The Mandelbrot and Filled Julia Sets The Mandelbrot and Filled Julia Sets are sets of numbers that are composed of complex numbers that do not diverge for varying conditions of the function fc(z)=z²+c. For the Mandelbrot set, the function is iterated from z=0. The filled Julia set holds c constant for any complex number to look at the behavior of the iterated functions for each value of z in the complex plane. Both sets are derived from the iterations of simple functions in the complex plane, but cause unpredictable, infinite fractal patterns when graphed. Furthermore, the sets are integral parts of chaos theory and hold a number of other mathematical truths within them, such as the value of pi. The groundwork for both functions was set by…
How destructive is the white savior complex? While the white savior complex article written by “Teju Cole” argues that many efforts by the North Americans to rescue “victims” of poverty and injustice in Africa are more about the western activist and their desire for a sentimental heroism than caring about the actual need of the African, it ultimately causes a major division between white activist and the racial other. The white savior complex is basically quite destructive trope that has been…
note the location of the file) so as to not lose any of your work. Once completed, you will submit this document to WGU for grading. Instruct What student misconceptions have you encountered related to fraction, decimal, and percentage concepts? How do you help students understand the notion of equivalence among fractions or prepare them for this understanding? One misconception I have encountered with fraction is that students have a misunderstanding of what the denominator and numerator…
that specifies a predefined symbol map with the number of distinct symbol map values to use as symbols. samples per symbol specifies an even, positive number of samples dedicated to each symbol. Multiply this value by the symbol rate to determine the sample rate. The default value is 16. symbol values specifies an array of symbol values with an order that corresponds to the symbol map. The number of QAM states in the array must be 2N, where N is the number of bits per symbol. The length, or…
Computers have all but replaced humans for doing complex calculations. But computers handle numbers much differently than humans do. At this point, the majority of people use base-10 for their math. The base of a number system refers to the number of number symbols used in that system. In base 10 the numbers used are 0, 1, 2, 3, 4, 5, 6, 7, 8, and 9. Humans use this system because it shortens numbers. Humans have 10 fingers so it is logical that base-10 counting systems developed naturally. But…
specific part called Geometry, it is this section that I am going to mainly focus on. Geometry consists of shapes. These many shapes can then be put together to form patterns. They are the Golden Ratio, Fractals, Spiral Growth, and Voronoi Patterns. The Golden Ratio consists of ratios which the two larger sums are equivalent to the ratio. Fractals are infinitely complex patterns which repeat endlessly. Spiral growth is shown in nature. Voronoi Patterns help architectures design. These different…
Counters are tokens which represent units or numbers, so they can be anything. Teachers can cheaply acquire or make a bulk amount of counters to use. Some examples of what teachers often use for this manipulative are: dried beans, popcorn kernels, jelly beans, colored paper squares, marshmallows or Fruit Loops style cereal. Another advantage of this manipulative is their ease of use. Students can use counters intuitively, it does not take much instruction time explaining how to use them. A…
8 May 2017 Egyptian Numbers The numbers of Ancient Egypt arose around 3000 BC. At this time the Egyptian society was already advanced, urbanized, and expanding rapidly long before the creation of the written numeral system. The new advances in mathematics became too detailed for the human brain to remember so the need arose for the written system. The Egyptians felt the need to move away from oral culture because of the importance of the information being discovered thus the written langue was…
The needs of math arose based on the wants of society. The more complex a society, the more the mathematical needs. Primitive tribes needed little more than the ability to count, but also relied on math to calculate the position of the sum and the physics of hunting. Generally, it has led to curiosity of why do Asians do better in the math subject prospectively but not all countries do. In research, Asian system of education places strong emphasis on mathematical structures from early education…
Although the number system is the same as in the United States of America, the way they are written in text is different. The numbers are fairly similar. They have the same number symbol, but with a diagonal line going through them from the top left to the bottom right. The numbers are used in various ways such as stating a monetary value, timekeeping, and measurements. They are all kept on a form of screen text such as texting or in a computer program. This is due to our written language being…