cantor function造句
例句與造句
- The Cantor function can also be seen as the atomless.
- This happens for example with the Cantor function.
- As mentioned above, the Cantor function is also the cumulative distribution function of a measure on the Cantor set.
- *The Cantor function " c " does not have a weak derivative, despite being differentiable almost everywhere.
- The Cantor measure ( the probability measure on the real line whose cumulative distribution function is the Cantor function ) is an example of a singular continuous measure.
- It's difficult to find cantor function in a sentence. 用cantor function造句挺難的
- Different Cantor functions, or Devil's Staircases, can be obtained by considering different atom-less probability measures supported on the Cantor set or other fractals.
- The Cantor function, Ces鄏o curve, Minkowski's question mark function, the L関y C curve, the blancmange curve and the Koch curve are all special cases of the general de Rham curve.
- A standard example of a singular function is the Cantor function, which is sometimes called the "'devil's staircase "'( a term also used for singular functions in general ).
- While the Cantor function has derivative 0 almost everywhere, current research focusses on the question of the size of the set of points where the upper right derivative is distinct from the lower right derivative, causing the derivative to not exist.
- This line of research was started in the 90s by Darst, who showed that the Hausdorff dimension of the set of non-differentiability of the Cantor function is the square of its support, ( \ log2 / \ log3 ) ^ 2.
- Fixing " K " and taking a cross-section through this image, so that ? is plotted as a function of ?, gives the " Devil's staircase ", a shape that is generically similar to the Cantor function.
- However, no non-constant part of the Cantor function can be represented as an integral of a probability density function; integrating any putative probability density function that is not almost everywhere zero over any interval will give positive probability to some interval to which this distribution assigns probability zero.
- Hermann Minkowski's question mark function loosely resembles the Cantor function visually, appearing as a " smoothed out " form of the latter; it can be constructed by passing from a continued fraction expansion to a binary expansion, just as the Cantor function can be constructed by passing from a ternary expansion to a binary expansion.
- Hermann Minkowski's question mark function loosely resembles the Cantor function visually, appearing as a " smoothed out " form of the latter; it can be constructed by passing from a continued fraction expansion to a binary expansion, just as the Cantor function can be constructed by passing from a ternary expansion to a binary expansion.
- However, " g " may have jump discontinuities, or may have derivative zero " almost " everywhere while still being continuous and increasing ( for example, " g " could be the Cantor function ), in either of which cases the Riemann Stieltjes integral is not captured by any expression involving derivatives of " g ".
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