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In computational number theory, Cornacchia's algorithm is an algorithm for solving the Diophantine equation + =, where < and d and m are coprime. The algorithm was described in 1908 by Giuseppe Cornacchia.
Next we need an algorithm to count the number of points on E. Applied to E, this algorithm (Koblitz and others suggest Schoof's algorithm) produces a number m which is the number of points on curve E over F N, provided N is prime. If the point-counting algorithm stops at an undefined expression this allows to determine a non-trivial factor of N.
The goals of performing these exercises were to reduce pain and provide lower trunk stability by actively developing the "abdominal, gluteus maximus, and hamstring muscles as well as..." passively stretching the hip flexors and lower back (sacrospinalis) muscles. Williams said: "The exercises outlined will accomplish a proper balance between ...
Physical therapists can assist immobilized patients with effective cough techniques, secretion clearance, stretching of the thoracic wall, and suggest abdominal support belts when necessary. The amount of time a patient is immobilized may depend on the level of the spinal cord injury.
Approximately 9–12% of people (632 million) have low back pain at any given point in time, [26] and nearly 25% report having it at some point over any one-month period. [7] [8] About 40% of people have low back pain at some point in their lives, [7] with estimates as high as 80% among people in the developed world. [27]
Low back pain accounts for 17% of all physician visits of people aged 65 and older. [37] From this population, a large portion of radicular pain stems not from disk pathology, but from lumbar spinal stenosis. [37] According to Kalff et al., 21% of people over the age of 60 have lumbar spinal stenosis, as confirmed by radiological screening. [38]
Back pain (Latin: dorsalgia) is pain felt in the back. It may be classified as neck pain (cervical), middle back pain (thoracic), lower back pain (lumbar) or coccydynia (tailbone or sacral pain) based on the segment affected. [1] The lumbar area is the most common area affected. [2]
If pain remains intolerable while taking over the counter medications, a stronger pain medication such as a narcotic or a muscle relaxant can be prescribed at a physician's discretion. [14] [12] [9] Therapy and alternative medicine: an active approach to recovery is recommended over bed rest for most cases of back injury. [8]
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