Wondering how to use Mandelbrot in a sentence? Below are 10+ example sentences from authentic English texts. Including the meaning and synonyms such as mathematician.
Mandelbrot in a sentence
Mandelbrot meaning
A sort of cookie-like hard, sweet bread usually containing almonds traditionally eaten by Ashkenazi Jews and often dipped in tea.
Synonyms of Mandelbrot
Using Mandelbrot
- The main meaning on this page is: A sort of cookie-like hard, sweet bread usually containing almonds traditionally eaten by Ashkenazi Jews and often dipped in tea.
- Useful related words include: benoit mandelbrot, mathematician.
- In the example corpus, mandelbrot often appears in combinations such as: mandelbrot set, the mandelbrot, benoit mandelbrot.
Context around Mandelbrot
- Average sentence length in these examples: 24.4 words
- Position in the sentence: 8 start, 9 middle, 3 end
- Sentence types: 20 statements, 0 questions, 0 exclamations
Corpus analysis for Mandelbrot
- In this selection, "mandelbrot" usually appears in the middle of the sentence. The average example has 24.4 words, and this corpus slice is mostly made up of statements.
- Around the word, benoit, didier, set, says and traced stand out and add context to how "mandelbrot" is used.
- Recognizable usage signals include and benoit mandelbrot we can and before mandelbrot however they. That gives this page its own corpus information beyond isolated example sentences.
- By corpus frequency, "mandelbrot" sits close to words such as abated, aberrations and abolitionists, which helps place it inside the broader word index.
Example types with mandelbrot
The same corpus examples are grouped by length and sentence type, making it easier to see the contexts in which the word appears:
Mandelbrot Quixote writes: More housing is desperately needed in Canberra. (10 words)
For values within the Mandelbrot set, escape will never occur. (10 words)
As this sequence is unbounded, 1 is not an element of the Mandelbrot set. (14 words)
However, as the potential function grows fast near the boundary of the Mandelbrot set, it was necessary for the creator to let the landscape grow downwards, so that it looked as if the Mandelbrot set was a plateau atop a mountain with steep sides. (44 words)
Mr Mandelbrot's son, Dr Didier Mandelbrot, says his father, driven by curiosity to look for connections wherever he could find them, was the chief architect of the world's understanding of roughness in nature. (35 words)
For example, Shishikura proves that, for a dense set of parameters in the boundary of the Mandelbrot set, the Julia set has Hausdorff dimension two, and then transfers this information to the parameter plane. citation. (35 words)
Example sentences (20)
Mr Mandelbrot's son, Dr Didier Mandelbrot, says his father, driven by curiosity to look for connections wherever he could find them, was the chief architect of the world's understanding of roughness in nature.
An occurrence of in the Mandelbrot set fractal was discovered by David Boll in 1991. citation He examined the behavior of the Mandelbrot set near the "neck" at (−0.75, 0).
However, as the potential function grows fast near the boundary of the Mandelbrot set, it was necessary for the creator to let the landscape grow downwards, so that it looked as if the Mandelbrot set was a plateau atop a mountain with steep sides.
Mandelbrot traced his work on fractals to a question he first encountered as a young researcher: how long is the coast of Britain?": Benoit Mandelbrot (1967).
Mandelbrot Quixote writes: More housing is desperately needed in Canberra.
But thanks to the wisdom of successful investors and philosophers like Nassim Taleb, Mark Spitznagel, and Benoit Mandelbrot – we can avoid being wiped out.
A coastline with the stated property is in "a first category of fractals, namely curves whose fractal dimension is greater than 1." That last statement represents an extension by Mandelbrot of Richardson's thought.
Analogous to the exterior case, once b is found, we know that all points within the distance of b/4 from c are inside the Mandelbrot set.
A picture of the Mandelbrot set can be made by coloring all the points that belong to M black, and all other points white.
As of October 2012, the area of the Mandelbrot is estimated to be main ± main.
As this sequence is unbounded, 1 is not an element of the Mandelbrot set.
Before Mandelbrot, however, they were regarded as isolated curiosities with unnatural and non-intuitive properties.
Between the "upper part of the body" and the "tail" a distorted small copy of the Mandelbrot set called satellite may be recognized.
Calculating all of the points for a Mandelbrot set is a comparable activity that would seem tedious today but would be routine for people of the time.
Escape time algorithm The simplest algorithm for generating a representation of the Mandelbrot set is known as the "escape time" algorithm.
For example, Shishikura proves that, for a dense set of parameters in the boundary of the Mandelbrot set, the Julia set has Hausdorff dimension two, and then transfers this information to the parameter plane. citation.
Formal definition The Mandelbrot set is defined by a family of complex quadratic polynomials : given by : where is a complex parameter.
For parameters outside the Mandelbrot set, the Julia set is a Cantor space : in this case it is sometimes referred to as Fatou dust.
For values within the Mandelbrot set, escape will never occur.
He also contributed to the fields of sociology and mathematics according to the mathematician Benoit Mandelbrot and Richard L. Hudson: "His legacy as an economist was profound.
Common combinations with mandelbrot
These word pairs occur most frequently in English texts:
- mandelbrot set 29×
- the mandelbrot 26×
- benoit mandelbrot 4×
- of mandelbrot 2×