Programmable one-pot oligosaccharide synthesis
    1.
    发明授权
    Programmable one-pot oligosaccharide synthesis 失效
    可编程的一锅寡糖合成

    公开(公告)号:US07019131B2

    公开(公告)日:2006-03-28

    申请号:US10400090

    申请日:2003-03-25

    IPC分类号: C08B37/00 G06F19/00 G01N31/00

    CPC分类号: C07H21/00 Y02P20/55

    摘要: The reactivity of a number of p-methylphenyl thioglycoside (STol) donors which are either fully protected or have one hydroxyl group exposed has been quantitatively determined by HPLC in conjunction with the development of a broadly applicable approach for a facile one-pot synthesis of oligosaccharides. The influence on reactivity of the structural effects of different monosaccharide cores and different protecting groups on each glycoside donor is characterized and quantified. In addition, a correlation between glycosyl donor reactivity and the chemical shift of the anomeric proton by 1 H NMR has been established. A database of thioglycosides as glycosyl donors has been created using this reactivity data. The utility is demonstrated by the easy and rapid one-pot assembly of various linear and branched oligosaccharide structures. In addition, a computer program as been described for use as a database search tool and guide for the selection of building blocks for the one-pot assembly of a desired oligosaccharide or a library of individual oligosaccharides.

    摘要翻译: 已经完全保护或具有一个羟基暴露的许多对甲基苯基硫代糖苷(STOL)供体的反应性已通过HPLC定量测定,结合广泛适用的寡糖一锅合成方法的发展 。 对每种糖苷供体的不同单糖核心和不同保护基团的结构效应的反应性的影响进行了表征和量化。 此外,已经建立了糖基供体反应性和通过1 H NMR的端基异质子的化学位移之间的相关性。 使用该反应性数据创建了作为糖基供体的硫代糖苷的数据库。 通过各种线性和支链寡糖结构的简单快速的一锅装配来证明实用性。 此外,描述了用作数据库搜索工具的计算机程序和用于选择所需寡糖或单个寡糖文库的一锅装配的构建块的指南。

    Programmable one-pot oligosaccharide synthesis
    2.
    发明授权
    Programmable one-pot oligosaccharide synthesis 失效
    可编程的一锅寡糖合成

    公开(公告)号:US06538117B1

    公开(公告)日:2003-03-25

    申请号:US09762377

    申请日:2001-07-10

    IPC分类号: C08B3700

    CPC分类号: C07H21/00 Y02P20/55

    摘要: The reactivity of a number of p-methylphenyl thioglycoside (STol) donors which are either fully protected or have one hydroxyl group exposed has been quantitatively determined by HPLC in conjunction with the development of a broadly applicable approach for a facile one-pot synthesis of oligosaccharides. The influence on reactivity of the structural effects of different monosaccharide cores and different protecting groups on each glycoside donor is characterized and quantified. In addition, a correlation between glycosyl donor reactivity and the chemical shift of the anomeric proton by 1H NMR has been established. A database of thioglycosides as glycosyl donors has been created using this reactivity data. The utility is demonstrated by the easy and rapid one-pot assembly of various linear and branched oligosaccharide structures. In addition, a computer program has been described for use as a database search tool and guide for the selection of building blocks for the one-pot assembly of a desired oligosaccharide or a library of individual oligosaccharides.

    摘要翻译: 已经完全保护或具有一个羟基暴露的许多对甲基苯基硫代糖苷(STOL)供体的反应性已通过HPLC定量测定,结合广泛适用的寡糖一锅合成方法的发展 。 对每种糖苷供体的不同单糖核心和不同保护基团的结构效应的反应性的影响进行了表征和量化。 此外,已经确定了通过1 H NMR的糖基供体反应性和异头质子的化学位移之间的相关性。 使用该反应性数据创建了作为糖基供体的硫代糖苷的数据库。 通过各种线性和支链寡糖结构的简单快速的一锅装配来证明实用性。 此外,已经描述了一种用作数据库搜索工具的计算机程序和用于选择所需寡糖或单个寡糖文库的一锅组合物的构建块的指南。

    Computations of power functions using polynomial approximations
    3.
    发明授权
    Computations of power functions using polynomial approximations 失效
    使用多项式近似计算功率函数

    公开(公告)号:US08046397B2

    公开(公告)日:2011-10-25

    申请号:US12683632

    申请日:2010-01-07

    IPC分类号: G06F1/02

    摘要: A power function is approximated over an applicable data interval with polynomials determined by means of a Chebyshev minimax approximation technique. In some cases, multiple polynomials may be used to approximate the function over respective ranges of the desirable interval, in a piecewise manner. The appropriate polynomial that approximates the power function over the range of interest is derived and stored. When the power function is to be applied to a particular data value, the data value is first evaluated to determine where it lies within the applicable interval. The constants for the polynomial associated with that range of the interval are then retrieved and used to calculate the power of that data value.

    摘要翻译: 利用通过切比雪夫极小值逼近技术确定的多项式,在一个适用的数据间隔近似功率函数。 在一些情况下,可以使用多个多项式以分段方式近似所需间隔的各个范围上的函数。 导出和存储在感兴趣范围内逼近功率函数的适当多项式。 当将功率功能应用于特定数据值时,首先评估数据值以确定它在适用间隔内的位置。 然后检索与该间隔的该范围相关联的多项式的常数并用于计算该数据值的功率。

    COMPUTATIONS OF POWER FUNCTIONS USING POLYNOMIAL APPROXIMATIONS
    4.
    发明申请
    COMPUTATIONS OF POWER FUNCTIONS USING POLYNOMIAL APPROXIMATIONS 有权
    使用多项近似的功率函数的计算

    公开(公告)号:US20120001933A1

    公开(公告)日:2012-01-05

    申请号:US13233441

    申请日:2011-09-15

    IPC分类号: G09G5/02

    摘要: A power function is approximated over an applicable data interval with polynomials determined by means of a Chebyshev minimax approximation technique. In some cases, multiple polynomials may be used to approximate the function over respective ranges of the desirable interval, in a piecewise manner. The appropriate polynomial that approximates the power function over the range of interest is derived and stored. When the power function is to be applied to a particular data value, the data value is first evaluated to determine where it lies within the applicable interval. The constants for the polynomial associated with that range of the interval are then retrieved and used to calculate the power of that data value.

    摘要翻译: 利用通过切比雪夫极小值逼近技术确定的多项式,在一个适用的数据间隔近似功率函数。 在一些情况下,可以使用多个多项式以分段方式近似所需间隔的各个范围上的函数。 导出和存储在感兴趣范围内逼近功率函数的适当多项式。 当将功率功能应用于特定数据值时,首先评估数据值以确定它在适用间隔内的位置。 然后检索与该间隔的该范围相关联的多项式的常数并用于计算该数据值的功率。

    COMPUTATIONS OF POWER FUNCTIONS USING POLYNOMIAL APPROXIMATIONS
    5.
    发明申请
    COMPUTATIONS OF POWER FUNCTIONS USING POLYNOMIAL APPROXIMATIONS 失效
    使用多项近似的功率函数的计算

    公开(公告)号:US20100111415A1

    公开(公告)日:2010-05-06

    申请号:US12683632

    申请日:2010-01-07

    IPC分类号: G06K9/00 G06F17/17 G06F7/552

    摘要: A power function is approximated over an applicable data interval with polynomials determined by means of a Chebyshev minimax approximation technique. In some cases, multiple polynomials may be used to approximate the function over respective ranges of the desirable interval, in a piecewise manner. The appropriate polynomial that approximates the power function over the range of interest is derived and stored. When the power function is to be applied to a particular data value, the data value is first evaluated to determine where it lies within the applicable interval. The constants for the polynomial associated with that range of the interval are then retrieved and used to calculate the power of that data value.

    摘要翻译: 利用通过切比雪夫极小值逼近技术确定的多项式,在一个适用的数据间隔近似功率函数。 在一些情况下,可以使用多个多项式以分段方式近似所需间隔的各个范围上的函数。 导出和存储在感兴趣范围内逼近功率函数的适当多项式。 当将功率功能应用于特定数据值时,首先评估数据值以确定它在适用间隔内的位置。 然后检索与该间隔的该范围相关联的多项式的常数并用于计算该数据值的功率。

    Computations of power functions using polynomial approximations
    7.
    发明授权
    Computations of power functions using polynomial approximations 有权
    使用多项式近似计算功率函数

    公开(公告)号:US08832168B2

    公开(公告)日:2014-09-09

    申请号:US13233441

    申请日:2011-09-15

    IPC分类号: G06F1/02 G06F7/552

    摘要: A power function is approximated over an applicable data interval with polynomials determined by means of a Chebyshev minimax approximation technique. In some cases, multiple polynomials may be used to approximate the function over respective ranges of the desirable interval, in a piecewise manner. The appropriate polynomial that approximates the power function over the range of interest is derived and stored. When the power function is to be applied to a particular data value, the data value is first evaluated to determine where it lies within the applicable interval. The constants for the polynomial associated with that range of the interval are then retrieved and used to calculate the power of that data value.

    摘要翻译: 利用通过切比雪夫极小值逼近技术确定的多项式,在一个适用的数据间隔近似功率函数。 在一些情况下,可以使用多个多项式以分段方式近似所需间隔的各个范围上的函数。 导出和存储在感兴趣范围内逼近功率函数的适当多项式。 当将功率功能应用于特定数据值时,首先评估数据值以确定它在适用间隔内的位置。 然后检索与该间隔的该范围相关联的多项式的常数并用于计算该数据值的功率。

    Computation of power functions using polynomial approximations
    8.
    发明授权
    Computation of power functions using polynomial approximations 失效
    使用多项式近似计算功率函数

    公开(公告)号:US07668894B2

    公开(公告)日:2010-02-23

    申请号:US10645555

    申请日:2003-08-22

    IPC分类号: G06F1/02

    摘要: A power function is approximated over an applicable data interval with polynomials determined by means of a Chebyshev minimax approximation technique. In some cases, multiple polynomials may be used to approximate the function over respective ranges of the desirable interval, in a piecewise manner. The appropriate polynomial that approximates the power function over the range of interest is derived and stored. When the power function is to be applied to a particular data value, the data value is first evaluated to determine where it lies within the applicable interval. The constants for the polynomial associated with that range of the interval are then retrieved and used to calculate the power of that data value.

    摘要翻译: 利用通过切比雪夫极小值逼近技术确定的多项式,在一个适用的数据间隔近似功率函数。 在一些情况下,可以使用多个多项式以分段方式近似所需间隔的各个范围上的函数。 导出和存储在感兴趣范围内逼近功率函数的适当多项式。 当将功率功能应用于特定数据值时,首先评估数据值以确定它在适用间隔内的位置。 然后检索与该间隔的该范围相关联的多项式的常数并用于计算该数据值的功率。

    Computation of power functions using polynomial approximations
    9.
    发明申请
    Computation of power functions using polynomial approximations 失效
    使用多项式近似计算功率函数

    公开(公告)号:US20050044123A1

    公开(公告)日:2005-02-24

    申请号:US10645555

    申请日:2003-08-22

    IPC分类号: G06F7/552 G06F1/02

    摘要: A power function is approximated over an applicable data interval with polynomials determined by means of a Chebyshev minimax approximation technique. In some cases, multiple polynomials may be used to approximate the function over respective ranges of the desirable interval, in a piecewise manner. The appropriate polynomial that approximates the power function over the range of interest is derived and stored. When the power function is to be applied to a particular data value, the data value is first evaluated to determine where it lies within the applicable interval. The constants for the polynomial associated with that range of the interval are then retrieved and used to calculate the power of that data value.

    摘要翻译: 利用通过切比雪夫极小值逼近技术确定的多项式,在一个适用的数据间隔近似功率函数。 在一些情况下,可以使用多个多项式以分段方式近似所需间隔的各个范围上的函数。 导出和存储在感兴趣范围内逼近功率函数的适当多项式。 当将功率功能应用于特定数据值时,首先评估数据值以确定它在适用间隔内的位置。 然后检索与该间隔的该范围相关联的多项式的常数并用于计算该数据值的功率。