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Discussion
Yolanda said This seemed like a very short chapter, at least it did to me. Bob agreed Yes, but the professor indicated that the goal was just provide some key examples.
Discussion
Yolanda said This seemed like a very short chapter, at least it did to me. Bob agreed Yes, but the professor indicated that the goal was just provide some key examples. I think he was hinting at more general notions of inversionalthough I haven't a clue as to what they might be.
Clearly aggravated, Zori said I've had all I can stand of this big integer stuff. This won't help me to earn a living. Xing now was uncharacteristically firm in his reply Zori. You're off base on this issue. Large integers, and specifically integers which are the product of large primes, are central to public key cryptography. If you, or any other citizen, were highly skilled in large integer arithmetic and could quickly factor integers with, say \(150\) digits, then you would be able to unravel many important secrets. No doubt your life would be in danger.
At first, the group thought that Xing was way out of boundsbut they quickly realized that Xing felt absolutely certain of what he was saying. Zori was quiet for the moment, just reflecting that maybe, just maybe, her skepticism over the relevance of the material in applied combinatorics was unjustified.
Tani ti. Asnjë kalkulator nuk e zgjidh këtë, por pjesët e saj janë të llogaritura. Provo një më poshtë, ose shkruaj tënde.
Një llogari e lirë shtohet shënime në çdo mësim, një regjistrim të asaj që ju keni përfunduar, problemet tuaja të zgjidhura në një vend, dhe një mësues që ju mund të pyesni rreth kësaj faqeje. Matematika vetë është e hapur për të gjithë, të regjistruar apo jo.
Regjistrohu HyrSimbolet e përdorura këtu
Prek çdo simbol për përkufizimin e plotë, një fotografi dhe se çfarë do të thotë çdo shkronjë në të.
Pyetja që bëjnë njerëzit
Permutation or combination?
Ask whether order matters. A lock code is a permutation (order matters); a hand of cards is a combination (it does not).
What is a graph in this sense?
Dots (vertices) joined by lines (edges), not a plot. Road maps, social networks and molecules are graphs; questions like "is there a route" and "how few colours" are graph theory.
Pjesa e kësaj faqeje është adaptuar nga Keller & Trotter, Applied Combinatorics (CC BY-SA 4.0). E përmbledhur dhe ri-shkruar këtu; gabimet janë tona.
Më shumë në Combinatorics & Graph Theory
The counting principlesPigeonhole principle and inclusion, exclusionBinomial coefficients and Pascal's triangleRecurrences and generating functionsGraphs: vertices, edges, degreesPaths, cycles, trees, Euler and HamiltonColouring and planar graphs