In physics, homogeneity is the quality of having all properties independent of the position. This is equivalent to shift invariance in system analysis, although here it is most commonly used in linear systems, whereas in physics the distinction is not usually made. See also homogeneous for other meanings, isotropy for properties independent of direction. Since antiquity, people have tried to understand the behavior of matter: why unsupported objects drop to the ground, why different materials have different properties, and so forth. ... See also systems analysis. ... The word linear comes from the Latin word linearis, which means created by lines. ... It has been suggested that this article or section be merged with homogeneity. ... Isotropy (the opposite of anisotropy) is the property of being independent of direction. ...
A valid equation in physics must be homogeneous. Since antiquity, people have tried to understand the behavior of matter: why unsupported objects drop to the ground, why different materials have different properties, and so forth. ...
ms^-1 = m / s (converted to base units) ms^-1 = ms^-1 (rearranged) The LHS of the equation = the RHS. Thus, it is homogeneous. In mathematics, LHS is informal shorthand for the left-hand side of an equation. ... In mathematics, LHS is informal shorthand for the left-hand side of an equation. ...
However, if the equation is homogeneous, it doesn't necessarily mean the equation will be true. eg Volume of a sphere = (pi)r^3 This equation is homogenous, but we know that it isn't true, as it is missing the 4/3 before the (pi).
For physics to flourish and enter the new era with renewed vigor, the physics community must be sensitive to these changes and respond effectively to society's needs, in particular the needs for a scientifically literate populace and for a strong defense.
The Physics Survey Overview Committee believes that to support strong economic growth and provide essential tools and methods for the biomedical sciences in the decade ahead, the federal investment in basic physics research relative to GDP should be restored to the levels of the early 1980s.
Physics departments should review and revise their curricula to ensure that they are engaging and effective for a wide range of students and that they make connections to other important areas of science and technology.
Physics 141 and 142 are appropriate courses to satisfy a one-year physics requirement of various professional schools.
Physics 151 and 152 are strongly recommended for students who contemplate the completion of a B.S. degree in physics or mathematics, or who plan to pursue graduate studies in the sciences or engineering.
Physics 365, and Physics 320 or the equivalent, or consent of instructor.
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