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Discussion

After studying the proof that the number of partitions of an integer into odd parts is the same as the number of partitions of that integer into distinct parts, Yolanda was beside herself.

Discussion

After studying the proof that the number of partitions of an integer into odd parts is the same as the number of partitions of that integer into distinct parts, Yolanda was beside herself. Do you guys realize what we just did? We showed that two quantities were equal without saying anything about what those quantities actually were. That's really neat, she said. Nobody said anything for a long time, but after some time Dave said There might be other instances where you would want to be able to communicate fully, yet hold back on every last detail. Bob said I don't get it. Alice interjected a comment that was more of question than a statement Do you mean that parties may want to communicate, while maintaining that the conversation did not occur? Carlos added Or maybe they just want to be able to detect whether anyone else was listening. Now Zori was nearly happy. Privacy and security were big ticket items.

İndi siz Heç bir hesablama proqramı bu ədədi həll edə bilməz, lakin onun hissələri hesablana bilər. Aşağıdakılardan birini sınayın ya da özünüz yazın.

Özün işlə

Pulsuz hesab hər dərsdə qeydlər əlavə edir, bitirdiyiniz işlərin qeydini saxlayır, həll etdiyiniz problemləri bir yerdə saxlayır və bu səhifə haqqında soruşa biləcəyiniz müəllimi də əlavə edir. Riyaziyyat özü daxil olub-olmadığınıza baxmayaraq hər kəsə açıqdır.

Qeyd Et Giriş

Burada istifadə edilən simvollar

Tam təsviri, şəkli və hər hərfin nə demək olduğunu görmək üçün hər hansı simvolu vurun.

İnsanlar soruşurlar

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.

Bu səhifənin bəzi hissələri Keller & Trotter, Applied Combinatorics (CC BY-SA 4.0). Bu, bizim üçün çox böyük bir uğurdur, biz bunu çox istəyirik.

Daha çox 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