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The Newton–Pepys problem is a probability problem concerning the probability of throwing sixes from a certain number of dice. [1] In 1693 Samuel Pepys and Isaac Newton corresponded over a problem posed to Pepys by a school teacher named John Smith. [2] The problem was: Which of the following three propositions has the greatest chance of success?
There is great flexibility in how Parsons problems can be designed, including the types of code fragments from which to select, and how much structure of the solution is provided in the question. [3] Easier Parsons problems provide the complete block structure of the solution included in the question, and the provided lines of code simply need ...
This CAPTCHA (reCAPTCHA v1) of "smwm" obscures its message from computer interpretation by twisting the letters and adding a slight background color gradient. A CAPTCHA (/ ˈ k æ p. tʃ ə / KAP-chə) is a type of challenge–response test used in computing to determine whether the user is human in order to deter bot attacks and spam. [1]
AOL Mail uses many security measures to keep your account secure, one of which is CAPTCHA or image challenges when sending mail. These challenges exist to make it harder for hackers to access your accounts. The characters can't be read by a computer and must be entered manually, ensuring only a real person can pass the test. Why am I being ...
Diceware is a method for creating passphrases, passwords, and other cryptographic variables using ordinary dice as a hardware random number generator. For each word in the passphrase, five rolls of a six-sided die are required. The numbers from 1 to 6 that come up in the rolls are assembled as a five-digit number, e.g. 43146. That number is ...
For any pair of positive integers n and k, the number of k-tuples of positive integers whose sum is n is equal to the number of (k − 1)-element subsets of a set with n − 1 elements. For example, if n = 10 and k = 4, the theorem gives the number of solutions to x 1 + x 2 + x 3 + x 4 = 10 (with x 1, x 2, x 3, x 4 > 0) as the binomial coefficient
There is no rose on the 2, 4, or 6 faces, so these count as zero. There are no petals on the 1 face, so it also counts as zero. There are two petals and four petals on the 3 and 5 faces, respectively. The solution to a given throw is the total number of petals. For example, in a roll of , the only petals are on the 3 and 5 faces, for a total of ...
For example, when a) the work of splitting the problem and combining the partial solutions take time, where is the input size and is some constant; b) when <, the algorithm takes time upper-bounded by , and c) there are subproblems where each subproblem has size ~ . Then, the running times are as follows: