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In the language of tropical analysis, the softmax is a deformation or "quantization" of arg max and arg min, corresponding to using the log semiring instead of the max-plus semiring (respectively min-plus semiring), and recovering the arg max or arg min by taking the limit is called "tropicalization" or "dequantization".
The partial sums of the series 1 + 2 + 3 + 4 + 5 + 6 + ⋯ are 1, 3, 6, 10, 15, etc.The nth partial sum is given by a simple formula: = = (+). This equation was known ...
The decibel originates from methods used to quantify signal loss in telegraph and telephone circuits. Until the mid-1920s, the unit for loss was miles of standard cable (MSC). 1 MSC corresponded to the loss of power over one mile (approximately 1.6 km) of standard telephone cable at a frequency of 5000 radians per second (795.8 Hz), and matched closely the smallest attenuation detectable to a ...
The chart was designed by Ian Bailey [5] and Jan E. Lovie-Kitchin at the National Vision Research Institute of Australia. [1] [3] They described their motivation for designing the LogMAR chart as follows: "We have designed a series of near vision charts in which the typeface, size progression, size range, number of words per row and spacings were chosen in an endeavour to achieve a ...
Bush in the Oval Office, receiving a concession phone call from Kerry, which came the afternoon of the day following the election The morning after the election, the winner was still undetermined. The result in Ohio would decide the winner, although the results in New Mexico and Iowa were also undetermined.
Pennsylvania (/ ˌ p ɛ n s ɪ l ˈ v eɪ n i ə / ⓘ PEN-sil-VAY-nee-ə, lit. ' Penn's forest country '), officially the Commonwealth of Pennsylvania [b] (Pennsylvania Dutch: Pennsilfaani), [7] is a U.S. state spanning the Mid-Atlantic, Northeastern, Appalachian, and Great Lakes regions of the United States.
It was followed by the Model X in 2015, the Model 3 in 2017 and the Model Y in 2020. [ 224 ] [ 225 ] [ 226 ] These cars form the " S3XY " acronym . [ 227 ] [ 228 ] In 2015, the Model S was the world's best-selling plug-in electric vehicle , [ 229 ] with Tesla selling 50,366 in that year. [ 230 ]
There were 101,585 households, of which 30.1% had children under the age of 18 living with them, 42.3% were married couples living together, 14.8% had a female householder with no husband present, 4.9% had a male householder with no wife present, and 38.0% were non-families. 31.2% of all households were made up of individuals, and 9.7% had ...