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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 skewnes?

Skewness is a measure of symmetry, or more precisely, the lack of symmetry. A distribution, or data set, is symmetric if it looks the same to the left and right of the center point.

The Shape of a Histogram

A histogram is unimodal if there is one hump, bimodal if there are two humps and multimodal if there are many humps. A nonsymmetric histogram is called skewed if it is not symmetric. If the upper tail is longer than the lower tail then it is positively skewed. If the upper tail is shorter than it is negatively skewed.

Unimodal, Symmetric, Nonskewed

Nonsymmetric, Skewed Right

Bimodal

What is the name of the set of 6 consecutive integers starting with -3?

U so stupid. Didn't you learn to count? Ask your mommy I'm sure she's smart. Maybe...

Why are pipes circular shaped?

Because that's the easiest way to make them, and the strongest. EDIT: Also the circular shape allows for a smoother flow of liquid within the pipe and less resistance.

How many monogram are in 1 hectogram?

Monogram is something (initial or initials) put on a shirt or jacket.

What is the importance of set theory in math?

It develops the power to apply logic and logic in an integral part of mathematics.

Can a magnet and metal propel?

Magnets are most commonly made out of metal, so yes, two metal magnets can repel. But metals such as iron are attracted to magnets even if the metal itself is not magnetized. Iron is attracted to both poles of a magnet, and it can not be repelled by a magnet.

What is the purpose of a correlation analysis?

The purpose of correlation analysis is to check the association between two items. This can be useful in determining accuracy.

What is the importance of a dot product being equal to zero?

Vectors are said to be orthogonal if their dot product is zero.

Vectors in Rn are perpendicular if they are nonzero and orthogonal.

What is the time-line of the discovery of the universe?

The universe is older than mankind and mankind evolved within the universe. So the universe could not be discovered.

How do soccer players use math?

To see how long there stamina is,the can run around without water and to see how long they need to train for.

What is the biggest number you can round of 120000?

120005

Some people will argue that 5 should always be rounded up. That is wrong since it introduces an upward bias.

If you follow these rules:

0 no rounding required.

1,2,3,4 round down

5,6,7,8,9 round up

A random set of numbers will end equally in any one of the digits. You are round up 5 times out of ten and rounding donw only 4 out of ten. This introduces a bias. The solution is to round 5s up or down to an even digit. Then 1 out of ten does not require rounding, 4 out of ten are always rounded down, 4 out of ten always rounded up, and one is rounded up or down with equal probability. Result? Expected bias = 0.

What are the two example of empty sets?

There is only one empty set - the universal empty set. It is a set that contains no elements.

It is usually denoted by { } or the Greek letter phi = Φ (not pi = π).

What does it mean to have a period for more than five days?

There is nothing wrong in have your period for more than five days. But there is cause for alarm if that is not the way you started menstrating. You need to see your doctor about this, he/she is the best person do diagnose what the problem is.

Who are the permanent members of the United Nations?

The list changes every few years. Please see the accompanying link for the current list.

What is Working Capital Ratio or Current Ratio?

The Working Capital Ratio or Current Ratio is a financial ratio that measures whether or not a company has enough cash to pay off all the debt payments that are due over the next 1 year (12 months) It compares the organizations current assets and its current liabilities.

Formula:

WCR = Current Assets / Current Liabilities

Ex: Let us say ABC Corp has total assets of 5 crores and owes State Bank of India a loan of 3 crores to be repaid before the end of next year, the WCR for them would be

WCR = 5,00,00,000/3,00,00,000 = 1.66

This effectively means that, as of today ABC corp has 1.66 rupees for every rupee of debt it owes SBI.

Though this is good, an acceptable WCR in market terms is 2 or greater which shows that the company is sufficiently liquid and financially stable.