Abstract: A thiazolylimidazole derivative represented by the formula or a pharmaceutically acceptable salt thereof, and an ALK5 inhibitor, an therapeutic agent for alopecia or a hair growth agent having the above as an active ingredient, wherein: X1 and X2 are different from each other and represent a sulfur atom or a carbon atom; R1 represents a phenyl group; a substituted phenyl group; a phenyl group condensed with a hetero aromatic ring; a pyridyl group; or a pyridyl group condensed with a hetero aromatic ring; R2 represents a hydrogen atom, a halogen atom, an alkyl group having 1 to 6 carbon atoms, an alkyl group having 1 to 6 carbon atoms substituted with 1 to 5 halogen atoms, an alkoxy group having 1 to 6 carbon atoms, an alkanoyl group having 1 to 5 carbon atoms, or a hydroxyalkyl group having 1 to 6 carbon atoms, A represents a group which is represented by the formula.

Abstract: A thiazolylimidazole derivative represented by the formula or a pharmaceutically acceptable salt thereof, and an ALK5 inhibitor, an therapeutic agent for alopecia or a hair growth agent having the above as an active ingredient, wherein: X1 and X2 are different from each other and represent a sulfur atom or a carbon atom; R1 represents a phenyl group; a substituted phenyl group; a phenyl group condensed with a hetero aromatic ring; a pyridyl group; or a pyridyl group condensed with a hetero aromatic ring; R2 represents a hydrogen atom, a halogen atom, an alkyl group having 1 to 6 carbon atoms, an alkyl group having 1 to 6 carbon atoms substituted with 1 to 5 halogen atoms, an alkoxy group having 1 to 6 carbon atoms, an alkanoyl group having 1 to 5 carbon atoms, or a hydroxyalkyl group having 1 to 6 carbon atoms, A represents a group which is represented by the formula.

Abstract: Supplied with a string of vector data as input data, a probabilistic distribution estimation apparatus estimates, by using a stochastic model having hidden variables, a probabilistic distribution in which each data occurs by successively reading the train of vector data. Specifically, the probabilistic distribution estimation apparatus reads values of parameters of the stochastic model having the hidden variables for a value of the input data, calculates, by using the stochastic model, a certainty in which the input data occurs, renews the parameters in response to new read data with past data forgotten, and produce several parameter's values. By using the parameter's values received from the probabilistic distribution estimation apparatus, an abnormality detection unit calculates an information amount of data as an abnormal behavior degree to produce the abnormal behavior degree.

Abstract: Supplied with a string of vector data as input data, a probabilistic distribution estimation apparatus estimates, by using a stochastic model having hidden variables, a probabilistic distribution in which each data occurs by successively reading the train of vector data. Specifically, the probabilistic distribution estimation apparatus reads values of parameters of the stochastic model having the hidden variables for a value of the input data, calculates, by using the stochastic model, a certainty in which the input data occurs, renews the parameters in response to new read data with past data forgotten, and produce several parameter's values. By using the parameter's values received from the probabilistic distribution estimation apparatus, an abnormality detection unit calculates an information amount of data as an abnormal behavior degree to produce the abnormal behavior degree.

Abstract: Supplied with a string of vector data as input data, a probabilistic distribution estimation apparatus estimates, by using a stochastic model having hidden variables, a probabilistic distribution in which each data occurs by successively reading the train of vector data. Specifically, the probabilistic distribution estimation apparatus reads values of parameters of the stochastic model having the hidden variables for a value of the input data, calculates, by using the stochastic model, a certainty in which the input data occurs, renews the parameters in response to new read data with past data forgotten, and produce several parameter's values. By using the parameter's values received from the probabilistic distribution estimation apparatus, an abnormality detection unit calculates an information amount of data as an abnormal behavior degree to produce the abnormal behavior degree.

Abstract: Supplied with a string of vector data as input data, a probabilistic distribution estimation apparatus estimates, by using a stochastic model having hidden variables, a probabilistic distribution in which each data occurs by successively reading the train of vector data. Specifically, the probabilistic distribution estimation apparatus reads values of parameters of the stochastic model having the hidden variables for a value of the input data, calculates, by using the stochastic model, a certainty in which the input data occurs, renews the parameters in response to new read data with past data forgotten, and produce several parameter's values. By using the parameter's values received from the probabilistic distribution estimation apparatus, an abnormality detection unit calculates an information amount of data as an abnormal behavior degree to produce the abnormal behavior degree.

Abstract: Supplied with a string of vector data as input data, a probabilistic distribution estimation apparatus estimates, by using a stochastic model having hidden variables, a probabilistic distribution in which each data occurs by successively reading the train of vector data. Specifically, the probabilistic distribution estimation apparatus reads values of parameters of the stochastic model having the hidden variables for a value of the input data, calculates, by using the stochastic model, a certainty in which the input data occurs, renews the parameters in response to new read data with past data forgotten, and produce several parameter's values. By using the parameter's values received from the probabilistic distribution estimation apparatus, an abnormality detection unit calculates an information amount of data as an abnormal behavior degree to produce the abnormal behavior degree.

Abstract: Supplied with a string of vector data as input data, a probabilistic distribution estimation apparatus estimates, by using a stochastic model having hidden variables, a probabilistic distribution in which each data occurs by successively reading the train of vector data. Specifically, the probabilistic distribution estimation apparatus reads values of parameters of the stochastic model having the hidden variables for a value of the input data, calculates, by using the stochastic model, a certainty in which the input data occurs, renews the parameters in response to new read data with past data forgotten, and produce several parameter's values. By using the parameter's values received from the probabilistic distribution estimation apparatus, an abnormality detection unit calculates an information amount of data as an abnormal behavior degree to produce the abnormal behavior degree.

Abstract: A thiazolylimidazole derivative represented by the formula or a pharmaceutically acceptable salt thereof, and an ALK5 inhibitor, an therapeutic agent for alopecia or a hair growth agent having the above as an active ingredient, wherein: X1 and X2 are different from each other and represent a sulfur atom or a carbon atom; R1 represents a phenyl group; a substituted phenyl group; a phenyl group condensed with a hetero aromatic ring; a pyridyl group; or a pyridyl group condensed with a hetero aromatic ring; R2 represents a hydrogen atom, a halogen atom, an alkyl group having 1 to 6 carbon atoms, an alkyl group having 1 to 6 carbon atoms substituted with 1 to 5 halogen atoms, an alkoxy group having 1 to 6 carbon atoms, an alkanoyl group having 1 to 5 carbon atoms, or a hydroxyalkyl group having 1 to 6 carbon atoms, A represents a group which is represented by the formula.

Abstract: A hydroxyformamidine compound represented by the following formula or a pharmaceutically acceptable salt thereof [wherein R1 represents a substituted morpholino group, a substituted piperidino group, a piperazin-1-yl group, a substituted piperazin-1-yl group, a thiomorpholin-1-yl group, a perhydroazepin-1-yl group, a perhydroazocin-1-yl group, a tetrahydropyridin-1-yl group, a pyrrolin-1-yl group, etc.; X represents a nitrogen atom or a group represented by CR5; and R2 to R5 are the same or different and each represents a hydrogen atom, a C1-4 alkyl group, a C1-4 alkoxy group, a trifluoromethyl group or a halogen atom.] There is provided a drug which inhibits an enzyme producing 20-HETE participating in a contracting or dilating action for microvessels and an inducing action for cell proliferation in main organs such as kidney and cerebrovascular vessels.

Abstract: Supplied with a string of vector data as input data, a probabilistic distribution estimation apparatus estimates, by using a stochastic model having hidden variables, a probabilistic distribution in which each data occurs by successively reading the train of vector data. Specifically, the probabilistic distribution estimation apparatus reads values of parameters of the stochastic model having the hidden variables for a value of the input data, calculates, by using the stochastic model, a certainty in which the input data occurs, renews the parameters in response to new read data with past data forgotten, and produce several parameter's values. By using the parameter's values received from the probabilistic distribution estimation apparatus, an abnormality detection unit calculates an information amount of data as an abnormal behavior degree to produce the abnormal behavior degree.

Abstract: A hydroxyformamidine compound represented by the following formula or a pharmaceutically acceptable salt thereof.