Abstract: Compositions and methods for modulating male fertility in a plant are provided. Compositions comprise nucleotide sequences, and active fragments and variants thereof, which modulate male fertility. Further provided are expression cassettes comprising the male fertility polynucleotides, or active fragments or variants thereof, operably linked to a promoter, wherein expression of the polynucleotides modulates the male fertility of a plant. Various methods are provided wherein the level and/or activity of the sequences that influence male fertility is modulated in a plant or plant part.

Abstract: Delegation of proof computation is disclosed, including: receiving, at a first processor, a private input data and a public input data to generate a computationally intensive proof associated with a transaction to be posted to a blockchain; and executing, at the first processor, a first proof computation based at least in part on the private input data and the public input data to generate an intermediate proof state; sending, from the first processor, the intermediate proof state to a second processor, wherein the second processor is configured to execute a second proof computation based at least in part on the intermediate proof state to generate the computationally intensive proof associated with the transaction, wherein it is computationally infeasible for the second processor to derive the private input data from the intermediate proof state.

Abstract: Key derivation for account management is disclosed, including: generating an account private key associated with a new account; generating a compute key associated with the new account based at least in part on the account private key, wherein the compute key is usable to verify a new transaction to be confirmed on a blockchain, and wherein the new transaction is initiated by the new account; and generating a view key associated with the new account based at least in part on the account private key, wherein the view key is usable to decrypt a portion of a confirmed transaction on the blockchain that belongs to the new account.

Abstract: There are provided systems and methods for providing tools in an integrated development environment (IDE) for performing one or more of defining, compiling, packaging, collaborating, and testing zero-knowledge proofs.

Abstract: A stance guide and method of use are disclosed to help a user achieve and hold a number of stances hence providing corresponding health benefits to the user. The stance guide includes an adjustable foot engaging and an adjustable body engaging device, connected to each other with a frame, for guiding and engaging the user's feet and body while accommodating a range of user population. The foot engaging or the body engaging device can include a sensing and signaling device plus a timer to help the user achieve correct stances for a desired time duration. A display device can be included for displaying the stance images as a visual aid. A guard device can be included for reducing the risk of an accidental fall during practice. Specific designs of the stance guide are presented with health benefits of reducing excess urination, enhancing sleep quality and reducing body weight.

Abstract: A compact stance guide is disclosed to help the user achieve and hold a number of stances so that the holding of each stance provides a corresponding health benefit. The compact stance guide includes a foot engaging device, a body engaging device and a framing structure connected to the foot engaging device and the body engaging device. At least part of the foot engaging device, the body engaging device or the framing structure are objects in pre-existence and made for another purpose hence the thus formed stance guide becomes lower in cost and perceptually more compact in size. In a specific embodiment, the compact stance guide includes a separate feet board, two elbow-engaging members and an extensible balancing bar. The extensible balancing bar has two ends for engaging two opposing vertical surfaces of a preexisting object for support.