ᓱᒃᑲᐃᓐᓂᕆᓕᕐᓂᖅ
ᑲᐃᕙᕐᓂᐅᑉ ᐃᓚᖓ ᐊᑕᐅᓯᖅ ᓱᓕᓪᓚᕆᒃᑐᒥᒃ ᓇᓚᐅᑦᑖᖅᑕᐅᔪᓐᓇᖅᑐᖅ.

ᐊᖁᑎᒥ ᐊᖅᓴᐅᑉ ᓱᒃᑲᐃᓐᓂᕆᓕᕐᓂᖓ ᒪᓕᒃᑐᖅ ᐊᓯᑦᑐᐃᓐᓇᖅ ᐊᐅᓚᓂᕐᒥᒃ ᐊᑦᑐᐃᓂᕐᒧᑦ ᓯᓚᐅᓪᓗ ᓄᖅᑲᐃᓂᖓᓄᑦ ᐋᖅᑭᒃᑕᐅᓯᒪᔪᒥᒃ. ᐊᒃᓴᓗᕐᓃᑦ ᐊᒥᓲᙱᑦᑐᑦ ᐊᑯᓂᐅᓂᖏᓐᓄᑦ ᑲᑦᑕᕐᓂᐅᑉ ᐱᕕᖓ ᓇᓚᐅᑦᑖᖅᑕᐅᔪᓐᓇᖅᑐᖅ ᓯᑭᓐ ᐃᓚᖓᓄᑦ. ᑭᖑᓂᖓᓂ ᓯᐊᒻᒪᕐᓂᖅ ᑕᐃᑉᓱᒪ ᓱᓕᑦᑎᐊᕐᓂᖓᑕ ᐊᒥᓲᓂᖓᓂᒃ ᓱᕋᐃᔪᖅ.
ᐊᐅᓚᓂᐅᑉ ᐋᖅᑭᒃᓯᒪᓂᖓ
ᐊᖅᓴᖅᐊᑐᖅᑕᐅᔪᑦᐊᖅᓴᖅᒥᑭᔪᖅ ᐊᖅᓴᖅ ᐊᖁᑎᖓᓂ ᑲᐃᕙᖅᑐᑉ ᐊᑉᐱᖓᓄᑦ ᐃᒋᑕᐅᔪᖅ. ᒫᓐᓇᐅᔪᖅ ᐊᖅᓵᑦ ᐃᕗᕆᓐ ᐅᕝᕙᓘᓐᓃᑦ ᑎᕙᓚᓐ, 18–21 mm.ᐃᓘᓐᓇᖓ ᐅᖃᓕᒫᕐᓗᒍ → ᓱᒃᑲᐃᓕᖅᐸᓪᓕᐊᔪᖅ ᐃᓱᒪᒋᓗᒍ ᐊᓯᑦᑐᙱᑦᑐᒧᑦ ᐃᓚᖓᓄᑦ a (ᐊᒃᓴᓗᕐᓂᕐᒥ ᐊᑦᑐᐃᓂᖅ) ᐃᓚᖓᓄᓪᓗ ᓱᒃᑲᐃᓐᓂᖓᓄᑦ ᒪᓕᒃᑐᒧᑦ b·v (ᓯᓚᐅᑉ ᓄᖅᑲᐃᓂᖓ ᓱᒃᑲᐃᓐᓂᖓᓄᓪᓗ ᑐᙵᕕᓖᑦ ᐊᓯᐅᔾᔨᓂᐅᑉ ᐊᓯᖏᑦ): dv/dt = −(a + bv). ᑭᐅᔾᔪᑎᖓ ᐊᖏᒡᓕᕙᓪᓕᐊᔪᒥᒃ ᐊᑦᔨᐅᑎᓕᒃ ᖃᓂᓕᖅᐸᓪᓕᐊᓂᖅ ᑭᒡᓕᐊ ᑲᑦᑕᕐᓂᐅᑉ ᓱᒃᑲᐃᓐᓂᖓᓄᑦ. ᑕᐃᒪᐃᒻᒪᑦ ᐊᒃᓴᓗᕐᓂᐅᑉ ᐊᑯᓂᐅᓂᖓ T = 2πr/v ᐊᒃᓴᓗᕐᓂᕐᒥ ᑕᒪᑐᒪᓂ ᐊᖏᒡᓕᕙᓪᓕᐊᔪᒥᒃ ᐊᑦᔨᐅᑎᒥᒃ ᐊᖏᒡᓕᕙᒃᑐᖅ. ᓯᕗᓪᓕᖅᐹᑦ ᐊᒃᓴᓗᕐᓃᑦ ᐊᒥᓲᙱᑦᑐᑦ ᐊᑐᕐᓗᒋᑦ a b-ᓗ ᓇᓂᓯᓗᒋᑦ, ᐊᒃᓴᓗᕐᓃᓪᓗ ᐱᑕᖃᖅᑐᑦ ᑲᑦᑕᕐᓂᐅᓪᓗ ᐱᕕᖓ ᒪᓕᒐᔪᒃᑐᑦ. ᑕᒪᓐᓇ ᑐᑭᓯᓇᓗᐊᙱᑦᑐᖅ ᐱᑕᖃᙱᑦᑐᖅ; ᓯᕗᓪᓕᖅᐹᒥ ᐊᕐᕌᒎᑉ ᐃᓕᓐᓂᐊᕐᓂᐅᑉ ᐊᐅᓚᓂᕐᒥᒃ ᐃᓕᓐᓂᐊᕐᓂᖓ ᐊᖅᓴᕐᒧᑦ ᐊᖁᑎᒥ ᐊᑐᖅᑕᐅᔪᖅ.
ᓇᓚᐅᑦᑖᕐᓂᖅ ᓱᓇᒥᒃ ᑐᓂᓯᕙ
ᑲᑦᑕᕐᓂᐅᑉ ᐱᕕᖓ 0.2 ᓯᑭᓐᓄᑦ ᓱᓕᑦᑎᐊᖅᑐᖅ, ᑲᐃᕙᖅᑐᑉᐊᑐᖅᑕᐅᔪᑦᑲᐃᕙᖅᑐᖅᐊᒃᓴᓗᐊᑉ ᑲᐃᕙᖅᑐᖅ ᐃᓚᖓ ᐃᓂᓂᒃ ᐃᓗᓕᓕᒃ.ᐃᓘᓐᓇᖓ ᐅᖃᓕᒫᕐᓗᒍ → ᓱᒃᑲᐃᓐᓂᖓᓄᑦ 15 ᐃᓂᓄᑦᐊᑐᖅᑕᐅᔪᑦᐃᓂᑲᐃᕙᖅᑐᒥ 37 ᓈᓴᐅᑎᓕᑦ ᐃᓂᑦ ᐊᑕᐅᓯᖓ. ᐊᓯᐊᓂ ᐊᑎᖏᑦ: ᐃᓂᒋᐊᖅ, ᖃᓪᓗᐊᖅ.ᐃᓘᓐᓇᖓ ᐅᖃᓕᒫᕐᓗᒍ → ᓯᑭᓐᒧᑦ ᑲᑎᑦᑐᒋᑦ, ᑲᑦᑕᕐᕕᐅᑉ ᐊᑖᓃᑦᑐᖅ ᐃᓂ ᓇᓂᓯᔪᓐᓇᖅᑕᖓ ᐊᒡᒐᖓ ᐱᖓᓱᓄᑦ ᐃᓂᓄᑦ. ᑕᒪᓐᓇ ᓇᓚᐅᑦᑖᖅᑎᒧᑦ ᐱᐅᔪᖅ ᑐᓴᒐᒃᓴᖅ. ᐱᐅᙱᑦᑐᖅ ᑐᓴᒐᒃᓴᖅ ᐅᓇ: ᑭᖑᓂᐊᒍᑦ ᐊᖅᓴᖅ ᐊᒃᓴᓗᐊᑉ ᐊᑖᒍᑦᐊᑐᖅᑕᐅᔪᑦᐊᒃᓴᓗᐊᑉ ᐊᑖᐃᓂ ᐅᖓᓯᒃᑐᖅ ᐊᖅᓴᐅᑉ ᐊᖁᑎᖓᑕ ᐃᓂᓪᓗ ᐊᑯᓐᓂᖓᓐᓂ, ᐊᖅᓴᐅᑉ ᓇᒻᒥᓂᖅᓯᐅᑎᖏᑦ ᐃᓂᖃᕐᕕᖏᑦ.ᐃᓘᓐᓇᖓ ᐅᖃᓕᒫᕐᓗᒍ → ᐃᑳᖅᑐᖅ, ᐊᖅᓴᐅᑉ ᓇᒻᒥᓂᖅᓯᐅᑎᖓᓄᑦᐊᑐᖅᑕᐅᔪᑦᐊᖅᓴᐅᑉ ᓇᒻᒥᓂᖅᓯᐅᑎᖓᓴᕕᒻᒥᒃ ᓴᓇᓯᒪᔪᑦ ᐊᑉᐱᕆᒐᒃᓴᐃᑦ ᐊᒃᓴᓗᐊᑉ ᐊᑖᓃᑦᑐᑦ ᐊᑕᐅᓯᖓ, ᐊᑦᑎᖅᑐᖅ ᐊᖅᓴᖅ ᓇᒻᒥᓂᖅᓯᔭᖅᑎᑕᖏᑦ. ᐊᓯᐊᓂ ᐊᑎᖏᑦ: ᕿᔭᖅᐸᒃ, ᓯᑕᒪᐅᓕᐊᖅ, ᑭᑦᑐᖅᓯᐅᑎ.ᐃᓘᓐᓇᖓ ᐅᖃᓕᒫᕐᓗᒍ → ᐊᒃᑐᐃᔪᖅ ᐃᓂᑦ ᐊᕕᒃᓯᒪᐅᑎᖏᓐᓂᓪᓗᐊᑐᖅᑕᐅᔪᑦᐃᓂᑦ ᐊᕕᒃᓯᒪᐅᑎᖓᓴᕕᒻᒥᒃ ᐊᕕᒃᓯᒪᐅᑎ ᐊᒃᓴᓗᐊᕐᒥ ᐃᓂᒃ ᒪᕐᕉᒃ ᐊᑯᓐᓂᖓᓂ.ᐃᓘᓐᓇᖓ ᐅᖃᓕᒫᕐᓗᒍ → ᓂᑯᕕᓪᓚᑦᑕᖅᑐᖅ, ᑭᖑᓪᓕᖅᐹᖅ ᐃᓂᓗ ᐊᕕᒃᓯᒪᓂᖏᓐᓂ 20-ᒥᑦ 30-ᒧᑦ ᐃᓂᓂᒃ ᓯᓕᑎᓂᓕᒻᒥ ᓯᐊᒻᒪᕐᓯᒪᔪᖅ. ᐊᖁᑎᒥ ᐃᓚᖓᑕ ᓱᓕᑦᑎᐊᕐᓂᖓ ᐊᒥᓲᓂᖓ ᑲᑦᑕᕐᓂᐅᑉ ᐃᓚᖓᑕ ᓯᐊᒻᒪᕐᓂᖓᓄᑦ ᓱᕋᒃᑕᐅᔪᖅ.
ᓱᓇ ᐱᑕᖃᐃᓐᓇᖅᐸ
ᓯᐊᒻᒪᕐᓂᐅᑉ ᐊᕕᒃᓯᒪᓂᖏᑦ ᐊᒥᓲᓂᖅᐹᖃᖅᐸᑕ, ᐊᖅᓴᖅ ᑲᑦᑕᕐᕕᐅᑉ ᐃᓂᖓᑕ ᖃᓂᒋᔮᓂ ᓄᖅᑲᖅᐸᒃᐸᑦ ᐱᔪᓐᓇᕐᓂᒃᑯᑦ ᐊᓯᑦᑐᕐᓂᕐᒥᑦ ᐊᒥᓲᓂᖅᓴᓂ, ᑕᐃᒪ ᓇᓚᐅᑦᑖᖅᑕᐅᓯᒪᔪᑉ ᐃᓂᐅᑉ ᖃᓂᒋᔮᓂ ᐊᒃᓴᓗᐊᑉ ᐃᓚᖓᓄᑦᐊᒃᓴᓗᐊᖅᐊᒃᓴᓗᐊᑉ ᐃᓚᖓᐊᒃᓴᓗᐊᕐᒥ ᐃᓂᑦ ᓴᓂᓕᐅᑎᒌᒃᑐᑦ ᑲᑎᑦᑐᑦ, ᐱᙳᐊᕈᑎᓕᕆᕝᕕᖕᒥ ᑲᑎᑦᑐᓂᑦ ᐊᔾᔨᒋᙱᑦᑐᑦ.ᐃᓘᓐᓇᖓ ᐅᖃᓕᒫᕐᓗᒍ → ᐱᙳᐊᕈᑎᓕᐅᕐᓂᖅ ᒥᑭᔪᒥᒃ ᐱᐅᓂᖅᓴᐅᓂᕐᒥᒃ ᑐᓂᓯᔪᖅ. ᔅᒪᐅᓪ ᑦᓯᐅᓗ (Small and Tse) (2012) ᑕᒪᓐᓇ ᖃᐅᔨᓴᕐᕕᒻᒥ ᓈᓴᓚᐅᖅᑕᖏᑦ ᐊᔾᔨᓕᐅᕈᑎᒥᒃ ᐊᑐᓪᓗᑎᒃ, ᓇᓂᓯᓪᓗᑎᒡᓗ ᓇᓚᐅᑦᑖᖅᑕᐅᓯᒪᔪᑦ ᐊᒃᓴᓗᐊᑉ ᐃᓚᖏᑦ ᐊᒃᑐᖅᑕᐅᓂᖏᑦ ᐊᒥᓱᓗᐊᕐᓂᖏᓐᓂᒃ ᑳᓯᓅᑉ ᐃᓚᖓᓈᓴᐃᓂᖅᑳᓯᓅᑉ ᐃᓚᖓᐱᙳᐊᕈᑎ ᐊᑐᓂ ᑳᓯᓅᑉ ᐊᔾᔨᒌᒃᑎᓪᓗᒋᑦ ᐱᓯᒪᓂᖅᓴᖅᑕᖓ: ᐃᐅᕌᐸ ᕉᓚᑦᒥ 2.70%.ᐃᓘᓐᓇᖓ ᐅᖃᓕᒫᕐᓗᒍ → ᐱᙳᐊᖅᑎᐅᑉ ᐃᓚᖓᓄᑦ ᐳᓴᓐᑎᓂᒃ ᐊᒥᓲᙱᑦᑐᓂᒃ ᐊᓯᑦᑐᖅᑎᑦᓯᔪᓐᓇᕐᓂᐊᕐᒪᑦ. ᐱᓕᕆᓂᖏᑦ, ᖁᓛᓂᑦ ᐃᓘᓐᓇᖓᓂᒃ ᑕᑯᓐᓇᕐᓂᖅ, ᖃᐅᔨᒪᔭᐅᔪᖅ ᐊᒃᓴᓗᐊᖅ, ᐱᙳᐊᕈᑏᓪᓗ ᐊᖅᓴᖅ ᐱᖃᑦᑕᖅᑕᐅᔪᖅ ᑭᖑᓂᖓᓂ ᐃᓕᔭᐅᔪᑦ, ᑕᑯᔭᐅᔪᒥ ᐱᙳᐊᕐᕕᒻᒥ ᐱᑕᖃᙱᑦᑐᑦ.
ᓱᓇ ᐊᓯᑦᑐᖅᐸᒃᐸ ᐃᑲᕐᕋᒥᑦ ᐃᑲᕐᕋᒧᑦ
ᒪᕐᕉᒃ ᐊᓯᑦᑐᙱᑦᑐᑦ ᓈᓴᐅᑏᒃ ᐊᒃᓴᓗᐊᕐᒧᑦ ᐋᖅᑭᒃᓯᒪᐃᓐᓇᙱᑦᑐᒃ. ᔫᑎᒪᓐᔅ (Eudaemons), ᑳᓯᓄᐅᑉ ᐊᒃᓴᓗᐊᖓᓂᒃ ᐊᕐᕌᒍᓂ ᐊᒥᓱᓂ 1970-ᖏᓐᓂ ᐊᑯᓂᐅᓂᖓᒍᑦ ᓈᓴᐃᓚᐅᖅᑐᑦ, ᓇᓂᓯᓚᐅᖅᑐᑦ ᓯᓚ ᐊᖅᓴᖅ ᓱᒃᑲᐃᓕᖅᑎᑦᑎᓂᖅᐹᖑᓂᖓᓂᒃ, ᐊᖁᑎᒥᑦ ᐊᒥᓲᓂᖅᓴᒥᒃ, ᐊᖅᓴᐅᓪᓗ ᐱᒻᒪᕆᐅᓂᖓᓂᒃ: ᑕᕝᕖᓗᓐ ᐊᖅᓴᖅ ᓱᒃᑲᐃᓐᓂᖓᓂᒃ ᒪᕐᕉᕆᐊᖅᓗᒍ ᓱᒃᑲᐃᓂᖅᓴᒥᒃ ᐊᓯᐅᔾᔨᓚᐅᖅᑐᖅ ᐱᓕᐊᔅ ᐊᖅᓴᖓᑕ ᓴᓇᓯᒪᓂᖓᓂᒃ ᓴᓇᔭᐅᓯᒪᔪᒥᑦ. ᑕᑯᓚᐅᖅᑐᑦ ᑕᐅᑦᑐᖓᓂ ᓇᓚᐅᑦᑖᕐᓂᖏᑦ 5-ᒥᑦ 10%-ᒧᑦ ᐃᑲᕐᕋᒧᑦ ᐊᓯᑦᑐᕐᓂᖏᓐᓂᒃ ᒪᑐ ᐅᒃᑯᐃᖅᑕᐅᒃᐸᑦ ᓯᓚᓗᓐᓃᑦ ᐊᓯᑦᑐᖅᐸᑦ, ᒪᓴᖕᓂᖅ ᐅᑯᒃᑐᓂᖅᓴᐅᔪᖅ ᓯᓚᓗᓐᓃᑦ ᐊᖅᓴᖅ ᓯᕗᓂᖅᓴᒥ ᓱᒃᑲᐃᓕᖅᑎᑦᑕᖓ. ᑕᐃᒪᐃᒻᒪᑦ ᐱᒋᐊᕈᑎᖏᑦ ᐋᖅᑭᒃᓯᒪᓂᖏᓐᓂᒃ ᐊᕕᒃᓯᒪᔪᓂᒃ ᐱᑕᖃᖅᑎᑦᑎᓚᐅᖅᑐᖅ ᐊᖅᓴᐅᑉ ᓱᒃᑲᐃᓕᕐᓂᖓᑕ ᐊᑦᔨᐅᑎᖓᓄᑦ ᐊᖁᑎᒥᓪᓗ ᐊᓂᓂᐅᑉ ᓱᒃᑲᐃᓐᓂᖓᓄᑦ, ᐱᙳᐊᖅᑎᓗ ᒪᕐᕉᒃ ᐋᖅᑭᒋᐊᖅᓯᕙᓚᐅᖅᑕᖏᒃ ᐱᙳᐊᕐᕕᒻᒥ ᑕᒪᑐᒪᓂ ᓇᓚᐅᑦᑖᕐᓂᖏᓪᓗ ᐊᓯᑦᑐᓕᖅᐸᑕ.
ᓱᖕᒪᑦ ᖃᐅᔨᓴᕐᕕᒃ ᑕᒪᓐᓇ ᓇᓗᓇᐃᖅᓯᕙ
ᑭᓇᑐᐃᓐᓇᖅ ᐱᓕᕆᔪᓐᓇᕐᓂᐊᕐᒪᑦ ᐱᓇᓂ. ᐱᙳᐊᕐᓂᐅᑉ ᐱᔪᓐᓇᕐᓂᒃᑯᑦ ᐊᓯᑦᑐᕐᓂᖓ ᓱᓕᓪᓚᕆᒃᑐᒥᒃ ᓱᓇᒥᒃ ᐃᓗᓕᖃᕐᓂᖓᓂᒃ ᑕᑯᑎᑦᓯᓂᐊᕐᒪᑦ: ᓇᓚᐅᑦᑖᖅᑕᐅᔪᓐᓇᖅᑐᖅ ᐃᓚᖓ ᑳᓯᓄᐃᑦ ᓴᐳᔾᔭᖓ ᐱᙳᐊᕈᑎᓕᐅᕐᓂᖅ ᓯᕗᓂᖅᓴᒥ ᓄᖅᑲᖅᑎᑦᓗᒍ ᒥᑭᓛᓂᒡᓗ ᐊᒃᓴᓗᕐᓂᓂᒃ ᐱᔭᕆᐊᖃᖅᑎᑦᓯᓪᓗᑎᒃ, ᐋᖅᑭᒃᓯᒪᙱᑦᑐᖅ ᐃᓚᖓᓗ ᓴᐳᔾᔭᖓ ᐊᖅᓴᐅᑉ ᓇᒻᒥᓂᖅᓯᐅᑎᖏᓐᓄᑦ ᐳᒃᑭᔪᓄᓪᓗ ᐃᓂᑦ ᐊᕕᒃᓯᒪᐅᑎᖏᓐᓄᑦ. ᐱᙳᐊᖅᑎ ᑕᒪᓐᓇ ᑐᑭᓯᒋᔭᖃᖅᑐᖅ ᑐᑭᓯᔪᖅ ᓱᖕᒪᑦ 2.70% ᓴᐳᔾᔭᐅᓯᒪᓂᖓᓂᒃ.
ᓈᓴᐃᓂᖅ ᐃᓕᑦᑎᓐᓂᒃ
ᑕᑯᔭᐅᔪᒥ ᑕᑯᑎᑦᑎᓂᕐᒥ ᓇᓕᐊᒥᑐᐃᓐᓇᖅ ᐊᖅᓴᖅ ᐊᖅᓴᐅᑉ ᓇᒻᒥᓂᖅᓯᐅᑎᖓᓂᒃ ᐊᓂᒍᕐᓂᖓᓂ ᐱᖓᓱᓂ ᐊᒃᓴᓗᕐᓂᓂ ᐊᑯᓂᐅᓂᖓᒍᑦ ᓈᓴᕐᓗᒍ ᓯᕗᓂᒃᓴᖓᓗ ᓇᓚᐅᑦᑖᕐᓗᒍ; ᐊᒡᒐᖓ ᑲᑦᑕᕐᓂᖓᓂᑦ ᐊᒃᓴᓗᕐᓂᕐᒥᒃ ᐊᑕᐅᓯᕐᒥᒃ ᐅᖓᓯᒃᑎᒋᓂᖅᓴᐅᙱᑦᑐᒥ ᐃᓂᖃᕐᓂᐊᖅᑐᑎᑦ, ᑕᒪᓐᓇ ᓇᓚᐅᑦᑖᖅᑕᐅᔪᓐᓇᖅᑐᖅ ᐃᓚᖓ ᓇᓗᓇᐃᖅᑕᐅᓯᒪᔪᑐᑦ ᐊᐅᓚᔪᖅ. ᑕᐃᒪ ᐊᖅᓴᖅ ᓇᐅᓐᓂᒃ ᓄᖅᑲᕐᓂᖓ ᑕᑯᓗᒍ ᑲᑦᑕᕐᕕᐅᑉ ᐊᑖᓃᑦᑐᒧᑦ ᐃᓂᒧᑦ ᓇᓪᓕᒋᔭᐅᓪᓗᓂ, ᑲᐃᕙᕐᓂᓂᓪᓗ ᖁᓕᑦ ᑕᓪᓕᒪᕆᐊᖅᓗᒋᑦ ᓈᓴᐃᓪᓗᑎᑦ ᑎᑎᕋᐃᓗᑎᑦ. ᑎᑎᕋᖅᑕᑎᑦ ᓯᐊᒻᒪᕐᓂᐅᑉ ᐊᕕᒃᓯᒪᓂᖏᑦ, ᓯᓕᑎᓂᖓᓗ “ᓱᖕᒪᑦ ᑕᒪᓐᓇ ᐊᔪᓕᖅᑕᐅᔪᓐᓇᙱᓚ?” ᑭᐅᔾᔪᑎᖓ.

ᓈᓴᐅᑎᓕᐅᕈᑎ
ᐊᐱᖅᑯᑏᑦ
ᐋᒃᑲ. ᐊᑦᑐᐃᓂᖅ ᐊᓯᑦᑐᖅᐸᒃᑐᖅ ᐳᔪᒧᑦ, ᓯᓚᐅᑉ ᒪᓴᖕᓂᖓᓄᑦ ᐊᑐᓪᓗᐊᕆᐊᖅᑕᐅᓂᖓᓄᓪᓗ. ᓇᓚᐅᑦᑖᖅᑏᑦ ᑲᐃᕙᕐᓂᕐᒥ ᑕᒪᑐᒪᓂ ᓇᓂᓯᒋᐊᖅᐸᒃᑐᑦ.
ᐱᖓᓱᑦ ᓇᓚᐅᑦᑖᕐᓂᕐᒥᒃ ᓱᓕᑦᑎᐊᓗᐊᙱᑦᑐᒥᒃ ᑐᓂᓯᔪᑦ; ᑕᓪᓕᒪᑦ ᐱᖓᓲᔪᖅᑐᓪᓘᓐᓃᑦ ᐱᐅᔪᒥᒃ. ᐊᔾᔨᓕᐅᕐᕕᐃᑦ ᒥᑭᓛᖓ ᓯᑕᒪᑦ ᐱᙳᐊᕈᑎᓕᐅᕐᓂᕐᒧᑦ ᐱᕕᒃᓴᖃᓗᐊᖅᑎᑦᑎᙱᑦᑐᖅ, ᐱᙳᐊᕈᑎᓕᐅᕐᓂᕐᓗ ᓄᖅᑲᖅᑎᑕᐅᓯᒪᐃᓐᓇᖅᑐᖅ.
ᐊᒥᓲᙱᑦᑐᑦ, ᐊᑯᓂᐅᓗᐊᙱᑦᑐᒥ, ᓴᓇᕐᕈᑎᓂᒃ ᐊᑐᓪᓗᑎᒃ, ᑳᓯᓄᐃᑦ ᐊᓯᑦᑐᖅᑎᑦᓯᓚᐅᖏᓐᓂᖏᓐᓂ ᒪᓕᒐᐃᓪᓗ ᒪᓕᓚᐅᖏᓐᓂᖏᓐᓂ. ᐱᐅᓂᖅᓴᐅᓂᕐᒥᒃ ᕿᓂᕐᓂᖅ ᑕᑯᓗᒍ.
ᓈᓴᐃᓂᕐᒥᒃ ᐱᙳᐊᕐᓂᖅ
ᓯᕗᓪᓕᐅᓪᓗᓂ ᐃᓕᖕᓂᒃ ᐆᒃᑐᕐᓗᑎᑦ. ᑭᐅᔾᔪᑏᑦ ᐃᓗᓕᖏᑦ ᒪᑐᔭᐅᓯᒪᔪᑦ; ᐅᐸᒍᓐᓇᕈᕕᑦ ᒪᑐᐃᖅᓯᓗᒍ.
ᑐᐊᑉ (Thorp) ᐆᒃᑑᑎᒋᔭᖓᓂ ᐊᖅᓴᐅᑉᐊᑐᖅᑕᐅᔪᑦᐊᖅᓴᖅᒥᑭᔪᖅ ᐊᖅᓴᖅ ᐊᖁᑎᖓᓂ ᑲᐃᕙᖅᑐᑉ ᐊᑉᐱᖓᓄᑦ ᐃᒋᑕᐅᔪᖅ. ᒫᓐᓇᐅᔪᖅ ᐊᖅᓵᑦ ᐃᕗᕆᓐ ᐅᕝᕙᓘᓐᓃᑦ ᑎᕙᓚᓐ, 18–21 mm.ᐃᓘᓐᓇᖓ ᐅᖃᓕᒫᕐᓗᒍ → ᓱᒃᑲᐃᓕᖅᐸᓪᓕᐊᓂᖓᓂ, ᐊᖁᑎᒥ ᐊᒃᓴᓗᕐᓂᖅ ᐊᑕᐅᓯᖅ T ᓯᑭᓐᓂᒃ ᐱᔭᕆᐊᖃᖅᐸᑦ, ᐊᖅᓴᖅ 1/(e^(3T/20) − 1) − 10/3 ᐊᒃᓴᓗᕐᓃᓐᓂᒃ ᐱᑕᖃᖅᑐᖅ ᐊᖁᑎ ᖃᓪᓗᓚᐅᙱᓐᓂᖓᓂ. ᐊᒃᓴᓗᕐᓂᖅ ᓯᑭᓐ ᖃᑉᐱᐊᓐᓂᖓᓂ ᐊᓂᒍᖅᑎᓪᓗᒍ ᖃᔅᓯᑦ ᐱᑕᖃᖅᐸᑦ, ᓯᑭᓐᓂᓗ ᐊᑕᐅᓯᕐᒥ ᐊᓂᒍᖅᑎᓪᓗᒍ? ᐱᕕᖓᑕ ᑕᒻᒪᕐᓂᖓ 0.012 ᓯᑭᓐᓂᒃ T = 0.8-ᒥ ᓇᓚᐅᑦᑖᕐᓂᕐᒥᒃ ᖃᓄᖅ ᓄᑦᑕᖅᑎᑦᓯᕙ?
ᑭᐅᔾᔪᑎ ᑕᑯᓗᒍ
ᑭᐅᔾᔪᑎ ᖃᓂᒋᔭᖓ 9.5 ᐊᒃᓴᓗᕐᓃᑦ ᖃᑉᐱᐊᓐᓂᖓᓂ ᓯᑭᓐ ᐊᒃᓴᓗᕐᓂᖅ ᐊᓂᒍᖅᑎᓪᓗᒍ 2.85-ᓗ ᓯᑭᓐ ᐊᑕᐅᓯᖅ ᐊᒃᓴᓗᕐᓂᖅ ᐊᓂᒍᖅᑎᓪᓗᒍ. ᑕᒻᒪᕐᓂᖅ ᓇᓚᐅᑦᑖᕐᓂᕐᒥᒃ ᖃᓂᒋᔭᖓ 0.12-ᒥᒃ ᐊᒃᓴᓗᕐᓂᐅᑉ ᓄᑦᑕᖅᑎᑦᓯᔪᖅ, ᖃᓂᒋᔭᖓ 4½ ᐃᓂᑦᐊᑐᖅᑕᐅᔪᑦᐃᓂᑲᐃᕙᖅᑐᒥ 37 ᓈᓴᐅᑎᓕᑦ ᐃᓂᑦ ᐊᑕᐅᓯᖓ. ᐊᓯᐊᓂ ᐊᑎᖏᑦ: ᐃᓂᒋᐊᖅ, ᖃᓪᓗᐊᖅ.ᐃᓘᓐᓇᖓ ᐅᖃᓕᒫᕐᓗᒍ →.
T = 0.5: 3T/20 = 0.075 e^0.075 ≈ 1.0779-ᓗ, ᑕᐃᒪᐃᒻᒪᑦ 1/0.0779 ≈ 12.84, 12.84 − 3.33 ≈ 9.51-ᓗ ᐊᒃᓴᓗᕐᓃᑦ. T = 1: e^0.15 ≈ 1.1618, 1/0.1618 ≈ 6.18, 6.18 − 3.33 ≈ 2.85-ᓗ. ᐊᒃᓴᓗᕐᓂᖅ ᓱᒃᑲᐃᑦᑐᖅ ᐊᒃᓴᓗᕐᓃᓐᓂᒃ ᐊᒥᓱᓂᒃ ᐱᑕᖃᕐᓂᕐᒥᒃ ᑐᑭᖃᖅᑐᖅ, ᐊᒃᓴᓗᕐᓂᕐᓗ ᒪᕐᕉᕆᐊᖅᓗᒍ ᓱᒃᑲᐃᓐᓂᖅᓴᖅ ᐱᖓᓱᓄᑦ ᐊᕕᒃᓯᒪᓂᖓᓂᑦ ᐊᑕᐅᓯᕐᒥᑦ ᒥᑭᓂᖅᓴᓂᒃ ᐊᓯᐅᖅᑕᐃᓕᔪᖅ.
T = 0.8-ᒥ ᓈᓴᐅᑎᓕᐅᕈᑎ 4.51 ᐊᒃᓴᓗᕐᓃᓐᓂᒃ ᓴᖅᑭᑦᑎᔪᖅ; T = 0.812-ᒥ 4.39. ᑕᒻᒪᕐᓂᖅ 12-ᓂᒃ ᓯᑭᓐ ᑕᐅᓴᓐ ᐃᓚᖏᓐᓂᒃ, ᖃᓂᒋᔭᖓ ᐊᖅᓴᖅ ᐊᒃᓴᓗᒃᑐᖅ ᐃᒻᒥᓂ ᐊᖏᓂᖓᓂᒃ, ᓇᓚᐅᑦᑖᕐᓂᕐᒥᒃ 0.12-ᒥᒃ ᐊᒃᓴᓗᕐᓂᐅᑉ ᓄᑦᑕᖅᑎᑦᓯᔪᖅ: ᖃᓂᒋᔭᖓ 4½ ᐃᓂᑦ 37 ᐃᓂᓕᖕᒥ ᐊᒃᓴᓗᐊᕐᒥ. ᑕᒪᓐᓇ ᑕᒻᒪᕐᓂᖅ ᐊᑕᐅᓯᖅ ᑐᐊᑉ 5.5 ᐃᓂᓐᓂᒃ ᐊᖅᓴᐅᑉ ᐱᕕᖓᓄᑦ ᑕᒻᒪᕐᓂᐅᔪᓐᓇᖅᑐᑦ ᐊᒥᓲᓂᖏᓐᓂᒃ ᐱᔪᖅ (Advantage Play ᑕᑯᓗᒍ), ᑕᐃᒪᐃᒻᒪᑦ ᐱᕕᖓᓂᒃ ᓈᓴᐅᑎ, ᓈᓴᐃᓂᐅᙱᑦᑐᖅ, ᓇᓚᐅᑦᑖᖅᑎᒥᒃ ᑭᒡᓕᖃᖅᑎᑦᓯᔪᖅ.
ᐃᓪᓗᕐᓇᖅᑐᖅ ᐊᔾᔨᓕᐊᖅ

ᑲᑦᑕᕐᓂᖓᓄᑦ ᑎᑭᓪᓗᒍ ᓇᓚᐅᑦᑖᖅᑕᐅᔪᓐᓇᖅᑐᖅ. ᑕᐃᒪ ᐊᖅᓴᐅᑉ ᓇᒻᒥᓂᖅᓯᐅᑎᖏᑦ.
ᐱᕝᕕᒋᔭᐅᔪᑦ
- Small, M. & Tse, C. K. “Predicting the outcome of roulette.”
- Bass, T. A. The Eudaemonic Pie.
- Thorp, E. O. “Optimal gambling systems for favorable games.”