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…
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…
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…
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…
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…
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…
kindergarten five days a week. Mark is Emi's nephew, we brought Easter eggs for Mark to motivate his interest toward activities. With the trust relationship between Emi and Mark and the supportive atmosphere in Mark’s home, the activities ran smoothly. Mark engaged in three activities including number sense and addition activity, the combination of mathematical language and numbers activity, and coins activity. During the interactions, one educator observed and took notes, while the other…
Their selection and effective use needs careful consideration and meticulous planning (Drews, 2007). Judgment regarding the appropriateness of a resource should be based on the extent of how the mental images produced by children are likely to be helpful/unhelpful in scaffolding their thinking (Bottle, 2005). Drews (2007) also noted that whilst structured manipulatives, such as, Dienes and Cuisenaire are especially helpful for children struggling with decomposition and number property and…
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…