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Related Concept Videos

Self-Discrepancy Theory02:45

Self-Discrepancy Theory

One influential perspective on what motivates people's behavior is detailed in Tory Higgin's self-discrepancy theory (Higgins, 1987). He proposed that people hold disagreeing internal representations of themselves that lead to different emotional states.
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Self-Evaluation: Self-Enhancement and Self-Verification

Social psychologists have documented that feeling good about ourselves and maintaining positive self-esteem is a powerful motivator of human behavior (Tavris & Aronson, 2008). In the United States, members of the predominant culture typically think very highly of themselves and view themselves as good people who are above average on many desirable traits (Ehrlinger, Gilovich, & Ross, 2005). Often, our behavior, attitudes, and beliefs are affected when we experience a threat to our...
Accuracy and Precision01:52

Accuracy and Precision

Scientists typically make repeated measurements of a quantity to ensure the quality of their findings and to evaluate both the precision and the accuracy of their results. Measurements are said to be precise if they yield very similar results when repeated in the same manner. A measurement is considered accurate if it yields a result that is very close to the true or the accepted value. Precise values agree with each other; accurate values agree with a true value.  Highly accurate measurements...
Accuracy and Precision01:52

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Scientists typically make repeated measurements of a quantity to ensure the quality of their findings and to evaluate both the precision and the accuracy of their results. Measurements are said to be precise if they yield very similar results when repeated in the same manner. A measurement is considered accurate if it yields a result that is very close to the true or the accepted value. Precise values agree with each other; accurate values agree with a true value.  Highly accurate measurements...
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Scientists typically make repeated measurements of a quantity to ensure the quality of their findings and to evaluate both the precision and the accuracy of their results. Measurements are said to be precise if they yield very similar results when repeated in the same manner. A measurement is considered accurate if it yields a result that is very close to the true or the accepted value. Precise values agree with each other; accurate values agree with a true value.
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Lagrange Multipliers: Two Constraints

The method of Lagrange multipliers with two constraints is used to optimize a function subject to two independent constraints. In many applications, the objective function represents a quantity to be maximized or minimized, such as cost, area, distance, or energy. The two constraints represent requirements that the solution must satisfy, such as fixed volume, limited resources, or prescribed dimensions.For a function of three variables, each constraint forms a surface in three-dimensional space.

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Related Experiment Video

Updated: Jun 20, 2026

Convergent Polishing: A Simple, Rapid, Full Aperture Polishing Process of High Quality Optical Flats & Spheres
13:07

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Published on: December 1, 2014

Only two ways to achieve perfection.

Alexander B Artyukhin1, Lani F Wu, Steven J Altschuler

  • 1Department of Pharmacology, Simmons Cancer Center, University of Texas Southwestern Medical Center, Dallas, TX 75390, USA.

Cell
|August 26, 2009
PubMed
Summary

Researchers found only two core network topologies enable perfect adaptation in three-node enzyme networks. This reverse-engineering approach reveals key network structures for robust biological systems.

Area of Science:

  • Systems Biology
  • Biochemical Networks
  • Network Topology

Background:

  • The function of biological networks, such as enzyme networks, is intrinsically linked to their structural organization or topology.
  • Understanding how network topology dictates functional properties like perfect adaptation is crucial for systems biology.

Discussion:

  • Ma et al. (2009) employed a reverse-engineering strategy to investigate three-node enzyme networks.
  • The study focused on identifying network topologies capable of achieving perfect adaptation, defined as the system's ability to return to its original state after a perturbation.

Key Insights:

  • The analysis revealed a surprisingly small number of core network topologies that support perfect adaptation.
  • Specifically, only two distinct network topologies were identified as sufficient for establishing perfect adaptation in these models.

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Outlook:

  • These findings suggest a fundamental principle in the design of robust biological networks.
  • Further research can explore whether these two core topologies are conserved across different biological systems and scales.