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5 days ago · What is a proof? The ‘proof’ in ‘proofreader’ comes from the publishing term describing an early printed copy. Traditionally, typesetters would arrange letter tiles onto large plates that are then used to print pages of a book.
2 days ago · Proof of Wilson's Theorem A positive integer \(n\ (>1)\) is a prime if and only if \((n-1)!\equiv -1\pmod n. \ _\square\) At first glance it seems that proving \((1)\) is a really difficult job, but proving \((2)\) shouldn't be that hard.
1 day ago · Proof by strong induction. Step 1. Demonstrate the base case: This is where you verify that \(P(k_0)\) is true. In most cases, \(k_0=1.\) Step 2. Prove the inductive step: This is where you assume that all of \(P(k_0)\), \(P(k_0+1), P(k_0+2), \ldots, P(k)\) are true (our inductive hypothesis). Then you show that \(P(k+1)\) is true.
1 day ago · The New York Times sued OpenAI in December for copyright infringement, alleging that the AI giant used millions of its articles to train ChatGPT. Now OpenAI is asking for proof that NYT articles ...
2 days ago · In this tutorial, we will see some of the top online proofreading tools that can be used to polish any writing piece and make it error-free. Fact Check: The productivity of any business with an online presence is directly affected by the communication they offer.
3 days ago · Linearity of expectation is the property that the expected value of the sum of random variables is equal to the sum of their individual expected values, regardless of whether they are independent. The expected value of a random variable is essentially a weighted average of possible outcomes.
3 days ago · Get the best cryptocurrency wallets to protect your crypto coins from any malicious activities. Proof of stake is a consensus mechanism to secure blockchain networks and validate crypto transactions. Learn how PoS works, along with its pros and cons.
