The Extreme Value Theorem guarantees that a continuous function on a finite closed interval has both a maximum and a minimum, and that the maximum and the minimum are each at either a critical point, or at one of the endpoints of the interval. When trying to find the maximum or minimum of a continuous function on a finite closed interval, you take the derivative and set it to zero to find the ...
In this case, it is easy to get $ (0,0,0)$. But, if the question is to find minimum of $ (x^2+y^2+z^2)/xyz$, then how we could solve this using a standard approach like we do in the case of single variable functions? Source: I got this problem accidentally from wolframalpha while looking for some thing different.
I have been playing the app Euclidea, I have been doing quite well but this one has me stumped. "Construct a triangle whose perimeter is the minimum possible whose vertices lie on two side of the ...
Identifying maximum and minimum in Lagrange multiplier problems via compactness of constraint Ask Question Asked 1 year, 6 months ago Modified 1 year, 6 months ago
In this way, you have to generate only a small fraction of all the codewords to find the minimum distance, and the idea can be generalized to any linear code. The first step then is to find a covering of the coordinates with information sets.
Otherwise, continue as follows: The definition of 'distance' is the minimum distance between any two points A,B on the two lines. So assume points A,B are the ones who provide the minimum distance between the lines.
Now that got me thinking that what would be the minimum number of numbers in a sudoku grid such that it can be solved. Following are the rules of Sudoku and the grid is as follows: A $9×9$ square must be filled in with numbers from $1-9$ with no repeated numbers in each line, horizontally or vertically.
