Step 1: Understanding Sequence Alignment Terms
A profile represents the distribution of amino acids or nucleotides at each position in an alignment of multiple sequences, showing which amino acids are preferred at each position.
Step 2: Evaluating the Options
- Pattern: Refers to specific motifs or arrangements within the sequence but not the entire sequence's residue distribution.
- Profile: Correct, a profile captures the preference for amino acid types at each position in a sequence alignment.
- Motif: A conserved sequence pattern often found in biological contexts but not specifically for residue preference in alignments.
- Feature: Refers to specific sequence features or attributes but not the general residue preference in alignments.
Step 3: Conclusion
The term used for residue preference at each position in multiple sequence alignment is a profile.
A closed-loop system has the characteristic equation given by: $ s^3 + k s^2 + (k+2) s + 3 = 0 $.
For the system to be stable, the value of $ k $ is:
A digital filter with impulse response $ h[n] = 2^n u[n] $ will have a transfer function with a region of convergence.