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Constraints and Statical Determinacy01:26

Constraints and Statical Determinacy

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In structural engineering, the equilibrium of a system is not only determined by its equations of equilibrium but also with the help of constraints. Constraints refer to restrictions on the motion of a system. The proper combinations of constraints can minimize the total number of constraints needed to maintain a system in mechanical equilibrium. When this happens, the system is said to be statically determinate. For such systems, the unknown reaction supports can be estimated using equilibrium...
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Classification of Systems-I01:26

Classification of Systems-I

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Linearity is a system property characterized by a direct input-output relationship, combining homogeneity and additivity.
Homogeneity dictates that if an input x(t) is multiplied by a constant c, the output y(t) is multiplied by the same constant. Mathematically, this is expressed as:
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Net Change Theorem01:22

Net Change Theorem

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The Net Change Theorem is a fundamental principle in calculus that establishes a direct relationship between a function’s rate of change and its accumulated change over an interval. Mathematically, it states that the definite integral of a function's derivative over a given interval [a,b] yields the net change in the original function:This theorem has significant applications in various real-world scenarios, including physics, economics, and engineering. A particularly useful application...
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Null and Alternative Hypotheses01:16

Null and Alternative Hypotheses

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The actual hypothesis testing begins by considering two hypotheses. They are termed  the null hypothesis and the alternative hypothesis. These hypotheses contain opposing viewpoints.
The null hypothesis, denoted by H0 is a statement of no difference between the variables—they are not related. This can often be considered the status quo. As  a result if you cannot accept the null, it requires some action.
The alternative hypothesis, denoted by H1 or Ha, is a claim about the...
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Hypothesis: Accept or Fail to Reject?01:17

Hypothesis: Accept or Fail to Reject?

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The outcome of any hypothesis testing leads to rejecting or not rejecting the null hypothesis. This decision is taken based on the analysis of the data, an appropriate test statistic, an appropriate confidence level, the critical values, and P-values. However, when the evidence suggests that the null hypothesis cannot be rejected, is it right to say, 'Accept' the null hypothesis?
There are two ways to indicate that the null hypothesis is not rejected. 'Accept' the null...
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Scientific Laws and Theories02:31

Scientific Laws and Theories

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Scientific Laws
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Inherent Dynamics Visualizer, an Interactive Application for Evaluating and Visualizing Outputs from a Gene Regulatory Network Inference Pipeline
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論理的制約下における信念システムの動態に関するネットワーク科学

Noah E Friedkin1, Anton V Proskurnikov2,3, Roberto Tempo4

  • 1Center for Control, Dynamical-Systems and Computation and Department of Sociology, University of California, Santa Barbara, CA, USA. friedkin@soc.ucsb.edu.

Science (New York, N.Y.)
|November 16, 2016
PubMed
まとめ

集団のコンセンサス形成は 論理的な制約や誤った前提があるときに 挑戦されます この研究は 論理的な依存関係やマイノリティの信念が ソーシャルネットワークにおける 集団合意にどのように影響するかについて研究しています

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科学分野:

  • 社会的影響と集団的行動
  • コンピュータ社会科学
  • 社会ダイナミクスの数学モデル化

背景:

  • アルゴリズムによるアプローチは グループコンセンサスの研究を進めてきました
  • 論理的な制約がコンセンサスに与える影響は,まだ十分に研究されていない.
  • 集団の信念体系に 誤った情報がどう影響するかを理解することは 極めて重要です

研究 の 目的:

  • 信念に対する論理的な制約が 集団のコンセンサスにどのように影響するか調べる
  • 論理的依存関係の下での集団的信念システムの収束を分析する.
  • 集団内の特異的な信念の広がりを調べる

主な方法:

  • エージェントベースの信念伝播モデルです
  • ネットワーク構造と信念のダイナミクスの分析
  • 論理的制約と誤った前提を組み込んだシミュレーション

主要な成果:

  • 論理的な制約は 集団のコンセンサスへの道を阻害したり 変えたりします
  • 一つの虚偽の前提は 集団的な信念の収束を不安定にすることができます
  • 独創的な信念は,たとえ最初は少数派であっても,広がり,支配的になる可能性があります.

結論:

  • 論理的な相互依存を含む信念の構造が 集団のコンセンサスを大きく形作る.
  • 社会的影響モデルには 論理的な一貫性と 誤った情報の潜在的影響が考慮されなければなりません
  • 信念の拡散のダイナミクスを理解することは 集団の意見形成を予測する鍵です