摘要:
Method of identifying invalid digital signatures involving batch verification by receiving digital messages, digital signatures, and signer identifiers, computing Z0 as a function of the received information, and determining if the digital signatures are valid. If so, stopping. If not, assigning a signature identifier to each digital signature, setting w equal to 1, computing Zw as a function of the received information and signature identifiers, and searching for a multiplicative relationship amongst Z0, Z1, . . . , Zw. If one is found then determining the invalid digital signatures from the multiplicative relationship and stopping. Otherwise, incrementing w and returning to the step of computing for additional processing if desired.
摘要:
An apparatus is provided for installing a faucet or end body valve assembly on a top side of a deck. The apparatus includes a threaded member engaged with the faucet or end body and extending through the mounting hole to be rotated from above the deck. A wedge nut is threadedly connected to the threaded member to pass through the mounting hole to the underside of the deck. A second member associated with and parallel to the threaded member engages the nut to prevent rotation thereof during rotation of the threaded member whereby the nut will be shifted up or down along the length of the threaded member responsive to the direction of rotation of the threaded member. A retainer member is disposed around the threaded member and includes a plurality of legs which each include a foot portion at an end thereof. Upon rotation of the threaded member to raise the nut in the direction of the deck, the wedge nut engages the retainer member and causes the foot portions of each leg to engage the underside of the deck to clamp the faucet or end body to the deck.
摘要:
A retractable leash includes an integral light. The apparatus has a first housing section and a retractable leash section. The first housing section has a handle, a light connected to top front portion of the first housing section and a receiving area. A rechargeable battery is removably connected to the first housing in the handle. The retractable leash section has a second housing section pivotably mounted to the first housing section, in the receiving area, and a reel rotatably mounted to the second housing section. A leash is connected to the reel for extension and retraction relative to the first housing section. In an alternate embodiment, a light is located on the leash and electrically connected to a conductor extending along the leash.