Sentence examples for below the graph of from inspiring English sources

It follows from the concavity of that each point on the chard between and is below the graph of, thus (2.7) then (2.8) this means for   (ii).

It follows from the concavity of (y(t)) that each point on chord between ((tau, y tau))) and ((1, y(1))) is below the graph of (y(t)).

It follows from the concavity of that each point on the chard between and is below the graph of, thus (2.7).

for all x ∈ I{c}, i.e., the line through (c, φ(c)) having slope m c is always below or on (resp. below) the graph of φ.

It follows from the concavity of ( T λ h u ) ( t ) on [ 0, θ ] that each point on the chord between ( 0, ( T λ h u ) ( 0 ) ) and ( θ, ( T λ h u ) is below the graph of ( T λ h u ) ( t ) on [ 0, θ ].

Lemma 3.4 Let f : I → R be a function, and let C ( c, f ( c ) ) be a point of the graph of f with c ∈ I 0. If there exists a line that passes through the point C below the graph of f, then the function f satisfies the inequality f ( ∑ i = 1 n p i x i ) ≤ ∑ i = 1 n p i f ( x i ) (3.10).

The image entered below is the graph of the model that is being prepared for the purpose of shale gas evaluation with project-opted values for the shale gas field.

By the concavity of, the points of the graph of are below or on the ray from through for all, and therefore (2.1).

Below, the graphs show the number of apps available on a particular platform at a particular point in time, and the number of devices shipped for that platform in the quarter just preceding it.

The polynomial in Fig. 8a (peak demand export sales) is convex upwards (or concave downwards) given the dotted line that connects the two ends of graph is below the graph while the polynomial in Fig. 8b (peak demand Umeme sales) is convex downwards (or concave upwards) given the dotted line that connects the two ends of graph is above the graph.

Below is a graph of the flow rates recorded for the first hour of the reaction of each sample at equimolar concentrations.