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On the mathematical description of quantized fields [PDF]
Communications in Mathematical Physics, 1970 We start from Haag's proposal to describe quantum fields at a point, corresponding to the heuristic description by means of their matrix elements (A(x)Φ‖Ψ) between vectors of a dense linear manifoldD of the Hilbert space. We particularize this idea, so that the sesquilinear functional that describes the field at a point may be considered as an element ...
Ascoli, R., Epifanio, G., Restivo, A.
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The Mathematics of Quantum Fields
Advances in Mathematics, 1975 Publisher Summary This chapter discusses the mathematics of quantum fields. Quantum field theory is the only satisfactory framework known that unites the principles of quantum mechanics with special relativity. Its goal is to describe elementary particles.
James Glimm
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Reverse Mathematics and Algebraic Field Extensions [PDF]
Computability, 2013 25 ...
Paul Shafer +2 more
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Field Dependency and Performance in Mathematics [PDF]
European Journal of Educational Research, 2014 <p style="text-align:justify">Mathematics is an important school subject but one which often poses problems for learners. It has been found that learners do not possess the cognitive capacity to handle understanding procedures, representations, concepts, and applications at the same time.
ONWUMERE, Onyebuchi, REİD, Norman
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International Journal of Learning and Development, 2013 The Enrichment Center for Gifted and Highly Talented Children is based at the Gordon Academic College of Education in Haifa and attracts fourth to sixth grade children from 30 different schools. The center offers a wide variety of workshops including a workshop on Mathematical thought.
Ilana Levenberg, Cahit Shacham
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Reflections on the Field of Mathematics Education Introduction
Journal of Mathematics Education at Teachers College, 2022 Reflections on the Field of Mathematics ...
Journal Editor
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Special issue on mathematics in early childhood education
Nordisk Barnehageforskning, 2023 "Mathematics is an important part of children’s daily life. The value of mathematics for young children is reflected in curricula for early childhood in the Nordic countries and consequently, mathematics education courses are included in teacher ...
Tamsin Meaney +2 more
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Cogent Education, 2023 This paper sought to explore the Knowledge of Algebra for Teaching and the algebra difficulties of In-field and Out-of-field Junior High School mathematics teachers using the expanded KAT framework.
Williams Osei, Douglas Darko Agyei
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History of mathematics in mathematics education: Recent developments in the field
ZDM – Mathematics Education, 2022 Over the last 40 years, exploring the possible interrelations between the history of mathematics and mathematics education has gradually emerged as an interdisciplinary domain of educational research and practice, and entered a maturity stage during the ...
Renaud Chorlay +2 more
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The Modern Mathematics of Deep Learning [PDF]
arXiv.org, 2021 We describe the new field of mathematical analysis of deep learning. This field emerged around a list of research questions that were not answered within the classical framework of learning theory.
Julius Berner +3 more
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