ᠬᠠᠭᠤᠷᠮᠠᠭ ᠲᠣᠭ ᠊ᠠ᠋: Засвар хоорондын ялгаа

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@@ 2-р мөр: / 2-р мөр: @@
 ᠪᠣᠳᠠᠲᠤ ᠬᠡᠰᠡᠭ ᠢᠨᠦ ᠲᠡᠭ <span style="writing-mode: horizontal-tb;"><i>(0)</i></span> ᠤᠳᠬ ‍ᠠ᠋ ᠲᠠᠢ [[ᠺᠣᠮᠫ᠊ᠯᠧᠺᠰ ᠲᠣᠭ᠎ᠠ]] ‍ᠢᠢ '''ᠬᠠᠭᠤᠷᠮᠠᠭ ᠲᠣᠭ᠎ ‍ᠠ᠋''' ᠬᠠᠮᠠᠮᠦᠢ᠃
-ᠬᠠᠭᠤᠷᠮᠠᠭ ᠲᠣᠭ᠎ ‍ᠠ᠋ ‍ᠢᠢ ᠺᠸᠠᠲᠷᠠᠲ ᠵᠡᠷᠭᠡ ᠳ᠋ᠦ ᠳᠡᠪᠰᠢᠭᠦᠯᠬᠦ ᠳ᠋ᠦ ᠬᠠᠰᠤᠬᠤ ᠤᠳᠬ ‍ᠠ᠋ ᠲᠠᠢ ᠬᠠᠷᠢᠭᠤ ᠭᠠᠷᠤᠨ᠎ ‍ᠠ᠋᠃<ref name=":0">https://www.livescience.com/42748-imaginary-numbers.html Live Science. Elaine J. Hom. What Are Imaginary Numbers? 2014/01/22. </ref>
+ᠬᠠᠭᠤᠷᠮᠠᠭ ᠲᠣᠭ᠎ ‍ᠠ᠋ ‍ᠢᠢ ᠺᠸᠠᠲᠷᠠᠲ<sup>quadrate</sup> ᠵᠡᠷᠭᠡ ᠳ᠋ᠦ ᠳᠡᠪᠰᠢᠭᠦᠯᠬᠦ ᠳ᠋ᠦ ᠬᠠᠰᠤᠬᠤ ᠤᠳᠬ ‍ᠠ᠋ ᠲᠠᠢ ᠬᠠᠷᠢᠭᠤ ᠭᠠᠷᠤᠨ᠎ ‍ᠠ᠋᠃<ref name=":0">https://www.livescience.com/42748-imaginary-numbers.html Live Science. Elaine J. Hom. What Are Imaginary Numbers? 2014/01/22. </ref>
-ᠲᠡᠭᠡᠬᠦ ᠪᠡᠷ ᠬᠠᠭᠤᠷᠮᠠᠭ ᠲᠠᠭ᠎ ‍ᠠ᠋ ᠠᠨᠤ ᠬᠠᠰᠤᠬᠤ ᠤᠳᠬ ‍ᠠ᠋ ᠲᠠᠶ ᠲᠣᠭᠠᠨ ‍ᠤ ᠬᠸᠠᠲᠷᠠᠲ ᠢᠵᠠᠭᠤᠷ ᠮᠥᠨ᠃
+ᠲᠡᠭᠡᠬᠦ ᠪᠡᠷ ᠬᠠᠭᠤᠷᠮᠠᠭ ᠲᠣᠭ᠎ ‍ᠠ᠋ ᠠᠨᠤ ᠬᠠᠰᠤᠬᠤ ᠤᠳᠬ ‍ᠠ᠋ ᠲᠠᠶ ᠲᠣᠭᠠᠨ ‍ᠤ ᠬᠸᠠᠲᠷᠠᠲ ᠢᠵᠠᠭᠤᠷ ᠮᠥᠨ᠃
 ᠲᠡᠭ <span style="writing-mode: horizontal-tb;"><i>(0)</i></span> ᠲᠣᠭ᠎ ‍ᠠ᠋ ᠪᠣᠳᠠᠲᠤ ᠪᠤᠶᠤ ᠬᠠᠭᠤᠷᠮᠠᠭ ᠲᠣᠭ᠎ ‍ᠠ᠋ ᠠᠯᠢ ᠨᠢ ᠴᠤ ᠪᠠᠢᠢᠵᠤ ᠪᠣᠯᠤᠨ᠎ ‍ᠠ᠋᠃
@@ 13-р мөр: / 13-р мөр: @@
 == ᠳᠦᠷᠰᠦᠯᠡᠯ ==
-ᠺᠣᠮᠫ᠊ᠯᠧᠺᠰ ᠲᠣᠭ᠎ᠠ ‍ᠢᠢᠨ ᠬᠠᠪᠲᠠᠭᠠᠢ ᠨᠢ ᠬᠡᠪᠲᠡᠭᠡ ᠲᠡᠩᠬᠡᠯᠭᠡ ᠪᠠ ᠪᠣᠰᠤᠭ᠎ ‍ᠠ᠋ ᠲᠡᠩᠬᠡᠯᠭᠡ ᠡᠴᠡ ᠪᠦᠷᠢᠳᠦᠳᠡᠭ᠃
+<br>
+{| class="wikitable"
+|+
+|[[File:Rotations_on_the_complex_plane.svg|thumb]]
+|style = "height: 150px;"|ᠬᠠᠭᠤᠷᠮᠠᠭ ᠲᠣᠭ᠎ᠠ ᠪᠦᠬᠦᠢ ᠲᠣᠭᠠᠴᠠᠭᠠᠯᠠᠯ ‍ᠤᠨ ᠳᠦᠷᠰᠦᠯᠡᠯ᠃
+|}
+<br>
-ᠬᠠᠭᠤᠷᠮᠠᠬ ᠲᠣᠭ᠎ ‍ᠠ᠋ ‍ ‍ᠢᠢᠨ ᠣᠯᠠᠨᠯᠢᠭ ᠪᠣᠰᠤᠭ᠎ ‍ᠠ᠋ ᠲᠡᠩᠬᠡᠯᠭᠡ ᠳ᠋ᠦ ᠪᠠᠢᠢᠷᠢᠰᠢᠳᠠᠭ᠃
+ᠺᠣᠮᠫ᠊ᠯᠧᠺᠰ ᠲᠣᠭ᠎ᠠ ‍ᠢᠢᠨ ᠬᠠᠪᠲᠠᠭᠠᠢ ᠨᠢ ᠬᠡᠪᠲᠡᠭᠡ ᠲᠡᠩᠬᠡᠯᠢᠭ ᠪᠠ ᠪᠣᠰᠤᠭ᠎ ‍ᠠ᠋ ᠲᠡᠩᠬᠡᠯᠢᠭ ᠡᠴᠡ ᠪᠦᠷᠢᠳᠦᠳᠡᠭ᠃
-ᠬᠡᠪᠲᠡᠭᠡ ᠲᠡᠩᠬᠡᠯᠭᠡ ᠳ᠋ᠦ ᠪᠣᠳᠠᠲᠤ ᠲᠣᠭ᠎ ‍ᠠ᠋ ‍ᠢᠢᠨ ‍ᠢ ᠪᠠᠢᠢᠷᠢᠰᠢᠭᠤᠯᠳᠠᠭ᠃
+ᠬᠠᠭᠤᠷᠮᠠᠬ ᠲᠣᠭ᠎ ‍ᠠ᠋ ‍ ‍ᠢᠢᠨ ᠣᠯᠠᠨᠯᠢᠭ ᠪᠣᠰᠤᠭ᠎ ‍ᠠ᠋ ᠲᠡᠩᠬᠡᠯᠢᠭ ᠲᠦ ᠪᠠᠢᠢᠷᠢᠰᠢᠳᠠᠭ᠃
+ᠬᠡᠪᠲᠡᠭᠡ ᠲᠡᠩᠬᠡᠯᠢᠭ ᠲᠦ ᠪᠣᠳᠠᠲᠤ ᠲᠣᠭ᠎ ‍ᠠ᠋ ‍ᠢᠢ ᠪᠠᠢᠢᠷᠢᠰᠢᠭᠤᠯᠳᠠᠭ᠃
 ᠭᠧᠣᠮᠧᠲ᠋ᠧᠷ ᠳᠦᠷᠰᠦᠯᠡᠯ ᠳ᠋ᠦ ‍<span style="writing-mode: horizontal-tb;"><i>–1</i></span> ‍‍ᠢᠢᠡᠷ ᠦᠷᠡᠵᠢᠭᠦᠯᠬᠦ ᠡᠬᠢᠯᠡᠯ ᠴᠡᠭ ‍ᠢ ᠲᠣᠭᠤᠷᠢᠭᠰᠠᠨ <span style="writing-mode: horizontal-tb;"><i>180</i></span> ᠬᠡᠮ ‍ᠦᠨ ᠡᠷᠭᠢᠯᠲᠡ ᠪᠣᠯᠤᠨ᠎ ‍ᠠ᠋᠃ ‍
-i ᠲᠣᠭ᠎ ‍ᠠ᠋ ‍ᠪᠡᠷ ᠦᠷᠡᠵᠢᠯᠭᠦᠯᠬᠦ ᠢᠨᠦ ᠨᠠᠷᠠ ᠪᠤᠷᠤᠭᠤ “ᠡᠷᠡᠭᠦ” ᠴᠢᠭ᠌ ᠲᠦ <span style="writing-mode: horizontal-tb;"><i>90</i></span> ᠬᠡᠮ ‍ᠦᠨ ᠡᠷᠭᠢᠯᠲᠡ ᠪᠣᠯᠬᠤ ᠪᠠ ᠬᠡᠷᠪᠡ <span style="writing-mode: horizontal-tb;"><i>i2 = -1</i></span> ᠭᠡᠰᠡᠨ ᠲᠡᠭᠰᠢᠳᠬᠡᠯ ᠢᠨᠦ ᠡᠬᠢᠯᠡᠯ ᠴᠡᠭ ‍ᠢ ᠲᠣᠭᠤᠷᠢᠭᠰᠠᠨ <span style="writing-mode: horizontal-tb;"><i>90</i></span> ᠬᠡᠮ ‍ᠦᠨ ᠬᠣᠶᠠᠷ ᠡᠷᠭᠢᠯᠲᠡ ᠭᠡᠵᠦ ᠦᠵᠡᠪᠡᠯ ᠦᠷ ‍ᠡ᠋ ᠳ᠋ᠦ᠋ᠩ ᠢᠨᠦ ᠭᠠᠭᠴᠠ <span style="writing-mode: horizontal-tb;"><i>180</i></span> ᠬᠡᠮ ‍ᠦᠨ ᠡᠷᠭᠢᠯᠲᠡ ᠪᠣᠯᠤᠨ᠎ ‍ᠠ᠋᠃
+<span style="writing-mode: horizontal-tb;"><i>i</i></span> ᠲᠣᠭ᠎ ‍ᠠ᠋ ‍ᠪᠡᠷ ᠦᠷᠡᠵᠢᠯᠭᠦᠯᠬᠦ ᠢᠨᠦ ᠨᠠᠷᠠ ᠪᠤᠷᠤᠭᠤ “ᠡᠶᠡᠷᠭᠦ” ᠴᠢᠭ᠌ ᠲᠦ <span style="writing-mode: horizontal-tb;"><i>90</i></span> ᠬᠡᠮ ‍ᠦᠨ ᠡᠷᠭᠢᠯᠲᠡ ᠪᠣᠯᠬᠤ ᠪᠠ ᠬᠡᠷᠪᠡ <span style="writing-mode: horizontal-tb;"><i>i2 = -1</i></span> ᠭᠡᠰᠡᠨ ᠲᠡᠭᠰᠢᠳᠬᠡᠯ ᠢᠨᠦ ᠡᠬᠢᠯᠡᠯ ᠴᠡᠭ ‍ᠢ ᠲᠣᠭᠤᠷᠢᠭᠰᠠᠨ <span style="writing-mode: horizontal-tb;"><i>90</i></span> ᠬᠡᠮ ‍ᠦᠨ ᠬᠣᠶᠠᠷ ᠡᠷᠭᠢᠯᠲᠡ ᠭᠡᠵᠦ ᠦᠵᠡᠪᠡᠯ ᠦᠷ ‍ᠡ᠋ ᠳ᠋ᠦ᠋ᠩ ᠢᠨᠦ ᠭᠠᠭᠴᠠ <span style="writing-mode: horizontal-tb;"><i>180</i></span> ᠬᠡᠮ ‍ᠦᠨ ᠡᠷᠭᠢᠯᠲᠡ ᠪᠣᠯᠤᠨ᠎ ‍ᠠ᠋᠃
-“ᠰᠥᠷᠭᠦ” (ᠨᠠᠷᠠ ᠵᠥᠪ) ᠴᠢᠭ᠌ ᠲᠦ <span style="writing-mode: horizontal-tb;"><i>90</i></span> ᠬᠡᠮ ᠡᠷᠭᠢᠬᠦ ᠢᠨᠦ ᠮᠥᠨ ᠡᠨᠡ ᠳᠦᠷᠰᠦᠯᠡᠯ ᠳ᠋ᠦ ᠨᠡᠶᠢᠴᠡᠬᠦ ᠪᠠ <span style="writing-mode: horizontal-tb;"><i>x2 = -1</i></span> ᠭᠡᠰᠡᠨ ᠲᠡᠭᠰᠢᠳᠬᠡᠯ ‍ᠦᠨ ᠰᠶ᠋ᠢᠳ <span style="writing-mode: horizontal-tb;"><i>−i</i></span> ᠪᠣᠯᠬᠤ ‍ᠢ ᠬᠠᠷᠠᠭᠤᠯᠵᠤ ᠪᠠᠢᠢᠨ᠎ ‍ᠠ᠋᠃
+“ᠰᠥᠷᠭᠦ” (ᠨᠠᠷᠠ ᠵᠥᠪ) ᠴᠢᠭ᠌ ᠲᠦ <span style="writing-mode: horizontal-tb;"><i>90</i></span> ᠬᠡᠮ ᠡᠷᠭᠢᠬᠦ ᠢᠨᠦ ᠮᠥᠨ ᠡᠨᠡ ᠳᠦᠷᠰᠦᠯᠡᠯ ᠳ᠋ᠦ ᠨᠡᠶ᠋ᠢᠴᠡᠬᠦ ᠪᠠ <span style="writing-mode: horizontal-tb;"><i>x2 = -1</i></span> ᠭᠡᠰᠡᠨ ᠲᠡᠭᠰᠢᠳᠬᠡᠯ ‍ᠦᠨ ᠰᠶ᠋ᠢᠳ <span style="writing-mode: horizontal-tb;"><i>−i</i></span> ᠪᠣᠯᠬᠤ ‍ᠢ ᠬᠠᠷᠠᠭᠤᠯᠵᠤ ᠪᠠᠢᠢᠨ᠎ ‍ᠠ᠋᠃
-ᠶᠡᠷᠦᠩᠬᠡᠢᠢ ᠳ᠋ᠦ ᠪᠡᠨ ᠺᠣᠮᠫ᠊ᠯᠧᠻᠰ ᠲᠣᠭ᠎ ‍ᠠ᠋ ᠪᠠᠷ ᠦᠷᠡᠵᠢᠯᠭᠦᠯᠬᠦ ᠢᠨᠦ ᠡᠬᠢᠯᠡᠯ ᠴᠡᠭ ‍ᠢ ᠲᠣᠭᠤᠷᠢᠭᠤᠯᠤᠨ ᠻᠣᠮᠫ᠊ᠯᠧᠻᠰ ᠲᠣᠭᠠᠨ ‍ᠤ ᠠᠷᠭᠤᠮᠧᠨ᠍ᠲ ‍ᠢᠢᠠᠷ ᠡᠷᠭᠢᠭᠦᠯᠵᠦ᠂ ᠴᠠᠷ ᠬᠡᠮᠵᠢᠶ ‍ᠡ᠋ ᠪᠡᠷ ᠢᠨᠦ ᠤᠷᠲᠤ ‍ᠢᠢ ᠴᠢᠴᠠᠤᠯᠠᠬᠤ ᠦᠢᠯᠡᠳᠦᠯ ᠪᠣᠯᠤᠨ᠎ᠠ᠃
+ᠶᠡᠷᠦᠩᠬᠡᠢᠢ ᠳ᠋ᠦ ᠪᠡᠨ ᠺᠣᠮᠫ᠊ᠯᠧᠻᠰ ᠲᠣᠭ᠎ ‍ᠠ᠋ ᠪᠠᠷ ᠦᠷᠡᠵᠢᠯᠭᠦᠯᠬᠦ ᠢᠨᠦ ᠡᠬᠢᠯᠡᠯ ᠴᠡᠭ ‍ᠢ ᠲᠣᠭᠤᠷᠢᠭᠤᠯᠤᠨ ᠻᠣᠮᠫ᠊ᠯᠧᠻᠰ ᠲᠣᠭᠠᠨ ‍ᠤ ᠠᠷᠭᠤᠮᠧᠨ᠍ᠲ<sup>argument</sup> ‍ᠢᠢᠠᠷ ᠡᠷᠭᠢᠭᠦᠯᠵᠦ᠂ ᠴᠠᠷ ᠬᠡᠮᠵᠢᠶ ‍ᠡ᠋ ᠪᠡᠷ ᠢᠨᠦ ᠤᠷᠲᠤ ‍ᠢᠢ ᠴᠢᠴᠠᠤᠯᠠᠬᠤ ᠦᠢᠯᠡᠳᠦᠯ ᠪᠣᠯᠤᠨ᠎ᠠ᠃
-ᠻᠣᠮᠫ᠊ᠯᠧᠻᠰ ᠲᠣᠭᠠᠨ ‍ᠤ ᠠᠷᠭᠤᠮᠧᠨ᠍ᠲ ᠭᠡᠳᠡᠭ ᠢᠨᠦ ᠪᠣᠳᠠᠲᠤ ᠲᠣᠭᠠᠨ ‍ᠤ ᠲᠡᠩᠬᠡᠯᠢᠭ ᠪᠠ ᠡᠬᠢᠯᠠᠯ ᠴᠡᠭ ‍ᠢ ᠻᠣᠮᠫ᠊ᠯᠧᠻᠰ ᠲᠣᠭᠠᠨ z ᠲᠡᠢ ᠬᠣᠯᠪᠤᠵᠤ ᠪᠠᠢᠢᠭ᠎ᠠ ᠱᠤᠭᠤᠮ ᠬᠣᠭᠤᠷᠤᠨᠳᠤ ‍ᠢᠢᠨ ᠥᠨᠴᠦᠭ  <span style="writing-mode: horizontal-tb;"><i>φ</i></span> ᠶᠤᠮ᠃
+ᠻᠣᠮᠫ᠊ᠯᠧᠻᠰ ᠲᠣᠭᠠᠨ ‍ᠤ ᠠᠷᠭᠤᠮᠧᠨ᠍ᠲ ᠭᠡᠳᠡᠭ ᠢᠨᠦ ᠪᠣᠳᠠᠲᠤ ᠲᠣᠭᠠᠨ ‍ᠤ ᠲᠡᠩᠬᠡᠯᠢᠭ ᠪᠠ ᠡᠬᠢᠯᠠᠯ ᠴᠡᠭ ‍ᠢ ᠻᠣᠮᠫ᠊ᠯᠧᠻᠰ ᠲᠣᠭ᠎ᠠ z ᠲᠡᠢ ᠬᠣᠯᠪᠤᠵᠤ ᠪᠠᠢᠢᠭ᠎ᠠ ᠱᠤᠭᠤᠮ ᠬᠣᠭᠤᠷᠤᠨᠳᠤ ‍ᠢᠢᠨ ᠥᠨᠴᠦᠭ  <span style="writing-mode: horizontal-tb;"><i>φ</i></span> ᠶᠤᠮ᠃
+<br>
+{| class="wikitable"
+|+
+|[[File:Complex_number_illustration_modarg.svg|thumb]]
+|style = "height: 150px;"|ᠪᠣᠳᠠᠲᠤ ᠲᠣᠭ᠎ᠠ ‍ᠢᠢᠨ ᠲᠡᠩᠬᠡᠯᠢᠭ ᠪᠠ ᠬᠠᠭᠤᠷᠮᠠᠭ ᠲᠣᠭ᠎ᠠ ‍ᠢᠢᠨ ᠲᠡᠩᠬᠡᠯᠢᠭ ᠲᠦ ᠻᠣᠮᠫ᠊ᠯᠧᠻᠰ<sup>complex</sup> ᠲᠣᠭ᠎ᠠ ‍ᠢᠢᠨ ᠠᠷᠭᠤᠮᠧᠨ᠍ᠲ<sup>argument</sup> ᠨᠢ ᠥᠨᠴᠦᠭ <span style="writing-mode: horizontal-tb;"><i>φ</i></span>᠃
+|}
+<br>
 ==ᠬᠡᠷᠡᠭᠯᠡᠭᠡ==
-[[ᠬᠠᠭᠤᠷᠮᠠᠭ ᠨᠢᠭᠡᠴᠡ]] ‍ᠢᠢ ''i'' ᠦᠰᠦᠭ ‍ᠢᠢᠡᠷ ᠲᠡᠮᠳᠡᠭᠯᠡᠬᠦ ᠠᠭᠠᠳ ᠧᠯᠧᠺᠲ᠋ᠷᠣᠨᠢᠭ᠌ ᠲᠦ<sup>electronic</sup> ''j'' ᠦᠰᠦᠭ ‍ᠢᠢᠡᠷ ᠲᠡᠮᠳᠡᠭᠯᠡᠨ᠎ ‍ᠡ᠋᠃
+[[ᠬᠠᠭᠤᠷᠮᠠᠭ ᠨᠢᠭᠡᠴᠡ]] ‍ᠢᠢ <span style="writing-mode: horizontal-tb;"><i>i</i></span> ᠦᠰᠦᠭ ‍ᠢᠢᠡᠷ ᠲᠡᠮᠳᠡᠭᠯᠡᠬᠦ ᠠᠭᠠᠳ ᠧᠯᠧᠺᠲ᠋ᠷᠣᠨᠢᠭ᠌ ᠲᠦ<sup>electronic</sup> <span style="writing-mode: horizontal-tb;"><i>j</i></span> ᠦᠰᠦᠭ ‍ᠢᠢᠡᠷ ᠲᠡᠮᠳᠡᠭᠯᠡᠨ᠎ ‍ᠡ᠋᠃
+ᠡᠨᠡ ᠢᠨᠦ <span style="writing-mode: horizontal-tb;"><i>i</i></span> ᠦᠰᠦᠭ ‍ᠢᠢᠡᠷ ᠲᠡᠮᠳᠡᠭᠯᠡᠳᠡᠭ ᠴᠠᠬᠢᠯᠭᠠᠨ ᠭᠦᠶᠦᠳᠡᠯ ᠡᠴᠡ ᠢᠯᠭᠠᠬᠤ ᠱᠠᠭᠠᠷᠳᠠᠯᠭ᠎ ‍ᠠ᠋ ᠡᠴᠡ ᠤᠷᠭᠤᠨ ᠭᠠᠷᠤᠭᠰᠠᠨ ᠤᠯᠠᠮᠵᠢᠯᠠᠯ ᠶᠤᠮ᠃
+ᠬᠠᠭᠤᠷᠮᠠᠭ ᠲᠣᠭ᠎ ‍ᠠ᠋ ᠧᠯᠧᠺᠲ᠋ᠷᠣᠨᠢᠭ᠌ ᠲᠦ᠂ ᠢᠯᠠᠩᠭᠤᠶ ‍ᠠ᠋ ᠬᠤᠪᠢᠰᠬᠤ ᠭᠦᠶᠦᠳᠡᠯ ᠳ᠋ᠦ ᠣᠨᠴᠤᠭᠤᠢ ᠠᠴᠢ ᠬᠣᠯᠪᠤᠭᠳᠠᠯ ᠲᠠᠢ᠃
+ᠬᠤᠪᠢᠰᠬᠤ ᠭᠦᠶᠦᠳᠡᠯ ᠰᠢᠨᠦ᠋ᠰ<sup>sinus</sup> ᠳᠣᠯᠭᠢᠶᠠᠨ ‍ᠳᠤ ᠨᠡᠮᠡᠬᠦ ᠪᠠ ᠬᠠᠰᠤᠬᠤ ‍ᠢᠢᠨ ᠬᠣᠭᠤᠷᠤᠨᠳᠤ ᠰᠣᠯᠢᠭᠳᠠᠳᠠᠭ᠃<ref>https://www.electricaltechnology.org/2013/07/active-reactive-apparent-and-complex.html Electrical Technology. Active, Reactive, Apparent and Complex Power. ᠬᠠᠨᠳᠤᠭᠰᠠᠨ 2021/07/31</ref>
+<br>
+{| class="wikitable"
+|+
+|[[File:Cmplxpower.svg|thumb]]
+|style = "height: 150px;"|ᠬᠤᠪᠢᠰᠬᠤ ᠭᠦᠶᠦᠳᠡᠯ ᠪᠦᠬᠦᠢ ᠡᠷᠴᠢᠮ ᠬᠦᠴᠦ᠃ <span style="writing-mode: horizontal-tb;"><i>P</i></span> ᠢᠨᠦ ᠢᠳᠡᠪᠬᠢᠲᠦ ᠴᠢᠳᠠᠯ᠂ <span style="writing-mode: horizontal-tb;"><i>Q</i></span> ᠢᠨᠦ ᠬᠠᠷᠢᠭᠤ ᠢᠳᠡᠪᠬᠢᠲᠦ ᠴᠢᠳᠠᠯ᠂ <span style="writing-mode: horizontal-tb;"><i>S</i></span> ᠨᠡᠶ᠋ᠢᠯᠡᠪᠦᠷᠢ ᠴᠢᠳᠠᠯ᠃
+|}
+<br>
+ᠳᠣᠯᠭᠢᠶᠠᠨ ‍ᠢ ᠶᠠᠪ ᠴᠠᠪ ᠲᠠᠭᠠᠷᠠᠭᠤᠯᠬᠤ ᠬᠡᠴᠡᠭᠦᠦ ᠲᠤᠯᠠ ᠬᠤᠪᠢᠰᠬᠤ ᠭᠦᠶᠦᠳᠡᠯ ‍ᠦᠳ ‍ᠢ ᠳᠠᠪᠬᠤᠷᠯᠠᠬᠤ ᠨᠡᠨ ᠲᠦᠪᠡᠭ ᠲᠡᠢ᠃
+ᠬᠠᠷᠢᠨ ᠲᠥᠰᠦᠭᠡᠯᠡᠯ ᠭᠦᠶᠦᠳᠡᠯ ‍ᠢ ᠪᠣᠳᠠᠲᠤ ᠲᠣᠭ᠎ ‍ᠠ᠋ ᠨᠤᠭᠤᠳ ᠲᠠᠶ ᠬᠣᠣᠰᠮᠠᠭᠯᠠᠭᠤᠯᠤᠭᠰᠠᠨ ‍ᠢᠢᠠᠷ ᠬᠤᠪᠢᠰᠬᠤ ᠭᠦᠶᠦᠳᠡᠯ ‍ᠦᠨ ᠲᠣᠭᠠᠴᠠᠭ᠎ ‍ᠠ᠋ ᠬᠢᠵᠦ᠂ ᠴᠠᠬᠢᠯᠭᠠᠨ ‍ᠤ ᠣᠰᠤᠯ ᠡᠴᠡ ᠤᠷᠢᠳᠤᠴᠢᠯᠠᠨ ᠰᠡᠷᠭᠡᠢᠢᠯᠡᠬᠦ ᠲᠤᠰᠠ ᠲᠠᠢ ᠪᠠᠢᠢᠳᠠᠭ᠃
+ᠬᠠᠭᠤᠷᠮᠠᠭ ᠲᠣᠭ᠎ ‍ᠠ᠋ ‍ᠢᠢ ᠮᠥᠨ ᠰᠢᠭ᠌ᠨᠠᠯ<sup>signal</sup> ᠪᠣᠯᠪᠠᠰᠤᠷᠠᠭᠤᠯᠬᠤ ᠲᠧᠺᠨᠣᠯᠣᠭᠢ ᠳ᠋ᠤ<sup>technology</sup> ᠠᠰᠢᠭᠯᠠᠳᠠᠭ᠃
+ᠡᠨᠡ ᠨᠢ ᠡᠭᠦᠷ ᠦᠨ ᠬᠣᠯᠪᠤᠭ᠎ ‍ᠠ᠋᠂ ᠤᠲᠠᠰᠤ ᠦᠭᠡᠢ ᠳᠠᠮᠵᠢᠭᠤᠯᠤᠯᠲᠠ᠂ ᠷᠠᠳᠠᠷ<sup>radar</sup>᠂ ᠪᠢᠣᠯᠣᠭᠢ<sup>biology</sup> (ᠲᠠᠷᠢᠬᠢᠨ ‍ᠤ ᠳᠣᠯᠭᠢᠶᠠᠨ) ᠰᠤᠳᠤᠯᠬᠤ ᠳ᠋ᠤ ᠬᠠᠮᠢᠶᠠᠷᠤᠨ᠎ ‍ᠠ᠋᠃
+ᠶᠡᠷᠦ᠂ ᠰᠢᠨᠦ᠋ᠰ ᠪᠠ ᠺᠣᠰᠢᠨᠦ᠋ᠰ<sup>cosinus</sup> ᠳᠣᠯᠭᠢᠶᠠᠨ ᠪᠦᠬᠦᠢ ᠵᠦᠢᠯ ‍ᠢ ᠬᠡᠮᠵᠢᠬᠦ᠂ ᠲᠣᠭᠠᠴᠠᠭᠠᠯᠬᠤ ᠳ᠋ᠤ ᠬᠠᠭᠤᠷᠮᠠᠭ ᠲᠣᠭ᠎ ‍ᠠ᠋ ᠴᠢᠬᠤᠯᠠ ᠬᠡᠷᠡᠭ ᠲᠡᠢ᠃<ref name=":0" />
+==ᠨᠡᠷ ‍ᠡ᠋ ᠲᠣᠮᠢᠶᠠᠯᠠᠯ==
+ᠪᠣᠳᠠᠲᠤ ᠲᠣᠭ᠎ᠠ - real number - действительное число
+ᠬᠠᠭᠤᠷᠮᠠᠭ ᠨᠢᠭᠡᠴᠡ - imaginary unit - мнимая единица
+ᠬᠠᠭᠤᠷᠮᠠᠭ ᠲᠣᠭ᠎ᠠ - imaginary number - чисто мнимое число
+ᠺᠣᠮᠫ᠊ᠯᠧᠺᠰ ᠲᠣᠭ᠎ᠠ - complex number - комплексное число
+ᠪᠣᠳᠠᠲᠤ ᠬᠡᠰᠡᠭ - real part - действительная часть
-ᠡᠨᠡ ᠢᠨᠦ ''i'' ᠦᠰᠦᠭ ‍ᠢᠢᠡᠷ ᠲᠡᠮᠳᠡᠭᠯᠡᠳᠡᠭ ᠴᠠᠬᠢᠯᠭᠠᠨᠭᠦᠶᠦᠳᠦᠯ ᠡᠴᠡ ᠢᠯᠭᠠᠬᠤ ᠱᠠᠭᠠᠷᠳᠠᠯᠭ᠎ ‍ᠠ᠋ ᠡᠴᠡ ᠤᠷᠭᠠᠨ ᠭᠠᠷᠤᠭᠰᠠᠨ ᠤᠯᠠᠮᠵᠢᠯᠠᠯ ᠶᠤᠮ᠃
+ᠬᠠᠭᠤᠷᠮᠠᠭ ᠬᠡᠰᠡᠭ - imaginaty part - мнимая часть
-ᠬᠠᠭᠤᠷᠮᠠᠭ ᠲᠣᠭ᠎ ‍ᠠ᠋ ᠧᠯᠧᠺᠲ᠋ᠷᠣᠨᠢᠭ᠌ ᠲᠦ᠂ ᠢᠯᠠᠩᠭᠤᠶ ‍ᠠ᠋ ᠬᠤᠪᠢᠰᠬᠤ ᠭᠦᠶᠦᠳᠦᠯ ᠳ᠋ᠦ ᠣᠩᠴᠤᠭᠤᠢ ᠠᠴᠢ ᠬᠣᠯᠪᠤᠭᠳᠠᠯ ᠲᠠᠢ᠃
+ᠲᠡᠩᠬᠡᠯᠢᠭ - axis - ось
-ᠬᠤᠪᠢᠰᠬᠤ ᠭᠦᠶᠦᠳᠦᠯ ᠰᠢᠨᠦ᠋ᠰ<sup>sinus</sup> ᠳᠣᠯᠭᠢᠶᠠᠨ ‍ᠳᠤ ᠨᠡᠮᠡᠬᠦ ᠪᠠ ᠬᠠᠰᠤᠬᠤ ‍ᠢᠢᠨ ᠬᠣᠭᠤᠷᠤᠨᠳᠤ ᠰᠣᠯᠢᠭᠳᠠᠳᠠᠭ᠃
+ᠣᠯᠠᠨᠯᠢᠭ - set - множество
-ᠳᠣᠯᠭᠢᠶᠠᠨ ‍ᠢ ᠶᠠᠪ ᠴᠠᠪ ᠲᠠᠭᠠᠷᠠᠭᠤᠯᠬᠤ ᠬᠡᠴᠡᠭᠦ ᠲᠤᠯᠠ ᠬᠤᠪᠢᠰᠬᠤ ᠭᠦᠶᠦᠳᠦᠯ ‍ᠦᠳ ‍ᠢ ᠳᠠᠪᠬᠤᠷᠯᠠᠬᠤ ᠨᠡᠨ ᠲᠦᠪᠡᠭ ᠲᠡᠢ᠃
+ᠡᠶᠡᠷᠭᠦ - positive - положительный
-ᠬᠠᠷᠢᠨ ᠲᠥᠰᠦᠭᠡᠯᠡᠯ ᠭᠦᠶᠦᠳᠦᠯ ‍ᠢ ᠪᠣᠳᠠᠲᠤ ᠲᠣᠭ᠎ ‍ᠠ᠋ ᠨᠤᠭᠤᠳ ᠲᠠᠶ ᠬᠣᠣᠰᠮᠠᠭᠯᠠᠭᠤᠯᠤᠭᠰᠠᠨ ‍ᠢᠢᠠᠷ ᠬᠤᠪᠢᠰᠬᠤ ᠭᠦᠶᠦᠳᠦᠯ ‍ᠦᠨ ᠲᠣᠭᠠᠴᠠᠭ᠎ ‍ᠠ᠋ ᠬᠢᠵᠦ᠂ ᠴᠠᠬᠢᠯᠭᠠᠨ ‍ᠤ ᠣᠰᠤᠯ ᠡᠴᠡ ᠤᠷᠢᠳᠤᠴᠢᠯᠠᠨᠰᠡᠷᠭᠡᠢᠢᠯᠬᠦ ᠲᠤᠰᠠ ᠲᠠᠢ ᠪᠠᠢᠢᠳᠠᠭ᠃
+ᠰᠥᠷᠭᠦ - negative - отрицательный
-ᠬᠠᠭᠤᠷᠮᠠᠭ ᠲᠠᠭ᠎ ‍ᠠ᠋ ‍ᠢᠢ ᠮᠥᠨ ᠰᠢᠭ᠌ᠨᠠᠯ<sup>signal</sup> ᠪᠣᠯᠪᠠᠰᠤᠷᠠᠭᠤᠯᠬᠤ ᠲᠧᠺᠨᠣᠯᠣᠭᠢ ᠳ᠋ᠤ<sup>technology</sup> ᠠᠰᠢᠭᠯᠠᠳᠠᠭ᠃
+ᠲᠡᠭᠰᠢᠳᠬᠡᠯ - equation - уравнение
-ᠡᠨᠡ ᠨᠢ ᠡᠭᠦᠷᠦᠨ ᠬᠣᠯᠪᠤᠭ᠎ ‍ᠠ᠋᠂ ᠤᠲᠠᠰᠤ ᠦᠭᠡᠢ ᠳᠠᠮᠵᠢᠭᠤᠯᠤᠯᠲᠠ᠂ ᠷᠠᠳᠠᠷ᠂ ᠪᠢᠣᠯᠣᠭᠢ (ᠲᠠᠷᠢᠬᠢᠨ ‍ᠤ ᠳᠣᠯᠭᠢᠶᠠᠨ) ᠰᠤᠳᠤᠯᠬᠤ ᠳ᠋ᠤ ᠬᠠᠮᠢᠶᠠᠷᠠᠨ᠎ ‍ᠠ᠋᠃
+ᠡᠷᠭᠢᠯᠲᠡ - rotation - поворот
-ᠶᠡᠷᠦ᠂ ᠰᠢᠨᠦ᠋ᠰ ᠪᠠ ᠺᠣᠰᠢᠨᠦ᠋ᠰ ᠳᠣᠯᠭᠢᠶᠠᠨ ᠪᠦᠬᠦᠢ ᠵᠦᠢᠯ ‍ᠢ ᠬᠡᠮᠵᠢᠬᠦ᠂ ᠲᠣᠭᠠᠴᠠᠭᠠᠯᠬᠤ ᠳ᠋ᠤ ᠬᠠᠭᠤᠷᠮᠠᠭ ᠲᠣᠭ᠎ ‍ᠠ᠋ ᠴᠢᠬᠤᠯᠠ ᠬᠡᠷᠡᠭ ᠲᠡᠢ᠃<ref name=":0" />
+ᠬᠡᠮ - degree - градус
 ==ᠡᠬᠢ ᠰᠤᠷᠪᠤᠯᠵᠢ==
 <div style="writing-mode: horizontal-tb; "><References/>
+[[Ангилал:ᠮᠠᠲ᠋ᠾᠧᠮᠠᠲᠢᠭ]]