Lead, mercury and asbestos are counter-examples . In fact, one can easily think of counter examples . 更聪明的AI(人工智能):没有反例 数据的机器学习. Previous PostPrevious Smarter AI: Machine learning without negative data.
The counterexample lies at the intersection of control theory and information theory. We can also generate counterexamples . People who doubt the claim are more likely to cite counterexamples . I would bet you 10 dollars that I could find three counterexamples . 尽管有好几百个类似越战的反例 ,我们还是生活在“我能行”的状态里。 In spite of hundreds of Vietnam examples to the contrary , we live in a"can do". 达克沃斯没有一个地方能解决自我报告的问题,或者提供反例 。 Nowhere does Duckworth grapple with the problems of self-reporting, or offer counter-examples . If so, explain why and if not, give an example to the contrary . For a negative example , consider the real numbers in the unit interval, ordered by their natural order. 为了获得Beal奖,参与者有两年提交解决方案或反例 . To earn the Beal Prize, participants have two years to submit a solution or counterexample . 她认为这些反例 恰好证明了语言不是唯一影响我们注意点的因素。 She says the counterexamples simply prove language isn't the only factor affecting what we notice. 为了获得Beal方程的奖金,参与者有两年时间来提出解决方案或反例 . To earn the Beal Prize, participants have two years to submit a solution or counterexample . 她认为这些反例 只是简单的证明了语言不是唯一影响我们注意焦点的因素。 She says the counterexamples simply prove language isn't the only factor affecting what we notice. 普遍陈述的一般性质使得它们非常容易受到特定反例 的影响。 The general nature of universal statements makes them very vulnerable to specific counterexamples . 神秘的是,对于易受如此明显反例 影响的结果的效用的概念是如何延续这么长时间的。 The mystery is how a conception that is vulnerable to such obvious counterexamples survived for so long. 有些人不同意上述的基本前提,并举出了自己国家的反例 。 Some disagreed with the basic premise, citing examples to the contrary from their country' s experience. 这可总结为下列蕴涵:你可以找到反例 证明这些蕴涵都是不可反转的。 In summary we have the following implications: One can find counterexamples showing that none of these implications reverse. 一直以来,数学家用计算机来校验这两个阐述,直至19位数,还没找到反例 。 Mathematicians have checked the validity of both statements by computer for all numbers up to 19 digits, and they have never found an exception . 圣经说好教导会结好果子,但现在,却是反例 发生,而我们说这没有问题。 Scripture says that good teachings will bear good fruit, but now, the reverse is occurring, and we say it's not a problem. 假反例 ”将是最糟糕的结果,就是程序告知一个人他们没有患癌症,但实际上他们患上了癌症。 False negatives would be the worse possible case- that's when the program told someone they definitely didn't have cancer but they actually did. 虽然我不喜欢泛泛而谈,当然也喜欢提供反例 ,这样我们都可以检查我们的假设。 Although I do hate sweeping generalizations in general, and do enjoy providing counter examples so we can all check our assumptions. 虽然你不太可能邀请到410000位客人到你的乡村别墅进行聚会,但Shitov的工作并没有排除存在更小反例 的可能。 And while you're unlikely to invite 410000 guests to your country home, Shitov's work doesn't rule out the existence of much smaller counterexamples . 此外,已经出现了许多反例 ,有些函数不能通过单个隐藏层的MLP直接学习或者需要无限数量的节点。 Further, many counterexamples have been presented of functions that cannot directly be learned via a single one-hidden-layer MLP or require an infinite number of nodes. 当我就这一主题发表演讲时,有人总会提出这个原则的异常值,比如猎豹作为反例 ,”Bejan说。 When I would give speeches on this topic, somebody would always bring up outliers to this principle such as the cheetah as counterexamples ,” said Bejan.
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