Abstract: Methods and apparatus to estimate cardinality across multiple datasets represented using Bloom filter arrays are disclosed. Disclosed examples include processor circuitry to execute and/or instantiate instructions to determine an inclusion-exclusion expression that defines an audience size for a user group of interest. Terms in the inclusion-exclusion expression corresponding to either a first cardinality of a first one of at least three Bloom filter arrays or a second cardinality of a union of two or more of the Bloom filter arrays. Different ones of the Bloom filter arrays representative of different sets of users who accessed media. The at least one processor further to estimate, based on the inclusion-exclusion expression, the audience size of the user group of interest.

Abstract: Methods and apparatus to estimate cardinality of users represented across multiple bloom filter arrays are disclosed. Examples includes processor circuitry to execute and/or instantiate instructions to generate a first composite Bloom filter array based on first and second Bloom filter arrays. The processor circuitry is to generate a final composite Bloom filter array based on the first composite Bloom filter array and a third Bloom filter array. Different ones of the first, second, and third Bloom filter arrays representative of different sets of users who accessed media. The first, second, and third Bloom filter arrays including differential privacy noise. The processor circuitry to estimate a cardinality of a union of the first, second, and third Bloom filter arrays based on the final composite Bloom filter array.

Abstract: Provided is a cover and a cover assembly for use in covering objects such as an outdoor furnishing, equipment, utilities and the like. The cover includes a compartment that removably attaches to the object and a cover portion that is stored in the compartment. The compartment includes a pouch-shaped interior and a pouch-extending tongue that is connected to the pouch-shaped interior and that attaches to a cover-extending tongue that is connected to an underneath side of the cover portion thereby attaching the cover portion to the compartment. In various embodiments, a space exists on the underneath side of the cover portion between the cover-extending tongue and an exterior edge of the cover portion such that when the cover portion is on the object, the exterior edge hangs below the compartment thereby covering the compartment while the cover portion remains attached to the compartment via the cover-extending tongue.

Abstract: An animal self-care device including a base, at least one base rubbing surface disposed on the base for contact by an animal, and at least one arm having first and second ends. The second end of the arm is pivotally attached to the base to pivot among a stored position and a deployed position. At least one arm rubbing surface is disposed on the arm for contact by an animal.

Abstract: An animal self-care device including a base, at least one base rubbing surface disposed on the base for contact by an animal, and at least one arm having first and second ends. The second end of the arm is pivotally attached to the base to pivot among a stored position and a deployed position. At least one arm rubbing surface is disposed on the arm for contact by an animal.