Abstract: A computer processing system and method for reducing memory footprint that includes initiating, through at least one computer processor, a cryptography session utilizing an i-degree isogeny arithmetic computation having chained computations therein. The cryptography session includes implementing a first iteration cycle, of a plurality of iteration cycles, and a implementing a remaining amount of the plurality of iteration cycles, each of the plurality iteration cycles computing isogenies using a compressed Z value to complete the -degree isogeny arithmetic computation. The first iteration cycle includes individually computing a plurality of sequentially occurring pivot points within the chained computations, implementing a Co—Z algorithm within the plurality of sequentially occurring pivot points to compute and store the compressed Z value on one of the plurality of temporary registers and computing a first isogeny of the -degree isogeny arithmetic computations using the compressed Z value.

Abstract: Embodiments of the present disclosure include a system for directing the flow of fluids via a production tree. The production tree extends upwardly from a lower surface to an upper surface and at least partially enclosing an upper section of a production bore and an upper section of an annulus bore, wherein one of a lower section and the upper section of the production bore includes a first production valve, the upper section of the production bore includes a second production valve, and the upper section of the annulus bore includes a second annulus valve.

Abstract: Embodiments of the present disclosure include a system for directing the flow of fluids via a production tree. The production tree extends upwardly from a lower surface to an upper surface and at least partially enclosing an upper section of a production bore and an upper section of an annulus bore, wherein one of a lower section and the upper section of the production bore includes a first production valve, the upper section of the production bore includes a second production valve, and the upper section of the annulus bore includes a second annulus valve.

Abstract: A heat shield for a gas turbine engine includes a radial heat shield flange that extends in a circumferential direction and forms a ring. A plurality of bosses extend from a first axial side of the radial heat shield flange. There is a plurality of guide pins. One of the plurality of guide pins extends from a corresponding one of the plurality of bosses.

Abstract: Embodiments include reusable stick deodorant containers and associated inserts. The container includes a rotatable detachable base that allows an empty insert to be removed and replaced with a full insert. Each insert includes a screw and a follower that engages the screw. The screw engages the detachable base following insertion into the container, so that rotating the base causes the screw to rotate, moving the follower through the insert and expelling the end of a deodorant stick that is disposed upon the follower.

Abstract: An example case for a gas turbine engine includes a bearing compartment, a radially outer ring, and a radially inner ring. The radially outer ring and radially inner ring are connected by a plurality of circumferentially spaced apart struts and define an annular flow path therebetween. The radially inner ring includes a first flange that extends radially outward from the bearing compartment. The first flange includes an undulation that extends axially away from the plurality of struts, and defines a load path between the bearing compartment and the radially outer ring.

Abstract: A computer processing system and method for reducing memory footprint that includes initiating, through at least one computer processor, a cryptography session utilizing an -degree isogeny arithmetic computation having chained computations therein. The cryptography session includes implementing a first iteration cycle, of a plurality of iteration cycles, and a implementing a remaining amount of the plurality of iteration cycles, each of the plurality iteration cycles computing isogenies using a compressed Z value to complete the -degree isogeny arithmetic computation. The first iteration cycle includes individually computing a plurality of sequentially occurring pivot points within the chained computations, implementing a Co-Z algorithm within the plurality of sequentially occurring pivot points to compute and store the compressed Z value on one of the plurality of temporary registers and computing a first isogeny of the -degree isogeny arithmetic computations using the compressed Z value.

Abstract: A flange includes a flange body annularly disposed about a longitudinal axis. The flange body includes a first radial side and a second radial side radially opposite the first radial side. The flange body defines a first fastener hole and a circumferentially adjacent second fastener hole formed through the flange body. A first shielding zone has at least a portion of the first shielding zone located between the first and second fastener holes. A first shielding feature is disposed in the first shielding zone.

Abstract: A heat shield for a gas turbine engine includes a radial heat shield flange that extends in a circumferential direction and forms a ring. A plurality of bosses extend from a first axial side of the radial heat shield flange. There is a plurality of guide pins. One of the plurality of guide pins extends from a corresponding one of the plurality of bosses.

Abstract: An example case for a gas turbine engine includes a bearing compartment, a radially outer ring, and a radially inner ring. The radially outer ring and radially inner ring are connected by a plurality of circumferentially spaced apart struts and define an annular flow path therebetween. The radially inner ring includes a first flange that extends radially outward from the bearing compartment. The first flange includes an undulation that extends axially away from the plurality of struts, and defines a load path between the bearing compartment and the radially outer ring.

Abstract: Implementations of the present disclosure include methods, systems, and computer-readable storage mediums for receiving encoded data including an attribute set and a first hash value that are unique to a unit, the encoded data being printed on the unit, determining a first validation hash value by processing the attribute set using a hash function of a smart contract executing on a distributed ledger system (DLS), comparing the first hash value and the first validation hash value to effect a comparison that indicates whether the attribute set of the unit is valid, and transmitting a message to a remote computing device, the message indicating whether the attribute set of the unit is valid.

Abstract: A gift box with a self-inflating balloon is designed to be shipped to a recipient through the mail. A lid of the box is configured to be opened and may display a personalized message relating to a special occasion of the recipient. The box includes the balloon, which may be hidden from view in a compartment of the box. The box includes a switch that is configured to be actuated by the recipient. Upon actuating the switch, an inflation device is activated and begins to inflate the balloon, which emerges from the compartment of the box. A vibrating motor inside the box may synchronously cause the box to vibrate. After a pre-determined amount of time, the inflation device and motor deactivate, and a valve seals the air inside the balloon. Once the balloon is inflated, the gift box and balloon may be displayed for the recipient.

Abstract: Reusable stick deodorant containers and associated inserts are disclosed. The container includes a rotatable detachable base that allows an empty insert to be removed and replaced with a full insert. Each insert includes a screw and a follower that engages the screw. The screw engages the detachable base following insertion into the container, so that rotating the base causes the screw to rotate, moving the follower through the insert and expelling the end of a deodorant stick that is disposed upon the follower.

Abstract: A method of manufacturing a blade includes forming a first segment of a blade using a first alloy, forming a second segment of a blade using a second alloy, determining a joint location of the first segment of the blade, and joining the first segment and the second segment at the joint location of the first segment.

Abstract: Systems and methods for reducing the decibel or volume level of an alarm sound emitted by an alarm system or a security system from a first volume level to a second volume level are provided. Some methods can include detecting a user at a control panel of the security system when an audio alarm is broadcasting the audio sound at the first volume level, the control panel determining whether the user is attempting to use the control panel to disarm the security system, and when the control panel determines that the user is attempting use the control panel to disarm the security system, lowering the first volume level to the second volume level.

Abstract: Embodiments of the present disclosure include a system for directing the flow of fluids via a production tree. The production tree extends upwardly from a lower surface to an upper surface and at least partially enclosing an upper section of a production bore and an upper section of an annulus bore, wherein one of a lower section and the upper section of the production bore includes a first production valve, the upper section of the production bore includes a second production valve, and the upper section of the annulus bore includes a second annulus valve.

Abstract: A continuous additive fabrication system comprises a bath of photopolymer resin and a light source assembly having a light source and a motorized variable aperture. The light source assembly is operable to generate a focus point in the bath of photopolymer resin, the shape of the focus point at a curing plane within the bath of photopolymer resin corresponding to the shape of the motorized variable aperture. The continuous additive fabrication system further comprises a platform configured to support a build object and a drive mechanism (coupled to at least one of the platform and the light source assembly) configured to continuously move the curing plane through the bath of photopolymer resin. A size and/or shape of the motorized variable aperture is changed while the curing plane in continuously moved through the bath of photopolymer resin.

Abstract: A gift box with a self-inflating balloon is designed to be shipped to a recipient through the mail. A lid of the box is configured to be opened and may display a personalized message relating to a special occasion of the recipient. The box includes the balloon, which may be hidden from view in a compartment of the box. The box includes a switch that is configured to be actuated by the recipient. Upon actuating the switch, an inflation device is activated and begins to inflate the balloon, which emerges from the compartment of the box. A vibrating motor inside the box may synchronously cause the box to vibrate. After a pre-determined amount of time, the inflation device and motor deactivate, and a valve seals the air inside the balloon. Once the balloon is inflated, the gift box and balloon may be displayed for the recipient.

Abstract: Systems and methods for automatically obtaining cost-efficient access to a media content collection are provided. A user selection of a media content collection, which consists of a number of media assets, is received. A first price is determined for receiving access to the entire media content collection using a single transaction. For each media asset of the media content collection a set of providers of the media asset are identified, and the lowest price for receiving access to each media asset is determined. The lowest price for receiving access to each media asset of the media content collection is accumulated to determine a second price for receiving access to the media content collection using multiple transactions. The first and the second price are compared, and access to the media content collection is received based on this comparison.

Abstract: Systems and methods for automatically obtaining cost-efficient access to a media content collection are provided. A user selection of a media content collection, which consists of a number of media assets, is received. A first price is determined for receiving access to the entire media content collection using a single transaction. For each media asset of the media content collection a set of providers of the media asset are identified, and the lowest price for receiving access to each media asset is determined. The lowest price for receiving access to each media asset of the media content collection is accumulated to determine a second price for receiving access to the media content collection using multiple transactions. The first and the second price are compared, and access to the media content collection is received based on this comparison.