Sentence examples for sequence of value from inspiring English sources

It follows that 0 ≤ ϕ ( x n ) − ϕ ( x n + 1 ), ∀ n ∈ N. Thus ϕ ( x 1 ) ≥ ϕ ( x 2 ) ≥ ⋯ ≥ ϕ ( x n ) ≥ ϕ ( x n + 1 ) ≥ ⋯ > 0, and then the sequence of value ϕ ( x n ) is decreasing and bounded below, which implies that { ϕ ( x n ) } is a convergent sequence in ℝ, that is, a Cauchy sequence.

A long, uninterrupted sequence of '0' value were found in each peak region in the average spectrum provides us the cut-off proximity for lower boundary between peak regions.

A random variable that may assume only a finite number or an infinite sequence of values is said to be discrete; one that may assume any value in some interval on the real number line is said to be continuous.

Programming commands are related to feedback control in an automated system in that the program establishes the sequence of values for the inputs (set points) of the various feedback control loops that make up the automated system.

The sequence of values of pitch(i) form a column of a piano roll.

Time-series analysis on the other hand models the data as an ordered sequence of values.

The following result provides an upper estimate for the sequence of values (d_{n}).

It is seen that cyclically iterating this procedure originates a sequence of values of GEE ̂ ( n ) which is non-decreasing.

This is used to determine the sequence of values of the "tool centre point" for defining the desired trajectory of the robot-end-effector.

The method proposed generates without trial-and-error a family of solutions depending on a sequence of values of a parameter under consideration, e.g. reflux ratio, side-stream flows, condenser duty etc.

A common approach for obtaining approximate solutions to (BP ε ) is often accompanied by solving (QP λ ) for a decreasing sequence of values of λ [16].