ꯇ꯭ꯔꯤꯄꯜ ꯃꯥꯔꯇꯤꯟꯒꯦꯜ ꯔꯨꯂꯦꯠ ꯊꯧꯔꯥꯡ

ꯅꯤꯌꯝ ꯑꯃꯁꯨꯡ ꯊꯝꯂꯕ ꯁꯦꯜꯒꯤ ꯌꯥꯅꯕ

ꯃꯔꯨꯑꯣꯏꯕ ꯅꯤꯌꯝ ꯑꯁꯤ ꯂꯥꯏꯕꯅꯤ: ꯌꯨꯅꯤꯠꯁꯦꯜꯌꯨꯅꯤꯠꯁꯤꯁ꯭ꯇꯦꯝ ꯅꯠꯔꯒ ꯁꯥꯟꯅꯔꯤꯕ ꯑꯃꯅ ꯁꯤꯖꯤꯟꯅꯕ ꯃꯔꯨꯑꯣꯏꯕ ꯊꯝꯂꯕ ꯁꯦꯜ꯫ ꯄ꯭ꯔꯣꯒ꯭ꯔꯦꯁꯅꯁꯤꯡ ꯌꯨꯅꯤꯠꯇ ꯁꯟꯗꯣꯛꯂꯤ, ꯃꯔꯝ ꯑꯗꯨꯅ ꯃꯈꯣꯌ ꯀꯔꯤꯒꯨꯝꯕ ꯇꯦꯕꯜꯗ ꯆꯠꯂꯤ꯫ꯃꯄꯨꯡ ꯄꯥꯕꯤꯌꯨ → ꯑꯃꯗꯒꯤ ꯍꯧꯕꯤꯌꯨ, ꯃꯥꯏꯊꯤꯔꯕ ꯃꯇꯨꯡꯗ ꯃꯊꯪꯒꯤ ꯊꯝꯂꯕ ꯁꯦꯜ ꯑꯃꯨꯛ ꯑꯍꯨꯝ ꯍꯦꯅꯒꯠꯍꯅꯕꯤꯌꯨ, ꯑꯃꯁꯨꯡ ꯃꯥꯏꯄꯥꯛꯂꯕ ꯃꯇꯨꯡꯗ ꯍꯜꯂꯛꯕꯤꯌꯨ꯫ ꯃꯁꯤꯅ ꯊꯨꯒꯥꯏꯗꯕ ꯃꯥꯏꯊꯤꯕꯁꯤꯡꯒꯤ ꯃꯇꯨꯡꯗ 1, 3, 9, 27, 81, 243, 729 ꯄꯤꯔꯤ; ꯃꯁꯤꯡ ꯑꯃꯥ ꯑꯃꯨꯛ ꯍꯟꯅ ꯊꯝꯕꯅ ꯑꯃꯨꯛ ꯑꯍꯨꯝ ꯍꯦꯅꯒꯠꯍꯅꯕꯒꯥ ꯌꯥꯅꯗꯦ꯫ ꯃꯐꯝ ꯑꯁꯤꯗ ꯂꯩꯕ ꯗꯖꯟ-ꯑꯅꯤꯒꯤ ꯈꯨꯗꯃꯗ, ꯎꯠꯂꯤꯕ ꯌꯨꯅꯤꯠ ꯑꯃꯥ ꯍꯥꯌꯕꯁꯤ ꯈꯅꯈꯤꯕ ꯗꯖꯟꯕꯦꯠꯗꯖꯟ1–12, 13–24 ꯅꯠꯔꯒ 25–36, 2:1 ꯄꯦꯑꯥꯎꯠ꯫ꯃꯄꯨꯡ ꯄꯥꯕꯤꯌꯨ → ꯈꯨꯗꯤꯡꯗ ꯌꯨꯅꯤꯠ ꯑꯃꯃꯃꯥ ꯍꯥꯌꯕꯅꯤ꯫ ꯃꯔꯝ ꯑꯗꯨꯅ ꯍꯧꯔꯛꯐꯃꯒꯤ ꯔꯥꯎꯟꯗꯇ ꯄꯨꯝꯅꯃꯛ ꯌꯨꯅꯤꯠ ꯑꯅꯤ ꯊꯝꯃꯤ, ꯑꯃꯥ ꯅꯠꯇꯦ꯫

ꯗꯖꯟ-ꯑꯅꯤꯒꯤ ꯄꯦꯑꯥꯎꯠ ꯇꯦꯕꯜ

ꯑꯃꯒꯥ ꯑꯃꯒꯥ ꯆꯦꯟꯅꯗꯕ ꯗꯖꯟ ꯑꯅꯤꯅ ꯌꯨꯔꯣꯄꯤꯌꯟ ꯄꯣꯀꯦꯠꯈꯨꯠꯂꯥꯏꯄꯣꯀꯦꯠꯔꯣꯇꯔꯗ ꯂꯩꯕ ꯃꯁꯤꯡ ꯏꯔꯕ ꯀꯣꯠ 37 ꯒꯤ ꯃꯅꯨꯡꯗ ꯑꯃꯥ꯫ ꯑꯇꯣꯞꯄ ꯃꯃꯤꯡ: ꯁ꯭ꯂꯣꯠ, ꯀꯞ꯫ꯃꯄꯨꯡ ꯄꯥꯕꯤꯌꯨ → 24 ꯀꯚꯔ ꯇꯧꯏ꯫ ꯇꯦꯕꯜꯒꯤ ꯊꯝꯂꯕ ꯁꯦꯜꯁꯤꯡ ꯑꯁꯤ ꯁꯔꯨꯛ ꯈꯨꯗꯤꯡꯒꯤꯅꯤ꯫

ꯈꯨꯗꯝ ꯑꯃꯥ

ꯑꯍꯥꯅꯕ ꯗꯖꯟꯗ ꯆꯤꯞꯁꯦꯜꯆꯤꯞꯂꯦꯞꯂꯕ ꯁꯦꯜꯒꯤ ꯃꯃꯜ ꯇꯥꯛꯄ ꯇꯣꯀꯟ, ꯕꯦꯠ ꯊꯝꯅꯕ ꯂꯦꯑꯥꯎꯠꯇ ꯊꯝꯃꯤ꯫ ꯑꯇꯣꯞꯄ ꯃꯃꯤꯡ: ꯆꯦꯛ꯫ꯃꯄꯨꯡ ꯄꯥꯕꯤꯌꯨ → ꯑꯃꯥ ꯑꯃꯁꯨꯡ ꯑꯅꯤꯁꯨꯕꯗ ꯑꯃꯥ ꯊꯝꯕꯤꯌꯨ꯫ 17 ꯊꯣꯛꯂꯒ ꯑꯅꯤꯁꯨꯕ ꯗꯖꯟꯒꯤ ꯆꯤꯞꯅ ꯃꯁꯥꯃꯛ ꯌꯥꯎꯅ ꯌꯨꯅꯤꯠ ꯑꯍꯨꯝ ꯍꯜꯂꯛꯏ; ꯆꯤꯞ ꯑꯅꯤꯃꯛ ꯂꯧꯊꯣꯛꯂꯕꯗ ꯅꯦꯠ +1 ꯐꯪꯏ꯫ 31 ꯊꯣꯛꯂꯒ ꯀꯔꯤꯁꯨ ꯍꯜꯂꯛꯇꯦ ꯑꯃꯁꯨꯡ ꯑꯅꯤ ꯃꯥꯡꯍꯜꯂꯤ꯫ 31 ꯒꯤ ꯃꯇꯨꯡꯗ ꯆꯤꯞ-ꯑꯅꯤꯒꯤ ꯂꯦꯑꯥꯎꯠꯈꯨꯠꯂꯥꯏꯂꯦꯑꯥꯎꯠꯇꯦꯕꯜꯗ ꯏꯔꯕ ꯕꯦꯠ ꯊꯝꯕꯒꯤ ꯒ꯭ꯔꯤꯗ꯫ ꯑꯇꯣꯞꯄ ꯃꯃꯤꯡ: ꯇꯦꯕꯜ, ꯐꯦꯜꯠ, ꯀ꯭ꯂꯣꯊ꯫ꯃꯄꯨꯡ ꯄꯥꯕꯤꯌꯨ → ꯑꯗꯨ ꯃꯥꯏꯊꯤꯕ ꯍꯥꯌꯅ ꯂꯧꯔꯕꯗ, ꯁꯔꯨꯛ ꯈꯨꯗꯤꯡꯒꯤ ꯊꯝꯂꯕ ꯁꯦꯜ ꯑꯃꯨꯛ ꯑꯍꯨꯝ ꯍꯦꯅꯒꯠꯍꯅꯕꯅ ꯃꯊꯪꯒꯤ ꯂꯦꯑꯥꯎꯠ 3 ꯑꯃꯁꯨꯡ 3 ꯑꯣꯏꯍꯜꯂꯤ, ꯄꯨꯝꯅꯃꯛ ꯇꯔꯨꯛ ꯆꯪꯏ꯫ “ꯌꯨꯅꯤꯠ ꯑꯃꯥ” ꯍꯥꯌꯕꯁꯤ ꯄꯨꯝꯅꯃꯛ ꯑꯣꯏꯅ ꯂꯧꯔꯕꯗꯤ ꯇꯣꯉꯥꯟꯅꯕ ꯊꯝꯐꯝ ꯑꯃꯁꯨꯡ ꯇꯣꯉꯥꯟꯅꯕ ꯃꯁꯤꯡꯁꯤꯡ ꯃꯊꯧ ꯇꯥꯒꯅꯤ꯫

ꯐꯪꯒꯗꯕ ꯃꯃꯜ ꯑꯃꯁꯨꯡ ꯈꯨꯗꯣꯡꯊꯤꯕ

ꯁꯔꯨꯛ ꯈꯨꯗꯤꯡꯗ ꯑꯃꯃꯃꯥꯒꯤ ꯊꯥꯛꯇ, ꯐꯪꯒꯗꯕ ꯃꯍꯩ (24 × 1 − 13 × 2) / 37 = −2/37 ꯌꯨꯅꯤꯠꯅꯤ꯫ 24/37 ꯀꯚꯔ ꯇꯧꯕ ꯑꯁꯤ 64.865% ꯅꯤ, ꯑꯗꯨꯕꯨ ꯀꯚꯔ ꯇꯧꯕꯅ ꯄꯣꯖꯤꯇꯤꯚ ꯐꯪꯒꯗꯕ ꯃꯃꯜꯃꯦꯊꯃꯦꯇꯤꯛꯁꯐꯪꯒꯗꯕ ꯃꯃꯜꯃꯇꯝ ꯁꯥꯡꯅ ꯌꯦꯡꯂꯕꯗ ꯕꯦꯠ ꯑꯃꯒꯤ ꯑꯦꯚꯔꯦꯖ ꯃꯍꯩ꯫ ꯃꯔꯨꯑꯣꯏꯕ ꯌꯨꯔꯣꯄꯤꯌꯟ ꯕꯦꯠ ꯈꯨꯗꯤꯡꯗ ꯊꯝꯂꯕ ꯁꯦꯜꯒꯤ −1/37꯫ꯃꯄꯨꯡ ꯄꯥꯕꯤꯌꯨ → ꯂꯩꯒꯅꯤ ꯍꯥꯌꯕ ꯊꯥꯖꯕꯤꯗꯦ꯫ ꯌꯥꯅꯕ ꯑꯁꯤꯒꯤ ꯃꯈꯥꯗ ꯃꯥꯏꯊꯤꯕ ꯈꯨꯗꯤꯡꯃꯛꯅ ꯄꯨꯝꯅꯃꯛ ꯈꯨꯗꯣꯡꯊꯤꯕ ꯑꯃꯨꯛ ꯑꯍꯨꯝ ꯍꯦꯅꯒꯠꯍꯜꯂꯤ: 2, 6, 18, 54, 162 ꯑꯁꯤꯅꯆꯤꯡꯕ꯫ ꯆꯞ ꯃꯥꯟꯅꯕ ꯕꯦꯠ ꯑꯃꯈꯛꯀꯤ ꯂꯧꯁꯤꯡꯗ ꯇꯣꯉꯥꯟꯅꯕ ꯄꯦꯑꯥꯎꯠꯁꯦꯜꯄꯦꯑꯥꯎꯠꯃꯥꯏꯄꯥꯛꯄ ꯕꯦꯠ ꯑꯃꯅ ꯍꯜꯂꯛꯄ ꯁꯦꯜ, ꯍꯜꯂꯀꯄ ꯊꯝꯂꯕ ꯁꯦꯜꯒꯤ ꯃꯊꯛꯇ “X ꯗꯒꯤ 1” ꯍꯥꯌꯅ ꯍꯥꯌꯏ꯫ꯃꯄꯨꯡ ꯄꯥꯕꯤꯌꯨ → ꯑꯃꯁꯨꯡ ꯃꯥꯏꯊꯤꯕꯒꯤ ꯈꯨꯗꯣꯡꯆꯥꯕ ꯂꯩ, ꯃꯔꯝ ꯑꯗꯨꯅ ꯃꯁꯤꯕꯨ ꯗꯖꯟ-ꯑꯅꯤꯒꯤ ꯃꯁꯤꯡ ꯊꯤꯕꯒꯥ ꯄꯨꯟꯁꯤꯟꯅꯔꯣꯏꯗꯕꯅꯤ꯫

ꯋꯥꯍꯪꯁꯤꯡ