Was the Elements an exposition of the most advanced mathematics of its time? (Elements by Euclid)

Was the Elements an exposition of the most advanced mathematics of its time? (Elements by Euclid)

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Colby Messinger answered 1 year ago

We are working on functions of complex variables in calculus (Chpt. 17.4 in Advanced Engineering Mathematics),...

We are working on functions of complex variables in calculus (Chpt. 17.4 in Advanced Engineering Mathematics), and our prof posed us the following question: "Find the function w = u + iv = f(z) that maps the region S := {z : 0 ≤ arg z ≤ π 4 } to the upper half plane {w = u + iv : v ≥ 0}." the answer he gave to this problem was as follows: "such a mapping is given by...

Taking a seminar in applied mathematics means doing a mathematical model. now its time to reflect...

Taking a seminar in applied mathematics means doing a mathematical model. now its time to reflect on the work. Need help writing a: Self-Assessment of Progress: Outline the work you still have to complete on your report and share your plan for completing these elements in time for the final submission. Identify elements for which you need feedback and assistance from your peers and instructor. Reflection on Your Experience: As you complete your final work and review your report, share...

Why are the most abundant elements found in our bodies not the most abundant elements found...

Why are the most abundant elements found in our bodies not the most abundant elements found in Earth's crust? (e.g., What characteristics of the most abundant elements in our bodies make them suitable for life?) How do the structures of carbohydrates, lipids, proteins (structural and enzymatic), and nucleic acids relate to their functions? Include in your discussion a brief description of the structure of each type of molecule.

A company has decided to replace its inspection machine with an advanced one. The advanced machine...

A company has decided to replace its inspection machine with an advanced one. The advanced machine costs $15,000. Use the information given in the following table and assume a MARR of 9% and the machine’s service life of 4 years to determine the economic life of the new machine j S.V. Operating Costs 1 $6,000 $3,600 2 $5,400 $5,600 3 $4,860 $7,600 4 $4,374 $9,600

This week we will be studying the mathematics of finance. Most people take out a loan...

This week we will be studying the mathematics of finance. Most people take out a loan for making big purchases like a home or a car. People who have a balance on their credit card are borrowing money. Some investigation is often required to find the “Best Deal”. Please post your solution to one of the following problems: a) Calculate the amount of simple interest earned : $3,500 at 7% for 3 years b) Find the future value : $475...

Approximately 54% of mathematics students do their homework on time. In a class of 250 students,...

Approximately 54% of mathematics students do their homework on time. In a class of 250 students, what is the mean, variance, and standard deviation if we assume normality and use the normal distribution as an approximation of the binomial distribution? Answer choices rounded to the nearest whole number. a.) Mean = 135 Variance = 62 Standard Deviation = 8 b.) Mean = 53 Variance = 62 Standard Deviation = 8 c.) Mean = 54 Variance = 8 Standard Deviation =...

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True/False Mathematics is used in physics mainly to impress people. Most of the world uses the...

True/False Mathematics is used in physics mainly to impress people. Most of the world uses the US Customary System of units. A rocket doesn’t need a surrounding medium to push against in order to move. The kilogram is a unit of mass. Acceleration is a vector.

What are the 2 most important elements of cognitive therapy?

Most of the organisms considered to be “more advanced” from anevolutionary standpoint, reproduce sexually. This...

Most of the organisms considered to be “more advanced” from an evolutionary standpoint, reproduce sexually. This indicates there are advantages in sexual reproduction. Research the advantages of sexual reproduction compared to asexual reproduction and provide examples of both? What types of organisms mainly reproduce asexually vs those that mainly reproduce sexually? Why do you think evolution favored sexual reproduction over asexual reproduction? What is an example of an organism that can reproduce both ways? How is this advantageous? Make sure...

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