No offence, your idea of applications, especially that of measurements is ridiculous.
Mathematics can be applied to reality but we do not care.
Mathematics is no more useless than music, painting, rock-climbing or writing a good book. Are these things useless? Of course not!
You may have noticed this. There is a double standard going on against mathematics. You have never seen questions like “What are the real life applications of music?” or “What are the real life applications of reading good books?” But questions like “Why would anyone learn math? What are the real world applications of it?” are readily available everywhere. Why the double standards?
I view mathematics as an art form. It is not useless. I also do not believe that mathematics is important only because of its “practical applications”. Mathematics is not useful just because Gauss used it locate asteroids, or people now use it to encrypt stuff. The original appeal of mathematics does not lie there. Mathematics is useful in its own right and merit. Like I said, it’s an art form. And I shouldn't have to justify why I do mathematics.
If you know how to rephrase the question, tell me. I will change it.
By each term, we mean each instance ofFor such a term to be an integer, and should both be integers. Hence, should be for some and should be for some .
So, you want all non-negative ordered solutions of 2x+8y=1024