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 

Answer the question based on the scenario presented: History…

Answer the question based on the scenario presented: History: A 25-year-old male student at NAU presents with shoulder pain and a feeling of instability after a dislocation while playing on NAU’s club rugby. He reports recurrent episodes of the shoulder “slipping out” since the initial injury. Signs and Symptoms: Pain with shoulder abduction and external rotation Tenderness over the anterior shoulder Weakness in shoulder external rotation Question: What is the most likely diagnosis, and what two (2) special tests would you use to confirm your diagnosis?