Temperature is generally considered to be continuous. However, at the particle level of physics ,energy is believed to be made of discrete particles, so in actuality temperature may not be continuous but jumps in quantum amounts when temperature changes.
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flash point
Magnetic field lines are not a real observable thing, they are a tool used in physics to picture magnetic fields. A magnetic field is a continuous entity; it has no discrete force lines.
Endocardium
A continuous Spectrum