Wondering how to use Fractal in a sentence? Below are 10+ example sentences from authentic English texts. Including the meaning and synonyms such as form or shape.
Fractal meaning
- A mathematical set that has a non-integer and constant Hausdorff dimension, corresponding to a geometric figure or object that is self-similar at arbitrarily small scales and thus has infinite complexity.
- An object, system, or idea that exhibits a fractal-like property, such as the property of self-similarity at numerous but not infinitely many scales.
Using Fractal
- The main meaning on this page is: A mathematical set that has a non-integer and constant Hausdorff dimension, corresponding to a geometric figure or object that is self-similar at arbitrarily small scales and thus has infinite complexity. | An object, system, or idea that exhibits a fractal-like property, such as the property of self-similarity at numerous but not infinitely many scales.
- Useful related words include: form, shape, pattern.
- In the example corpus, fractal often appears in combinations such as: the fractal, of fractal, fractal antennas.
Context around Fractal
- Average sentence length in these examples: 24.4 words
- Position in the sentence: 11 start, 7 middle, 2 end
- Sentence types: 20 statements, 0 questions, 0 exclamations
Corpus analysis for Fractal
- In this selection, "fractal" usually appears near the start of the sentence. The average example has 24.4 words, and this corpus slice is mostly made up of statements.
- Around the word, island, 1995, shrunken, antennas, antenna and dimension stand out and add context to how "fractal" is used.
- Recognizable usage signals include 3d mandelbulb fractal generated using and a shrunken fractal helix. That gives this page its own corpus information beyond isolated example sentences.
- By corpus frequency, "fractal" sits close to words such as abbotsford, adkins and adventist, which helps place it inside the broader word index.
Example types with fractal
The same corpus examples are grouped by length and sentence type, making it easier to see the contexts in which the word appears:
This power is called the fractal dimension of the fractal. (10 words)
Most allusions to fractal antennas make reference to these "fractal element antennas". (12 words)
The bullish momentum may develop if exceeds the last upper fractal: 3.86. (13 words)
An example of a fractal antenna: a space-filling curve called a Minkowski Island fractal Nathan Cohen (1995) "Fractal antennas Part 1" A good example of a fractal antenna as a spacefilling curve is in the form of a shrunken fractal helix. (42 words)
Cohen's efforts with a variety of fractal antenna designs were first published in 1995 citation (thus the first scientific publication on fractal antennas), and a number of patents have been issued from the 1995 filing priority of invention. (39 words)
I’m a sucker for both Fractal cases and tiny renditions of things, so this fun concept continues to live in the back of my mind — until it can, hopefully one day, live at the corner of my desk. (39 words)
Example sentences (20)
An example of a fractal antenna: a space-filling curve called a Minkowski Island fractal Nathan Cohen (1995) "Fractal antennas Part 1" A good example of a fractal antenna as a spacefilling curve is in the form of a shrunken fractal helix.
Log periodic antennas and fractals The first fractal "antennas" were, in fact, fractal "arrays", with fractal arrangements of antenna elements, and not recognized initially as having self-similarity as their attribute.
Types A Fibonacci word fractal A 3D Mandelbulb fractal generated using Visions of Chaos There are many different kinds of fractal images and can be subdivided into several groups.
Cohen's efforts with a variety of fractal antenna designs were first published in 1995 citation (thus the first scientific publication on fractal antennas), and a number of patents have been issued from the 1995 filing priority of invention.
Confusion by those who claim "grain of rice"-sized fractal antennas arises, because such fractal structures serve the purpose of loads and counterpoises, rather than bona fide antennas.
Fractal antennas, frequency invariance, and Maxwell's equations A different and also useful attribute of some fractal element antennas is their self-scaling aspect.
Fractal expressionism is a term used to differentiate traditional visual art that incorporates fractal elements such as self-similarity for example.
In general the fractal dimension of a fractal antenna is a poor predictor of its performance and application.
Most allusions to fractal antennas make reference to these "fractal element antennas".
The Julia set and Mandelbrot sets can be considered as icons of fractal art. citation Fractal art (especially in the western world) is rarely drawn or painted by hand.
This power is called the fractal dimension of the fractal.
This would correspond to a fractal dimension of 2. Thus the fractal dimension of the universe would need to be less than 2 for this explanation to work.
Additionally, Fractal Design offers a Nexus 9P Slim PWM fan hub, a GPU bracket, cable straps, and more with the Torrent.
Fractal Investments LLC purchased a new position in United States Steel during the third quarter valued at approximately $665,000.
The Now or Never singer released the Fractal Glitter Eye Paints with a speakeasy-themed party, all about glamour.
I’m a sucker for both Fractal cases and tiny renditions of things, so this fun concept continues to live in the back of my mind — until it can, hopefully one day, live at the corner of my desk.
After opening the pending order, we shall move the stop to the next fractal low following the Bollinger and Parabolic signals.
Take note that markets do not only have cyclical nature, but they have a fractal one too.
The bearish momentum may develop if falls below the last lower fractal and the Parabolic signal: 9. This level can be used as an entry point.
The bullish momentum may develop if exceeds the last upper fractal: 3.86.
Common combinations with fractal
These word pairs occur most frequently in English texts:
- the fractal 9×
- of fractal 8×
- fractal antennas 8×
- fractal dimension 6×
- last fractal 6×
- fractal antenna 5×
- fractal low 5×
- fractal and 5×
- is fractal 5×
- fractal expressionism 3×