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Weber–Fechner law, named after the Germans Ernst Heinrich Weber and Gustav Theodor Fechner, attempts to describe the human perception of various physical stimuli. In most cases, Stevens's power law gives a more accurate description. Weyl law, in
In physics, a conservation law states that a particular measurable property of an isolated physical system does not change as the system evolves over time. Exact conservation laws include conservation of mass-energy , conservation of linear momentum , conservation of angular momentum , and conservation of electric charge .
The conservation of momentum results from the property of the Weber force to comply with Newton's third law: If one exchanges source and receiver of the force, only the sign of the force is altered. The conservation of angular momentum is a consequence of the fact that the Weber force is a central force .
Both Weber's law and Fechner's law were formulated by Gustav Theodor Fechner (1801–1887). They were first published in 1860 in the work Elemente der Psychophysik ( Elements of Psychophysics ). This publication was the first work ever in this field, and where Fechner coined the term psychophysics to describe the interdisciplinary study of how ...
Weber's law is used in haptic devices and robotic applications. Exerting the proper amount of force to human operator is a critical aspects in human robot interactions and tele operation scenarios. It can highly improve the performance of the user in accomplishing a task. [14]
Mathematically, we can state the law of charge conservation as a continuity equation: = ˙ ˙ (). where / is the electric charge accumulation rate in a specific volume at time t, ˙ is the amount of charge flowing into the volume and ˙ is the amount of charge flowing out of the volume; both amounts are regarded as generic functions of time.
The first law of thermodynamics is a version of the law of conservation of energy, adapted for thermodynamic processes. In general, the conservation law states that the total energy of an isolated system is constant; energy can be transformed from one form to another, but can be neither created nor destroyed.
Ernst Weber’s first direct contribution to psychology came in 1834 when trying to describe the sensation of touch (De Pulsu, Resorptione, Auditu et Tactu. Leipzig 1834). Leipzig 1834). [ 4 ] [ 5 ] He was professor of physiology and anatomy from 1840 to 1866, and returned to the position of professor of anatomy from 1866 to 1871.