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Mathematical Analysis

Mathematical analysis is, simply put, the study of limits and how they can be manipulated. Starting with an exhaustive study of sets, mathematical analysis then continues on to the rigorous development of calculus, differential equations, model theory, and topology. Topics including real and complex analysis, differential equations and vector calculus can be discussed in this category.

2,575 Questions

What is the chance of accurate underwater sonar imaging?

Very high.

Not sure you can express it as a probability question though.

The actual definition depends on various factors including frequency (wavelength), scanner geometry and performance, scanning speed and geometry, the image-processing, water depth, scattering and absorption, nature of the objects being scanned, etc., but sonar performance is increasing all the time as the manufacturers all seek to produce better instruments than their rivals!

Explain in details about general Lebesgue integral?

There are whole books explaining Lebesgue integrals. I cannot explain all of that in one page!

How many football fields long is 17920 km of land?

1km = 1093.61 Yards

So, (17 920km * 1 093.61 yd)/100

Equals out to be: 195 974.912 Football Fields.

What is the integer of 80 degrees Fahrenheit?

80 is an integer. If you are asking for the Celsius equivalent of 80°F, then the answer is 26.555...°C

What is the date of Thanksgiving?

November 26 1621.......the pilgrims and Indians first celebrated it to set peace among them and there family

How many years from BC to AD?

The year before the year One AD is called the year One BC. (There was no year zero.) We call it that now, according to the Gregorian Calendar. At the time it was called different names in different places where other calendars were used. This means that from the year 5 BC to the year 5 AD, for example, was 9 years, not 10 as you might expect if there had been a year zero. And today, there are people who use CE (Common Era) for the AD years and BCE (Before the Common Era) for the BC years.

Repair crack in PVC pipe?

You have to determine how long the crack is and then cut out the bad section allowing for that which you can not see (hairline cracks). You will probably need the correct size pipe and connectors (couplings S x S) and PVC cement and PVC primer, a fine saw for cutting the pipe. Dry fit everything making sure the new section of pipe is of the correct length. There is a small situation in which you need the flexibility in the old plumbing to be able to attach the new section. You just have to think it thru.

Ken

What did infinitesimal calculus do?

Infintismal calc is the combination of intergral calc and differential calc

The volume of the Great Pyramid of Egypt is 91445760 cubic feet. What is the height of the pyramid if the length of each base edge is 756 feet?

Volume = 1/3 area of base * height

find area of base

756^2 = 571536 square feet

91445760 cubic ft = 1/3(571536 sq ft)(height)

multiply through by 3

274337280 = 571536h

divide by h's coefficient

= 480 feet tall

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How do you know when a triangle is 90 degrees?

we know that a triangle is 90 degrees by measuring its length or it can be known as right triangle which measures 90 degrees.

What value is equivalent to the following symbol 10!6!?

10! and 6! means factorial of 10, and factorial of 6, respectively. You can calculate that on most scientific calculators - or you can multiply all numbers from 1 to 6 for the factorial of 6, and all numbers from 1 to 10 for the factorial of 10.