Method and system for rapid evaluation of logical expressions
    4.
    发明授权
    Method and system for rapid evaluation of logical expressions 失效
    逻辑表达式快速评估的方法和系统

    公开(公告)号:US07636697B1

    公开(公告)日:2009-12-22

    申请号:US11699201

    申请日:2007-01-29

    IPC分类号: G06F15/18

    CPC分类号: G06N99/005

    摘要: Methods and systems capable of determining which subset of a set of logical expressions are true with relatively few evaluations of the primitives that, together with any standard logical connectives, make up the logical expressions. A plurality of directed acyclic graphs, each graph including at least one root node, at least one leaf node, and at least one non-leaf node associated with a leaf node. Each node is associated with a, possibly empty, subset of presumed to be true logical expressions. Each non-leaf node is associated with one of the primitives mentioned in any of the logical expressions. Edges are defined between two of the nodes, each edge being associated with a possible value, or range of possible values, of the primitive associated with the node at the tail of the edge. Paths are defined through each of the directed acyclic graphs from a root node to a leaf node by recursively following each edge corresponding to the current value of the primitive at a selected non-leaf node. Lastly, subsets of logical expressions associated with the nodes on the defined paths are collated to yield a subset of logical expressions that are true.

    摘要翻译: 能够通过相对较少的原语评估来确定一组逻辑表达式的哪个子集的方法和系统以及任何标准逻辑连接符构成逻辑表达式。 多个有向无环图,每个图包括至少一个根节点,至少一个叶节点和与叶节点相关联的至少一个非叶节点。 每个节点与假设为真逻辑表达式的可能为空的子集相关联。 每个非叶节点与任何逻辑表达式中提到的原语之一相关联。 在两个节点之间定义边缘,每个边缘与与边缘尾部的节点相关联的基元的可能值或可能值的范围相关联。 通过在选定的非叶节点处递归地跟随对应于原语的当前值的每个边缘,通过从根节点到叶节点的每个有向无环图来定义路径。 最后,与定义的路径上的节点相关联的逻辑表达式的子集进行整理,以产生真实的逻辑表达式的子集。

    Titanium dioxide nanopowder manufacturing process
    6.
    发明申请
    Titanium dioxide nanopowder manufacturing process 审中-公开
    二氧化钛纳米粉末制造工艺

    公开(公告)号:US20070154384A1

    公开(公告)日:2007-07-05

    申请号:US11711317

    申请日:2007-02-26

    IPC分类号: C01G23/047

    摘要: Titanium dioxide nanopowder is produced by a process, comprising: (a) reacting titanium tetrachloride and an oxygen containing gas in the vapor phase in a flame reactor, at a flame temperature of at least about 800° C., a pressure ranging from about −35 to about 172 kPa (about −5 to about 25 psig) in the presence of (i) water vapor in an amount ranging from about 1000 to about 50,000 parts per million, based on the weight of titanium dioxide under production, (ii) a diluent gas in an amount greater than about 100 mole percent based on the titanium tetrachloride and oxygen containing gas and (iii) a nucleant consisting essentially of a cesium substance wherein the cesium substance is present in an amount ranging from about 10 to about 5000 parts per million, based on the weight of the titanium dioxide under production, to form titanium dioxide nanopowder, and recovering the titanium dioxide nanopowder having a surface area in the range of about 30 to about 300 m2/g and wherein about 50 volume percent of the particles have a diameter of about 80 nm or less and wherein about 90 volume percent of the particles have a diameter of about 100 nm or less.

    摘要翻译: 二氧化钛纳米粉末通过一种方法生产,该方法包括:(a)在火焰反应器中,在至少约800℃的火焰温度下,在气相中使四氯化钛与含氧气体反应, (i)水蒸汽的量为约1000至约50,000ppm,基于制备的二氧化钛的重量,在(i)水蒸汽存在下,在约25至约172kPa(约-5至约25psig) 基于四氯化钛和含氧气体的量大于约100摩尔%的稀释气体和(iii)基本上由铯物质组成的成核剂,其中铯物质的存在量为约10至约5000份 基于生产的二氧化钛的重量,形成二氧化钛纳米粉末,并回收表面积在约30〜约300m 2 / g范围内的二氧化钛纳米粉末 在哪里 约50体积%的颗粒具有约80nm或更小的直径,并且其中约90体积%的颗粒具有约100nm或更小的直径。

    Process for producing titanium dioxide
    8.
    发明申请
    Process for producing titanium dioxide 有权
    二氧化钛生产工艺

    公开(公告)号:US20070172414A1

    公开(公告)日:2007-07-26

    申请号:US11260058

    申请日:2005-10-27

    IPC分类号: C01G23/047

    摘要: This disclosure relates to a process for producing titanium dioxide, comprising: a) providing a quantity of liquid titanium tetrahalide for reacting with an oxygen-containing gas; b) vaporizing a first portion of the liquid titanium tetrahalide and reacting the titanium tetrahalide vapor and the oxygen-containing gas, in a first stage of a reaction zone, the reaction zone temperature ranging from at least about 650° C.—to form a reaction product at least containing titanium dioxide and oxygen-containing gas and passing the reaction product, more typically in the vapor phase, to at least one additional stage of the reaction zone; and c) charging at least one additional portion of the liquid titanium tetrahalide to the at least one additional stage of the reaction zone to cool the titanium dioxide and to react with the oxygen-containing gas to form additional titanium dioxide. This process results in a high conversion to titanium dioxide and formation of titanium dioxide powders having improved particle size and size distribution.

    摘要翻译: 本公开涉及一种生产二氧化钛的方法,包括:a)提供一定数量的四卤化钛用于与含氧气体反应; b)蒸发液态四卤化钛的第一部分并使四卤化钛蒸气和含氧气体在反应区的第一阶段中反应,反应区温度为至少约650℃,以形成 反应产物至少含有二氧化钛和含氧气体,并将反应产物(通常在气相中)通到反应区的至少一个附加阶段; 和c)将至少另外一部分液体四卤化钛装入至该反应区的至少一个附加阶段以冷却二氧化钛并与含氧气体反应以形成另外的二氧化钛。 该方法导致二氧化钛的高转化率和具有改进的粒度和尺寸分布的二氧化钛粉末的形成。

    TITANIUM DIOXIDE NANOPOWDER MANUFACTURING PROCESS
    9.
    发明申请
    TITANIUM DIOXIDE NANOPOWDER MANUFACTURING PROCESS 失效
    二氧化钛纳米粒子制造工艺

    公开(公告)号:US20060251573A1

    公开(公告)日:2006-11-09

    申请号:US10804277

    申请日:2004-03-19

    IPC分类号: C01G23/047

    摘要: Titanium dioxide nanopowder is produced by a process, comprising: (a) reacting titanium tetrachloride and an oxygen containing gas in the vapor phase in a flame reactor, at a flame temperature of at least about 800° C., a pressure ranging from about −35 to about 172 kPa (about −5 to about 25 psig) in the presence of (i) water vapor in an amount ranging from about 1000 to about 50,000 parts per million, based on the weight of titanium dioxide under production, (ii) a diluent gas in an amount greater than about 100 mole percent based on the titanium tetrachloride and oxygen containing gas and (iii) a nucleant consisting essentially of a cesium substance wherein the cesium substance is present in an amount ranging from about 10 to about 5000 parts per million, based on the weight of the titanium dioxide under production, to form titanium dioxide nanopowder, and recovering the titanium dioxide nanopowder having a surface area in the range of about 30 to about 300 m2/g and wherein about 50 volume percent of the particles have a diameter of about 80 nm or less and wherein about 90 volume percent of the particles have a diameter of about 100 nm or less.

    摘要翻译: 二氧化钛纳米粉末通过一种方法生产,该方法包括:(a)在火焰反应器中,在至少约800℃的火焰温度下,在气相中使四氯化钛与含氧气体反应, (i)水蒸汽的量为约1000至约50,000ppm,基于制备的二氧化钛的重量,在(i)水蒸气的存在下,在35至约172kPa(约-5至约25psig) 基于四氯化钛和含氧气体的量大于约100摩尔%的稀释气体和(iii)基本上由铯物质组成的成核剂,其中铯物质的存在量为约10至约5000份 基于生产的二氧化钛的重量,形成二氧化钛纳米粉末,并回收表面积在约30〜约300m 2 / g范围内的二氧化钛纳米粉末 在哪里 约50体积%的颗粒具有约80nm或更小的直径,并且其中约90体积%的颗粒具有约100nm或更小的直径。