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This ratio of 1.19 obeys the law because it is a simple fraction (1/3) of 3.58. (This is because it corresponds to the formula ICl 3, which is one known compound of iodine and chlorine.) Similarly, hydrogen, carbon, and oxygen follow the law of reciprocal proportions. The acceptance of the law allowed tables of element equivalent weights to be ...
The equivalent width of a spectral line is a measure of the area of the line on a plot of intensity versus wavelength in relation to underlying continuum level. It is found by forming a rectangle with a height equal to that of continuum emission, and finding the width such that the area of the rectangle is equal to the area in the spectral line.
Thus an equivalence relation over , a partition of , and a projection whose domain is , are three equivalent ways of specifying the same thing. The intersection of any collection of equivalence relations over X (binary relations viewed as a subset of X × X {\displaystyle X\times X} ) is also an equivalence relation.
However, according to his own measurements, the ratio of height to width of the pages is . [103] Studies by psychologists, starting with Gustav Fechner c. 1876, [104] have been devised to test the idea that the golden ratio plays a role in human perception of beauty. While Fechner found a preference for rectangle ratios centered on the ...
The area-equivalent diameter D A, also termed circular-equivalent diameter, is the diameter of a sphere having the same projected area as the particle's projection. Enabled by the introduction of digital image analysis, this corresponds to a direct measurement of the projection area by pixel counting.
[213] [214] It is considered the mathematical equivalent of the Nobel Prize. [214] Other prestigious mathematics awards include: [215] The Abel Prize, instituted in 2002 [216] and first awarded in 2003 [217] The Chern Medal for lifetime achievement, introduced in 2009 [218] and first awarded in 2010 [219] The AMS Leroy P. Steele Prize, awarded ...
Major depressive disorder (MDD), also known as clinical depression, is a mental disorder [10] characterized by at least two weeks of pervasive low mood, low self-esteem, and loss of interest or pleasure in normally enjoyable activities.
Whole-page-translation tools are of limited utility, however, since they offer only a limited potential understanding of the original author's intent and context; translated pages tend to be more erroneously humorous and confusing than enlightening. Interactive translations with pop-up windows are becoming more popular. These tools show one or ...
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