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In Piaget's model of intellectual development, the fourth and final stage is the formal operational stage.In the classic book "The Growth of Logical Thinking from Childhood to Adolescence" by Jean Piaget and Bärbel Inhelder formal operational reasoning takes many forms, including propositional reasoning, deductive logic, separation and control of variables, combinatorial reasoning, and ...
Take LDA for an example. To model natural scene images using LDA, an analogy is made with document analysis: the image category is mapped to the document category; the mixture proportion of themes maps the mixture proportion of topics; the theme index is mapped to topic index; the codeword is mapped to the word.
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]
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.
Zipf's law, in linguistics, is the observation that the frequency of use of the nth-most-frequently-used word in any natural language is approximately inversely proportional to n, or, more simply, that a few words are used very often, but many or most are used
The court saw images of the suspect kicking a person on the ground, chasing targets and punching people in the head and body. The prosecutor said the beatings had "little to do" with soccer, but ...
Recto page from a rare Blackletter Bible (1497). The canons of page construction are historical reconstructions, based on careful measurement of extant books and what is known of the mathematics and engineering methods of the time, of manuscript-framework methods that may have been used in Medieval- or Renaissance-era book design to divide a page into pleasing proportions.
In a now-viral video on TikTok, bride-to-be Kate O'Neill explains how her fiancé Michael O'Malley developed an "insane but practical" way to cut down their wedding guest list The groom-to-be ...