In number theory, Lagrange's theorem is a statement named after Joseph-Louis Lagrange about how frequently a polynomial over the integers mayâ€¦Â (More)

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2017

2017

- P. Madhusudan, Dirk Nowotka, Aayush Rajasekaran, Jeffrey Shallit
- ArXiv
- 2017

We prove, using a decision procedure based on finite automata, that every natural number>686 is the sum of at most 4 naturalâ€¦Â (More)

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2011

2011

- Sam Northshield
- The American Mathematical Monthly
- 2011

We present a short new proof that the continued fraction of a quadratic irrational eventually repeats. The proof easilyâ€¦Â (More)

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2011

2011

- Masahiro Ohishi, Fumio Ohtomo, +4 authors Chikao Nagasawa
- IEICE Transactions
- 2011

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2010

2010

- ANTON SUSCHKEWITSCH
- 2010

1. In my investigations in group theory, I have observed that Lagrange's theorem (that the order of a group is divisible by theâ€¦Â (More)

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2008

2008

- Sjur Didrik FlÃ¥m, Hubertus Th. Jongen, Oliver Stein
- Optimization Letters
- 2008

Manyeconomicmodels andoptimizationproblemsgenerate (endogenous) shadow pricesâ€”alias dual variables or Lagrange multipliersâ€¦Â (More)

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2005

2005

- Truong Quang Xuan, Duc Ha
- 2005

In this paper we investigate a vector optimization problem (P) where objective and constraints are given by set-valued maps. Weâ€¦Â (More)

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2001

2001

- Yoshio Takane, Michael A. Hunter
- Applicable Algebra in Engineering, Communicationâ€¦
- 2001

Constrained principal component analysis (CPCA) incorporates external information into principal component analysis (PCA) of aâ€¦Â (More)

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1997

1997

- Thomas Mueller
- Combinatorica
- 1997

Footnote for page 8: For the form of Lagrange's theorem used here see for example 4, Abstract. We establish an asymptoticâ€¦Â (More)

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1987

1987

- Paul, Melvyn Nathanson
- 1987

The central problem in additive number theory is as follows: Let A be a set of nonnegative integers. Describe the set of integersâ€¦Â (More)

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1980

1980

For every N > I we construct a set A of squares such that JA < (4/log 2)N 1 / 3 log N and every nonnegative integer n < N is aâ€¦Â (More)

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