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Generation and Coherent Control of Pulsed Quantum Frequency Combs
Published on: June 8, 2018
数学と複雑なシステム
1Department of Mathematics and Statistics, University of Vermont, Burlington, VT 05405, USA. foote@math.uvm.edu
まとめ
この研究は,複雑なシステムを探求し,基礎的な数学でさえも,新興のマクロスコプ的行動と深い意味合いを示すことを示唆しています. 数学そのものは,人間の検証能力を超えた究極の複雑なシステムであるかもしれない.
科学分野:
- 複合システム科学 複合システム科学
- 数学の基礎について 数学の基礎について
- 数学物理学の数学物理学について
背景:
- 現代の研究は,多数の構成要素と力を持つ複雑な物理現象を理解する上で課題に直面しています.
- 複雑なシステムは,独自の複雑な行動と基本法則を持つ基礎的なシステムから,しばしばマクロスコープ的に現れます.
研究 の 目的:
- 数学の領域は,その単純な公理的な基礎とは無関係に,見分けられる層を有することを提案する.
- 数学における予期せぬマクロスコプ的結果を強調する.
- 数学的な概念の起源を超えた,深い数学的,物理的な影響を探求すること.
主な方法:
- 数学的構造の概念分析. 数学的構造の概念分析. 数学的構造について.
- 物理的・数学的なシステムにおける新興性質の比較研究.
- 高度な数学における人間の検証の限界の探求.
主要な成果:
- 数学分野における層構造の識別.
- 物理的な複雑なシステムに類似した数学における出現するマクロスコピック行動の観察.
- 基本的な数学的原理から生じる,広範囲に及ぶ数学的,物理的な結果の認識.
結論:
- 物理的な複雑なシステムと同様に,数学分野は,出現する性質と階層的な複雑さを示します.
- 数学の研究自体は,伝統的な検証方法に挑戦する,潜在的に究極の複雑なシステムを表しています.
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