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- What is infinity divided by infinity? - Mathematics Stack Exchange
I know that $\\infty \\infty$ is not generally defined However, if we have 2 equal infinities divided by each other, would it be 1? if we have an infinity divided by another half-as-big infinity, for
- Conditions for infinite solutions - Mathematics Stack Exchange
Isn’t the system required to have atleast a unique solution before having infinite solutions? 2) is it necessary , for such a system to have infinite solutions , that the determinant of the coefficient matrix should always be zero ? Or can we get infinite solutions even if the coefficient matrix is non-singular? Thanks for helping !
- linear algebra - What, exactly, does it take to make an infinite . . .
If your infinite dimensional space has an inner product and is complete with respect to the induced norm then it is an infinite dimensional Hilbert space That's all it takes to make an infinite dimensional Hilbert space
- Example of infinite field of characteristic $p\\neq 0$
Can you give me an example of infinite field of characteristic p ≠ 0 p ≠ 0? Thanks
- linear algebra - Definition of Infinite Dimensional Vector Space . . .
In the text i am referring for Linear Algebra , following definition for Infinite dimensional vector space is given The Vector Space V(F) is said to be infinite dimensional vector space or infin
- Limit of infinite series - Mathematics Stack Exchange
So if an infinite series converges to any real than the limit of the partial sums sequence is equal to $0$, right? Does that mean that the limit of the series is $0$ too? What confuses me is quot;
- Is there a shape with infinite area but finite perimeter?
But the circumference also defines the subset with infinite area that lays "outside" (which is a conventional concept) That other "outside shape" would be an example of a finite-perimeter curve with an infinite area That sounds like cheating and playing with words
- How do you add, subtract, multiply, and divide infinite decimals?
@XanderHenderson Yes, formally infinite decimals are defined in terms of infinite series But elementary school students are taught what infinite decimals mean intuitively without discussing what limits are Similarly, I want algorithms that allow you to add, subtract, multiply, and divide decimals without having to know what limits are
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