Mounting apparatus useable with instruments and mobile electronic devices are disclosed which may contain a base structure, an upper support structure and an intermediate member. The base structure may contain a lyre clip attachment plate configured to attach to a lyre clip, which may in turn be connected to a musical instrument such as a wind instrument. The upper support structure and the base structure may both be configured to be pinned in a fixed position along the intermediate member in a manner that can accommodate a significant variety of mobile electronic devices.

The present invention provides a method for performing a graph-based prediction using a graph signal including obtaining a context signal; generating a graph signal based on a graph parameter set; obtaining a graph-based transform matrix based on the graph signal, wherein the graph-based transform matrix includes an eigenvector; obtaining a prediction vector using an optimal transform vector calculated through an optimization function; and generating a prediction signal using the prediction vector, where the optimization function has the context signal, an eigenvalue of a graph Laplacian matrix and the eigenvector as a variable.

A grip system comprises a protective case and a grip apparatus. The grip apparatus is attached to a back surface of the protective case. The grip apparatus includes a base, two flexible strips or straps, and a cap. The base is configured to be removably inserted into the recess in the back of the protective case. The two flexible strips are each attached to the base. The cap is proximate a top surface of the base when in a stowed position and extendable away from the top surface of the base when the cap is pulled outward to an extended position. Each flexible strip is configured or adapted to slide within a slot or channel in the cap. Each flexible strip slides into the slot when the grip apparatus is transitioned to the stowed position and slides out of the slot when transitioned to the extended position.

A mobile phone case. A charging cable or an audio cable, or a combination thereof, can be stored within the mobile phone case and deployed outward as desired. Alternatively, the cable can provide the added utility of mounting, hanging, and tying capabilities for attachment of the mobile phone case onto certain physical objects or the human body. Furthermore, the mobile phone case may provide multiple anchor points to create a rigging system with the cable that forms various suspension configurations for a desired location.

A cellular device belt buckle includes a buckle plate having a front side, a back side, a belt tongue, a belt pin extending outwardly from the back side, a pair of confronting dog ears extending outwardly from the front side, and a pair of spring tabs. The cellular device belt buckle further includes a cell phone having a pair of slots extending through a side end and a pair of apertures formed through an attachment face formed of the cell phone. The cell phone is removably attached to the front side of the buckle plate with the spring tabs cooperatively engaged with the slots and the dog ears cooperatively engaged with the apertures.

A tie strap includes an elongated flexible strap defining first and second opposed ends, a first surface and a second surface; a first fabric attachment pad secured to the first surface proximate the first end; a second fabric attachment pad secured to the first surface proximate the second end; a third fabric attachment pad secured to the second surface proximate the second end; and a fourth attachment pad secured to a personal item, the personal item being securable to the tie strap by passing the second end of the flexible strap on a first side of a belt or the like and pressing the fourth attachment pad against the second attachment pad and thereafter rotating the second end of the elongated strap and the personal item upwardly and thereafter folding the first end of the flexible strap upon the third fabric attachment pad and pressing the first attachment pad against the third attachment pad.

A hinged support apparatus that can include a mounting plate, an elongated base, and two living hinges on the elongated base. The mounting plate can have a proximal and a distal end. The elongated base can have a proximal end, a midway point, and a distal end, wherein the proximal end of the elongated base can be attached to at least a portion of the proximal end of the mounting plate and the midway point can create a proximal half and a distal half of the elongated base. A first of the two living hinges can be located between the proximal end and the midway point of the elongated base. A second of the two living hinges can be located between the first living hinge and the midway point of the elongated base. The two living hinges can be parallel to each other and can pivot in the same direction.

Disclosed herein is a securement apparatus, such as a lanyard, that has increased tensile strength and shear strength when compared with a conventional securement apparatus. The securement apparatus includes a connector extending from a connector body, a strap coupled to the connector body, and a structural component. The structural component has a tapered geometry such that a first end that is contained within the connector body has a first width and/or height and a second end that transitions from the connector body into the strap has a second width and/or height that is less than the first width and/or height.

A coupler for removeable coupling an object to a support. The coupler includes a cover, a ring, and a base. The cover couples to the support. The ring includes a first arm, a second arm, a third arm, a fourth arm, a first stop, and a second stop. Each arm of the ring is formed of a resilient material. The ring is positioned in a cavity of the cover. The base couples to the accessory. The base cooperates with the cover and the ring to couple to the cover and to rotate from a decoupled position to an intermediate position and further to a clocked position.

A case assembly for an electronic device includes a case including a back wall and a peripheral wall projecting from a periphery of the back wall to define a case interior. The back wall includes an exterior surface and a plurality of slots formed through the back wall. A flexible member is positioned in the plurality of slots to form a plurality of expandable portions on the exterior surface of the back wall.