᑎᕋᖅᑐᑦ ᒪᑦᕆᑦ ᖃᓂᒋᔭᖓᓂ, ᓴᖑᓯᒪᔪᓂᒃ ᐊᒃᓴᓗᐊᓂᒃ ᓇᓂᓯᓪᓗᑎᒃ, ᐊᔪᒐᖅᓗᑎᒃ, ᐱᙳᐊᖁᔭᐅᔾᔮᙱᓪᓗᑎᒃ, ᐱᙳᐊᖁᔭᐅᙱᓐᓂᖓᓗ ᐃᖅᑲᖅᑐᐃᕝᕕᒃᑯᑦ ᐲᖅᑕᐅᓪᓗᓂ.
ᐱᖓᓱᑦ ᐱᙳᐊᖅᑏᑦ £1.3 ᒥᓕᐊᓐᓂᒃ ᐊᔪᒐᖅᑐᑦ ᕆᑦᔅᒥ ᓚᓐᑕᓐᒥ ᐊᖅᓴᐅᑉ ᑎᑭᕝᕕᖓᓂᒃ ᓇᓚᐅᑦᑖᖅᓗᑎᒃ. ᓚᐃᓴ ᐅᖃᐅᓯᐅᓚᐅᖅᑐᖅ ᑭᓯᐊᓂ ᐱᑕᖃᕐᓂᖓ ᓇᓗᓇᐃᖅᑕᐅᓚᐅᙱᑦᑐᖅ; ᐊᔪᒐᕐᓂᑕᒥᓂᒃ ᐱᑕᖃᐃᓐᓇᖅᑐᑦ.
ᓯᒪᐅᓪ (Small) ᑕᓯᐅ (Tse)-ᓗ ᐊᐅᓚᓂᕐᒧᑦ ᑎᑎᕋᖅᓯᒪᔪᒥᒃ ᓴᖅᑭᑦᑎᔪᒃ ᓇᓗᓇᐃᖅᓯᓪᓗᑎᒃ ᐱᐅᓂᖅᓴᐅᓂᖅ ᐳᓴᓐᑎᑦ ᐊᒥᓲᙱᑦᑐᑦ ᐱᔭᐅᔪᓐᓇᕐᓂᖓᓂᒃ ᓱᒃᑲᐃᓐᓂᖏᑦ ᓈᓴᖅᑎᓪᓗᒋᑦ ᖃᐅᔨᓴᕐᕕᒻᒥ.
ᓱᒻᒪᑦ ᐊᐅᓚᑦᑎᓕᙱᓚ
ᑳᓯᓄᑦ ᐊᒃᓴᓗᐊᑉ ᖁᓛᖏᓐᓂᒃᐊᑐᖅᑕᐅᔪᑦᐊᒃᓴᓗᐊᑉ ᖁᓛᑲᐃᕙᖅᑐᖅ ᐊᓯᐊᓂ ᐊᑎᖓ: ᑲᐃᕙᖅᑐᖅ ᐃᓚᖓ ᓈᓴᐅᑎᓕᒃ.ᐃᓘᓐᓇᖓ ᐅᖃᓕᒫᕐᓗᒍ → ᐊᒃᓴᓗᐊᑉ ᐃᓪᓗᐊᖏᓐᓄᑦᐊᑐᖅᑕᐅᔪᑦᐊᒃᓴᓗᐊᑉ ᐃᓪᓗᐊᐊᒃᓴᓗᐊᑉ ᓯᓚᑖᓃᑦᑐᖅ ᐊᐅᓚᙱᑦᑐᖅ ᐃᓚᖓ: ᕿᔪᒻᒥᒃ ᐅᕝᕙᓘᓐᓃᑦ ᐊᓯᖏᓐᓂᒃ ᓴᓇᓯᒪᔪᖅ ᓯᓈ ᐊᖅᓴᐅᑉ ᐊᖁᑎᖓᓂᒃ ᐊᒃᓴᓗᐊᑉ ᐊᑖᓂᒡᓗ ᑎᒍᒥᐊᖅᑐᖅ, ᐃᓗᐊᓂ ᑲᐃᕙᖅᑐᖅ ᑲᐃᕙᖅᑐᖅ.ᐃᓘᓐᓇᖓ ᐅᖃᓕᒫᕐᓗᒍ → ᓅᑦᑎᕙᒃᑐᑦ, ᐃᓪᓗᐊᖏᓐᓂᒃ ᓇᓪᓕᒋᐊᖅᑎᑦᓯᓪᓗᑎᒃ, ᐃᓂᑦ ᓇᓪᓕᒃᑐᖅᓯᓪᓗᑎᒃ ᐃᓂᑦ ᐊᕕᒃᓯᒪᐅᑎᖏᓐᓂᒡᓗᐊᑐᖅᑕᐅᔪᑦᐃᓂᑦ ᐊᕕᒃᓯᒪᐅᑎᖓᓴᕕᒻᒥᒃ ᐊᕕᒃᓯᒪᐅᑎ ᐊᒃᓴᓗᐊᕐᒥ ᐃᓂᒃ ᒪᕐᕉᒃ ᐊᑯᓐᓂᖓᓂ.ᐃᓘᓐᓇᖓ ᐅᖃᓕᒫᕐᓗᒍ → ᐸᕐᓇᐅᑎᒥᒃ ᒪᓕᒃᓗᑎᒃ ᓴᓂᕝᕙᖅᓯᓪᓗᑎᒃ, ᑕᐃᒪ ᓴᖑᓯᒪᓂᖅ ᐲᖅᑕᐅᔪᖅ. ᑕᑯᔭᐅᔪᑦ ᐊᔾᔨᓕᐅᕐᕖᑦ ᐱᙳᐊᕈᑎᓕᐅᕐᓂᖅ ᐊᖅᓴᖅ ᓱᒃᑲᐃᓕᓚᐅᖅᑎᓐᓇᒍ ᒪᑐᔪᑦ ᑕᑯᓐᓇᕈᑎᓪᓗ ᑭᖑᕙᕆᐊᖅᑐᓂᖓᓂᒃ ᐋᖅᑭᒃᓯᓪᓗᑎᒃ, ᑕᐃᒪ ᓱᒃᑲᐃᓐᓂᕐᒥᒃ ᓈᓴᐃᓂᖅ ᐲᖅᑕᐅᔪᖅ. ᓄᓇᑦ ᐊᒥᓲᖏᑦ ᓇᓚᐅᑦᑖᕈᑏᑦ ᓴᓇᕐᕈᑏᑦ ᐊᑐᖅᑕᐅᓂᖏᓐᓂᒃ ᐱᕋᔭᒃᑐᓂᐅᓕᖅᑎᑦᓯᔪᑦ. ᐱᙳᐊᖅᑎᑦᓯᔩᑦ ᐊᖅᓴᖅ ᐊᔾᔨᒌᙱᑦᑐᒥᒃ ᐱᕙᓪᓕᐊᑎᑦᓯᖁᔭᐅᔪᑦ. ᓱᓕᔪᖅ ᑭᐅᔾᔪᑎ ᒫᓐᓇᐅᔪᒧᑦ ᐋᖅᑭᒃᑕᐅᕙᒃᑐᒧᑦ ᐊᒃᓴᓗᐊᕐᒧᑦ ᐱᓐᓇᐅᑎᓕᒻᒥ ᑳᓯᓄᒥ ᐅᕝᕙᓘᓐᓃᑦ ᐊᔾᔨᓕᐅᕐᕕᒻᒥ: ᐊᐅᓚᑦᑎᙱᑦᑐᖅ.
ᕉᓚᑦᒥᒃ ᖃᓄᖅ ᐊᔪᖅᑎᑦᓯᔪᓐᓇᕐᓂᖅ, ᐃᓱᒪᒃᑯᑦ ᑭᓯᐊᓂ: ᓱᓇᒥᒃ ᐱᔭᕆᐊᖃᕐᓂᐊᖅᐸ
ᐃᓂ 33-ᓂ 1-ᒥ ᐊᔪᒐᖅᐸᒃᑐᖅ ᐃᓱᒪᒋᓗᒍ, 37-ᓂ 1-ᐅᙱᑦᑐᖅ. ᐊᑕᐅᓯᕐᒧᑦ ᐱᙳᐊᕈᑎᐱᙳᐊᕈᑎᐊᑕᐅᓯᕐᒧᑦ ᐱᙳᐊᕈᑎᓈᓴᐅᑎ ᐊᑕᐅᓯᖅ, ᐊᑭᓕᐅᑎ 35:1.ᐃᓘᓐᓇᖓ ᐅᖃᓕᒫᕐᓗᒍ → ᑕᐃᑦᑐᒧᑦ EV = 35/33 − 32/33 = +3/33 ≈ +9%. ᐃᓂ ᓴᖑᓯᒪᓂᖓᓂᒃ ᖃᐅᔨᓂᐊᕐᓗᒍ, ᐱᔪᓐᓇᕐᓂᐅᓇᓂ, ᑕᐃᑦᑐᒥᑦ ᐊᒃᓴᓗᐊᕐᒥᑦ 10,000 ᖃᓂᒋᔭᖏᓐᓂᒃ ᑲᐃᕙᕐᓂᓂᒃ ᑎᑎᕋᖅᓯᒪᔪᓂᒃ ᐱᔭᕆᐊᖃᖅᑐᑎᑦ; ᐊᑐᕈᓐᓇᕐᓂᐊᕐᓗᒍ ᐊᒃᓴᓗᐊᖅ ᐊᓯᑦᑐᙱᑦᑐᖅ ᐱᔭᕆᐊᖃᖅᑐᖅ ᐱᙳᐊᕈᑎᓕᐅᖅᑎᓪᓗᑎᑦ. ᖃᐅᔨᓴᕐᕕᒃ ᒪᑉᐱᒐᖏᑦ ᓈᓴᐃᓂᖏᓐᓂᒃ ᓇᓗᓇᐃᖅᓯᔪᑦ; ᐱᐅᓯᑐᖃᖅ ᒪᑉᐱᒐᖏᑦ ᑕᐃᒪᐃᓕᐅᖅᓯᒪᔪᑦ ᖃᓄᐃᓕᖓᓚᐅᕐᓂᖏᓐᓂᒃ ᓇᓗᓇᐃᖅᓯᔪᑦ.

ᓱᓕᔪᖅ ᑭᐅᔾᔪᑎ
ᐅᖃᓕᒫᖅᑎᒧᑦ ᐸᕐᓇᐅᑎᓕᒻᒧᑦ: ᐊᐅᓚᑦᑎᓂᐊᙱᑦᑐᖅ, ᐅᕙᓂᓗ ᐊᔾᔨᐅᖅᑕᐅᑏᑦ ᐊᑐᕐᓗᒋᑦ ᐅᓐᓄᓴᒃᑯᑦ ᖃᐅᔨᓴᕈᓐᓇᖅᑐᑎᑦ. ᐅᖃᓕᒫᖅᑎᒧᑦ ᑎᑎᕋᐅᓯᐊᓕᒻᒧᑦ ᓂᒡᓕᓇᐃᓪᓕᓂᓕᒻᒧᓪᓗ: ᓴᖑᓯᒪᓂᖅ ᐃᓱᒪᒃᑯᑦ ᐱᑕᖃᖅᑐᖅ ᐱᓕᕆᓂᒃᑯᓪᓗ ᐲᖅᑕᐅᕙᒃᓗᓂ. ᑕᒪᐃᓐᓄᑦ: ᕉᓚᑦ ᓂᐅᕕᕐᓂᐅᔪᖅ. ᐊᑭᖓᓂᒃ ᖁᕕᐊᒋᔭᕐᓂᒃ ᐊᑭᓕᕐᓗᑎᑦ, ᓱᒃᑲᐃᓐᓂᖓᓂᒃ ᓇᓚᐅᑦᑖᖅᑕᕐᓂᒃ, ᐊᒃᓴᓗᐊᕐᒥ ᐊᑕᐅᓯᕐᒥᒃ ᓯᕉᓕᒻᒥᐊᒃᓴᓗᐊᖅᓯᕉᐊᑕᐅᓯᖅ ᐅᔾᔪᐊᕌᔭᒃ ᐃᓂ ᐊᔾᔨᒌᒃᑐᒥᒃ ᐊᑭᓕᐅᑎᓕᖕᓄᑦ, ᑕᓴᓐᓄᑦ ᓇᑉᐸᖅᑐᓄᓪᓘᓐᓃᑦ ᐱᙳᐊᕈᑏᑦ ᐃᓚᐅᑎᙱᑕᖓ; ᑳᓯᓅᑉ ᐃᓚᖓᑕ ᐱᓇᓪᓗᑎᖓ. ᐊᓯᐊᓂ ᐊᑎᖏᑦ: ᐊᑕᐅᓯᖅ ᓯᕉ, 0.ᐃᓘᓐᓇᖓ ᐅᖃᓕᒫᕐᓗᒍ → ᓚ ᐸᕐᑕᔾᒪᓕᒐᖅᓚ ᐸᕐᑕᔾᕖᓇᓯ ᒪᓕᒐᖓ: ᓯᕉ ᐊᔪᒐᖅᐸᑦ, ᐊᔾᔨᒌᒃᑐᒥᒃ ᐊᑭᓕᐅᑎᓕᒃ ᐱᙳᐊᕈᑎ ᑮᓇᐅᔭᖓᑕ ᕿᑎᖓ ᐅᑎᖅᑎᑕᐅᔪᖅ. ᑕᐃᒃᑯᓂ ᐱᙳᐊᕈᑏᓐᓂ ᑳᓯᓅᑉ ᐃᓚᖓ ᕿᑎᐊᓄᑦ ᒥᑭᓕᒋᐊᖅᑎᑕᐅᔪᖅ, 1.35%-ᒧᑦ.ᐃᓘᓐᓇᖓ ᐅᖃᓕᒫᕐᓗᒍ →-ᓕᒻᒥᓗ ᓇᓂᓯᒍᕕᑦ.
ᐊᐱᖅᑯᑏᑦ
ᐱᑕᖃᙱᑦᑐᖅ. ᐸᕐᓇᐅᑎᒃᑯᑦ “ᐊᔪᒐᖅᑐᑦ” ᑐᓴᐅᒪᔭᐅᔪᑦ, ᓵᓪᔅ ᐅᐊᓪᔅᑎᑐᑦ, ᐱᔪᓐᓇᕐᓂᒃᑯᑦ ᐊᔪᒐᓚᐅᖅᑐᑦ ᐃᓚᖓᓂᒡᓗ ᐊᓯᐅᔾᔨᓪᓗᑎᒃ.
ᐃᓱᒪᒃᑯᑦ. ᒫᓐᓇᐅᔪᒥ ᑳᓯᓄᒥ ᐅᕝᕙᓘᓐᓃᑦ ᐊᔾᔨᓕᐅᕐᕕᒻᒥ ᓇᓂᔭᐅᓗᓂ ᐋᖅᑭᒃᑕᐅᓂᐊᖅᑐᖅ ᐊᑐᕈᓐᓇᕐᓂᕐᒧᑦ ᓈᒻᒪᒃᑐᓂᒃ ᑎᑎᕋᖅᓯᒪᔪᓂᒃ ᐱᓚᐅᖅᑎᓐᓇᒋᑦ.
ᐊᒥᓱᓂ ᓄᓇᓂ ᐊᖏᖅᑕᐅᙱᑦᑐᑦ, ᐊᒻᒪ ᑕᑯᔭᐅᔪᓂ ᐱᙳᐊᕐᕖᓐᓂ ᐊᖅᓴᖅ ᓱᒃᑲᐃᓕᓚᐅᖅᑎᓐᓇᒍ ᐱᙳᐊᕈᑎᓕᐅᕐᓂᖅ ᒪᑐᔪᓂ ᐊᑐᕈᓐᓇᙱᑦᑐᑦ.
ᐃᓪᓗᕐᓇᖅᑐᖅ ᐊᔾᔨᓕᐊᖅ

ᐊᐅᓚᓂᖓ, ᐊᕕᒃᓯᒪᓂᖏᑦ ᐅᙱᑦᑐᑦ. ᒫᓐᓇᓗ ᑕᐃᒪᐃᓕᙱᑦᑐᖅ.
ᐱᕝᕕᒋᔭᐅᔪᑦ
- RouletteDoc. Roulette strategies overview.
- Roulette77. Roulette strategies overview.
- Thorp, E. O. “Optimal gambling systems for favorable games.”
- Thorp, E. O. Elementary Probability.
- Doob, J. L. “Note on probability.”
- Halmos, P. R. “Invariants of certain stochastic transformations: the mathematical theory of gambling systems.”
- Bass, T. A. The Eudaemonic Pie.
- Small, M. & Tse, C. K. “Predicting the outcome of roulette.”
- Barnhart, R. T. Beating the Wheel.
- Chellel, K. “The Gambler Who Beat Roulette.”