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    • 1. 发明申请
    • Algebraic Device and Methods of Use Thereof
    • 代数设备及其使用方法
    • US20110131261A1
    • 2011-06-02
    • US12912560
    • 2010-10-26
    • Dov JacobsonJesse JacobsonTatiana Krivosheev
    • Dov JacobsonJesse JacobsonTatiana Krivosheev
    • G06F7/00
    • G06F15/0225
    • This invention provides a novel affordance to algebra. It combines the immediacy of a manipulative with the power of a computer algebra system. Operations are executed in-place on a mutable expression, by direct manipulation of its terms by the user.Terms, whether simple or complex, can be selected by the user and dragged from one location in the expression to another. The equivalence of the expression is maintained by changes to the moving term and other terms in the expression. A highly interactive interface illuminates to the user the range of potential actions.The beneficiaries of this technology are students, who have a new avenue for exploratory learning and technologists, who have a new tool for symbolic reasoning.
    • 本发明提供了代数的新颖性。 它将操纵的即时性与计算机代数系统的功能相结合。 通过直接操纵用户的术语,可以在可变表达式上就地执行操作。 用户可以选择简单或复杂的术语,并将其从表达式中的一个位置拖动到另一个位置。 表达式的等价性通过对表达式中的移动项和其他项的改变来维持。 高度交互的界面向用户照亮了潜在行为的范围。 这项技术的受益者是学生,他们有一个探索性学习和技术专家的新途径,他们有一个新的象征性推理工具。
    • 2. 发明授权
    • Algebraic device and methods of use thereof
    • 代数装置及其使用方法
    • US09092317B2
    • 2015-07-28
    • US12912560
    • 2010-10-26
    • Dov JacobsonJesse JacobsonTatiana Krivosheev
    • Dov JacobsonJesse JacobsonTatiana Krivosheev
    • G06F15/02
    • G06F15/0225
    • This invention provides a novel affordance to algebra. It combines the immediacy of a manipulative with the power of a computer algebra system. Operations are executed in-place on a mutable expression, by direct manipulation of its terms by the user.Terms, whether simple or complex, can be selected by the user and dragged from one location in the expression to another. The equivalence of the expression is maintained by changes to the moving term and other terms in the expression. A highly interactive interface illuminates to the user the range of potential actions.The beneficiaries of this technology are students, who have a new avenue for exploratory learning and technologists, who have a new tool for symbolic reasoning.
    • 本发明提供了代数的新颖性。 它将操纵的即时性与计算机代数系统的功能相结合。 通过直接操纵用户的术语,可以在可变表达式上就地执行操作。 用户可以选择简单或复杂的术语,并将其从表达式中的一个位置拖动到另一个位置。 表达式的等价性通过对表达式中的移动项和其他项的改变来维持。 高度交互的界面向用户照亮了潜在行为的范围。 这项技术的受益者是学生,他们有一个探索性学习和技术专家的新途径,他们有一个新的象征性推理工具。