isocline
isoclinic line

An Isocline (a series of lines with the same slope) is often used to supplement the slope field.

An isocline is a curve through points at which the parent function's slope will always be the same, regardless of initial conditions.

In an equation of the form , the isocline is a line in the -plane plane obtained by setting equal to a constant.

By calculating this gradient for each isocline, the slope field can be visualised; making it relatively easy to sketch approximate solution curves; as in fig. 1.

In population dynamics, isocline refers to the set of population sizes at which the rate of change, or partial derivative, for one population in a pair of interacting populations is zero.

Of note, as Wright points out, is that models of biological mutualism tend to be similar qualitatively, in that the featured isoclines generally have a positive decreasing slope, and by and large similar isocline diagrams.

In common sense, refractory period is the characteristic recovery time, a period of time that is associated with the motion of the image point on the left branch of the isocline (for more details, see also Reaction-diffusion and Parabolic partial differential equation).

Billions of people have died, all animal and plant life, the birds of the air and the fishes of the sea are dead: "At the tide line a woven mat of weeds and the ribs of fishes in their millions stretching along the shore as far as eye could see like an isocline of death."

Contour lines along which the dip measured at the Earth's surface is equal are referred to as isoclinic lines.

Whiston produced one of the first Isoclinic line maps of southern England in 1719 and 1721 .

In population dynamics and in geomagnetics, the terms isocline and isoclinic line have specific meanings which are described below.

An isoclinic line connects points of equal magnetic dip, and an aclinic line is the isoclinic line of magnetic dip zero.