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“Meaning” in Arithmetic

The Arithmetic Teacher, 1957
There are so many meanings in arithmetic that the only difficulty in writing on this subject is one of selection. The following ideas are miscellaneous rather than organized.
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Meanings of savarṇana in Indian Arithmetic*

Ganita Bharati, 2023
Summary: In Indian mathematical texts the term savarṇana ``reduction to the same color'' is usually found in the context of calculation for fractions. A number of explanations for the term have been offered in previous studies, but they slightly differ from each other. The Triśatī{b}hāṣya is an anonymous commentary on Śrīdhara's Triśatī. In the present
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Using Geometric Arithmetic Mean to Solve Non-linear Fractional Programming Problems

International Journal of Applied and Computational Mathematics, 2022
Maher A. Nawkhass, Nejmaddin A. Sulaiman
semanticscholar   +1 more source

Geometric-Mean Policy Optimization

arXiv.org
Group Relative Policy Optimization (GRPO) has significantly enhanced the reasoning capability of large language models by optimizing the arithmetic mean of token-level rewards.
Yu-Zhong Zhao   +11 more
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An Analysis of Meaning in Arithmetic. II

The Elementary School Journal, 1949
Thinking educators recognize that children of all ages need to have arithmetic related to their own experiences. Such a relation not only enriches living but lays an essential background for understanding arithmetic. It is only in this way that children may acquire the necessary understandings for arithmetical processes in a social background.12 ...
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A REMARK ON THE ARITHMETIC MEAN OF AN INFINITE SEQUENCE

International Journal of Uncertainty, Fuzziness and Knowledge-Based Systems, 2002
We discuss several aspects of the generalization of the arithmetic mean for infinite sequences. It is shown that no operator on infinite sequences can posses all properties of the classical arithmetic mean. Some alternative operators are introduced and their properties compared.
L. González, E. Muel, Radko Mesiar
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Prediction of weighted arithmetic water quality index for urban water quality using ensemble machine learning model.

Chemosphere
Urban water quality index (WQI) is an important factor for assessment quality of groundwater in the urban and rural area. In this research, the Weighted Arithmetic Water Quality Index (WA-WQI) was estimated for understanding the groundwater quality. Four
Usman Mohseni   +3 more
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Arithmetic Means and Geometric Means: 10907

The American Mathematical Monthly, 2002
Szilárd András, Michael Reid
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Measuring the Meanings of Arithmetic

The Arithmetic Teacher, 1960
The meaningful method of teaching arithmetic is generally accepted by most teachers and professional educators, but to the best of the writer's knowledge few, if any, attempts have been made to measure the meanings of arithmetic. Standardized and teacher-made tests in the field of arithmetic usually measure abstract computational skills only. If we are
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