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When were fractals discovered?
Benoit Mandelbrot is the man who is usually credited to have discovered fractals in the year 1975. He was the first person to use this word and was also the first man to represent them in visual form. But history also shows that some facts about fractals were known to mathematicians as early as the 17th century.
What are 2 examples of fractals?
I am a kid, so I might not nail it, but some examples are the dragon curve and julia set.
Why were fractals made?
Fractals are geometric shapes that you can break up into parts and each part has a property known as self similarity. This property simply means that each little part has the same general shape as the big part it came from. Fractals occur in nature so why cannot simply answer the question why were they made. One example is frost crystals that appear on a glass window. In math we create these patterns for many reasons. One is just because they are very pretty. But the also interest mathematicians. People who study calculus like them because they have certain very interesting properties. ( some of them do0. One example is that of being everywhere continuous but nowhere differentiable. It is not too important to understand exactly what it means, just to know that it is a very surprising result in math. It turns out that fractals are important in studying complex numbers too. Something that most people would never guess. There are fractals called Julia sets named after a mathematician with the last name Julia. I will post a link of a gallery of fractals. Many people enjoy looking at them. Now you know their beauty goes much deeper than just their looks!
What is the importance of algebra for generating sequences?
Some sequences are defined by rules and algebra is a mathematical way of describing rules.
How are fractals made?
Fractals can be generated with computer programs like Sterling or Apophysis. Both of these are freeware you can easily download. There are other programs, like Ultra Fractal and Tierazon, as well. With Sterling, you are given a default fractal that you can transform using various modes, and then zoom in and search for a good design. With Apophysis, you are given a set of randomly-generated "flames" that you can transform using various "plug-ins", some of which are included in the download, others can be downloaded free. Apophysis flames are can be edited by manipulating the triangles that define it. Each triangle can be manipulated using plug-ins such as "spiral." Several tutorials are on the Internet, at places like deviantart.com, which has groups liked I linked below. An example of fractals generated with Sterling and Apophysis can be found in a gallery I also linked below.
When were fractals discovered?
Benoit Mandelbrot is the man who is usually credited to have discovered fractals in the year 1975. He was the first person to use this word and was also the first man to represent them in visual form. But history also shows that some facts about fractals were known to mathematicians as early as the 17th century.
How are fractals used?
They are used to model various situations where it is believed that some infinite "branching" effect best describes the geometry. For examples of how I have employed fractals as a theoretician, check out the "related links" included with this answer. I hope you like what you see.
What are 2 examples of fractals?
I am a kid, so I might not nail it, but some examples are the dragon curve and julia set.
What are some examples of data mining techniques?
Although there are a number of data mining techniques there are three that are most commonly used. These common techniques include decision trees, artificial neutral networks and the nearest-neighbour method. These techniques each analyze data in different ways.
What are some names of common DJ techniques?
the most common ones are called "baby spins" and " bird spins or chirp spins" it is heard most of the time
What are some examples of mining?
Although there are a number of data mining techniques there are three that are most commonly used. These common techniques include decision trees, artificial neutral networks and the nearest-neighbour method. These techniques each analyze data in different ways.
What are some common biometric identification techniques?
Some common biometric identification techniques include fingerprint scanning, facial recognition, iris scanning, and voice recognition. These techniques are used to verify a person's identity based on their unique physical or behavioral characteristics.
What are some Examples of data mining?
Although there are a number of data mining techniques there are three that are most commonly used. These common techniques include decision trees, artificial neutral networks and the nearest-neighbour method. These techniques each analyze data in different ways.
What are the Techniques of dance?
Describe some mime techniques
What are some common stress relief techniques?
Meditation is a great way to relieve stress for some. Other's may rely on exercise such as bicycling or even simple acts of going for a walk works. Stress relief is personal and there are many techniques that are worth trying.
Where do they have their origin?
Origins of techniques can vary, but some common sources include traditional practices, scientific research, cultural traditions, and personal experiences.
What are the mime techniques of dance?
Describe some mime techniques
