continuity

(noun)

Lack of interruption or disconnection; the quality of being continuous in space or time.

Related Terms

  • incompressible

Examples of continuity in the following topics:

  • Flow Rate and the Equation of Continuity

    • The equation of continuity works under the assumption that the flow in will equal the flow out.
    • The equation of continuity applies to any incompressible fluid.
    • You can observe the continuity equation's effect in a garden hose.
    • This is a consequence of the continuity equation.
    • For example, if the nozzle of the hose is half the area of the hose, the velocity must double to maintain the continuous flow.
  • Equipotential Lines

    • If charges are distributed across two conductor plates in static equilibrium, in which charges are continuous and distributed in a straight line, the equipotential lines will be approximately straight .
    • This is because the continuity of charges results in a continuity of action upon any point a certain distance from either plate.
    • This continuity is broken towards the ends of the plates, however, which causes curvature in these areas.
    • When charges are lined up and continuous on conducting plates, equipotential lines are straight between them.
  • Convergence Theorems

    • One has to be a little careful about saying that a particular function is equal to its Fourier series since there exist piecewise continuous functions whose Fourier series diverge everywhere!
    • If $f$ is piecewise continuous and has left and right derivatives at a point $c$ (A right derivative would be: $\lim _{t\rightarrow 0} (f(c+t) - f(c)) /t$ , $t>0$ .
    • If $f$ is continuous with period $2\pi$ and $f'$ is piecewise continuous, then the Fourier series for $f$ converges uniformly to $f$ .
  • Basic Map Types

    • Isoline (meaning "equal line") maps use continuous lines (sometimes called isolines or contours) to represent regional differences across a continuous surface.
    • Non-continuous cartograms are simpler.
    • Density maps depict the concentration of points across a continuous surface by joining adjacent points together and shading more concentrated clusters more darkly.
  • What is a Fluid?

    • A fluid is a substance that continually deforms (flows) under an applied shear stress.
    • A fluid is a substance that continually deforms (flows) under an applied shear stress.
  • X-Ray Diffraction

    • These XRD machines record images in two ways, either continuous scans or step scanning.
    • In continuous scans, the detector moves in circular motions around the object, while a beam of x-ray is constantly shot at the detector.
    • It is much more efficient than continuous scans.
    • To ensure that the incident beam is continuous, XRD machines are equipped with a Soller slit.
  • The Ray Aspect of Light

    • Even when passing through a material, or bouncing off of a material in a reflection, the light continues to travel in a straight line, even if that line has changed direction.
    • Direct light travel is when a ray of light starts at a source, and continues to travel from that source to its destination without encountering any interference.
    • The light will continue in a straight line or ray until it reaches the observer.
    • This is only a directional change and will continue in this new path, but still as a straight line, or ray.
  • Locating the Center of Mass

    • If the mass distribution is continuous with the density ρ(r) within a volume V, the position of COM is given as
    • If a continuous mass distribution has uniform density, which means ρ is constant, then the center of mass is the same as the center of the volume.
    • Identify the center of mass for an object with continuous mass distribution
  • Ideal Fluids

    • for a bunch of fluid; therefore, we also have a continuity equation for the entropy
    • We can use the continuity equation for particle number to simplify this further,
  • Blood Flow

    • Blood flow is the continuous running of blood through the cardiovascular system, which consists of the vessels and the heart.
    • Blood flow is the continuous running of blood through vessels in the cardiovascular system (the mammalian cardiovascular system is shown in ).
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