ꯋꯥꯔꯣꯜꯗ ꯆꯪꯕ

ꯑꯥꯏꯝ ꯇ꯭ꯔꯦꯅꯔ

30 ꯁꯦꯡꯅꯥ ꯑꯃꯁꯨꯡ ꯑꯆꯨꯝꯅꯥ ꯊꯥꯔꯨ, ꯑꯃꯁꯨꯡ ꯅꯪꯒꯤ ꯑꯥꯏꯝ ꯐꯤꯠꯁꯀꯤ ꯂꯣꯒꯥ ꯀꯔꯝꯅꯥ ꯃꯥꯟꯅꯩ ꯍꯥꯏꯕꯗꯨ ꯌꯦꯡꯕꯤꯌꯨ꯫ ꯑꯐꯕ, ꯁꯥꯏꯟ-ꯑꯞ ꯇꯧꯗꯕꯥ꯫

Helibrain ꯇꯤꯝꯅꯥ ꯏꯕꯥRobert(English)ꯅꯥ ꯌꯦꯡꯁꯤꯟꯈ꯭ꯔꯦ, ꯕꯥꯏꯑꯣꯐꯤꯖꯤꯛꯁꯀꯤ PhD ꯊꯤꯖꯤꯟꯕꯊꯥꯈꯤꯕꯥ ꯑꯔꯣꯏꯕꯥ ꯌꯦꯡꯁꯤꯟꯈꯤꯕꯥ

ꯅꯪꯒꯤ ꯁ꯭ꯀꯣꯔ ꯀꯔꯝꯅꯥ ꯄꯥꯕ

  • ꯊꯥꯔꯒꯦꯠ ꯑꯃꯒꯤ ꯃꯊꯪꯒꯤ ꯃꯇꯝ: ꯂꯣꯏꯁꯤꯟꯕ ꯃꯇꯝ ꯑꯗꯨ ꯊꯥꯔꯒꯦꯠ ꯀꯌꯥꯒꯤ ꯃꯈꯥꯗꯥ ꯈꯥꯏꯗꯣꯀꯄꯥ, ꯃꯤꯂꯤꯁꯦꯀꯟꯗ (ms) ꯗꯥ꯫ ꯃꯇꯝ ꯑꯃꯨꯛꯀꯥ ꯊꯨꯅꯥ ꯑꯣꯏꯕ ꯐꯕꯥ꯫ ꯊꯥꯕꯗꯥ ꯈꯨꯠ ꯊꯥꯗ꯭ꯔꯕꯗꯤ ꯃꯇꯝ ꯆꯥꯏ, ꯑꯗꯨꯅꯥ ꯃꯁꯤꯁꯨ ꯃꯈꯥꯗꯥ ꯎꯠꯂꯤ꯫
  • ꯑꯆꯨꯝꯕ: ꯄ꯭ꯂꯦ ꯑꯦꯔꯤꯌꯥꯗꯥ ꯊꯥꯕꯥ ꯃꯄꯨꯝ ꯄꯨꯝꯅꯃꯛꯀꯤ ꯃꯅꯨꯡꯗꯥ ꯊꯥꯔꯒꯦꯠ ꯊꯥꯕꯥ꯫
  • ꯑꯃꯗꯤ ꯊꯥꯕꯥ: ꯅꯪꯅꯥ ꯊꯥꯔꯒꯦꯠ ꯑꯃꯗꯥ ꯊꯥꯕꯥ ꯊꯨꯅꯕ ꯃꯇꯝꯗꯨ꯫
  • ꯊꯥꯕꯒꯤ ꯃꯈꯜ ꯂꯥꯞꯅꯕ ꯁꯦꯡ: ꯊꯨꯅꯕ ꯑꯃꯁꯨꯡ ꯂꯥꯡꯊꯣꯛꯄꯥ ꯑꯃꯅꯥ ꯅꯝꯕꯔ ꯑꯃꯗꯥ; ꯕꯤꯠ ꯄꯔ ꯁꯦꯀꯟꯗꯗꯥ (ꯃꯈꯥꯗꯥ ꯌꯦꯡꯕꯤꯌꯨ)꯫ ꯃꯁꯤ ꯍꯦꯟꯅꯥ ꯑꯣꯏꯕ ꯐꯕꯥ꯫
  • ꯆꯥꯔꯠ: ꯊꯤꯟ ꯑꯃꯅꯥ ꯊꯥꯔꯒꯦꯠ ꯑꯃꯒꯤ ꯃꯇꯝ ꯑꯃꯁꯨꯡ ꯃꯁꯤ ꯀꯔꯝꯅꯥ ꯂꯥꯡꯊꯣꯛꯍꯅꯕ ꯑꯣꯏꯕꯗꯨ ꯎꯠꯂꯤ꯫ ꯗꯦꯁ꯭ꯗ ꯂꯥꯏꯟꯅꯥ ꯅꯪꯒꯤ ꯐꯤꯠꯁꯀꯤ ꯂꯣꯒꯤ ꯂꯥꯏꯟꯗꯨ ꯎꯠꯂꯤ꯫

ꯐꯤꯠꯁꯀꯤ ꯂꯣ ꯀꯔꯤꯅꯣ?

ꯊꯥꯔꯒꯦꯠ ꯑꯗꯨ ꯑꯄꯥꯟꯕꯥ ꯑꯃꯁꯨꯡ ꯑꯄꯤꯀꯄꯥ ꯑꯣꯏꯔꯕꯗꯤ ꯊꯥꯕꯥ ꯃꯇꯝ ꯍꯦꯟꯅꯥ ꯆꯥꯏ, ꯍꯥꯏꯕꯗꯨ ꯐꯤꯠꯁꯀꯤ ꯂꯣꯅꯥ ꯍꯥꯏ꯫ 1954 ꯗꯥ ꯄꯥꯎꯜ ꯐꯤꯠꯁꯅꯥ ꯊꯥꯔꯒꯦꯠꯀꯤ “ꯑꯀꯅꯕ ꯃꯈꯜ ꯈꯪꯅꯕꯒꯤ ꯃꯔꯣꯜ” ꯃꯤꯠꯅꯥ ꯃꯥꯡꯖꯤꯜꯂꯝ ꯍꯥꯏꯕꯗꯨ ꯎꯠꯈꯤ, ꯃꯁꯤ ꯕꯤꯠꯁꯅꯥ ꯃꯥꯄꯂꯝꯃꯤ [1]꯫ ꯅꯨꯡꯉꯥꯏꯅꯥ ꯃꯁꯤ ꯂꯩꯔꯤꯕ ꯃꯑꯣꯡꯗꯥ log2(distance / width + 1) [2] ꯍꯥꯏꯅꯥ ꯏꯕꯅꯤ꯫ ꯗꯤꯖꯥꯏꯅꯔꯁꯤꯡꯅꯥ ꯃꯁꯤ ꯅꯝꯕꯔ ꯊꯥꯕ ꯊꯨꯅꯥ ꯑꯣꯏꯅꯕ ꯕꯇꯟ ꯁꯦꯝꯅꯕꯗꯥ ꯌꯥꯝꯅꯥ ꯌꯨꯖ ꯇꯧꯏ꯫

ꯑꯔꯣꯏꯕ ꯄꯥꯎꯁꯤꯡ

  • ꯃꯁꯤꯅꯥ ꯀꯔꯤ ꯃꯥꯄꯩ: ꯊꯥꯔꯒꯦꯠ ꯑꯃꯗꯥ ꯅꯪ ꯀꯔꯝꯅꯥ ꯊꯥꯔꯤ ꯑꯃꯁꯨꯡ ꯑꯆꯨꯝꯅꯥ ꯊꯥꯔꯤ—ꯊꯥꯔꯒꯦꯠ ꯑꯃꯗꯨ ꯀꯗꯥꯏꯗꯥ ꯂꯩꯕꯗꯨ ꯎꯕꯥ, ꯃꯗꯨꯗꯥ ꯆꯠꯄꯥ ꯑꯃꯁꯨꯡ ꯃꯗꯨꯗꯥ ꯂꯣꯞꯅꯥ ꯊꯝꯕꯥ꯫
  • ꯃꯣꯁꯅꯥ ꯊꯥꯕꯒꯤ ꯃꯈꯜ ꯂꯥꯞꯅꯕ ꯁꯦꯡ: ꯁ꯭ꯇꯦꯟꯗꯔꯗ ꯃꯑꯣꯡ ꯌꯨꯖ ꯇꯧꯗꯨꯅꯥ ꯂꯕꯣꯔꯦꯇꯣꯔꯤꯗꯥ ꯄꯔꯤꯛꯁꯥ ꯇꯧꯔꯕꯥ ꯃꯤꯌꯥꯝꯗꯥ 3.7 ꯗꯒꯤ 4.9 ꯕꯤꯠ ꯄꯔ ꯁꯦꯀꯟꯗ ꯐꯥꯏ [3]꯫
  • ꯈꯣꯡꯅꯥ ꯊꯥꯕꯒꯤ ꯃꯈꯜ ꯂꯥꯞꯅꯕ ꯁꯦꯡ: ꯄꯥꯟ ꯑꯃꯥꯗꯥ ꯄꯔꯤꯛꯁꯥ ꯑꯃꯗꯥ ꯃꯤ 16 ꯅꯥ ꯊꯥꯔꯒꯦꯠ ꯊꯥꯔꯒꯥ 7 ꯕꯤꯠ ꯄꯔ ꯁꯦꯀꯟ ꯐꯥꯈꯤ [4]꯫ ꯑꯩꯈꯣꯌꯒꯤ ꯅꯝꯕꯔꯁꯤꯡ ꯍꯦꯟꯅꯥ ꯂꯥꯟꯕ ꯃꯑꯣꯡꯅꯥ (ꯃꯈꯥꯗꯥ) ꯂꯩꯔꯤ, ꯑꯗꯨꯅꯥ ꯃꯁꯤ ꯑꯃꯗꯥ ꯑꯃꯥ ꯂꯣꯌꯅꯅꯥ ꯃꯥꯟꯅꯗꯦ꯫
  • ꯊꯧꯅꯤꯡ ꯌꯥꯑꯣꯕ ꯁ꯭ꯀ꯭ꯔꯤꯟꯗꯥ ꯑꯄꯤꯀꯄꯥ ꯊꯥꯔꯒꯦꯠ: ꯈꯣꯡꯒꯤ ꯊꯧꯅꯤꯡ ꯃꯗꯨ ꯊꯥꯔꯒꯦꯠ ꯈꯣꯠꯇꯒꯤ 1 ꯗꯒꯤ 1.5 mm ꯐꯥꯑꯣꯕ ꯂꯃꯒꯗꯕꯥ ꯑꯣꯏꯏ; 7 mm ꯒꯤ ꯃꯊꯛꯇꯥ ꯑꯣꯏꯕ ꯊꯥꯔꯒꯦꯠꯁꯤꯡꯗꯥ ꯊꯥꯗ꯭ꯔꯕꯥ ꯌꯥꯝꯅꯥ ꯑꯣꯏꯏ [5]꯫
  • ꯃꯣꯁ ꯑꯃꯁꯨꯡ ꯊꯧꯅꯤꯡ ꯃꯈꯜ ꯑꯃꯗꯥ ꯑꯃꯥ ꯂꯣꯌꯅꯅꯥ ꯃꯥꯄꯕ: ꯑꯀꯟꯕ ꯃꯈꯜ ꯑꯃꯗꯥ ꯌꯨꯖ ꯇꯧꯕꯥ ꯃꯤꯌꯥꯝꯈꯛꯀꯥ ꯂꯥꯟꯅꯥ ꯂꯥꯏꯔꯤ꯫

ꯑꯥꯏꯝ ꯇ꯭ꯔꯦꯅꯔ ꯀꯔꯝꯅꯥ ꯊꯕꯛ ꯇꯧꯕ

  1. ꯄ꯭ꯂꯦ ꯑꯦꯔꯤꯌꯥꯒꯤ ꯃꯌꯥꯏꯗꯥ ꯁ꯭ꯇꯥꯔꯠ ꯄ꯭ꯔꯦꯁ ꯇꯧꯕꯤꯌꯨ꯫ ꯀ꯭ꯂꯣꯛꯇꯨ ꯍꯧꯏ꯫
  2. ꯊꯥꯔꯒꯦꯠ ꯊꯥꯔꯨ꯫ ꯃꯑꯣꯡ ꯑꯃꯗꯥ 30 ꯊꯥꯔꯒꯦꯠ ꯑꯃꯗꯒꯤ ꯑꯃꯗꯥ ꯎꯠꯂꯤ, ꯃꯈꯜ ꯑꯃꯗꯥ ꯃꯁꯥꯅꯥ ꯃꯈꯜ ꯑꯍꯨꯝ ꯑꯃꯥ ꯑꯃꯥ ꯎꯠꯂꯤ, ꯑꯃꯁꯨꯡ ꯈ꯭ꯋꯥꯏꯗꯒꯤ ꯃꯃꯥꯡꯒꯤ ꯊꯥꯔꯒꯦꯠꯇꯒꯤ ꯂꯃꯗꯨꯅꯥ ꯂꯩ꯫ ꯊꯥꯗ꯭ꯔꯕ ꯀ꯭ꯂꯤꯛꯅꯥ ꯑꯆꯨꯝꯕꯗꯥ ꯆꯥꯏ; ꯊꯥꯔꯒꯦꯠꯇꯨ ꯊꯥꯔꯐꯥꯑꯣꯕ ꯊꯝꯂꯤ꯫
  3. ꯅꯪꯒꯤ ꯐꯂꯗꯨ ꯌꯦꯡꯕꯤꯌꯨ, ꯐꯤꯠꯁꯀꯤ ꯂꯣꯒꯤ ꯂꯥꯏꯟ ꯂꯣꯌꯅꯅꯥ꯫

ꯅꯪꯅꯥ ꯅꯪꯒꯤ ꯁ꯭ꯀꯣꯔ ꯁꯔ ꯇꯧꯕꯗꯤ, ꯅꯪꯒꯤ ꯃꯔꯨꯞꯅꯁꯨ ꯊꯥꯔꯒꯦꯠ ꯑꯗꯨꯃꯛ ꯐꯥꯏ꯫

ꯑꯩꯈꯣꯌꯅꯥ ꯊꯥꯔꯒꯦꯠ ꯑꯃꯒꯤ ꯂꯝꯕꯤ ꯑꯃꯁꯨꯡ ꯑꯀꯅꯕ ꯃꯈꯜꯗꯒꯤ ꯊꯥꯕꯒꯤ ꯃꯈꯜ ꯂꯥꯞꯅꯕ ꯁꯦꯡ ꯂꯦꯞꯂꯤ, ꯂꯕꯣꯔꯦꯇꯣꯔꯤꯒꯤ ꯁ꯭ꯇꯦꯟꯗꯔꯗꯅꯥ ꯊꯥꯕꯥ ꯀꯗꯥꯏꯗꯥ ꯂꯥꯏꯕꯗꯨ ꯁꯣꯗꯅꯕ ꯇꯧꯕꯥ ꯃꯇꯝꯗꯨ ꯍꯣꯡꯗꯅꯥ [3]꯫ ꯃꯁꯤꯅꯤ ꯅꯪꯅꯥ ꯅꯪꯒꯤ ꯃꯃꯥꯡꯒꯤ ꯊꯥꯕꯁꯤꯡꯒꯥ ꯃꯥꯟꯅꯅꯥ ꯌꯦꯡꯅꯕꯥ ꯍꯥꯏꯕꯗꯨ꯫

ꯅꯪꯒꯤ ꯑꯥꯏꯝ ꯑꯗꯨ ꯀꯔꯤꯅꯥ ꯁꯣꯛꯍꯅꯩ?

  • ꯂꯝꯕꯤ ꯑꯃꯁꯨꯡ ꯑꯀꯅꯕ ꯃꯈꯜ꯫ ꯑꯄꯥꯟꯕ ꯑꯃꯁꯨꯡ ꯑꯄꯤꯀꯄꯥ ꯊꯥꯔꯒꯦꯠꯁꯤꯡ ꯊꯥꯕꯗꯥ ꯃꯇꯝ ꯍꯦꯟꯅꯥ ꯆꯥꯏ: ꯃꯁꯤꯅꯤ ꯐꯤꯠꯁꯀꯤ ꯂꯣ [1, 2]꯫
  • ꯌꯥꯟꯊꯣꯛꯄ ꯑꯄꯥꯔꯦꯠꯁꯤꯡ꯫ ꯃꯣꯁ, ꯇꯁꯆꯄꯦꯗ ꯑꯃꯁꯨꯡ ꯈꯣꯡꯅꯥ ꯐꯔꯤꯕ ꯐꯂ ꯂꯥꯀꯩ꯫ ꯂꯕꯣꯔꯦꯇꯣꯔꯤꯒꯤ ꯄꯔꯤꯛꯁꯥꯗꯥ ꯇꯁꯆꯄꯦꯗ ꯃꯣꯁꯇꯒꯤ ꯌꯥꯝꯅꯥ ꯂꯥꯏꯅꯥ ꯊꯥꯈꯤ [3]꯫
  • ꯊꯨꯅꯥ ꯅꯠꯇ꯭ꯔꯒꯥ ꯑꯀꯅꯅꯥ꯫ ꯈꯨꯠꯊꯥꯅꯥ ꯊꯨꯅꯥ ꯇꯧꯕꯗꯥ ꯊꯥꯗ꯭ꯔꯕꯥ ꯍꯦꯟꯅꯥ ꯑꯣꯏꯏ, ꯑꯃꯁꯨꯡ ꯊꯥꯗ꯭ꯔꯕ ꯈꯨꯗꯤꯡꯃꯛꯅꯥ ꯃꯇꯝ ꯆꯥꯏ꯫ ꯐꯕ ꯁ꯭ꯀꯣꯔ ꯐꯕꯗꯤ ꯑꯀꯅꯕꯥ ꯊꯨꯅꯥ ꯆꯠꯄꯥ꯫
  • ꯆꯍꯤ꯫ ꯄꯔꯤꯛꯁꯥ ꯑꯃꯗꯥ, ꯃꯄꯥꯅꯕꯁꯤꯡꯅꯥ ꯆꯍꯤ 12 ꯗꯒꯤ 14 ꯐꯥꯑꯣꯕ ꯃꯆꯥꯁꯤꯡꯗꯒꯤ ꯊꯥꯗ꯭ꯔꯕ ꯍꯦꯟꯅꯥ ꯑꯣꯏꯈꯤ, ꯑꯃꯁꯨꯡ ꯆꯍꯤ 61 ꯗꯒꯤ 69 ꯐꯥꯑꯣꯕ ꯃꯤꯌꯥꯝꯗꯒꯤ ꯊꯨꯅꯥ ꯊꯥꯈꯤ [6]꯫
  • ꯑꯃꯨꯛ-ꯑꯃꯨꯛ ꯇꯧꯕꯥ꯫ ꯄ꯭ꯂꯦ ꯑꯃꯨꯛ-ꯑꯃꯨꯛ ꯇꯧꯕꯗꯥ ꯃꯇꯝ ꯍꯟꯊꯔꯤ, ꯒꯦꯝꯒꯥ ꯊꯧꯅꯥ ꯑꯃꯨꯛ-ꯑꯃꯨꯛ ꯃꯥꯟꯅꯔꯀꯄꯅꯤ꯫

ꯃꯁꯤ ꯄꯔꯤꯛꯁꯥꯅꯥ ꯀꯔꯤ ꯍꯥꯏꯕꯥ ꯌꯥꯏ, ꯑꯃꯁꯨꯡ ꯀꯔꯤ ꯍꯥꯏꯕꯥ ꯉꯝꯗꯦ

ꯑꯥꯏꯝ ꯇ꯭ꯔꯦꯅꯔꯅꯥ ꯅꯪꯅꯥ ꯌꯥꯟꯊꯣꯛꯄ ꯑꯄꯥꯔꯦꯠꯁꯤꯡꯗꯥ ꯊꯥꯕꯒꯤ ꯊꯨꯅꯕ ꯑꯃꯁꯨꯡ ꯑꯆꯨꯝꯕ ꯃꯥꯄꯂꯤ꯫ ꯃꯁꯤ ꯃꯁꯥ ꯈꯪꯕꯒꯤ ꯄꯔꯤꯛꯁꯥ ꯅꯠꯇꯦ ꯅꯠꯇ꯭ꯔꯒꯥ ꯅꯪꯒꯤ ꯃꯥꯏꯅꯒꯤ ꯑꯐꯕ ꯂꯩꯐꯝꯒꯤ; ꯃꯇꯝ ꯆꯥꯡ ꯑꯃꯒꯤ ꯁ꯭ꯀꯣꯔꯅꯥ ꯅꯪ ꯒꯦꯝꯁꯤꯡꯗꯥ ꯀꯔꯝꯅꯥ ꯐꯕꯒꯗꯕꯗꯨ ꯍꯥꯏꯗꯦ꯫

ꯑꯀꯟꯕ ꯑꯄꯥꯔꯦꯠ ꯑꯃꯗꯥ ꯅꯪꯒꯤ ꯃꯃꯥꯡꯒꯤ ꯊꯥꯕꯁꯤꯡꯒꯥ ꯃꯥꯟꯅꯅꯥ ꯌꯦꯡꯕꯤꯌꯨ; ꯑꯅꯧꯕ ꯃꯣꯁ ꯅꯠꯇ꯭ꯔꯒꯥ ꯁ꯭ꯀ꯭ꯔꯤꯟꯒꯤ ꯃꯑꯣꯡ ꯑꯇꯣꯞꯄꯥꯅꯥ ꯅꯝꯕꯔꯁꯤꯡ ꯍꯣꯡꯍꯜꯂꯤ꯫

ꯌꯥꯝꯅꯥ ꯄꯥꯉ꯭ꯒꯜ ꯄꯥꯕ ꯋꯥꯍꯩꯁꯤꯡ

ꯑꯥꯏꯝ ꯇ꯭ꯔꯦꯅꯔꯒꯤ ꯐꯕ ꯁ꯭ꯀꯣꯔ ꯀꯔꯝꯕꯥ?

ꯑꯀꯟꯕ ꯑꯄꯥꯔꯦꯠ ꯑꯃꯗꯥ ꯅꯪꯒꯤ ꯃꯃꯥꯡꯒꯤ ꯊꯥꯕꯁꯤꯡꯒꯥ ꯃꯥꯟꯅꯅꯥ ꯌꯦꯡꯕꯤꯌꯨ: ꯃꯁꯤꯒꯨꯝꯕ ꯒꯦꯝꯗꯥ ꯐꯕ ꯁ꯭ꯀꯣꯔꯅꯤ ꯃꯃꯥꯡꯒꯤ ꯁ꯭ꯀꯣꯔꯗꯨ ꯃꯥꯡꯖꯤꯜꯂꯕꯥ꯫ ꯃꯤꯌꯥꯝ ꯌꯥꯝꯅꯥ ꯄ꯭ꯂꯦ ꯇꯧꯔꯕꯗꯤ, ꯅꯪꯒꯤ ꯑꯍꯥꯅꯕ ꯊꯥꯕꯥ ꯑꯗꯨ ꯑꯀꯟꯕ ꯃꯈꯜ ꯑꯃꯗꯥ ꯊꯥꯔꯕ ꯑꯇꯣꯞꯄ ꯄ꯭ꯂꯦꯌꯔꯁꯤꯡꯒꯤ ꯑꯍꯥꯅꯕ ꯊꯥꯕꯥꯒꯥ ꯀꯔꯝꯅꯥ ꯃꯥꯟꯅꯩ ꯍꯥꯏꯕꯗꯨ ꯐꯂꯗꯨꯅꯥ ꯎꯠꯂꯤ꯫

ꯕꯤꯠ ꯄꯔ ꯁꯦꯀꯟꯗꯗꯥ ꯊꯥꯕꯒꯤ ꯃꯈꯜ ꯂꯥꯞꯅꯕ ꯁꯦꯡ ꯀꯔꯤꯅꯣ?

ꯊꯥꯕꯒꯤ ꯃꯈꯜ ꯂꯥꯞꯅꯕ ꯁꯦꯡꯅꯥ ꯊꯥꯔꯒꯦꯠꯁꯤꯡ ꯀꯔꯝꯅꯥ ꯑꯀꯅꯕꯥ ꯑꯣꯏꯈꯤ ꯑꯃꯁꯨꯡ ꯅꯪ ꯀꯔꯝꯅꯥ ꯊꯨꯅꯥ ꯊꯥꯈꯤ ꯍꯥꯏꯕꯗꯨ ꯑꯃꯗꯥ ꯌꯥꯑꯣꯍꯜꯂꯤ꯫ ꯑꯀꯅꯕ ꯃꯈꯜꯗꯨ ꯕꯤꯠꯁꯅꯥ ꯂꯦꯞꯂꯤ: log2(distance / width + 1) [2]꯫ ꯊꯥꯕꯥ ꯈꯨꯗꯤꯡꯃꯛꯀꯤ ꯃꯇꯝꯗꯥ ꯃꯁꯤ ꯈꯥꯏꯗꯣꯀꯂꯤ, ꯑꯃꯁꯨꯡ ꯃꯇꯝ ꯀꯌꯥꯒꯤ ꯑꯥꯌꯕꯥ ꯇꯧꯔꯤ; ꯑꯗꯨꯅꯥ ꯕꯤꯠ ꯄꯔ ꯁꯦꯀꯟꯗ ꯐꯥꯏ꯫ ꯃꯣꯁ ꯌꯨꯖ ꯇꯧꯔꯕ ꯂꯕꯣꯔꯦꯇꯣꯔꯤꯒꯤ ꯄꯔꯤꯛꯁꯥꯗꯥ ꯑꯀꯅꯕ ꯃꯑꯣꯡ ꯑꯃꯥ ꯌꯨꯖ ꯇꯧꯗꯨꯅꯥ ꯃꯊꯧ ꯑꯃꯗꯥ 4 ꯗꯒꯤ 5 ꯕꯤꯠ ꯄꯔ ꯁꯦꯀꯟꯗ ꯐꯥꯏ [3]꯫

ꯃꯣꯁ ꯑꯃꯁꯨꯡ ꯊꯧꯅꯤꯡꯒꯥ ꯃꯥꯟꯅꯅꯥ ꯃꯥꯄꯕ ꯌꯥꯕ꯭ꯔꯥ?

ꯅꯠꯇꯦ, ꯑꯃꯁꯨꯡ ꯑꯩꯈꯣꯌꯅꯥ ꯃꯥꯄꯗꯦ꯫ ꯈꯣꯡ ꯑꯃꯁꯨꯡ ꯃꯣꯁ ꯆꯠꯄꯒꯤ ꯃꯈꯜ ꯈꯦꯟꯅꯩ, ꯑꯗꯨꯅꯥ ꯑꯀꯟꯕ ꯃꯈꯜ ꯑꯃꯗꯥ ꯌꯨꯖ ꯇꯧꯔꯕ ꯑꯇꯣꯞꯄ ꯃꯤꯌꯥꯝꯈꯛꯀꯥ ꯅꯪꯒꯤ ꯐꯂꯗꯨ ꯃꯥꯄꯂꯤ꯫

ꯑꯩꯒꯤ ꯃꯔꯨꯞꯀꯤ ꯊꯥꯔꯒꯦꯠꯁꯤꯡ ꯀꯔꯤꯒꯤ ꯑꯩꯒꯤ ꯊꯥꯔꯒꯦꯠꯁꯤꯡꯒꯨꯝꯅꯥ ꯑꯣꯏ?

ꯁꯔ ꯇꯧꯔꯕ ꯁ꯭ꯀꯣꯔꯒꯤ ꯂꯤꯡꯀꯅꯥ ꯊꯥꯕꯒꯤ ꯁꯤꯗ ꯂꯣꯌꯅꯩ, ꯑꯗꯨꯅꯥ ꯊꯥꯔꯒꯦꯠꯁꯤꯡ ꯑꯗꯨꯃꯛ ꯐꯥꯏ꯫ ꯃꯁꯤꯅꯥ ꯆꯥꯂꯦꯟꯖꯗꯨ ꯑꯀꯅꯕ ꯑꯣꯏꯍꯜꯂꯤ꯫

Helibrain ꯑꯥꯏꯝ ꯇ꯭ꯔꯦꯅꯔ ꯑꯐꯕꯥ?

ꯍꯣꯌ꯫ ꯒꯦꯝ ꯑꯃꯁꯨꯡ ꯅꯪꯒꯤ ꯐꯂ ꯃꯄꯨꯝ ꯑꯐꯕꯥ: ꯁꯥꯏꯟ-ꯑꯞ ꯇꯧꯗꯕꯥ, ꯏꯃꯦꯜ ꯂꯥꯛꯇꯦ, ꯄꯦꯃꯦꯟꯠ ꯂꯥꯛꯇꯦ꯫

ꯐ꯭ꯔꯤ ꯃꯃꯥꯡ ꯊꯤꯕꯒꯤ ꯄꯔꯤꯛꯁꯥ 43 ꯄꯨꯝꯅꯃꯛ ꯌꯦꯡꯉꯨ

ꯅꯨꯃꯤꯠ ꯈꯨꯗꯤꯡꯒꯤ ꯃꯁꯤꯒꯤ ꯃꯇꯨꯡ ꯏꯅꯕ ꯄꯥꯝꯕ꯭ꯔꯥ? Helibrain ꯑꯦꯞ (ꯃꯇꯃꯁꯤꯡꯁꯤꯗꯥ English ꯈꯛꯇꯥ)ꯇꯥ ꯐ꯭ꯔꯤ ꯄ꯭ꯂꯥꯟ ꯑꯃꯁꯨꯡ ꯄꯩꯁꯥ ꯂꯩꯕꯥ ꯄ꯭ꯂꯥꯟꯁꯤꯡ ꯂꯩ꯫

ꯃꯥꯏ ꯑꯁꯤ ꯍꯧꯔꯛꯐꯝ ꯄꯤꯌꯨ: ꯑꯥꯏꯝ ꯇ꯭ꯔꯦꯅꯔ. Helibrain. 2026. https://helibrain.com/mni/aim-trainer. CC BY 4.0.

How this test works

This game measures how quickly and accurately you can point at targets. Press Start, then hit 30 round targets that appear one at a time, in three sizes and at different distances. A miss doesn't move the target, but it costs time and lowers your accuracy. Your main score is your average time per target. You also see your accuracy and your throughput in bits per second. Psychology labs have used pointing tasks like this since Paul Fitts described them in 1954.

Version 1 · Cite this test:

Helibrain (2026). Aim trainer, v1. https://helibrain.com/aim-trainer/methods

Full method →

ꯈꯨꯠꯂꯥꯏꯒꯤ ꯃꯐꯝ

  1. Fitts PM (1954). The information capacity of the human motor system in controlling the amplitude of movement. Journal of Experimental Psychology 47(6):381–391. doi.org/10.1037/h0055392
  2. MacKenzie IS (1992). Fitts' law as a research and design tool in human-computer interaction. Human–Computer Interaction 7(1):91–139. doi.org/10.1207/s15327051hci0701_3
  3. Soukoreff RW, MacKenzie IS (2004). Towards a standard for pointing device evaluation, perspectives on 27 years of Fitts' law research in HCI. International Journal of Human-Computer Studies 61(6):751–789. doi.org/10.1016/j.ijhcs.2004.09.001
  4. MacKenzie IS (2015). Fitts' throughput and the remarkable case of touch-based target selection. Human-Computer Interaction: Interaction Technologies (HCII 2015), LNCS 9170, 238–249. doi.org/10.1007/978-3-319-20916-6_23
  5. Bi X, Li Y, Zhai S (2013). FFitts law: modeling finger touch with Fitts' law. Proceedings of CHI 2013, 1363–1372. doi.org/10.1145/2470654.2466180
  6. Hertzum M, Hornbæk K (2010). How age affects pointing with mouse and touchpad: a comparison of young, adult, and elderly users. International Journal of Human-Computer Interaction 26(7):703–734. doi.org/10.1080/10447318.2010.487198

ꯃꯁꯤ ꯂꯦꯞꯅꯕ ꯃꯑꯣꯡ: ꯃꯊꯛꯇꯥ ꯄꯤꯔꯤꯕꯥ ꯊꯤꯖꯤꯟꯕꯁꯤꯡꯒꯤ ꯃꯇꯨꯡ ꯏꯅꯅꯥ Helibrain ꯇꯤꯝꯅꯥ ꯏꯕꯅꯤ, ꯑꯃꯁꯨꯡ Robert(English)ꯅꯥ (নভেম্বর 4, 2026ꯗꯥ) ꯌꯦꯡꯁꯤꯟꯈꯤ꯫ ꯃꯐꯝꯁꯤꯡ ꯍꯣꯡꯂꯕꯥ ꯃꯇꯃꯗꯥ ꯑꯩꯈꯣꯌꯅꯥ ꯃꯁꯤ ꯑꯃꯨꯛ ꯍꯣꯡꯗꯣꯀꯏ꯫