ᠬᠠᠭᠤᠷᠮᠠᠭ ᠨᠢᠭᠡᠴᠡ: Засвар хоорондын ялгаа
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| (5 дундын хувилбарууд 2 хэрэглэгчид харагдахгүй) | |||
| 1-р мөр: | 1-р мөр: | ||
<div style="max-height: 80vh; writing-mode: vertical-lr; font-family: 'Noto Sans Mongolian'"> | <div style="max-height: 80vh; writing-mode: vertical-lr; font-family: 'Noto Sans Mongolian'"> | ||
ᠬᠠᠭᠤᠷᠮᠠᠭ ᠨᠢᠭᠡᠴᠡ ᠪᠣᠯ ᠥᠪᠡᠷ ᠲᠦ ᠢᠨᠦ | <span style="color:Violet;">ᠦᠨᠳᠦᠰᠦᠨ ᠨᠡᠢᠢᠲᠡᠯᠡᠯ ᠢ ᠤᠩᠰᠢᠬᠤ ᠳ᠋ᠤ ᠰᠧᠷᠸᠧᠷ ᠦᠨ<sup>server</sup> ᠬᠦᠴᠦᠨ ᠴᠢᠳᠠᠯ ᠡᠴᠡ ᠰᠢᠯᠲᠠᠭᠠᠯᠠᠨ ᠮᠠᠲ᠋ᠾᠧᠮᠠᠲᠢᠺ ᠲᠣᠮᠢᠶᠠᠨ ᠨᠤᠭᠤᠳ ᠡᠪᠳᠡᠷᠡᠵᠦ ᠬᠠᠷᠠᠭᠳᠠᠵᠤ ᠪᠠᠢᠢᠪᠠᠯ ᠳᠠᠷᠠᠭᠠᠬᠢ ᠬᠣᠯᠪᠤᠭᠠᠰᠤ ᠪᠠᠷ ᠣᠷᠤᠵᠤ ᠤᠩᠰᠢᠨᠠ ᠤᠤ᠄</span> [[Хэлэлцүүлэг:ᠬᠠᠭᠤᠷᠮᠠᠭ ᠨᠢᠭᠡᠴᠡ]] | ||
ᠬᠠᠭᠤᠷᠮᠠᠭ ᠨᠢᠭᠡᠴᠡ ᠪᠣᠯ ᠥᠪᠡᠷ ᠲᠦ ᠢᠨᠦ ᠦᠷᠡᠵᠢᠭᠦᠯᠬᠦ ᠳ᠋ᠦ <span style="writing-mode: horizontal-tb;"><i>-1</i></span> ᠭᠠᠷᠳᠠᠭ ᠲᠣᠭ ᠠ᠋ ᠶᠤᠮ᠃ | |||
ᠥᠭᠡᠷ ᠡ᠋ ᠪᠡᠷ ᠬᠡᠯᠡᠪᠡᠯ ᠻᠸᠠᠲᠷᠠᠲ᠋<sup>quadratic</sup> ᠵᠡᠷᠭᠡ ᠢᠨᠦ <span style="writing-mode: horizontal-tb;" ><i>-1</i></span> ᠤᠳᠬ ᠠ᠋ ᠠᠪᠳᠠᠭ <span style="writing-mode: horizontal-tb;"><i>(i<sup>2</sup> = -1)</i></span> ᠲᠣᠭ ᠠ᠋ ᠢᠢ ᠬᠠᠭᠤᠷᠮᠠᠭ ᠨᠢᠭᠡᠴᠡ ᠭᠡᠨ ᠡ᠋᠃ | ᠥᠭᠡᠷ ᠡ᠋ ᠪᠡᠷ ᠬᠡᠯᠡᠪᠡᠯ ᠻᠸᠠᠲᠷᠠᠲ᠋<sup>quadratic</sup> ᠵᠡᠷᠭᠡ ᠢᠨᠦ <span style="writing-mode: horizontal-tb;" ><i>-1</i></span> ᠤᠳᠬ ᠠ᠋ ᠠᠪᠳᠠᠭ <span style="writing-mode: horizontal-tb;"><i>(i<sup>2</sup> = -1)</i></span> ᠲᠣᠭ ᠠ᠋ ᠢᠢ ᠬᠠᠭᠤᠷᠮᠠᠭ ᠨᠢᠭᠡᠴᠡ ᠭᠡᠨ ᠡ᠋᠃ | ||
| 7-р мөр: | 10-р мөр: | ||
:<math>i = \sqrt{-1}</math> | :<math>i = \sqrt{-1}</math> | ||
ᠨᠥᠭᠦᠭᠡᠲᠡᠭᠦᠷ᠂ <small><small><math>\sqrt{-1}</math></small></small> ᠪᠤᠶᠤ ᠬᠠᠰᠠᠬᠤ ᠨᠢᠭᠡ ᠢᠢᠨ ᠢᠵᠠᠭᠤᠷ ᠤᠨ ᠰᠢᠢᠳᠦᠯ ᠢᠨᠦ <math>i</math> ᠲᠡᠳᠦᠢ ᠦᠭᠡᠢ ᠪᠠᠰᠠ <math>-i</math> ᠪᠠᠢᠢᠬᠤ ᠶᠤᠮ᠃<ref>James Tamton. Encyclopedia of Mathematics. Facts on File Inc. New York 2005. [[index.php?title=Special:BookSources/0816051240|ISBN 0-8160-5124-0]]</ref> | |||
ᠠᠩᠭᠯᠢ ᠪᠠᠷ imaginary unit, ᠣᠷᠤᠰ ᠢᠢᠠᠷ мнимая единица ᠬᠡᠮᠡᠬᠦ ᠡᠨᠡ ᠤᠬᠠᠭᠳᠠᠬᠤᠨ ᠠᠨᠤ ᠲᠥᠰᠦᠭᠡᠯᠡᠯ ᠨᠢᠭᠡᠴᠡ᠂ ᠲᠥᠰᠦᠭᠡᠯᠡᠭᠰᠡᠨ ᠨᠢᠭᠡᠴᠡ᠂ ᠬᠣᠭᠤᠰᠤᠨ ᠨᠢᠭᠡᠴᠡ᠂ ᠬᠡᠢᠢᠰᠪᠦᠷᠢ ᠨᠢᠭᠡᠴᠡ ᠭᠡᠰᠡᠨ ᠤᠳᠬ ᠠ᠋ ᠲᠠᠢ᠃ | ᠠᠩᠭᠯᠢ ᠪᠠᠷ imaginary unit, ᠣᠷᠤᠰ ᠢᠢᠠᠷ мнимая единица ᠬᠡᠮᠡᠬᠦ ᠡᠨᠡ ᠤᠬᠠᠭᠳᠠᠬᠤᠨ ᠠᠨᠤ ᠲᠥᠰᠦᠭᠡᠯᠡᠯ ᠨᠢᠭᠡᠴᠡ᠂ ᠲᠥᠰᠦᠭᠡᠯᠡᠭᠰᠡᠨ ᠨᠢᠭᠡᠴᠡ᠂ ᠬᠣᠭᠤᠰᠤᠨ ᠨᠢᠭᠡᠴᠡ᠂ ᠬᠡᠢᠢᠰᠪᠦᠷᠢ ᠨᠢᠭᠡᠴᠡ ᠭᠡᠰᠡᠨ ᠤᠳᠬ ᠠ᠋ ᠲᠠᠢ᠃ | ||
ᠬᠠᠯᠢᠮᠠᠭ ᠲᠦᠮᠡᠨ imaginary number ᠬᠡᠮᠡᠬᠦᠢ ᠢᠢ ухалдаг тойг (ᠤᠬᠠᠭᠠᠯᠠᠳᠠᠭ ᠲᠣᠭᠠ) ᠬᠡᠮᠡᠨ ᠪᠠᠭᠤᠯᠭᠠᠭᠰᠠᠨ ᠪᠠᠢᠢᠬᠤ ᠲᠤᠯᠠ imaginary unit ᠭᠡᠳᠡᠭ ᠢ ᠪᠠᠰᠠ "ᠤᠬᠠᠭᠠᠯᠠᠳᠠᠭ ᠨᠢᠭᠡᠴᠡ" ᠭᠡᠵᠦ ᠪᠠᠭᠤᠯᠭᠠᠳᠠᠭ ᠪᠤᠢ ᠵᠠ᠃ | |||
ᠬᠠᠷᠢᠨ комплексное число ᠭᠡᠳᠡᠭ ᠢ ᠣᠷᠤᠰ-ᠮᠣᠩᠭᠤᠯ ᠨᠡᠷᠡ ᠲᠣᠮᠢᠶᠠᠨ ᠤ ᠲᠣᠯᠢ ᠳ᠋ᠤ "ᠬᠠᠪᠰᠤᠷᠠᠭᠰᠠ ᠲᠣᠭᠠ" (ᠺᠣᠮᠫ᠊ᠯᠧᠺᠰ<sup>complex</sup> ᠲᠣᠭᠠ) ᠬᠡᠮᠡᠵᠦᠬᠦᠢ᠃<ref>ᠡ᠊᠂ ᠸᠠᠩᠳᠤᠢ᠃ ᠣᠷᠤᠰ-ᠮᠣᠩᠭᠤᠯ ᠨᠡᠷ ᠡ᠋ ᠮᠣᠮᠢᠶᠠᠨ ᠤ ᠲᠣᠯᠢ᠃ ᠪᠦ᠊᠂ ᠨᠠ᠊᠂ ᠮᠣ᠊᠂ ᠠ᠊᠂ ᠤ᠊᠂ ᠤᠨ ᠰᠢᠨᠵᠢᠯᠡᠬᠦ ᠤᠬᠠᠭᠠᠨ ᠤ ᠠᠻᠠᠳᠧᠮᠢ᠃ ᠬᠡᠯᠡ ᠵᠣᠬᠢᠶᠠᠯ ᠤᠨ ᠬᠦᠷᠢᠶᠡᠯᠡᠩ᠃ ᠤᠯᠤᠰ ᠤᠨ ᠬᠡᠪᠯᠡᠯ ᠦᠨ ᠬᠡᠷᠡᠭ ᠡᠷᠬᠢᠯᠡᠬᠦ ᠬᠣᠷᠢᠶ ᠠ᠋᠃ ᠤᠯᠠᠭᠠᠨᠪᠠᠭᠠᠲᠤᠷ 1964᠃</ref> | ᠬᠠᠷᠢᠨ комплексное число ᠭᠡᠳᠡᠭ ᠢ ᠣᠷᠤᠰ-ᠮᠣᠩᠭᠤᠯ ᠨᠡᠷᠡ ᠲᠣᠮᠢᠶᠠᠨ ᠤ ᠲᠣᠯᠢ ᠳ᠋ᠤ "ᠬᠠᠪᠰᠤᠷᠠᠭᠰᠠ ᠲᠣᠭᠠ" (ᠺᠣᠮᠫ᠊ᠯᠧᠺᠰ<sup>complex</sup> ᠲᠣᠭᠠ) ᠬᠡᠮᠡᠵᠦᠬᠦᠢ᠃<ref>ᠡ᠊᠂ ᠸᠠᠩᠳᠤᠢ᠃ ᠣᠷᠤᠰ-ᠮᠣᠩᠭᠤᠯ ᠨᠡᠷ ᠡ᠋ ᠮᠣᠮᠢᠶᠠᠨ ᠤ ᠲᠣᠯᠢ᠃ ᠪᠦ᠊᠂ ᠨᠠ᠊᠂ ᠮᠣ᠊᠂ ᠠ᠊᠂ ᠤ᠊᠂ ᠤᠨ ᠰᠢᠨᠵᠢᠯᠡᠬᠦ ᠤᠬᠠᠭᠠᠨ ᠤ ᠠᠻᠠᠳᠧᠮᠢ᠃ ᠬᠡᠯᠡ ᠵᠣᠬᠢᠶᠠᠯ ᠤᠨ ᠬᠦᠷᠢᠶᠡᠯᠡᠩ᠃ ᠤᠯᠤᠰ ᠤᠨ ᠬᠡᠪᠯᠡᠯ ᠦᠨ ᠬᠡᠷᠡᠭ ᠡᠷᠬᠢᠯᠡᠬᠦ ᠬᠣᠷᠢᠶ ᠠ᠋᠃ ᠤᠯᠠᠭᠠᠨᠪᠠᠭᠠᠲᠤᠷ 1964᠃</ref> | ||
| 27-р мөр: | 30-р мөр: | ||
__TOC__ | __TOC__ | ||
<br> | <br> | ||
== ᠵᠠᠷᠢᠮ ᠦᠢᠯᠡᠳᠦᠯ == | == ᠵᠠᠷᠢᠮ ᠦᠢᠯᠡᠳᠦᠯ == | ||
<br> | <br> | ||
=== | === ᠦᠷᠡᠵᠢᠭᠦᠯᠬᠦ ᠬᠤᠪᠢᠶᠠᠬᠤ === | ||
ᠺᠣᠮᠫ᠊ᠯᠧᠺᠰ ᠲᠣᠭᠠ ᠢᠢ ᠬᠠᠭᠤᠷᠮᠠᠭ | [[ᠺᠣᠮᠫ᠊ᠯᠧᠺᠰ ᠲᠣᠭᠠ]] ᠢᠢ ᠬᠠᠭᠤᠷᠮᠠᠭ ᠨᠢᠭᠡᠴᠡ ᠪᠤᠶᠤ <span style="writing-mode: horizontal-tb;"><i>i</i></span> ᠲᠣᠭᠠᠨ ᠳ᠋ᠦ ᠦᠷᠡᠵᠢᠬᠦᠯᠦᠭᠰᠡᠨ ᠢᠢᠡᠷ᠄ | ||
<br><br> | <br><br> | ||
<span style="writing-mode: horizontal-tb;"> | <span style="writing-mode: horizontal-tb;"> | ||
| 43-р мөр: | 47-р мөр: | ||
ᠡᠨᠡ ᠨᠢ ᠺᠣᠮᠫ᠊ᠯᠧᠺᠰ ᠬᠠᠪᠲᠠᠭᠠᠢ ᠳᠡᠭᠡᠷᠡᠬᠢ ᠡᠬᠢᠯᠡᠯ ᠴᠡᠭ ᠢ ᠲᠣᠭᠤᠷᠢᠭᠤᠯᠤᠨ ᠸᠧᠺᠲ᠋ᠣᠷ ᠢ<sup>vector</sup> ᠨᠠᠷᠠ ᠪᠤᠷᠤᠭᠤ 90°ᠡᠷᠭᠢᠭᠦᠯᠦᠭᠰᠡᠨ ᠲᠡᠢ ᠠᠭᠠᠷ ᠨᠢᠭᠡᠨ ᠪᠤᠶ ᠠ᠋᠃ | ᠡᠨᠡ ᠨᠢ ᠺᠣᠮᠫ᠊ᠯᠧᠺᠰ ᠬᠠᠪᠲᠠᠭᠠᠢ ᠳᠡᠭᠡᠷᠡᠬᠢ ᠡᠬᠢᠯᠡᠯ ᠴᠡᠭ ᠢ ᠲᠣᠭᠤᠷᠢᠭᠤᠯᠤᠨ ᠸᠧᠺᠲ᠋ᠣᠷ ᠢ<sup>vector</sup> ᠨᠠᠷᠠ ᠪᠤᠷᠤᠭᠤ 90°ᠡᠷᠭᠢᠭᠦᠯᠦᠭᠰᠡᠨ ᠲᠡᠢ ᠠᠭᠠᠷ ᠨᠢᠭᠡᠨ ᠪᠤᠶ ᠠ᠋᠃ | ||
ᠬᠠᠭᠤᠷᠮᠠᠭ ᠨᠢᠭᠡᠴᠡ ᠳ᠋ᠦ ᠬᠤᠪᠢᠶᠠᠬᠤ ᠨᠢ <span style="writing-mode: horizontal-tb;"><i>i</i></span> ᠲᠣᠭᠠᠨ ᠤ ᠤᠷᠪᠠᠭᠤ ᠲᠣᠭᠠᠨ ᠳ᠋ᠤ ᠦᠷᠵᠢᠭᠦᠯᠬᠦ ᠲᠡᠢ | ᠬᠠᠭᠤᠷᠮᠠᠭ ᠨᠢᠭᠡᠴᠡ ᠳ᠋ᠦ ᠬᠤᠪᠢᠶᠠᠬᠤ ᠨᠢ <span style="writing-mode: horizontal-tb;"><i>i</i></span> ᠲᠣᠭᠠᠨ ᠤ ᠤᠷᠪᠠᠭᠤ ᠲᠣᠭᠠᠨ ᠳ᠋ᠤ ᠦᠷᠵᠢᠭᠦᠯᠬᠦ ᠲᠡᠢ ᠠᠭᠠᠷ ᠨᠢᠭᠡᠨ: | ||
<br><br> | <br><br> | ||
<span style="writing-mode: horizontal-tb;"> | <span style="writing-mode: horizontal-tb;"> | ||
| 100-р мөр: | 104-р мөр: | ||
</span></span> | </span></span> | ||
ᠡᠩ ᠦᠨ ᠢᠢᠡᠷ ᠠᠷᠭᠠᠴᠢᠯᠠᠪᠠᠰᠤ᠂ <span style="writing-mode: horizontal-tb;"><i>i</i></span> ᠲᠣᠭᠠᠨ ᠤ ᠵᠡᠷᠭᠡ ᠢᠢ | ᠡᠩ ᠦᠨ ᠢᠢᠡᠷ ᠠᠷᠭᠠᠴᠢᠯᠠᠪᠠᠰᠤ᠂ <span style="writing-mode: horizontal-tb;"><i>i</i></span> ᠲᠣᠭᠠᠨ ᠤ ᠵᠡᠷᠭᠡ ᠢᠢ ᠲᠣᠳᠤᠷᠬᠠᠶ᠋ᠢᠯᠠᠬᠤ ᠢᠢᠨ ᠲᠤᠯᠠᠳᠠ ᠡᠬᠢᠯᠡᠭᠡᠳ ᠢᠯᠡᠳᠬᠡᠭᠴᠢ ᠢᠢ<ref>ᠡ᠊᠂ ᠸᠠᠩᠳᠤᠢ᠃ ᠣᠷᠤᠰ-ᠮᠣᠩᠭᠤᠯ ᠨᠡᠷ ᠡ᠋ ᠮᠣᠮᠢᠶᠠᠨ ᠤ ᠲᠣᠯᠢ᠃ ᠬᠣᠶᠠᠳᠤᠭᠠᠷ ᠪᠣᠲᠢ᠃ ᠪᠦ᠊᠂ ᠨᠠ᠊᠂ ᠮᠣ᠊᠂ ᠠ᠊᠂ ᠤ᠊᠂ ᠤᠨ ᠰᠢᠨᠵᠢᠯᠡᠬᠦ ᠤᠬᠠᠭᠠᠨ ᠤ ᠠᠻᠠᠳᠧᠮᠢ᠃ ᠬᠡᠯᠡ ᠵᠣᠬᠢᠶᠠᠯ ᠤᠨ ᠬᠦᠷᠢᠶᠡᠯᠡᠩ᠃ ᠤᠯᠤᠰ ᠤᠨ ᠬᠡᠪᠯᠡᠯ ᠦᠨ ᠭᠠᠵᠠᠷ᠃ ᠤᠯᠠᠭᠠᠨᠪᠠᠭᠠᠲᠤᠷ 1970᠃</ref> <span style="writing-mode: horizontal-tb;">4</span> ᠳ᠋ᠦ ᠬᠤᠪᠢᠶᠠᠮᠤᠢ᠃ | ||
| 128-р мөр: | 132-р мөр: | ||
ᠡᠭᠦᠨ ᠳ᠋ᠦ <span style="writing-mode: horizontal-tb;">''k'' ∈ ℤ</span> ᠪᠤᠶᠤ ᠪᠦᠬᠦᠯᠢ ᠲᠣᠭ ᠠ᠋ ᠢᠢᠨ ᠣᠯᠠᠨᠯᠢᠭ᠃ | ᠡᠭᠦᠨ ᠳ᠋ᠦ <span style="writing-mode: horizontal-tb;">''k'' ∈ ℤ</span> ᠪᠤᠶᠤ ᠪᠦᠬᠦᠯᠢ ᠲᠣᠭ ᠠ᠋ ᠢᠢᠨ ᠣᠯᠠᠨᠯᠢᠭ᠃ | ||
<span style="writing-mode: horizontal-tb;">''k'' = 0</span> ᠨᠥᠭᠦᠴᠡᠯ ᠳ᠋ᠦ | <span style="writing-mode: horizontal-tb;">''k'' = 0</span> ᠪᠠᠢᠢᠭ ᠠ᠋ ᠨᠥᠭᠦᠴᠡᠯ ᠳ᠋ᠦ ᠦᠨᠳᠦᠰᠦᠨ ᠤᠳᠬ ᠠ᠋ ᠨᠢ <span style="writing-mode: horizontal-tb;"><i>e</i><sup>−''π''/2</sup></span> ᠪᠤᠶᠤ ᠣᠢᠢᠷᠠᠯᠴᠠᠭ ᠠ᠋ ᠪᠠᠷ <span style="writing-mode: horizontal-tb;">0.207879576</span> ᠪᠣᠯᠤᠨ ᠠ᠋᠃<ref>David Wells. The Penguin Dictionary of Curious and Interesting Numbers. UK: Penguin Books 1997. ISBN=0-14-026149-4</ref><ref>Brilliant. What is i to the power of i. https://brilliant.org/discussions/thread/what-is-i-to-the-power-of-i-T. ᠬᠠᠨᠳᠤᠭᠰᠠᠨ 2021/017/04</ref> | ||
| 137-р мөр: | 141-р мөр: | ||
|+ | |+ | ||
|[[File:3-root of imaginary unit,.svg|thumb]] | |[[File:3-root of imaginary unit,.svg|thumb]] | ||
|style = "height: 150px;"|<span style="writing-mode: horizontal-tb;"><i>i</i></span> ᠲᠣᠭᠠᠨ ᠤ ᠺᠦ᠋ᠪ ᠢᠵᠠᠭᠤᠷ ᠨᠢ ᠭᠤᠷᠪᠠᠯᠵᠢᠨ ᠤ ᠣᠷᠣᠢ ᠨᠤᠭᠤᠳ ᠋ᠲᠤ ᠬᠠᠷᠠᠭᠠᠯᠵᠠᠮᠤᠢ᠃ | |style = "height: 150px;"|<span style="writing-mode: horizontal-tb;"><i>i</i></span> ᠲᠣᠭᠠᠨ ᠤ ᠺᠦ᠋ᠪ<sup>cubic</sup> ᠢᠵᠠᠭᠤᠷ ᠨᠢ ᠭᠤᠷᠪᠠᠯᠵᠢᠨ ᠤ ᠣᠷᠣᠢ ᠨᠤᠭᠤᠳ ᠋ᠲᠤ ᠬᠠᠷᠠᠭᠠᠯᠵᠠᠮᠤᠢ᠃ | ||
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<br> | <br> | ||
| 167-р мөр: | 171-р мөр: | ||
==ᠨᠡᠷ ᠡ᠋ ᠲᠣᠮᠢᠶᠠᠯᠠᠯ== | ==ᠨᠡᠷ ᠡ᠋ ᠲᠣᠮᠢᠶᠠᠯᠠᠯ== | ||
ᠬᠠᠭᠤᠷᠮᠠᠭ ᠨᠢᠭᠡᠴᠡ | ᠬᠠᠭᠤᠷᠮᠠᠭ ᠨᠢᠭᠡᠴᠡ - imaginary unit - мнимая единица | ||
ᠬᠠᠭᠤᠷᠮᠠᠭ ᠲᠣᠭ ᠠ᠋ - imaginary number - чисто мнимое число | |||
ᠺᠣᠮᠫ᠊ᠯᠧᠺᠰ ᠲᠣᠭ ᠠ᠋ (ᠬᠠᠪᠰᠤᠷᠠᠭᠰᠠᠨ ᠲᠣᠭ ᠠ᠋) - complex number - комплексное число | |||
ᠪᠣᠳᠠᠲᠤ ᠲᠣᠭ ᠠ᠋ - real number - вещественное число (действительное число) | |||
ᠦᠷᠡᠵᠢᠭᠦᠯᠬᠦ - multiplication - умножение | |||
ᠬᠤᠪᠢᠶᠠᠬᠤ - division - деление | |||
ᠵᠡᠷᠭᠡ - power - степень | ᠵᠡᠷᠭᠡ - power - степень | ||
| 177-р мөр: | 187-р мөр: | ||
ᠢᠵᠠᠭᠤᠷ - root - корень | ᠢᠵᠠᠭᠤᠷ - root - корень | ||
ᠢᠯᠡᠳᠬᠡᠭᠴᠢ - exponent - экспонента | |||
ᠦᠯᠡᠳᠡᠭᠳᠡᠯ - remainder - остаток | ᠦᠯᠡᠳᠡᠭᠳᠡᠯ - remainder - остаток | ||