Abstract: A system for updating a hypercube includes an interface and a processor. The interface is configured to receive an indication to update a cell of the hypercube. The processor is configured to determine a primary dimension value associated with the cell; determine a group of dependencies based at least in part on the primary dimension value, wherein a dependency of the group of dependencies comprises one or more primary dimension values and a pattern; for the dependency of the group of dependencies, determine a set of source locations based at least in part on the one or more primary dimension values and the pattern; and mark the set of source locations as invalid.

Abstract: A system for updating a hypercube includes an interface and a processor. The interface is configured to receive an indication to update a cell of the hypercube. The processor is configured to determine a primary dimension value associated with the cell; determine a group of dependencies based at least in part on the primary dimension value, wherein a dependency of the group of dependencies comprises one or more primary dimension values and a pattern; for the dependency of the group of dependencies, determine a set of source locations based at least in part on the one or more primary dimension values and the pattern; and mark the set of source locations as invalid.

Abstract: A system for updating a hypercube includes an interface and a processor. The interface is configured to receive an indication to update a cell of the hypercube. The processor is configured to determine a primary dimension value associated with the cell; determine a group of dependencies based at least in part on the primary dimension value, wherein a dependency of the group of dependencies comprises one or more primary dimension values and a pattern; for the dependency of the group of dependencies, determine a set of source locations based at least in part on the one or more primary dimension values and the pattern; and mark the set of source locations as invalid.

Abstract: A system for updating a hypercube includes an interface and a processor. The interface is configured to receive an indication to update a cell of the hypercube. The processor is configured to determine a primary dimension value associated with the cell; determine a group of dependencies based at least in part on the primary dimension value, wherein a dependency of the group of dependencies comprises one or more primary dimension values and a pattern; for the dependency of the group of dependencies, determine a set of source locations based at least in part on the one or more primary dimension values and the pattern; and mark the set of source locations as invalid.

Abstract: A system for caching includes an interface to receive a portion of a hypercube to evaluate. The hypercube includes cells with a set of the cells having a formula. The system includes a processor to determine term(s) in the formula for each cell of the set of cells; remove from consideration a time dimension and/or a primary dimension for the term(s) in the formula for each cell of the set of cells; determine a set of distinct terms using the term(s); determine whether a total number of terms in the set of cells is larger than a number of distinct terms in the set of distinct terms; and in response to determining that the total number of terms in the set of cells is larger than the number of distinct terms in the set of distinct terms, indicate to cache the set of distinct terms during evaluation.

Abstract: An organophotoreceptor that includes: (a) a charge transport material having the formula wherein A is selected from heterocyclic groups, naphthyl group, alkylsulfonylphenyl, stilbenyl or the group X, wherein X is represented by the formula B is selected from hydrogen, alkyl group, and an aryl group, with the proviso that when A is naphthyl, B is naphthyl; or where R1 is selected from the group consisting of N-pyrrolyl, N-pyrazolyl, N-tetrazolyl, N-indolyl, N-carbazolyl, N-triazolyl, N-imidazolyl, N-benzimidazolyl, N-indazolyl, and N-benzotriazolyl group, and R3 is a 9-fluorenone group. (b) a charge generating compound; and (c) an electrically conductive substrate.

Abstract: A novel charge transport compound, a novel process using that novel compound and an organophotoreceptor includes: (a) a novel charge transport compound having the formula where R1 and R2 are selected so that R1 and R2 form, with the included nitrogen atom, a group selected from the group consisting of heterocyclic rings, aromatic rings, and dinaphthylamine; or R1 comprises an aryl group and R2 comprises a group selected from the group consisting of sulfolanyl, pyrrolyl, pyrazolyl, benzotriazolyl, stilbenyl, tetrazolyl, and group A, wherein group A is represented by the structure or R1 comprises hydrogen, alkyl group, aryl group and R2 comprises sulfonylphenyl. R3 is hydrogen, alkyl group, aryl group, a heterocyclic group or a hydrocarbon group; and Q is a 3-carbazole group; (b) a charge generating compound; and (c) an electrically conductive substrate.

Abstract: This invention relates to a novel organophotoreceptor that includes: (a) a charge transport material comprising a fluorenone hydrazone having a) least two fluorenone alkylsulfonylphenylhydrazone groups, b) at least two fluorenone pyrrolylhydrazone groups, c) at least two fluorenone benzotriazolylhydrazone groups, d) at least two fluorenone sulfolanylhydrazone groups, e) at least two fluorenone pyrazolylhydrazone groups, f) at least two fluorenone naphthylhydrazone groups, g) at least two fluorenone tetrazolylhydrazone groups, h) at least two fluorenone stilbenylhydrazone groups, or i) at least two fluorenone (9H-fluoren-9-ylidene)benzylhydrazone groups. Some of these fluoreneones may be represented by the formula where n is an integer between 2 and 6, inclusive; R1 is hydrogen, alkyl, or aryl; R2 is alkylsulfonylphenyl or one of its derivatives; X is a linking group having the formula —(CH2)m—, branched or linear.

Abstract: This invention relates to a novel organophotoreceptor that includes: (a) a charge transport material comprising a fluorenone hydrazone having a) at least two fluorenone alkylsulfonylphenylhydrazone groups, b) at least two fluorenone pyrrolylhydrazone groups, c) at least two fluorenone benzotriazolylhydrazone groups, d) at least two fluorenone sulfolanylhydrazone groups, e) at least two fluorenone pyrazolylhydrazone groups, f) at least two fluorenone naphthylhydrazone groups, g) at least two fluorenone tetrazolylhydrazone groups, h) at least two fluorenone stilbenylhydrazone groups, or i) at least two fluorenone (9H-fluoren-9-ylidene)benzylhydrazone groups. Some of these fluoreneones may be represented by the formula where n is an integer between 2 and 6, inclusive; R1 is hydrogen, an alkyl group, or an aryl group; R2 is an alkylsulfonylphenyl or one of its derivatives; X is a linking group.

Abstract: This invention relates to a novel organophotoreceptor that includes: (a) a charge transport material comprising a fluorenone hydrazone having a) least two fluorenone alkylsulfonylphenylhydrazone groups, b) at least two fluorenone pyrrolylhydrazone groups, c) at least two fluorenone benzotriazolylhydrazone groups, d) at least two fluorenone sulfolanylhydrazone groups, e) at least two fluorenone pyrazolylhydrazone groups, f) at least two fluorenone naphthylhydrazone groups, g) at least two fluorenone tetrazolylhydrazone groups, h) at least two fluorenone stilbenylhydrazone groups, or i) at least two fluorenone(9H-fluoren-9-ylidene)benzylhydrazone groups. Some of these fluoreneones may be represented by the formula where n is an integer between 2 and 6, inclusive; R1 is hydrogen, alkyl, or aryl; R2 is alkylsulfonylphenyl or one of its derivatives; X is a linking group having the formula —(CH2)m—, branched or linear.

Abstract: A novel charge transport compound, a novel process using that novel compound and an organophotoreceptor includes: (a) a novel charge transport compound having the formula ?where R1 and R2 are selected so that R1 and R2 form, with the included nitrogen atom, a group selected from the group consisting of heterocyclic rings, aromatic rings, and dinaphthylamine; or R1 comprises an aryl group and R2 comprises a group selected from the group consisting of sulfolanyl, 4-(9H-fluoren-9-ylidene)benzyl, pyrrolyl, pyrazolyl, benzotriazolyl, stilbenyl, tetrazolyl; or R1 comprises hydrogen, an alkyl group, an aryl group and R2 comprises sulfonylphenyl. ?R3 is hydrogen, an alkyl group, an aryl group, a heterocyclic group or a hydrocarbon group; and ?Q is a 3-carbazole group; (b) a charge generating compound; and (c) an electrically conductive substrate.

Abstract: An organophotoreceptor that includes: (a) a charge transport material having the formula wherein A is selected from heterocyclic groups, naphthyl group, (9H-fluoren-9-ylidene)benzyl group, alkylsulfonylphenyl, or stilbenyl, B is selected from hydrogen, alkyl group, and an aryl group, with the proviso that when A is naphthyl, B is naphthyl; or where R1 is selected from the group consisting of N-pyrrolyl, N-pyrazolyl, N-tetrazolyl, N-indolyl, N-carbazolyl, N-triazolyl, N-imidazolyl, N-benzimidazolyl, N-indazolyl, and N-benzotriazolyl group, and R3 is a 9-fluorenone group.

Abstract: An organophotoreceptor that includes: (a) a charge transport compound having the formula  where R1 and R2 are, independently, a fluorenyl group; R3 and R4 are, independently, hydrogen, an alkyl group, an aryl group, or a heterocyclic group; and X is a sulfonyldiphenylene group; (b) a charge generating compound; and (c) an electrically conductive substrate.

Abstract: This invention relates to a novel organophotoreceptor that includes:

Abstract: An organophotoreceptor that includes:

Abstract: A novel charge transport compound, a novel process using that novel compound and an organophotoreceptor includes:

Abstract: An organophotoreceptor that includes: