stout‚ cokins and chen | 2 Hailstone Sequences [12 marks] A hailstone sequence is a sequence of integers found by applying the following rule: Hailstone Iteration: For an integer n in a hailstone sequence‚ the next item in the sequence is 3n + 1 if n is odd‚ or n / 2 if n is even. For example‚ the hailstone sequence starting at 6 is 6 3 10 5 16 8 4 2 1. The sequence ends when 1 is reached. The name "hailstone sequence" stems from the way the values in the sequence go up and down‚ as a hailstone does
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summation and finally arrive at a general statement to determine the sum of the infinite sequence tn. The analysis will also discuss the scope and limitations of the general statement and test the validity by using various values of a and x. Conclusions will be supported by mathematical examples. The following function will be considered‚ where x and a remain constant throughout the entirety of the sequence and the numerator is raised to the next consecutive number. Tn =
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specific signal sequences or uptake-targeting sequences encoded into my peptide. Signal sequences contain information that will target the peptide to a particular organelle. The information is usually encoded within amino acid sequences of the protein itself‚ usually within the 20-50 amino acids. Also‚ each organelle has specific set of receptors that bind only to the specific signal sequences‚ thus making sure of target specificity. Once the peptide containing the signal sequence has bound to the
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(messenger RNA)‚ which creates a nucleotide sequence. After transcription‚ if the DNA base sequence is 3’-TACCCTTTAGTAGCCACT-5’‚ then the base sequence of mRNA would be 5 ’-AUGGGAAAUCAUCGGUGA-3’. During translation‚ Ribosomal RNA combines with proteins to form a ribosome. tRNA (transfer RNA) brings individual amino acids to the ribosome‚ mRNA binds the ribosome. 3 nucleotides at a time equal 1 codon or an amino acid. Therefore the resulting amino acid sequence from the previous mRNA is AUG‚ GGA‚ AAU
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difference between the new rural cable distribution systems and conventional urban systems‚ is that the zero sequence series impedance of the rural systems is not necessarily negligible. Since the zero sequence series impedance is partly resistive‚ the equivalent impedance of the system has a resistive component that cannot be compensated for by use of conventional resonance earthing. The zero sequence resistance damps the resonance of the system and by that influences the earth fault behaviour. The damping
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Finally‚ teachers in the late-career stage (years 31-40) move into a period of disengagement. In ‘disengagement’‚ as they approach retirement‚ some older teachers start focusing on their lives beyond the classroom‚ and they begin to distance themselves emotionally from their students. Towards the end of the career‚ teachers gradually disengage from their roles and withdraw to personal and reflective pursuits. They may leave the profession feeling satisfied and serene or bitter and worn out. This
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geometric sequence. (a) Find the common ratio‚ r‚ for this sequence. (b) If fees continue to rise at the same rate‚ calculate (to the nearest dollar) the total cost of tuition fees for the first six years of high school. Working: Answers: (a) ………………………………………….. (b) .................................................................. (Total 4 marks) 5. The first four terms of an arithmetic sequence are shown below. 1‚ 5‚ 9‚ 13‚...... (a) Write down the nth term of the sequence. (b) Calculate
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1: The sequence in the entry that was obtained from sequencing a piece of DNA from Vibrio fischeri genomic DNA digested with Sal I is 8654 bp long. Question 2: The -10 sequence for the lux operon is tgttata. 2 nucleotides are different when compared to the ideal sequence. Question 3: The lux R has its own promoter and is transcribed in the opposite direction from the lux operon‚ so it cannot be transcribed from the same strand because the RNA Polymerase recognizes promoter sequences only
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program. Bioperl uses three types of bioperl objects 1. Sequence object :Most common operation perform by Esq. Object like general string manipulation in DNA.Most common sequence manipulations can be performed with Seq. These capabilities are described in the Bio::Seq manage. 2. Location object :A Location object is designed to be associated with a Sequence Feature object in order to show where the feature is on a longer sequence. Location objects can also be standalone objects used to describe
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Step 4: If the smallest processing time is on the second machine‚ assign that job at the end of the sequence and eliminate the job. SEQUENCE: C A E F G B D In order to find the makespan for the sequence we need to draw a GANTT chart: M1: CCCC CCCC AAAA AAAA A EEEE EEEE EEEE EEEE FFFF FFFF FFFF FFFF FF GGGG GGGG GGGG GG BBBB BBBB BBBB B DDDD DDDD DDD M2 : _ _ _ _ _ _ _ _ CCCC CCCC CCCC
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