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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

Who is this scientist created the Solar Disruption Theory?

Mark Hanson i guess.. but i'm not pretty sure with that but many people say it's Mark Hanson who created the SOLAR DISRUPTION.

Simplify 45 over 64?

45/64 is already in its simplest form

What is a weak solution?

the solution which has low dissolving power i guess

How can you simplify 1.1?

1.1, as a decimal number, cannot be simplified.

What is the error propagation in numerical methods?

Error propagation in numerical analysis is just calculating the uncertainty or error of an approximation against the actual value it is trying to approximate. This error is usually shown as either an absolute error, which shows how far away the approximation is as a number value, or as a relative error, which shows how far away the approximation is as a percentage value.

One over four divided by negative two over five?

The answer to 1/4 divided by -2/5 equals -0.025. This is a math problem.

How do you convert percentages into averages?

Are you talking about grades? There are several ways to do this. Ask the teacher how it is done.

What are the essential elements of modern day statistics?

Modern day statistics involves the collection, organization, interpretation and the resulting presentation of numerical information.

Do you need math to be a composer?

Yes, being a composer requires vast knowledge of musical notes and times (4/4ths time, etc) each note has a specific amount of time a lotted to it's beat (4 quarter notes per bar)... etc.

Why is it said that if you add percents you often obtain incorrect results?

It may refer to the sum of percentages using 'whole number' approach.

For instance:

In a class A of 20 students only two students are redheaded, i.e. 10% of the students are redheaded. In a class B of 30 students only three students are redheaded, i.e. 10% of the students are redheaded. All students of the class A and all students of the class B are in assembly hall. What is the percentage of redheaded student in the assembly hall?

To answer the question the sum of both class percentages (10%+10%=20%) cannot be used.

You cannot even express the class percentages in fractions and sum them (10/100 + 10/100=20/100=20%).

The easiest way to calculate the percentage of the redheaded students in the assembly hall is to calculate the percentage from scratch ((2+3)/(20+30)=0.10=10%) and not to use the class percentages.

Another example of problem with the summation of percents are consequent percentage changes.

The book you want to buy was marked off 30%. Afterwards the book was discounted by 30% again. If you buy the book after the second discount, you save 51% of the original price (not 60%, the sum of the two discounts).

The first discount reduced the price to 70% of the original price. The second discount reduces the discounted price by 30%, i.e. the final price is 49% of the original price (0.7*0.7=0.49=49%). You save 51% (100%-49%).

Percentage decrease followed by percentage increase can cause even more surprising results.

The price of a share decreased by 60% one year. The next year the share price raised by 80%. The net effect was 28% decrease from the original price!

The share price was 40% of the original price after the first year. The next year the price raised by 80% of the lowered price, i.e it was 72% of the original price (1.8*0.4=0.72=72%). The net decrease was 28% (72%-100%).

How much 500ml makes a liter?

500 ml = 1/2 liter

so, two times of 500 ml make one liter.

How do you write 36.678 in word form?

Thirty-six point six seven eight.Or thirty-six and six-hundred seventy eight thousandth.