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Apply SVD for the this image, and upload two graphs: (a)Singular values σk.   (b)Cumulative energy in the first k modes.

Match different type of Fourier method:

Fourier transform is fundamental in computational mathematics, enabling real-time image and audio compression, global communication networks, modern devices and hardware, numerical physics, engineering at scale, and advanced data analysis.

A 45 year-old male has persistent medial ankle and foot pain with weight bearing after playing a soccer match. During the game, he severely sprained his ankle in extreme supination. What talocrural ligament do you suspect he injured?

The plantar fascia functions as a “Tie rod on a truss like structure”, to facilitate the windlass mechanism. Complete this statement: “During gait as the meta-tarsophalangeal joints go in extension, ___________________________:

The iliopsoas during a close kinetic chain position of the lower extremity (in standing):

A patient in supine displays a progressive increase of lumbar spine lordosis during the LOWERING phase of bilateral active straight leg raising -LOWERING of the limbs. What is MOST likely the cause of the observed increased lordosis?

When observing the interdependence of the leg and the foot in a weight bearing position; during the motion of knee flexion you expect:

A person is walking down the street and his/her rearfoot (hindfoot) goes into an unexpected excessive supination. What possible compensatory motion might occur?

A physical therapist treats a patient diagnosed with posterior tibial tendon tear. When observing the posterior aspect of the patient’s lower extremity and ankle in standing, which of the following is the MOST probable for the therapist to observe?