Arrange the Functions $n ^ { 3 / 2 } , \log \left( n ^ { n } \right) , \left( n ^ { 100 } \right) ^ { n }$

question 7

Short Answer

Arrange the functions $n ^ { 3 / 2 } , \log \left( n ^ { n } \right) , \left( n ^ { 100 } \right) ^ { n }$ and $\log ( n ! )$ in a list so that each function is big- $O$ of the next function .

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Definitions:

Nucleus Pulposus

Soft central portion of the intervertebral disk.

Herniated Disc

A condition where the soft center of a spinal disc pushes through a crack in the tougher exterior casing, often leading to pain and nerve irritation.

Lateral Curvature

Often referred to as scoliosis, it is the abnormal sideways curve of the spine when viewed from the front or back.

Scoliosis

A spinal condition characterized by a sideways curve of the spine.