Therefore the sequence 0, 1, 2, 3, 5, 8, 13, 21, 34, 55, 89, is called a recursive sequence. When the recursive numbers are arranged in a certain way, this sequence creates a spiral pattern and this pattern is reflected in various places in real life (nature). Defining my own recursive sequences; see if I can create one that models something I have seen. To create a recursive sequence, the squares can be drawn on the Fibonacci sequence as it is observed in the picture to the right. The squares of 1 inch in length and 1 inch in width can be first drawn and then more squares can be added based on the sequence of the numbers. Next, draw the curves in every square to create a spiral shape, a quarter of the circle is drawn in every square. …show more content…
The recursive sequence of numbers that bear his name is a discovery for which Fibonacci is popularly known. While it brought him little recognition during the course of his life, is was nearly 100 years later when the majority of the mathematicians recognized and appreciated his invention. This fascinating and unique study of recursive numbers possess all sorts of intriguing properties that can be discovered by applying different mathematical procedures to a set of numbers in a given sequence. The recursive / Fibonacci numbers are present in everyday life and they are manifested in the everyday life in which we live. The formed patterns perplex and astonish the minds in real world perspectives. The recursive sequences are beautiful to study and much of their beauty falls in nature. They highlight the mathematical complexity and the incredible order of the world that we live in and this gives a clear view of the algorithm that God used to create some of these organisms and plants. Such patterns seem not have been evolved by accident but rather, they seem to have evolved by the work of God who created both heaven and
Lamb, Robert. "How are Fibonacci numbers expressed in nature?" HowStuffWorks. Discovery Communications, 24 June 2008. Web. 28 Jan. 2010. .
...tive occurrences in life, and even manage to derive some positives from such experiences. Those who argue against this concept do it on a basic level, without truly understanding the impact of eternal recurrence on a free spirit. Such arguments are made on a surface interpretation, without taking into account; the fact that such an approach involves a person’s every move throughout their life, as they seek to achieve the most fulfilling life experience, regardless of wealth or social status. In the end, the adoption of such an approach depends on personal perception, because some people might view the opportunity to relive every moment of their lives as an opportunity not to be missed, while others might view it as an unnecessary burden.
Learning is a cognitive process which involves generating linkages between concepts, ideas, skills elements, experiences and people. This process requires the learner to make meaning of something by creating and re-working patterns, connections and relationships. From various scientific studies, it has been proved that this cognitive process is largely premised upon mental capabilities and development of the brain (intime, 2001). For people to actualize their ideas and creativities of their minds, learning is inevitable. However, the ability to learn is dissimilar for all people- some learn faster than others. This infers the notion of learning patterns. In simple terms, learning patterns can be defined as forms through people learn.
4. Compute successive value of recursively using the computed values of (from step 2), the given initial estimate , and the input data .
a spiral, like the markers at the Pet Sematary. Later, when Louis is home alone,
How much is your life worth, to you? Some people measure a person’s life in terms of material gain. Others measure it in terms of experiences. A better question is to ask is not how much you are worth, but what is your purpose. A sense of purpose instills the need for a major aspect of life called progression. If a person were to take two steps forward and one step back, he or she would still find themselves moving forward. The progression may be slow, but the person will still be able to move forward. However, the process of progression can be reversed in a process called regression. One way to do this is to take only one step forward and two steps back. In this adaptation of time movement, the person would be going nowhere but backwards,
Within the natural universe exists number that is absolute with or without human creation. However, in many ways number is warped to fit human understanding. Mankind has quantified what is found in the universe, such as the motion of the planets, in order to better understand nature in respect to the human soul (Nicomachus Ch. 3, 6). And though there are aspects of number that remain true outside of human intellect, there are still instances in which the character of number crosses the line from natural to man-made. It is undeniable that number is within the natural universe. However, through humans applying number in ways to better fit their own understandings of the world, it becomes apparent that number exists in the realm of nature as
Logarithms have the ability to replace a geometric sequence with an arithmetic sequence because they raise a base number by an exponent. A simple example can be provided with a geome...
Many types of problems are naturally described by recurrence relations said difference equations [2, 3], which usually
Deep within the realm of fractal math lies a fascinating triangle filled with unique properties and intriguing patterns. This is the Sierpinski Triangle, a fractal of triangles with an area of zero and an infinitely long perimeter. There are many ways to create this triangle and many areas of study in which it appears.
Fractals occur in swirls of scum on the surface of moving water, the jagged edges of mountains, ferns, tree trunks, and canyons. They can be used to model the growth of cities, detail medical procedures and parts of the human body, create amazing computer graphics, and compress digital images. Fractals are about us, and our existence, and they are present in every mathematical law that governs the universe. Thus, fractal geometry can be applied to a diverse palette of subjects in life, and science - the physical, the abstract, and the natural. We were all astounded by the sudden revelation that the output of a very simple, two-line generating formula does not have to be a dry and cold abstraction.
Addition, especially of small numbers, is a process that can be done over many repetitions. Sometimes, it produces interesting patterns. One such pattern is in Pascal’s Triangle, where each row can be constructed by adding the numbers on the row above. This particular pattern is significant in that, among other things, it shows a representation of the coefficients of a binomial expansion to a particular power.
The history of math has become an important study, from ancient to modern times it has been fundamental to advances in science, engineering, and philosophy. Mathematics started with counting. In Babylonia mathematics developed from 2000B.C. A place value notation system had evolved over a lengthy time with a number base of 60. Number problems were studied from at least 1700B.C. Systems of linear equations were studied in the context of solving number problems.
Sometimes there are theories that have to do with machines that do not exist and usually have things in them that are infinite and they usually work with letters and numbers.
Abstractions from nature are one the important element in mathematics. Mathematics is a universal subject that has connections to many different areas including nature. [IMAGE] [IMAGE] Bibliography: 1. http://users.powernet.co.uk/bearsoft/Maths.html 2. http://weblife.bangor.ac.uk/cyfrif/eng/resources/spirals.htm 3.