Abstract: A bit vector having a bit vector length is accessed. A select operator directory tree can be generated using the bit vector. The select operator directory tree includes a first level of superblocks including large superblocks and small superblocks, a second level of blocks including large blocks and small blocks, each block associated with one of the superblocks, and a third level of sub-blocks, each sub-block associated with a block. The large superblocks each have, a length greater than a first constant that is independent of the bit vector length and the large blocks each have a length greater than a second constant that is independent of the bit vector length. The select operator directory tree can be stored. Related apparatus, systems, techniques and articles are also described.

Abstract: A plus-minus-one array in which adjacent entries vary by no more than positive one and no less than negative one is accessed. A range minimum query directory tree including blocks and subblocks of the plus-minus-one array is determined. Blocks are contained in the plus-minus-one array and subblocks are contained in the blocks. A data structure characterizing positions of minimum elements within the range minimum query directory tree is generated. The characterization includes positions of minimums within each subblock, between subblocks in a respective block, within each block, and between blocks. The data structure is stored. Related apparatus, systems, techniques and articles are also described.

Abstract: A plus-minus-one array in which adjacent entries vary by no more than positive one and no less than negative one is accessed. A range minimum query directory tree including blocks and subblocks of the plus-minus-one array is determined. Blocks are contained in the plus-minus-one array and subblocks are contained in the blocks. A data structure characterizing positions of minimum elements within the range minimum query-directory tree is generated. The characterization includes positions of minimums within each subblock, between subblocks in a respective block, within each block, and between blocks. The data structure is stored. Related apparatus, systems, techniques and articles are also described.

Abstract: A bit vector having a bit vector length is accessed. A select operator directory tree can be generated using the bit vector. The select operator directory tree includes a first level of superblocks including large superblocks and small superblocks, a second level of blocks including large blocks and small blocks, each block associated with one of the superblocks, and a third level of sub-blocks, each sub-block associated with a block. The large superblocks each have, a length greater than a first constant that is independent of the bit vector length and the large blocks each have a length greater than a second constant that is independent of the bit vector length. The select operator directory tree can be stored. Related apparatus, systems, techniques and articles are also described.

Abstract: The present invention related to a silicon based coating suitable for being applied onto metallic surfaces of a household appliance. The coating of the present invention protects the metallic surfaces of the household appliance against the yellowing or changes in color, through temperatures, among other factors, and eases the cleaning of the same.

Abstract: The present invention related to a silicon based coating suitable for being applied onto metallic surfaces of a household appliance. The coating of the present invention protects the metallic surfaces of the household appliance against the yellowing or changes in color, through temperatures, among other factors, and eases the cleaning of the same.

Abstract: A thermal fluid having a fluid that includes a compound selected from the group consisting of compounds having the following general formulas: and combinations thereof is provided. The fluid is arranged and disposed to expand or contract in response to temperature. A temperature sensing element and a method for sensing a temperature are also disclosed.

Abstract: A thermal fluid having a fluid that includes a compound selected from the group consisting of compounds having the following general formulas: and combinations thereof is provided. The fluid is arranged and disposed to expand or contract in response to temperature. A temperature sensing element and a method for sensing a temperature are also disclosed.

Abstract: A card label having a system for discouraging its non-authorized removal and reuse, which initiate an incontrollable combustion process that completely damage the card label and its information and included circuitry when it is attempted to remove the card label from a surface.

Abstract: A card label having a system for discouraging its non-authorized removal and reuse, which initiate an incontrollable combustion process that completely damage the card label and its information and included circuitry when it is attempted to remove the card label from a surface.