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Method for representing and solving algebraic equations with a physical or virtual gear system

机译:用物理或虚拟齿轮系统表示和求解代数方程的方法

摘要

A method for representing and solving algebraic equations that allows a user to view and solve algebraic equation with a virtual gear system. The virtual gear system includes a virtual primary cog and virtual secondary cogs. The virtual primary cog represents a range of outcomes for the virtual gear system and contains a number of teeth that is quantitatively greater than a numerical constant of the algebraic equation; amongst the teeth is a target tooth that represents the numerical constant. Each virtual secondary cogs represent a term of the algebraic equation and includes a coefficient and a variable. Each of the virtual secondary cogs contains a number of teeth equal to the coefficient. The equation is solved by rotating the virtual secondary cogs until the target tooth is aligned with a fixed pointer where rotation of the virtual secondary cog represents a value input for the variable of a term.
机译:一种用于表示和求解代数方程的方法,该方法允许用户使用虚拟齿轮系统查看和求解代数方程。虚拟齿轮系统包括虚拟主齿轮和虚拟副齿轮。虚拟主齿轮代表虚拟齿轮系统的一系列结果,并包含数量上大于代数方程数值常数的齿。牙齿之间是代表数值常数的目标牙齿。每个虚拟次要嵌齿轮代表代数方程的项,并且包括系数和变量。每个虚拟副齿轮包含的齿数等于系数。通过旋转虚拟副齿轮直到目标牙齿与固定指针对齐来求解该方程,其中虚拟副齿轮的旋转代表项变量的输入值。

著录项

  • 公开/公告号US10073814B2

    专利类型

  • 公开/公告日2018-09-11

    原文格式PDF

  • 申请/专利权人 BRAINQUAKE INC.;

    申请/专利号US201514833037

  • 发明设计人 KEITH JAMES DEVLIN;

    申请日2015-08-21

  • 分类号G06F17/11;G09B23/02;

  • 国家 US

  • 入库时间 2022-08-21 13:06:15

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