0
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 are the multiples of 6 from 1 to 5733?
6, 12, 18, 24, 30 and keep adding 6 nine hundred fifty more times till you get to 5730.
It's money. The eurodollar, usually called the euro, is the standard currency in most of Europe. Seventy euro is, well, seventy euros.
What is the formula of exponegtial decay?
The general form is y(t) = a + y(0)*exp(-bt)where y(t) is value of the variable at time t.
the starting value is a + y(0) and the asymptotic value (as t -> infinity) is a.
Why do we find the limit of a function?
Typically, it's to give you an idea of a function graphically. Sometimes you deal with functions that are really hectic in design and they don't really have all the points smoothly in place (for example, a graph with an empty point or ^, a peak). A limit gives you an idea of what's happening with the graph as you get close to that point or area (as with infinity not being an actual point), hence the "as x approaches N," N being either some number, or negative or positive infinity.
The decimal shows a repeating pattern. Repeating decimals are rational.
What is the roles of roman numerals?
Roman numerals were fully developed during the Roman Empire, as the Roman Empire had a large amount of territory; numbers was required to measure and control the immense and vast territory. The Romans made use of Roman numerals, which was based primarily 7 letters which composed the Roman numeration, the Romans assigned values to each letter corresponding to each of the following values: I is 1, V is 5, X is 10, L is 50, C is 100, and D is 500and M is 1,000.
Why you call zero by the name zero?
The derivation is from the early 17th cent.: from French zéro or Italian zero, via Old Spanish from Arabic ṣifr 'cipher.'
What is the solution to 30X to 29Y?
"30X to 29Y" is not an equation nor an inequality. There is, therefore, not a mathematical solution to the question.
Why does multiplication or division with a negative number yield a negative answer?
The assertion in the question is not always true. Multiplying (or dividing) 0 by a negative number does not yields 0, not a negative answer.
Leaving that blunder aside, let p and q be positive numbers so that p*q is a positive number.
Then
p*q + p*(-q) = p*[q + (-q)] = p*[q - q] = p*0 = 0
that is p*q + p*(-q) = 0
Thus p*(-q) is the additive opposite of p*q, and so, since p*q is positive, p*(-q) must be negative.
A similar argument works for division.
When is a metric on a set complete?
A metric on a set is complete if every Cauchy sequence in the corresponding metric space they form converges to a point of the set in question. The metric space itself is called a complete metric space.
See related links for more information.
