Conjugate duality and optimization by R. T Rockafellar

By R. T Rockafellar

Offers a comparatively short creation to conjugate duality in either finite- and infinite-dimensional difficulties. An emphasis is put on the basic value of the recommendations of Lagrangian functionality, saddle-point, and saddle-value. basic examples are drawn from nonlinear programming, approximation, stochastic programming, the calculus of adaptations, and optimum regulate

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The extended nose landing gear is uncharacteristic of the aircraft following landing. Note, too, the plastic nose cap placed over the "ball" nose. ' Following its arrival at Edwards AFB, X-15, 56-6672, is run through a weight and balance check on May 19, 1960, while suspended from a crane-supported sling. Calibration was done manually, using finely calibrated field surveyor's levels. With its XLR99 covered e,nd plugs placed in its anyhdrous ammonia and LOX dump tubes, X-15, 56-6672, is prepared for upload and attachment to the launch pylon on July 9, 1962.

The X-1SA-2, 56-6671, seen on November 2, 1965, in preparation for its first flight with its external propellant tank system in place, was to become the most colorful of the three X-IS's thanks to its varied markings and (later) coating of MA-2SS ablative. Visible in this view is the open Q-bay-like sensor bay, foeated just behind the cockpit area. This served to accommodate various test instruments and research tools, such as cameras. Tank ground clearance is notewOrlhy. 39 It Cockpit of X-15A-2, 56-6671, as it looks today while on display at the USAF Museum, Wright-Patterson AFB, Ohio.

Iii 'i; ~ it ~ The X-15 was equipped with a conventional single-piece flap on each wing trailing edge. This unit, which had a blunt trailing edge like the rest of the wing, was utilized during final approach and landing to increase the aircraft drag coefficient and decrease the landing roll-out distances. The flap was hydraulically actuated by a single ram mounte? inside the fuselage chine/tunnel assembly. It was attached to the wing by two large hinges. '" ~ Special temperature sensitive paints, generically known as "templac", were utilized many times during X-15 flights to determine heat patterns and hot spots on the aircraft skin and structure.

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