Abstract: Methods of squaring, in hardware logic, a floating point number comprising an m-bit input exponent and an input mantissa comprise generating a candidate mantissa output, in mantissa hardware logic, by squaring the input mantissa and generating, in exponent and exception logic, three candidate exponent outputs. The three candidate exponent outputs comprise (i) an exceptional exponent output, (ii) an exponent output generated from the m-bit input exponent and (iii) an incremental exponent generated by incrementing the exponent output. The method further comprises selecting, as the output mantissa, either the candidate mantissa output or an exceptional mantissa output based on exception signals generated by the exponent and exception logic based on the m-bit input exponent. The method additionally comprises selecting, as an output exponent, one of the three candidate exponent outputs based on the exception signals and based on a signal indicating a mantissa overflow condition.

Abstract: Methods of calculating a square of an input number in hardware logic are described. An m-bit number is received and Booth encoding is performed on different groups of three consecutive bits selected from the input to generate an encoded value for each of the groups. For each group, the method comprises forming a truncated string from the input number, generating an updated version of the truncated number and selecting a bit string based on the encoded value, the selected bit string comprising zeros or a left-shifted version of the updated version of the truncated number sign extended to a bit-width of 2m bits. The method further comprises combining the selected bit strings and square and sign bits for each group into an addition array; and summing the bits in the addition array.

Abstract: Training ammunition that may be utilized by the U.S. Army, Marines and other Armed Forces that conduct training exercises with about 20 mm to 155 mm cartridges. The munition would electronically generate/initiated a signature that would become present at the target. The user would be able to observe the signature with the unaided eye during day or night training, or with devices such as night vision goggles/monocular or thermal sites. The generated signature would not utilize any explosives or pyrophoric iron powders, and would not create an increased fire hazard risk to the user. The munition would be able to survive typical rough handling and firing weapon malfunctions without becoming unusable, or causing delays in training exercises.

Abstract: Provided are microfluidics systems, devices, and networks for generating partitions. The microfluidics systems, devices, and networks may facilitate efficient merging of one or more channels in a microfluidic network and prevent blockage of a channel segment, such as by gas (e.g., air) bubbles or by one or more particles in a fluid.

Abstract: The subject technology is related to methods and apparatus for discretization and manufacturability analysis of computer assisted design models. In one embodiment, the subject technology implements a computer-based method for the reception of an electronic file with a digital model representative of a physical object. The computer-based method determines geometric and physical attributes from a discretized version of the digital model, a cloud point version of the digital model, and symbolic functions generated through evolutionary algorithms. A set of predictive machine learning models is utilized to infer predictions related to the manufacture process of the physical object.

Abstract: The present disclosure provides methods and systems for sample preparation and/or analysis. Samples may be cells, or may be derived from one or more cells. Sample preparation may comprise conducting one or more reactions on a target. Such reactions may be conducted in one or more partitions. One or more reactions may be performed in one or more successive operations.

Abstract: The subject technology is related to methods and apparatus for training a set of regression machine learning models with a training set to produce a set of predictive values for a pending manufacturing request, the training set including data extracted from a set of manufacturing transactions submitted by a set of entities of a supply chain. A multi-objective optimization model is implemented to (1) receive an input including the set of predictive values and a set of features of a physical object, and (2) generate an output with a set of attributes associated with a manufacture of the physical object in response to receiving the input, the output complying with a multi-objective condition satisfied in the multi-objective optimization model.

Abstract: Devices, systems, and their methods of use, for generating and collecting droplets are provided. The invention provides multiplex devices that increase droplet formation in a limited area.

Abstract: Devices, systems, and their methods of use, for generating and collecting droplets are provided. Devices use flow focusing arrangements of channels to produce droplets. The invention further provides multiplex devices that increase droplet formation.

Abstract: The subject technology is related to methods and apparatus for discretization and manufacturability analysis of computer assisted design models. In one embodiment, the subject technology implements a computer-based method for the reception of an electronic file with a digital model representative of a physical object. The computer-based method determines geometric and physical attributes from a discretized version of the digital model, a cloud point version of the digital model, and symbolic functions generated through evolutionary algorithms. A set of predictive machine learning models is utilized to infer predictions related to the manufacture process of the physical object.

Abstract: The subject technology is related to methods and apparatus for training a set of regression machine learning models with a training set to produce a set of predictive values for a pending manufacturing request, the training set including data extracted from a set of manufacturing transactions submitted by a set of entities of a supply chain. A multi-objective optimization model is implemented to (1) receive an input including the set of predictive values and a set of features of a physical object, and (2) generate an output with a set of attributes associated with a manufacture of the physical object in response to receiving the input, the output complying with a multi-objective condition satisfied in the multi-objective optimization model.

Abstract: The present disclosure provides compositions, methods, systems, and devices for polynucleotide processing and analyte characterization. Such polynucleotide processing may be useful for a variety of applications, including analyte characterization by polynucleotide sequencing. The compositions, methods, systems, and devices disclosed herein generally describe barcoded oligonucleotides, which can be bound to a bead, such as a gel bead, useful for characterizing one or more analytes including, for example, protein (e.g., cell surface or intracellular proteins), genomic DNA, and RNA (e.g., mRNA or CRISPR guide RNAs). Also described herein, are barcoded labelling agents and oligonucleotide molecules useful for “tagging” analytes for characterization.

Abstract: A stator angle is determined to correct a value measured by a wheel force transducer. A mounting bracket is rigidly attached to a vehicle and supports a housing within which a rotary encoder is mounted. A stator rod retainer is aligned with a rotational axis of the rotary encoder and has a through-bore extending perpendicular to the rotational axis. The stator rod retainer rotates relative to a stationary portion of the rotary encoder using at least one bearing, and the stator rod retainer supports a first end of a stator rod for substantially free movement through the through-bore. A controller determines, when the second end of the stator rod is fixedly attached to an encoder stator attached to a wheel, a stator angle of the stator rod used for adjusting at least one value associated with the wheel that is measured using the encoder stator.

Abstract: Provided herein are methods, compositions, and systems for multiplexed analysis of individual cells or cell populations. Cells encapsulated in beads and/or biomolecules are sequentially co-partitioned, allowing for analysis of two different types of biomolecules (e.g., RNA and DNA). The present invention leverages different polymer dissociation mechanisms, accompanied with barcoding of biomolecules (e.g., nucleic acid molecules) for multiplexed measurements in single cells. Sequential co-partitioning and barcode technology enables identification and quantitation of DNA and RNA from single cells.

Abstract: The present disclosure provides methods and systems for sample preparation and/or analysis. Samples may be cells, or may be derived from one or more cells. Sample preparation may comprise conducting one or more reactions on a target. Such reactions may be conducted in one or more partitions. One or more reactions may be performed in one or more successive operations.

Abstract: The subject technology is related to methods and apparatus for discretization and manufacturability analysis of computer assisted design models. In one embodiment, the subject technology implements a computer-based method for the reception of an electronic file with a digital model representative of a physical object. The computer-based method determines geometric and physical attributes from a discretized version of the digital model, a cloud point version of the digital model, and symbolic functions generated through evolutionary algorithms. A set of predictive machine learning models is utilized to infer predictions related to the manufacture process of the physical object.

Abstract: A barrier material for a containment system comprising: a first portion of polymeric material having an open structure defined by a plurality of small openings to function as a fine screen, the first portion of polymeric material being formed from a plurality of fibrous materials and being configured to form a static structure having a display surface; and a second portion attached to a second surface of the first portion, the second portion having an open structure defined by a plurality openings to function as a reinforcing member for the first portion; wherein the display surface of the first portion is configured to receive and retain a printed image thereon.

Abstract: Provided herein are methods, compositions, and systems for multiplexed analysis of individual cells or cell populations. Cells encapsulated in beads and/or biomolecules are sequentially co-partitioned, allowing for analysis of two different types of biomolecules (e.g., RNA and DNA). The present invention leverages different polymer dissociation mechanisms, accompanied with barcoding of biomolecules (e.g., nucleic acid molecules) for multiplexed measurements in single cells. Sequential co-partitioning and barcode technology enables identification and quantitation of DNA and RNA from single cells.

Abstract: Devices, systems, and their methods of use, for generating droplets are provided. The devices, systems, and methods may include transporting a first liquid through an outlet of a channel and causing relative motion of the outlet and an interface of a second liquid to produce droplets of the first liquid in the second liquid. The devices, systems, and methods may also include illuminating a portion of the liquid as the liquid exits from an outlet. The invention also provides methods, devices, and systems for changing the size of a droplet and for eliminating a droplet from a plurality of droplets.

Abstract: A microfluidic system includes a microfluidic chip having a plurality of fluid channels, each fluid channel having an opening providing access to an interior of the fluid channel, and a gasket disposable on the microfluidic chip in an aligned configuration, the gasket including a first side configured to face the microfluidic chip in the aligned configuration, a second side opposite the first side, and an aperture extending through the gasket from the first side to the second side, the aperture being sized and positioned to allow a communication of pressure from the second side of the gasket to the openings of at least two fluid channels when the gasket is in the aligned configuration.