Abstract: The present application provides bicyclic amines that are inhibitors of cyclin-dependent kinase 12 (CDK12), as well as pharmaceutical compositions thereof, and methods of treating cancer using the same.

Abstract: Provided is a privacy-preserving method for personal bill record filtering and amount statistics. A user homomorphically encrypts data involved in personal bills, including bill amount, income-expenditure category, bill description, and occurrence time, and uploads ciphertext data to a server. Then the user inputs three conditions: keywords for the bill description, an interval for the bill amount, and an occurrence time range. The server, according to an AND/OR combination of the three conditions, performs a combination of homomorphic operations on the ciphertext data, and returns all results to the user, and the user performs decryption to recover query results. Finally, the user inputs a required income-expenditure category and a required occurrence time range. The server performs homomorphic operations and returns operation results to the user. The user performs homomorphic decryption to calculate a total amount, thereby completing amount statistics and generating a final query result.

Abstract: The present disclosure provides compounds, compositions, and methods useful for inhibiting PI3K?, and/or treating a disease, disorder, or condition associated with PI3K?, and/or treating cancer.

Abstract: Provided is a verifiable random lottery method based on a Merkle tree and a sorting manner, including: determining a number of winners and participants in a lottery, and allowing a lottery system to record personal data submitted by each of the participants and a random timestamp clicked and confirmed by the participant in a time period; constructing a Merkle tree with an SM3 algorithm, and taking a root of the Merkle tree as a random seed; taking the random seed as an input, iteratively running the SM3 algorithm to obtain a random string of each participant, sorting all of the random strings in a descending manner, and selecting the winners in the lottery; verifying the random seed in the lottery; and verifying a lottery result: iteratively running the SM3 algorithm on a legal random seed to reproduce and verify the lottery result.

Abstract: The present application provides bicyclic amines that are inhibitors of cyclin-dependent kinase 12 (CDK12), as well as pharmaceutical compositions thereof, and methods of treating cancer using the same.

Abstract: The disclosure provides PARP PROTAC molecules comprising a PARP inhibitor linked to an E3 ligase binder, and their use in treating diseases caused by aberrant PARP activation. Such PROTAC molecules produce selective degradation of one or a specific set of PARP proteins with limited effects on the protein level of other PARPs.

Abstract: Provided are a QR decomposition-based detection method and apparatus based on overlapped multiplexing. The QR decomposition-based detection method includes: step S1: obtaining a receive sequence, where the receive sequence is a sequence obtained by encoding and modulating an input signal based on a multiplexing waveform matrix and transmitting the signal through a Gaussian channel; and step S2: detecting the receive sequence by using a QR decomposition algorithm, where step S2 includes: decomposing a foreknown multiplexing waveform matrix into a unitary matrix and an upper triangular matrix; performing matrix multiplication processing on the receive sequence based on the unitary matrix, to obtain a data sequence; and performing layer-by-layer detection on the data sequence based on the data sequence, the upper triangular matrix, and a quantized decision factor.

Abstract: A semi-blind channel estimation method and apparatus are provided. The semi-blind channel estimation method includes: step S1: obtaining data that includes a first training sequence and that is received by a receive end; step S2: performing minimum mean square error channel estimation based on the data and the prestored first training sequence, to obtain a channel parameter matrix; step S3: detecting the first training sequence by using a least square detection algorithm, to obtain estimated data; and step S4: using the estimated data as a second training sequence, replacing the first training sequence in step S2 with the second training sequence, and cyclically performing step S2 and step S3 on the second training sequence, until a channel parameter matrix obtained last time is the same as a channel parameter matrix obtained this time, and then stopping circulation, to estimate a final channel parameter matrix.

Abstract: The present disclosure provides compounds that may be useful for inhibiting Wnt pathway comprising compounds of the formula: (Ia) or (Ib) wherein the variables are as defined herein. In some aspects, the compounds may be used to inhibit the Wnt pathway and used to treat cancer, myocardial infarction, osteopetrosis, or used in the maturation of a precursor cell to a mature cell. Also provided herein in are pharmaceutical compositions of the compounds described herein.

Abstract: A semi-blind channel estimation method and apparatus are provided. The semi-blind channel estimation method includes: step S1: obtaining data that includes a first training sequence and that is received by a receive end; step S2: performing minimum mean square error channel estimation based on the data and the prestored first training sequence, to obtain a channel parameter matrix; step S3: detecting the first training sequence by using a least square detection algorithm, to obtain estimated data; and step S4: using the estimated data as a second training sequence, replacing the first training sequence in step S2 with the second training sequence, and cyclically performing step S2 and step S3 on the second training sequence, until a channel parameter matrix obtained last time is the same as a channel parameter matrix obtained this time, and then stopping circulation, to estimate a final channel parameter matrix.

Abstract: Provided are a QR decomposition-based detection method and apparatus based on overlapped multiplexing. The QR decomposition-based detection method includes: step S1: obtaining a receive sequence, where the receive sequence is a sequence obtained by encoding and modulating an input signal based on a multiplexing waveform matrix and transmitting the signal through a Gaussian channel; and step S2: detecting the receive sequence by using a QR decomposition algorithm, where step S2 includes: decomposing a foreknown multiplexing waveform matrix into a unitary matrix and an upper triangular matrix; performing matrix multiplication processing on the receive sequence based on the unitary matrix, to obtain a data sequence; and performing layer-by-layer detection on the data sequence based on the data sequence, the upper triangular matrix, and a quantized decision factor.

Abstract: The present disclosure provides compounds that may be useful for inhibiting Wnt pathway comprising compounds of the formula: (Ia) or (Ib) wherein the variables are as defined herein. In some aspects, the compounds may be used to inhibit the Wnt pathway and used to treat cancer, myocardial infarction, osteopetrosis, or used in the maturation of a precursor cell to a mature cell. Also provided herein in are pharmaceutical compositions of the compounds described herein.