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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 least common multiple of 16 and 160?
Since 160 is a multiple of 16, it is automatically the LCM of this problem.
What prime numbers can you use to get a total of 2625?
They are 3, 5 and 7: 3 x 5 x 5 x 5 x 7 = 2,621
When you use cross product and dot product in vector?
Dot product and cross product are used in many cases in physics. Here are some examples:
- Work is sometimes defined as force times distance. However, if the force is not applied in the direction of the movement, the dot product should be used. Note that here - as well as in other cases where the dot product is used - the product is greatest when the angle is zero; also, the result is a scalar, not a vector.
- The cross product is used to define torque (distance from the axis of rotation, times force). In this case, the product is greatest when the two vectors are at right angles. Also - as in any cross product - the result is also a vector.
- Several interactions between electricity and magnetism are defined as cross products.
How do you prove Fatou's Lemma?
The well-written proof can be found in the Wikipedia article, which can be located in a link below.
Assuming that "prasentig" is your attempt at spelling percentage, the answer is 1/5 = 20%.
Is there a concept in mathematics that is impossible to prove a thing does not exist?
There is no such concept because it is not true. There are many mathematical proofs based on proving the non-existence of a thing.
The following example should demonstrate.
I want to prove that the biggest number does not exist.
Let us suppose it does exist, and let us call it B (for biggest).
But then consider B + 1.
B + 1 is bigger than B (this can be proved as well).
So B cannot be the biggest number.
That is, there is no such number B. In other words, the biggest number does not exist.
Given any two groups there will usually be random variations in their scores. A proper statistical test is designed to assess whether the observed difference is likely to be a result of such random variation or if it due to a genuine - reliable - difference between the groups.
How do you work the problem 15-6t equals 11t?
Form the equation: 15-6t = 11t.
Add 6t to both sides of the equation to obtain:
15 = 17t or 17t = 15.
Divide both sides of the equation by 17 to obtain:
t = 15/17.
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How many miles are in 10575 feet?
Miles is the imperial unit of measuring distances. Kilometers or meters is the metric unit. 1 mile is 1.6093 km. So to convert km to miles, we divide by 1.6093. 1 feet = 0.0001893 miles. The corresponding distance in miles is 2.003
When you have to say that a give sets is infinite and empty-set?
A set is infinite if it has infinitely many elements in it.
