COMPUTING MINIMAL POLYNOMIALS
    1.
    发明申请
    COMPUTING MINIMAL POLYNOMIALS 有权
    计算最小多边形

    公开(公告)号:US20100262643A1

    公开(公告)日:2010-10-14

    申请号:US12422315

    申请日:2009-04-13

    IPC分类号: G06F7/38 G06F7/552

    CPC分类号: G06F7/724 G06F7/12 G06F7/16

    摘要: Described is a technology, such as implemented in a computational software program, by which a minimal polynomial is efficiently determined for a radical expression over the ring Z of integer numbers or the ring Q of rational numbers. The levels of the radical are grouped into a level permutation group that is used to find a level permutation set. An annihilation polynomial is found based upon the level permutation set. The annihilation polynomial is factored, and a selection mechanism selects the minimal polynomial based upon the annihilation polynomial's factors.

    摘要翻译: 描述了一种技术,例如在计算软件程序中实现的技术,通过该技术,对于整数的环Z或有理数的环Q,对于根基表达式有效地确定最小多项式。 激进的级别被分组成用于找到级别置换集合的级别置换组。 湮没多项式是基于层次排列集合找到的。 湮灭多项式被考虑,选择机制根据湮灭多项式的因素选择最小多项式。

    Computing minimal polynomials
    2.
    发明授权
    Computing minimal polynomials 有权
    计算最小多项式

    公开(公告)号:US09122563B2

    公开(公告)日:2015-09-01

    申请号:US12422315

    申请日:2009-04-13

    CPC分类号: G06F7/724 G06F7/12 G06F7/16

    摘要: Described is a technology, such as implemented in a computational software program, by which a minimal polynomial is efficiently determined for a radical expression over the ring Z of integer numbers or the ring Q of rational numbers. The levels of the radical are grouped into a level permutation group that is used to find a level permutation set. An annihilation polynomial is found based upon the level permutation set. The annihilation polynomial is factored, and a selection mechanism selects the minimal polynomial based upon the annihilation polynomial's factors.

    摘要翻译: 描述了一种技术,例如在计算软件程序中实现的技术,通过该技术,对于整数的环Z或有理数的环Q,对于根基表达式有效地确定最小多项式。 激进的级别被分组成用于找到级别置换集合的级别置换组。 湮没多项式是基于层次排列集合找到的。 湮灭多项式被考虑,选择机制根据湮灭多项式的因素选择最小多项式。

    COMPUTING MINIMAL POLYNOMIALS OF RADICAL EXPRESSIONS
    3.
    发明申请
    COMPUTING MINIMAL POLYNOMIALS OF RADICAL EXPRESSIONS 审中-公开
    计算放射性表达的最小多边形

    公开(公告)号:US20100198902A1

    公开(公告)日:2010-08-05

    申请号:US12364533

    申请日:2009-02-03

    IPC分类号: G06F7/552

    CPC分类号: G06F17/10

    摘要: Described is a technology, such as implemented in a computational software program, by which a minimal polynomial is efficiently determined for a radical expression based upon its structure of the radical expression. An annihilation polynomial is found based upon levels of the radical to obtain roots of the radical. A numerical method performs a zero test or multiple zero tests to find the minimal polynomial. In one implementation, the set of roots corresponding to a radical expression is found. The annihilation polynomial is computed by grouping roots of the set according to their conjugation relationship and multiplying factor polynomials level by level. A selection mechanism selects the minimal polynomial based upon the annihilation polynomial's factors.

    摘要翻译: 描述了一种技术,例如在计算软件程序中实现的技术,通过该技术,基于其基本表达式的结构,有效地确定基本表达式的最小多项式。 基于获得根的根的自由基的水平找到湮灭多项式。 数值方法执行零测试或多零测试以找到最小多项式。 在一个实现中,找到与激进表达相对应的一组根。 湮灭多项式通过根据它们的共轭关系和乘法因子多项式级别逐级分组的根来计算。 选择机制根据湮灭多项式的因素选择最小多项式。

    Plant virus transmission inhibitor and methods

    公开(公告)号:US07547677B2

    公开(公告)日:2009-06-16

    申请号:US12001776

    申请日:2007-12-11

    摘要: Provided is a peptide, peptide multimer or fusion protein containing such peptide which binds to the gut of sap-sucking insects, e.g., aphids. When bound, this peptide inhibits the binding of targeted virus to the insect gut. When this peptide or tandem repeat peptide is expressed (or is expressed as part of a fusion protein) in the fluids of transgenic plants, it is taken up by the insect with the sap, binds to gut receptors and thereby inhibits transmission of the virus from plant to plant via the insect vector. Thus, the use of such transgenic plants blocks or reduces the transmission of the targeted virus and others which share the peptide binding site within the insect gut among plants susceptible to the virus and thereby reduces losses due to viral infection.

    Plant virus transmission inhibitor and methods
    5.
    发明申请
    Plant virus transmission inhibitor and methods 失效
    植物病毒传播抑制剂和方法

    公开(公告)号:US20090055975A1

    公开(公告)日:2009-02-26

    申请号:US12001776

    申请日:2007-12-11

    摘要: Provided is a peptide, peptide multimer or fusion protein containing such peptide which binds to the gut of sap-sucking insects, e.g., aphids. When bound, this peptide inhibits the binding of targeted virus to the insect gut. When this peptide or tandem repeat peptide is expressed (or is expressed as part of a fusion protein) in the fluids of transgenic plants, it is taken up by the insect with the sap, binds to gut receptors and thereby inhibits transmission of the virus from plant to plant via the insect vector. Thus, the use of such transgenic plants blocks or reduces the transmission of the targeted virus and others which share the peptide binding site within the insect gut among plants susceptible to the virus and thereby reduces losses due to viral infection.

    摘要翻译: 提供了含有这种肽的肽,肽多聚体或融合蛋白,其结合吸吮昆虫的肠道,例如蚜虫。 当肽结合时,该肽抑制靶向病毒与昆虫肠道的结合。 当这种肽或串联重复肽在转基因植物的液体中表达(或作为融合蛋白的一部分表达)时,它被昆虫与树汁吸收,结合肠道受体,从而抑制病毒从 植物通过昆虫载体植物。 因此,这种转基因植物的使用阻止或减少在易感病毒的植物中在昆虫肠内共享肽结合位点的目标病毒和其他物质的传播,从而减少由于病毒感染引起的损失。

    Aphicidal Toxins and Methods
    6.
    发明申请
    Aphicidal Toxins and Methods 审中-公开
    杀虫毒素和方法

    公开(公告)号:US20130097729A1

    公开(公告)日:2013-04-18

    申请号:US13492779

    申请日:2012-06-08

    IPC分类号: C12N15/82

    摘要: Provided are chimeric aphicidal and insecticidal toxin proteins comprising peptide, peptide multimer or fusion protein containing such peptide which binds to the gut of sap-sucking insects, e.g., aphids, thrips, leafhoppers, or other target interest. When bound, this peptide mediates the binding of the chimeric aphicidal or other insecticidal protein to the target insect gut. Also described are coding sequences, vectors, and transgenic plants genetically modified to contain and express such aphicidal or insecticidal proteins. Thus, the use of such transgenic plants reduces economic loss due to feeding by the target insect and also reduces loss due to plant diseases spread by the target insect.

    摘要翻译: 提供了包含肽,肽多聚体或含有这种肽的融合蛋白的嵌合杀蚜虫和杀虫毒素蛋白,其结合吸吮昆虫的肠道,例如蚜虫,蓟马,叶蝉或其他目标兴趣。 当结合时,该肽介导嵌合杀蚜虫或其它杀虫蛋白与目标昆虫肠道的结合。 还描述了遗传修饰以含有和表达这种杀蚜虫或杀虫蛋白的编码序列,载体和转基因植物。 因此,这种转基因植物的使用减少了由于目标昆虫的饲养造成的经济损失,还减少了由于目标昆虫传播的植物病害引起的损失。