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    • 1. 发明授权
    • Method and apparatus for compression of integer multiplication table
    • 用于整数乘法表压缩的方法和装置
    • US5737257A
    • 1998-04-07
    • US527792
    • 1995-09-13
    • Jason ChenPaul ChenGeorge Chang
    • Jason ChenPaul ChenGeorge Chang
    • G06F1/035G06F7/52
    • G06F7/53G06F1/0356
    • A method of compressing an integer multiplication table including the steps of first eliminating one of the two symmetrical and identical sections in the table, eliminating the products of 0 multiplier and 0 multiplicand, moving the product of the multiplier having an index of n into the location of index (n-1) for the multiplier, using one-half of the number of the largest multiplier as the largest multiplier index for the compressed multiplication table, moving into the non-continuous memory space of the compressed multiplication table by a page-filling method the product of the largest multiplier index value that is larger than the compressed multiplication table such that the multiplication table after compression can be stored on the same page.
    • 一种压缩整数乘法表的方法,包括以下步骤:首先消除表中两个对称和相同部分之一,消除0乘法器和0乘法器的乘积,将具有索引为n的乘法器的乘积移动到位置 (n-1),使用最大乘数的数目的一半作为压缩乘法表的最大乘数索引,通过页面转换到压缩乘法表的非连续存储器空间中, 填充方法是大于压缩乘数表的最大乘数指数值的乘积,使得压缩后的乘法表可以存储在同一页上。
    • 2. 发明授权
    • Method and apparatus for generating degree of membership in fuzzy
inference
    • 产生模糊推理隶属度的方法和装置
    • US5694351A
    • 1997-12-02
    • US611793
    • 1996-03-06
    • George ChangPaul ChenJason Chen
    • George ChangPaul ChenJason Chen
    • G06N7/04G06G7/00G06F15/18
    • G06N7/04Y10S706/90
    • A method and apparatus for determining the degree of membership in a fuzzy inference by using a subtractor and a divider without the need for a complicated multiplication, division circuit or software that is normally required in a conventional method. A fuzzy inference database for the degree of membership is first established in a microprocessor by a fuzzy inference method, the membership function in the fuzzy database has a range between 0 to 1 at full scale for the degree of membership function. When the microprocessor detects an input data, a slope distance ratio and the corresponding coordinates are determined and compared using the input data and the fuzzy database established in the microprocessor. The ratio determined by the greatly simplified method is the degree of membership function.
    • 一种用于通过使用减法器和分频器来确定模糊推理的隶属程度的方法和装置,而不需要常规方法中通常需要的复杂的乘法,除法电路或软件。 首先在微处理器中通过模糊推理方法建立了隶属程度的模糊推理数据库,模糊数据库中的隶属函数在隶属度函数的范围内范围为0到1。 当微处理器检测到输入数据时,使用输入数据和微处理器中建立的模糊数据确定和比较相应的坐标。 通过大大简化的方法确定的比例是隶属函数的程度。
    • 3. 发明授权
    • Method and apparatus for high speed division
    • 高速分割的方法和装置
    • US5757688A
    • 1998-05-26
    • US527793
    • 1995-09-13
    • Jason ChenPaul ChenGeorge Chang
    • Jason ChenPaul ChenGeorge Chang
    • G06F7/52G06F7/535
    • G06F7/535
    • A high speed division method and apparatus that does not require the use of dividers are provided. The method and apparatus utilize a binary shift-add technique to simplify a divisional computation process and to enable computational error to be contained in a predetermined range, and to obtain a higher computing speed. The apparatus includes a divisor left-shift apparatus for inputting a divisor and to left-shift the divisor, a dividend left-shift apparatus for inputting a dividend and to left-shift the dividend, a left-shift controller for controlling the left-shift motion of the divisor, a quotient right-shift apparatus for inputting the indexes from a division table and then right-shift the quotient. The apparatus utilizes left-shift or right-shift to achieve a multiplication or division by 2.
    • 提供了不需要使用分频器的高速分割方法和装置。 该方法和装置利用二进制移位加法技术简化分割计算过程,并使计算误差能够包含在预定范围内,并获得更高的计算速度。 该装置包括用于输入除数和左移除数的除数左移装置,用于输入被除数和左移除数的除数左移装置,用于控制左移的左移控制器 除数的运动,用于从分割表输入索引然后右移该商的商右移装置。 该装置利用左移或右移来实现乘法或除法2。
    • 4. 发明授权
    • Method and apparatus for integer multiplication
    • 整数乘法的方法和装置
    • US5715187A
    • 1998-02-03
    • US610410
    • 1996-03-04
    • Jason ChenPaul ChenGeorge Chang
    • Jason ChenPaul ChenGeorge Chang
    • G06F1/03G06F7/52
    • G06F1/03
    • A binary multiplication method utilizing a combined table lookup and long multiplication to simplify the multiplication procedure, to improve the computational speed, and to save half of the memory space normally required. The method is executed by first moving the least significant bit (LSB) of the multiplier to another memory device before the start of the computation and then using the shortened multiplier in the multiplication operation since the multiplier is reduced by one bit, the memory space required for the multiplication table is reduced by half. The method does not require the use of a multiplying device and only needs small memory space. The manufacturing cost of a microprocessor can be reduced accordingly.
    • 使用组合表查找和长乘法的二进制乘法方法来简化乘法过程,提高计算速度,并节省通常所需的一半存储空间。 该方法通过首先在计算开始之前将乘法器的最低有效位(LSB)移动到另一个存储器件,然后在乘法运算中使用缩短的乘法器来执行,因为乘法器被减少一位,所需存储器空间 对于乘法表减少了一半。 该方法不需要使用乘法器,只需要较小的存储空间。 可以相应地减少微处理器的制造成本。
    • 7. 发明申请
    • Exercise apparatus adjustable for sidewise moving
    • 运动装置可以侧向移动调节
    • US20130157812A1
    • 2013-06-20
    • US13374164
    • 2011-12-14
    • Paul Chen
    • Paul Chen
    • A63B22/04
    • A63B22/0056A63B21/068A63B2022/003A63B2022/0038A63B2022/0051A63B2022/0053
    • An exercise apparatus includes a base having an upright support, two brackets attached to the upright support and adjustable relative to upright support between a forwardly directed position and a sidewise directed position, and two foot supports pivotally attached to the brackets and to be pivoted and swung forwardly and rearwardly relative to the brackets and the upright support when the brackets are attached to the carrier at the forwardly directed position, and the foot supports are allowed to be pivoted and swung sidewise relative to the brackets and the upright support when the brackets are attached to the upright support at the sidewise directed position.
    • 运动装置包括具有直立支撑件的基座,两个支架,其连接到直立支撑件上,并且相对于在向前指向位置和侧向指向位置之间的直立支撑件可调节;以及两个脚部支撑件,其可枢转地附接到支架并且枢转和摆动 当支架在向前指向的位置处附接到托架时,相对于支架和直立支撑件向前和向后向前和向后,并且当支架被附接时,允许脚支撑件相对于托架和直立支撑件侧向地摆动和摆动 到侧面指向位置处的直立支撑件。