Concepedia

Generalized Arithmetic

Generalized Arithmetic is a theoretical framework within algebraic thinking that extends arithmetic reasoning by focusing on the structural properties and relationships of numbers and operations, rather than computational outcomes, to express generality through symbols and patterns.

66

Publications

3.7K

Citations

117

Authors

55

Institutions

Publications per year

2017–2026

6

Parents

Publications

66

Realization of a scalable Shor algorithm

Thomas Monz, Daniel Nigg, Esteban A. Martinez et al. · Science · 2016 · 490 citations · Full text

, , +13

Role of Dehydration in Heat Stress-Induced Variations in Mental Performance

P. M. Gopinathan, G. Pichan, Vandana Sharma · Archives of Environmental Health An International Journal · 1988 · 386 citations

, , +15

Generalized and generative thinking in US and Chinese students’ mathematical problem solving and problem posing

Jinfa Cai, Stephen Hwang · The Journal of Mathematical Behavior · 2002 · 311 citations

, , +12

Inverse Littlewood–Offord theorems and the condition number of random discrete matrices

Terence Tao, Van Vu · Annals of Mathematics · 2009 · 222 citations · Full text

, , +13

Generalized arithmetical progressions and sumsets

Imre Z. Ruzsa · Acta Mathematica Academiae Scientiarum Hungaricae · 1994 · 195 citations

, , +10

1–5 of 66

Authors

117

  1. DA
    David A. Smith

    The Ohio State University, United States

    3 publications · 66 citations

    3

    h-index

  2. TT
    Terence Tao

    University of California, Los Angeles, United States

    2 publications · 275 citations

    2

    h-index

  3. FS
    Frank Swetz

    Pennsylvania State University, United States

    2 publications · 130 citations

    2

    h-index

  4. NV
    N. V. Belyakin

    2 publications · 22 citations

    2

    h-index

  5. VV
    Van Vu

    University of California, Los Angeles, United States

    2 publications · 275 citations

    2

    h-index

1–5 of 117

Institutions

55

  1. University of Debrecen

    Debrecen, Hungary

    2 h-index

    3 publications

    62 citations

  2. University of California, Los Angeles

    Los Angeles, United States

    2 h-index

    2 publications

    275 citations

  3. University of Missouri

    Columbia, United States

    2 h-index

    4 publications

    197 citations

  4. Rutgers, The State University of New Jersey

    New Brunswick, United States

    2 h-index

    2 publications

    275 citations

  5. Institute for Research in Fundamental Sciences

    Tehran, Iran

    1 h-index

    1 publications

    30 citations

  6. Bu-Ali Sina University

    Hamadan, Iran

    1 h-index

    1 publications

    30 citations

  7. Defence Institute of Physiology and Allied Sciences

    Delhi, India

    1 h-index

    3 publications

    1.2K citations

  8. City University of Hong Kong

    Hong Kong, Hong Kong

    1 h-index

    2 publications

    28 citations

1–8 of 55

Venues

  1. Duke Mathematical Journal

    DMJ · 4 publications · 125 citations

    4

    h-index

  2. Algebra and Logic

    2 publications · 22 citations

    2

    h-index

  3. ZDM

    2 publications · 106 citations

    2

    h-index

  4. OpenGrey (Institut de l'Information Scientifique et Technique)

    Repository · 2 publications · 32 citations

    2

    h-index

  5. IEEE Transactions on Computers

    2 publications · 44 citations

    2

    h-index

1–5