The phrase "an arbitrary starting point" is correct and usable in written English.
It can be used when discussing a point of reference or beginning that is chosen without any specific reason or criteria.
Example: "In our analysis, we decided to use an arbitrary starting point to simplify the calculations and focus on the overall trends."
Alternatives: "a random starting point" or "a chosen starting point".
2011 is merely a new entry in our ancient custom of chronological bookkeeping, an arbitrary starting point for our annual trip around the sun.
Step 1 : (Initialization): Select an arbitrary starting point (u_{0} in K).
Given a single demonstration, the robot is able to solve the same task from an arbitrary starting point and then continue the task.
(Initialization): Select an arbitrary starting point (u_{0} in K). (Iteration): Given the current approximation point (u_{n} in K), (n inmathbb{N} cup{0}), compute u_{n+1}=P_{K} u_{n} - lambda Su_{n}), satisfying Theorem 4.1(a).
Consequently, the intensities fluctuate when ablating the sample as a result of variations in concentrations and in laser energy coupling to the surface.[45] To account for these variations, the intensity for any element generated by LA at a given position, IX,p, is simply normalised to the combined internal standard count rate at an arbitrary starting point, 0Icis.
(Initialization): Select an arbitrary starting point (u_{0} in K). (Iteration): Given the current approximation point (u_{n} in K), (n inmathbb{N} cup{0}), compute u_{n+1}=P_{K} u_{n} - lambda Su_{n}), satisfying Theorem 4.2(a -(c).
Dr. Vakoch admits that altruism is a somewhat arbitrary starting point, but a logical one.
But despite this arbitrary starting point, there's a definite end point for any sneeze count.
We ran three independent Markov chains for 100,000 iterations, discarded the first 5,000 iterations as a burn-in period (i.e. when the outputs are still affected by the choice of the arbitrary starting points of the chains and hence unrepresentative of the target posterior distribution), and thinned the remainder by 1 in 200.
These results were obtained from arbitrary start points in the network.
This feature of O-HARP helps avoid biases that arise from arbitrary start points of circular genomes (14% of the phages shown in Figure 6 have circular genomes – see phage details in Additional File 1).
