Describe some important ways in which your sample differs from your target population, and how that might alter the results.

• Nonsampling errors are due to incorrectly collecting or recording data.

The first Greek schools of “math,” known as the Ionian and Pythagorean schools, can be dated back to around 400 B. Additionally, the Greeks refined, expanded, and promoted rigor, “It was said that the Greek geometricians are compared with those current at a later date”. brought” it to Italy where it was then translated to Latin and ushered to Europe and further refined.

Along the way other cultures too, refined the subject. Today, new discoveries continue to manipulate mathematics.

The Chinese introduced a place value system, which was further refined by the Hindu-Arabic numeral system. Although math, in some form or another, is employed routinely, the truth is, mathematics as known today, carry on a highly sophisticated origin.

The vectors in the group will always all have the same dimension, and in most cases this dimension will be what’s called the rank of the group, which can be very large.And that was the case with this particular theorem.It would seem that any reasonably competent algebraist in a particular area, say abelian group theory, would have all the pieces which are required to prove theorems in that area. For instance, I am pretty sure that Eilenberg and Steenrod didn’t sit down together over a beer one day and say, “Wouldn’t it be neat to draw up a set of axioms for a thing called a category and then invent a concept called a functor, and then see if these would be useful for anything.General guidelines (if you’re not already following the style of an English class): • 12-point font • 1-inch margins • Single or 1.Mathematics arose as part of everyday life for humans, utilizing it to survey land, count, and track seasons; he did not know his routine actions would one day be unveiled as the science known as “math.” The earliest recognition of “math” as a subject can be tracked back to the "Pythagorean theorem." Pythagoreans around the 6th century BC.You should clearly identify: i) The type of study you planned to perform ii) The individuals/objects being measured and population of interest iii) Your sampling frame (if different from the population, which it usually is) iv) Your sampling method, and if convenience sampling was necessary, explain why it was the only realistic option v) Your data collection techniques – tools (a survey or recording sheet, a measurement device), protocols (time, location, instructions for person who is doing the data collection), and any other relevant information.Any documents you use will be included in the appendix of this paper.Actual Experience In this subsection, you will describe your experiences gathering data.i) How closely did your experience match your original plan?The purpose of this section is to summarize your results.It must include: i) A description of the variables in your study, along with their type (qualitative/quantitative AND discrete/continuous) and level of measurement (nominal, ordinal, etc.).

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