Explicit methods for arithmetic on curves and surfaces
Explicit methods for arithmetic on curves and surfaces
批准号:
261486-2008
负责人:
Bruin, Nils
金额:
$1.46万
依托单位:
依托单位国家:
加拿大
项目类别:
Discovery Grants Program - Individual
财政年份:
2009
资助国家:
加拿大
项目状态:
已结题
起止时间:
2009-01-01 至 2010-12-31
中文摘要
数学科学的很大一部分关注于开发各种类型的方程的解的方法。最简单的方程是多项式方程,其中变量仅使用加法和乘法组合。这是研究过的最古老的方程类型。如果仅限于自然数、整数或有理数的解,就称这样的方程为丢番图方程。像这样的方程在许多实际情况下都会出现,例如在共振问题中,将选举结果转化为席位分配,以及关于离散配置的各种问题。
英文摘要
A large part of the mathematical sciences is concerned with developing methods for finding solutions to various types of equations. The simplest kind of equation is the polynomial equation, where the variables are combined using just addition and multiplication. This is the oldest type of equation that was ever studied. One calls such an equation a Diophantine equation if one restricts to solutions that are natural numbers, integers, or rational numbers. Equations like this come up in many practical situations, such as in resonance problems, translating election results into seat distributions, and various questions about discrete configurations.
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Explicit and computational approaches to arithmetic geometry
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批准号:RGPIN-2018-04191
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项目类别:Discovery Grants Program - Individual
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资助金额:$1.68万
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财政年份:2022
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负责人:Bruin, Nils
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依托单位:
Explicit and computational approaches to arithmetic geometry
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批准号:RGPIN-2018-04191
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项目类别:Discovery Grants Program - Individual
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资助金额:$1.68万
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财政年份:2021
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负责人:Bruin, Nils
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依托单位:
Explicit and computational approaches to arithmetic geometry
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批准号:RGPIN-2018-04191
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项目类别:Discovery Grants Program - Individual
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资助金额:$1.68万
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财政年份:2020
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负责人:Bruin, Nils
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依托单位:
Explicit and computational approaches to arithmetic geometry
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批准号:RGPIN-2018-04191
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项目类别:Discovery Grants Program - Individual
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资助金额:$1.68万
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财政年份:2019
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负责人:Bruin, Nils
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依托单位:
Explicit and computational approaches to arithmetic geometry
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批准号:RGPIN-2018-04191
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项目类别:Discovery Grants Program - Individual
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资助金额:$1.68万
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财政年份:2018
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负责人:Bruin, Nils
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依托单位:
Explicit methods in arithmetic geometry
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批准号:261486-2013
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项目类别:Discovery Grants Program - Individual
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资助金额:$2.11万
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财政年份:2017
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负责人:Bruin, Nils
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依托单位:
Explicit methods in arithmetic geometry
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批准号:261486-2013
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项目类别:Discovery Grants Program - Individual
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资助金额:$2.11万
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财政年份:2016
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负责人:Bruin, Nils
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依托单位:
Explicit methods in arithmetic geometry
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批准号:261486-2013
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项目类别:Discovery Grants Program - Individual
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资助金额:$2.11万
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财政年份:2015
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负责人:Bruin, Nils
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依托单位:
Explicit methods in arithmetic geometry
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批准号:261486-2013
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项目类别:Discovery Grants Program - Individual
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资助金额:$2.11万
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财政年份:2014
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负责人:Bruin, Nils
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依托单位:
Explicit methods in arithmetic geometry
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批准号:261486-2013
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项目类别:Discovery Grants Program - Individual
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资助金额:$2.11万
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财政年份:2013
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负责人:Bruin, Nils
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依托单位:
Explicit methods for arithmetic on curves and surfaces
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批准号:261486-2008
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项目类别:Discovery Grants Program - Individual
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资助金额:$1.46万
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财政年份:2012
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负责人:Bruin, Nils
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依托单位:
Explicit methods for arithmetic on curves and surfaces
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批准号:261486-2008
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项目类别:Discovery Grants Program - Individual
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资助金额:$1.46万
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财政年份:2011
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负责人:Bruin, Nils
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依托单位:
Explicit methods for arithmetic on curves and surfaces
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批准号:261486-2008
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项目类别:Discovery Grants Program - Individual
-
资助金额:$1.46万
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财政年份:2010
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负责人:Bruin, Nils
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依托单位:
Explicit methods for arithmetic on curves and surfaces
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批准号:261486-2008
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项目类别:Discovery Grants Program - Individual
-
资助金额:$1.46万
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财政年份:2008
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负责人:Bruin, Nils
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依托单位:
Rational points on curves and abelian varieties
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批准号:261486-2003
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项目类别:Discovery Grants Program - Individual
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资助金额:$1.06万
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财政年份:2007
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负责人:Bruin, Nils
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依托单位:
Rational points on curves and abelian varieties
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批准号:261486-2003
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项目类别:Discovery Grants Program - Individual
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资助金额:$1.06万
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财政年份:2006
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负责人:Bruin, Nils
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依托单位:
Rational points on curves and abelian varieties
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批准号:261486-2003
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项目类别:Discovery Grants Program - Individual
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资助金额:$1.06万
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财政年份:2005
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负责人:Bruin, Nils
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依托单位:
Rational points on curves and abelian varieties
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批准号:261486-2003
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项目类别:Discovery Grants Program - Individual
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资助金额:$1.06万
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财政年份:2004
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负责人:Bruin, Nils
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依托单位:
Rational points on curves and abelian varieties
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批准号:261486-2003
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项目类别:Discovery Grants Program - Individual
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资助金额:$1.06万
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财政年份:2003
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负责人:Bruin, Nils
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依托单位:
Computations on abelian varieties
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批准号:264270-2003
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项目类别:Research Tools and Instruments - Category 1 (<$150,000)
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资助金额:$1.24万
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财政年份:2002
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负责人:Bruin, Nils
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依托单位:
国内基金
海外基金
复杂图像处理中的自由非连续问题及其水平集方法研究
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批准号:60872130
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项目类别:面上项目
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资助金额:28.0万元
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批准年份:2008
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负责人:刘国才
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依托单位:
Computational Methods for Analyzing Toponome Data
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批准号:60601030
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项目类别:青年科学基金项目
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资助金额:17.0万元
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批准年份:2006
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负责人:Axel Mosig
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依托单位: