Phase Comparison

Phase comparison is the measurement or evaluation of the relative timing between periodic signals, expressed as a phase difference or phase angle. In engineering, it compares corresponding points in waveforms, often using a reference signal, phasor representation, correlation, or phase-detector circuitry to determine whether signals are in phase, out of phase, leading, or lagging. This analysis supports AC circuit design, power-system synchronization, control-system stability, communications, and signal processing. By revealing timing relationships that amplitude measurements alone cannot show, phase comparison helps engineers assess system behavior, identify delays or mismatches, improve synchronization, and verify the performance of electrical and dynamic systems.

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Education

JoVE Core - Social Psychology

The Sense of Self: Reflected Self-Appraisal and Social Comparison

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2020

According to Charles Cooley, we base our image on what we think other people see (Cooley 1902). We imagine how we must appear to others, then react to this speculation. We don certain clothes, prepare our hair in a particular manner, wear makeup, use cologne, and the like—all with the notion that our presentation of ourselves is going to affect how others perceive us. We expect a certain reaction, and, if lucky, we get the one we desire and feel good about it. But more than that, Cooley...

Phase Diagrams

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2020

A phase diagram combines plots of pressure versus temperature for the liquid-gas, solid-liquid, and solid-gas phase-transition equilibria of a substance. These diagrams indicate the physical states that exist under specific conditions of pressure and temperature and also provide the pressure dependence of the phase-transition temperatures (melting points, sublimation points, boiling points). Regions or areas labeled solid, liquid, and gas represent single phases, while lines or curves represent...

Comparison Tests

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2026

An infinite series composed of positive terms may either approach a finite value or increase without bound. Determining which outcome occurs is a central task in calculus, and comparison tests provide structured methods for making this determination. Rather than evaluating a series directly, these tests relate it to another series whose behavior is already known, allowing conclusions to be drawn through logical comparison.The direct comparison test applies to series with positive terms. If each...

Phase Transitions

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2020

Whether solid, liquid, or gas, a substance's state depends on the order and arrangement of its particles (atoms, molecules, or ions). Particles in the solid pack closely together, generally in a pattern. The particles vibrate about their fixed positions but do not move or squeeze past their neighbors. In liquids, although the particles are closely spaced, they are randomly arranged. The position of the particles are not fixed—that is, they are free to move past their neighbors to occupy...

Phase Transitions: Melting and Freezing

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2020

Heating a crystalline solid increases the average energy of its atoms, molecules, or ions, and the solid gets hotter. At some point, the added energy becomes large enough to partially overcome the forces holding the molecules or ions of the solid in their fixed positions, and the solid begins the process of transitioning to the liquid state or melting. At this point, the temperature of the solid stops rising, despite the continual input of heat, and it remains constant until all of the solid is...

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