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Word problem from the Līlāvatī (12th century), with its English translation and solution. In science education, a word problem is a mathematical exercise (such as in a textbook, worksheet, or exam) where significant background information on the problem is presented in ordinary language rather than in mathematical notation.
The word problem for an algebra is then to determine, given two expressions (words) involving the generators and operations, whether they represent the same element of the algebra modulo the identities. The word problems for groups and semigroups can be phrased as word problems for algebras. [1]
The opposite of embarrassingly parallel problems are inherently serial problems, which cannot be parallelized at all. A common example of an embarrassingly parallel problem is 3D video rendering handled by a graphics processing unit, where each frame (forward method) or pixel (ray tracing method) can be handled with no interdependency. [3]
Although the reality of most of these biases is confirmed by reproducible research, [2] [3] there are often controversies about how to classify these biases or how to explain them. [4] Several theoretical causes are known for some cognitive biases , which provides a classification of biases by their common generative mechanism (such as noisy ...
[88] (opposite of appeal to tradition) Appeal to poverty (argumentum ad Lazarum) – supporting a conclusion because the arguer is poor (or refuting because the arguer is wealthy). (Opposite of appeal to wealth.) [89] Appeal to tradition (argumentum ad antiquitatem) – a conclusion supported solely because it has long been held to be true. [90]
In other words, Tesla uses lidar during the data-gathering process, helping to inform the vehicle's camera system, which Karpathy said is a more scaleable method. The miles ahead
More broadly, proof by contradiction is any form of argument that establishes a statement by arriving at a contradiction, even when the initial assumption is not the negation of the statement to be proved. In this general sense, proof by contradiction is also known as indirect proof, proof by assuming the opposite, [2] and reductio ad ...
Two types of convergent tasks used were, the first being a remote associates tasks, which gave the subject three words and asked what word the previous three words are related to. The second type of convergent thinking task were insight problems, which gave the subjects some contextual facts and then asked them a question requiring interpretation.
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