Consider the (5,k)-SAT problem: Input: A boolean formula in…

Consider the (5,k)-SAT problem: Input: A boolean formula in CNF form such that there are at most five literals in each clause, and an integer k ≥ 1.Output: An assignment of variables such that exactly k clauses are unsatisfied, or return NO if such an assignment does not exist. Prove that (5,k)-SAT is NP-complete.

Let y_t=(y_(t-τ),…,y_(t-1)) be a vector of preceding spike c…

Let y_t=(y_(t-τ),…,y_(t-1)) be a vector of preceding spike counts up to but not including time t Let x_t=(x_(t-τ),…,x_(t-1)) represent the vector of preceding stimuli up to but not including time t. To mimic the refractory period in the GLM, if a spike occurs just prior to time t, the convolution of the spike occurrence with the post-spike filter h 

Use this scenario to answer the next few questions: A 35-yea…

Use this scenario to answer the next few questions: A 35-year-old male presents with shoulder pain after a fall while playing basketball. He reports pain on the lateral aspect of the shoulder, difficulty lifting his arm, and a feeling of instability. On examination, there is tenderness over the acromioclavicular (AC) joint, limited range of motion, and weakness in abduction.   Which structure is most likely injured given the patient’s history and symptoms?