fractal curves造句
例句與造句
- Squares can be used to generate similar fractal curves.
- The fractal curve that is the limit of this " infinite " process is the L関y C curve.
- To understand what a fractal space means requires to study not just fractal curves, but also fractal surfaces, fractal volumes, etc.
- Note that the two fractal curves described above show a type of self-similarity that is exact with a repeating unit of detail that is readily visualized.
- Each subsection of a fractal design might be an image of the whole; a fractal curve generates itself out of itself, changing in size but not in shape.
- It's difficult to find fractal curves in a sentence. 用fractal curves造句挺難的
- The fractal curve divided into parts 1 / 3 the length of the original line becomes 4 pieces rearranged to repeat the original detail, and this unusual relationship is the basis of its fractal dimension.
- The main Ces鄏o's contributions belong to the field of differential geometry . " Lessons of intrinsic geometry ", written in 1894, explains in particular the construction of a fractal curve.
- The progression for the area converges to 2 while the progression for the perimeter diverges to infinity, so as in the case of the Koch snowflake, we have a finite area bounded by an infinite fractal curve.
- "' Niels Fabian Helge von Koch "'( 25 January 1870 11 March 1924 ) was a Swedish mathematician who gave his name to the famous fractal known as the Koch snowflake, one of the earliest fractal curves to be described.
- It is easy to establish this result for polygonal lines, but the problem came in generalizing it to all kinds of badly behaved curves, which include nowhere differentiable curves, such as the Koch snowflake and other fractal curves, or even a Jordan curve of positive area constructed by.
- This monoid is sometimes called the "'period-doubling monoid "', and all period-doubling fractal curves have a self-symmetry described by it ( the de Rham curve, of which the question mark is a special case, is a category of such curves ).
- To elaborate, in trying to find the length of a wavy non-fractal curve, one could find straight segments of some measuring tool small enough to lay end to end over the waves, where the pieces could get small enough to be considered to conform to the curve in the normal manner of measuring with a tape measure.
- This general relationship can be seen in the two images of fractal curves in Fig . 3 the 32-segment contour in Fig . 2, convoluted and space filling, has a fractal dimension of 1.67, compared to the perceptibly less complex Koch curve in Fig . 3, which has a fractal dimension of 1.26.
- But in measuring a wavy fractal curve such as the Koch snowflake, one would never find a small enough straight segment to conform to the curve, because the wavy pattern would always re-appear, albeit at a smaller size, essentially pulling a little more of the tape measure into the total length measured each time one attempted to fit it tighter and tighter to the curve.