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Numerical Series Expansion
Mathematicians, scientists, and engineers often need solutions for difficult to unsolvable equations in order to progress in their work. Fortunately, through various methods of numerical and polynomial series expansions, some of the most problematic equations can be approximated to easily workable forms. Please post all questions regarding the various expansions and series, such as the Taylor and Maclaurin series expansions, the binomial expansion, and the geometric expansion, as well as the rules that govern them, into this category.
468 Questions
What is ungrouped data in statistics?
Asked by Wiki User
Ungrouped data in statistics refers to raw, individual data points that have not been sorted or organized into any specific groups or categories. This type of data is often presented in a list format and may require further analysis or manipulation to draw meaningful insights or conclusions.
Sample of a very short story-plot summary?
Asked by Wiki User
A young girl discovers a mysterious portal in her backyard that leads to a magical kingdom. She embarks on a journey to rescue the kingdom from an evil sorcerer, learning about courage and friendship along the way. In the end, she unlocks her true potential and saves the kingdom from destruction.
Why was there no 1994 World Series?
Asked by Wiki User
The 1994 World Series was canceled due to a players' strike that began on August 12, 1994, and led to the remainder of the season being canceled, including the World Series. This was the first time in 90 years that the World Series was not played.
What is the relationship between natural frequencies of an object and the harmonics that can be created in the object?
Asked by Wiki User
The frequencies of the harmonics are integer multiples of the natural frequency.
What is the objective for numerical maths?
Asked by Wiki User
The objective is to provide approximate solutions for problems that don't have a traditional (exact) solution. For example, numerical integration can provide definite integrals in cases where you can't find an exact solution via an antiderivative. Note that in this example, you can get the answer as exact as you want - that is, you can make the error as small as you want (but not zero).
What is the pattern 1-5-1-15-45-1?
Asked by Wiki User
One possible answer is:
Un = (-3n5 + 38n4 - 159n3 + 250n2 - 90n - 30)/6
Why you use series expansion ie Taylor or maclaron or any other series during solving problems?
Asked by Wiki User
Some functions cannot be evaluated by normal means and you need an infinite series to get approximate answers.
What does an binomial expansion do?
Asked by Wiki User
Binomial Expansion makes it easier to solve an equation. It brings an equation of something raised to a power down to a solveable equation without parentheses.
How do you tell if a geometric series diverges or con verges?
Asked by Wiki User
If the absolute value of the common multiple is less than 1 then it converges and, if not, it diverges.
How do you get numbers 8 9 and 12 by using four 5's?
Asked by Wiki User
The answer depends on what mathematical operations are permitted.
One set of solutions is:
8 = 5!/(5+5+5)
9 = 5 + 5 - 5/5
12 = .5*5!/sqrt(5*5)
Why is it important that you be able to use series like the Maclaurin to approximate the behavior of various functions?
Asked by Wiki User
Is one third the same as thirty percent?
Asked by Wiki User
No. 1/3 is 33.3333333333333333333333333333333333%
