Search results for “sinh”
132 results
Integrals with Trigonometric Functions
Reference
Reference table of indefinite integrals of sine, cosine, tangent and their powers and products.
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QUANTILE-BASED APPROACH TO ESTIMATING COGNITIVE TEXT COMPLEXITY
2020Conference paperM. A. Eremeev, K. V. Vorontsov
Computational Linguistics and Intellectual Technologies
This paper introduces an approach to measuring the cognitive complexity of texts on various language levels. While standard readability indices are based on the linear combination of primary statistics, our general approach allows us to estimate complexity on morphological, lexical, syntactic, and discursive levels. Each model is defined by the tokens for the specific language level and the complexity function of a single token. We then use the reference collection of moderately complex texts and the quantile-based approach to spot the abnormally rare tokens. The proposed supervised ensemble, based on the ElasticNet model, incorporates models from all language levels. Having collected a labeled dataset through crowdsourcing, consisting of pairs of articles from the Russian Wikipedia, we consider several models and ensembles and compare them to common baselines. Suggested models are flexible due to the freedom in choosing the reference collection. The described experiments confirm the competitiveness of the proposed approach, as the ensembles demonstrate the best target metric value.
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Integrals of Trigonometric Functions and Exponentials
Reference
Reference table of indefinite integrals of products of exponentials with sine and cosine.
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Integrals of Trigonometric Functions and Monomials
Reference
Reference table of indefinite integrals of products of powers of x with sine and cosine.
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IMO 1959
Problem sheet
International mathematics competition for pre-university students, held annually since 1959. Six problems over two days.
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IMO 1960
Problem sheet
International mathematics competition for pre-university students, held annually since 1959. Six problems over two days.
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IMO 1961
Problem sheet
International mathematics competition for pre-university students, held annually since 1959. Six problems over two days.
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