Not a function: “one to many“. In other words, let’s say you had one x-value that maps to many y-values. For example, — in coordinate notation — (2,1) and (2,10). If the first number (the x-value) repeats, then you do not have a function. To put that another way, ...
How to find how many ordered list from set?Sets; Order:For a finite set S with n>0 elements, an ordered list of S is an ordered pair (A,f) formed by a subset (maybe empty) A⊂S and an injective function f:A→|A|∈N∪{0}. We'll count the number of such pairs for any ...
How to prove a function is periodic? Given: y' = 2xy, y(1) = 1 Find y(1.2) using the Runge-Kutta method with a step size of h=0.2. Let f: Z_12 → Z_12: x → 9 x + 1 where arithmetic is done modulo 12. a) Show that f is neither injective, nor surjective. b) Now ...
Again how many more are there?(4) Finally for f from S to T does there exist an inverse function. For f-1 to exist then f must be both and injection and a surjection. Can you find such an f?Think about these and let me know if you need more help. If so on which part(s)....
We say that a hash function is c-bounded if the number of preimages for any image is no more than c. To be usable in the Merkle-Damg˚ard construction, we will also need that the hash functions have domain {0, 1}λ and range {0, 1}λ for some λ < λ. For simplicity we ...
ofNpoint-particles parametrized byα=1,…,N, let this configuration space be calledQ. ALagrangianis a map from the tangent bundle on configuration space to the reals:L:TQ→R. Once integrated along a curve, the Lagrangian yields theaction functionalas a function from curvesγinQinto the real...
You can createsmart contracts, which are essential for decentralized applications to function well. Did Ethereum make this change to become one of the best crypto-staking coins? Probably not. Ethereum is a decentralized blockchain widely used by developers for creating technology based upon it, an...
To my knowledge, serialize-then-hash is a collision-resistant composite hash function, assuming that the underlying hash function (such as SHA-256) is collision-resistant, and your underlying serialization function (such as JSON) is in fact injective.There are other valid composite hash functions,...
顶/踩数: 0/0 收藏人数: 0 评论次数: 0 文档热度: 文档分类: 论文--医学论文 文档标签: HowAndCanNeedcanandWhyneedhowwhy 系统标签: logicteachneedtheoremsmathematicssect Why we need to teach logic and how can we teach it? Mária Bakó ∗ Abstract Logic is usually left out from education in...
Let G be a set with the operation * then G is said to form a group if it satisfies the four property, commutativity, associativity, inverse and the identity of the group. The number of elements in the group is called the order of the group....