Results 1 to 10 of about 713,469 (282)

A hypothetical upper bound on the heights of the solutions of a Diophantine equation with a finite number of solutions

open access: yesOpen Computer Science, 2018
We define a computable function f from positive integers to positive integers. We formulate a hypothesis which states that if a system S of equations of the forms xi· xj = xk and xi + 1 = xi has only finitely many solutions in non-negative integers x1, .
Tyszka Apoloniusz
doaj   +2 more sources

Is there a computable upper bound for the height of a solution of a Diophantine equation with a unique solution in positive integers?

open access: yesOpen Computer Science, 2017
Let Bn = {xi · xj = xk : i, j, k ∈ {1, . . . , n}} ∪ {xi + 1 = xk : i, k ∈ {1, . . . , n}} denote the system of equations in the variables x1, . . . , xn. For a positive integer n, let _(n) denote the smallest positive integer b such that for each system
Tyszka Apoloniusz
doaj   +3 more sources

The integer solutions of the cubic Diophantine equation x3±33=pqy2

open access: yesXi'an Gongcheng Daxue xuebao, 2021
The solvability of a class of cubic Diophantine equations is studied by using properties of congruence, Legendre symbol and the methods of elementary number theory.
Heng LI, Hai YANG, Yongliang LUO
doaj   +1 more source

RELIABILITY OF THE GPS CARRIER-PHASE FIX SOLUTION UNDER HARSH CONDITION [PDF]

open access: yesThe International Archives of the Photogrammetry, Remote Sensing and Spatial Information Sciences, 2022
Once the unknown integer ambiguity values are resolved, the GPS carrier phase observation will be transformed into a millimeter-level precision measurement. However, GPS observation are prone to a variety of errors, making it a biased measurement.
M. I. Mohd Dzukhi   +5 more
doaj   +1 more source

Integer solutions to bankruptcy problems: The IPROP solution

open access: yesRendiconti Lincei, Matematica e Applicazioni, 2022
A widely studied problem is that of a bankruptcy, where several agents claim different amounts of a resource, the estate , that is not enough to satisfy all claims. In some occurrences, the estate is made by integer unities: several contributors (among them also the authors) have proposed ...
Fragnelli, Vito, Gastaldi, Fabio
openaire   +2 more sources

Solving Linear Integer Models with Variable Bounding

open access: yesForecasting, 2023
We present a technique to solve the linear integer model with variable bounding. By using the continuous optimal solution of the linear integer model, the variable bounds for the basic variables are approximated and then used to calculate the optimal ...
Elias Munapo   +2 more
doaj   +1 more source

Distribution transformer relocation problem: an integer programming solution

open access: yesIET Generation, Transmission & Distribution, 2021
The short‐term expansion planning of the private utilities, as well as the emerging technologies such as photovoltaic panels (PVs), plug‐in hybrid electric vehicles (PHEVs), cryptocurrency mining, and storage elements spread, make the long‐term load ...
Kamyar Azimi Hosseini   +3 more
doaj   +1 more source

The Support of Integer Optimal Solutions [PDF]

open access: yesSIAM Journal on Optimization, 2018
The support of a vector is the number of nonzero-components. We show that given an integral $m\times n$ matrix $A$, the integer linear optimization problem $\max\left\{\boldsymbol{c}^T\boldsymbol{x} : A\boldsymbol{x} = \boldsymbol{b}, \, \boldsymbol{x}\ge\boldsymbol{0}, \,\boldsymbol{x}\in\mathbb{Z}^n\right\}$ has an optimal solution whose support is ...
Aliev, I   +4 more
openaire   +6 more sources

Synthesis of the integer FIR filters with short coefficient word length

open access: yesWasit Journal for Pure Sciences, 2022
The integer simulation and development finite impulse response (FIR) filters taking into account the possibilities of their realization on digital integer platforms are considered.
Osamah Waleed allawi   +1 more
doaj   +1 more source

Economic Order Quantity for Growing Items with Discrete Orders [PDF]

open access: yesمجله مدل سازی در مهندسی, 2019
This paper presents an economic order quantity model (EOQ) for growing items. In this inventory system, a buyer orders those items such as livestock and poultry, after a period of time grow and reach their ideal weight.
Amirhossein Nobil, Ata Allah Taleizadeh
doaj   +1 more source

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