In this chapter, we studied the Egyptian, Chinese, Roman, Babylonian, Mayan, and Greek numeration systems in addition to our own Hindu-Arabic number system. Please research and respond to at least two of the following topics: Which systems do/don't have a symbol for "zero"? If the system has a symbol for zero, what is it? What […]

  Find an example of data in the news or on social media and share it in the Discussion Board. If you find your data in an online source, please include the link to the source in your post. Describe the type of data in your example, and what questions you have around the validity […]

We want to know what you think and how you’re doing! The following question will give you a chance to self-evaluate, to think about what you’ve been learning in this course, and to draw your own conclusions about how you can apply your problem solving skill in your life. Your answers may be used to […]

Please use the sample format as attached mlx file and upload both mlx and pdf. Make sure to sign problems and which part is it. By hand part you should write by hand and take a picture then insert it in.  Notes. When uploading your work, be sure to choose correct pages, without missing any, […]

   Week 6 Define a topological space X with a subspace A. Find and describe a pair of sets that are a separation of A in X. In addition look at your classmates’ topological spaces, subspaces, and separated sets. Discuss the validity of their separation. For example: Consider ℝu, ℝ with the upper limit topology, […]

   Week 5 Research the separation axioms distinguishing T0, T1, T2, T3, and T4 spaces. Discuss some interesting aspects of these spaces to include their subtlety. Note that it is easy to create a space that is not even T0, e.g. X = {a,b,c,d,e} with Ƭ = {∅, X, {a,b,d},{a,b}, {d}} where the points a […]

   Week 7 Respond to one of the following two prompts: i) Define a topological space X that is compact and show that it is compact using the definition of compactness and/or relevant theorems. ii) Define a topological space that is not compact and show that it is not compact using the definition of compactness […]

   Week 7 Respond to one of the following two prompts: i) Define a topological space X that is compact and show that it is compact using the definition of compactness and/or relevant theorems. ii) Define a topological space that is not compact and show that it is not compact using the definition of compactness […]

   Week 5 Research the separation axioms distinguishing T0, T1, T2, T3, and T4 spaces. Discuss some interesting aspects of these spaces to include their subtlety. Note that it is easy to create a space that is not even T0, e.g. X = {a,b,c,d,e} with Ƭ = {∅, X, {a,b,d},{a,b}, {d}} where the points a […]

   Week 6 Define a topological space X with a subspace A. Find and describe a pair of sets that are a separation of A in X. In addition look at your classmates’ topological spaces, subspaces, and separated sets. Discuss the validity of their separation. For example: Consider ℝu, ℝ with the upper limit topology, […]