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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 does math answers mean?

ok , so math answers mean ... that u get the answers in math for example : im lookin up "how many sides doea a hexagon have?" so u get the answers aIN YOUR SUBJECT WHICH IS ..... MATH!!

Is the quotion of any two nonzero integers is a rational number true?

The definition of a rational number is the quotient of any two nonzero integers.

How did gaylord boxes get their name?

In the U.S. and Canada, the term gaylord is sometimes used for triplewall corrugated pallet boxes; this is due to the first bulk bins being manufactured by the original Gaylord Container Company of St. Louis, which was acquired by Crown Zellerbach of San Francisco in 1955.

Why can't linear graphs give an idea with clothing sizes for infants?

Growth rates of children is not a linear relationship. (The rate of growth changes at different ages).

How many times larger than a nanometer is a persec?

If you type "1 parsec in nm" in Google, you get the result: 3.08567758e25In other words, approximately 3 times 10 to the power 25.

How do you change a head gasket step by step on a fiat punto 60sx?

Punto head gasket change is quite an easy job to do. It is almost impossible to give step by step instructions on these pages. The best that I could suggest, is for you to get a Haynes manual for the Punto this will show the exact procedure to follow.

How to find the weight of 1sq.m of 5mm m.s plate?

steel weighs 490 pounds per cubic foot. A piece of steel 12" x 12" x 1" weighs 40.83 pounds. 7.65 lbs per square foot So ... 48" x 96" = 4' x 8' = 32 square feet and 7.65 lbs per square foot x 32 square feet = 245 lbs per full 0.1875" thick sheet

Is empty set the same as set of zero?

No. Zero is a number, so the "set of zero" contains one element.

The empty set, also known as the null set, contains no elements.

What is the power set?

The power set of a set, S, is the set containing all subsets of S - including S, itself, and the null set.

Who are you as a math learner?

Anyone can learn math, at least to some degree. If you are learning an advanced form of math, then you are an intelligent person.

What is zero filling?

Zero Filling
  • Zero filling is a way to overwrite all data on a hard drive. An analogy would be putting new asphalt over an old highway. This snip is from the Seagate Website: "(Quick) will write over the beginning of the drive which includes the critical partition information, eliminating all partitions and information on the drive including the Master boot record. This is useful if you have a drive that has a corrupted partition or that you wish to erase to reinstalll a fresh operating system and new data. (Full) will write over the entire data area of the drive. This is useful if a drive has bad sectors that cannot be fixed by the operating system. This will also erase all the data on the drive, but it will take several hours."
  • The simplest way to think of zero filling is setting every single byte of a storage device (RAM, HDD, whatever it may be), to null (character code 0). This effectively cleans the device of any data. This full text is online at: http://www.seagate.com/support/kb/disc/faq/ata_llfmt_what.html
  • Zero filling removes the data on a HD 100%. This is especially useful in preventing data being stolen from your HD. After doing a zero filling, (apparently) no tool can retrive data from your HD and everything is permanently deleted.
  • Zero filling is a low level hard disk management technique. As it suggests, it "fills the hard disk with zeros". By that, I mean that it magnetically prepares the disk to be a fresh disk, consisting of only zeros, no ones.
  • There is another common definition for 'Zero filling'. Typically, in software development you will have numeric entry fields where significant digits are important. If those digits are not entered you will 'zero fill' them to ensure the entire value is filled. For example, if you have a field which is six long and enter '123' then you will zero fill to get a value of '000123'.
  • The U.S. Marines released a data spec a while back that required for the drive to be zeroed completely 7 times. it seems there are some ways to get data back even if it's been zeroed. It just costs ungodly amounts of money.

How is a weighted credit score calculated to make an overall credit risk rating?

Focusing on individuals (including guarantors and/or co-signers), most major banks use what is known as a "weighted credit score" to calculate the borrowers credit risk. Part of that score will be derived directly from contents of the credit report and part of that score will be derived from other information about the borrower (e.g., bank relationship/account history, criminal record, income, assets, etc.).

These calculations, better known as "risk models," tend to be proprietary and focused on supporting the larger portfolio strategy of the bank.

To create that model, a bank will look back at all of their recent customer history (usually the most recent 3 to 5 years; depends on the focus of the model) and identify the elements that were predictive of customer default (e.g., number of late payments in the last 12 months) through the use of multiple regression techniques.

The bank will then refine and optimize the model through historical testing. At that point, each element that is related to defaulting will have a coefficient associated with the measure. This coefficient combined with the range of values that the element takes on provides the weighting for the overall score.

For example, say I have a very simple model for predicting default as follows (the higher the score, the higher the risk to lend to the borrower):

Credit Risk Rating = 50 * late payments in 12 months + 200 * legal judgments - 10 * annual income in thousands

In the above model, assuming that the range of late payments and legal judgments are similar (say, historically from 0 to 3), a legal judgment will negatively impact the score 4x as much as a late payment. However, high income will counter the risk.

How much pitching for 2 PVC pipe?

That would depend on how many drainage fixture units you want to drain and which LOCAL code your using.

What is the discriminant test for factorability?

For a quadratic equation the discriminant is: b2-4ac

If it's = 0 then the roots are equal

If it's < 0 then there are no roots

If it's > 0 then there are two different roots

What two positive numbers have a difference of 29 and a product of 180?

The factor pairs of 180 are (180, 1) (90, 2) (60, 3) (45, 4) (36, 5) (30, 6) (20, 9) (18, 10) (15, 12)

None of them have a difference of 29. 20 and 9 have that sum.