degenerate

Examples of degenerate in the following topics:

• Types of Conic Sections

  • Each shape also has a degenerate form.
  • The degenerate form of the circle occurs when the plane only intersects the very tip of the cone.
  • The degenerate form of an ellipse is a point, or circle of zero radius, just as it was for the circle.
  • The other degenerate case for a hyperbola is to become its two straight-line asymptotes.
  • It also shows one of the degenerate hyperbola cases, the straight black line, corresponding to infinite eccentricity.

• Regeneration of Nerve Fibers

  • When an axon is damaged, the distal segment undergoes Wallerian degeneration, losing its myelin sheath.
  • After injury, the proximal end swells and experiences some retrograde degeneration, but once the debris is cleared, it begins to sprout axons and the presence of growth cones can be detected.
  • The distal segment, however, experiences Wallerian degeneration within hours of the injury; the axons and myelin degenerate, but the endoneurium remains.
  • During Wallerian degeneration, Schwann cells grow in ordered columns along the endoneurial tube.
  • Slower degeneration of the distal segment than that which occurs in the peripheral nervous system also contributes to the inhibitory environment; inhibitory myelin and axonal debris are not cleared away as quickly.

• The Third Law of Thermodynamics and Absolute Energy

  • An example of a system which does not have a unique ground state is one containing half-integer spins, for which there are two degenerate ground states.
  • In addition, glasses and solid solutions retain large entropy at absolute zero, because they are large collections of nearly degenerate states, in which they become trapped out of equilibrium.
  • Materials that remain paramagnetic at absolute zero, by contrast, may have many nearly-degenerate ground states, as in a spin glass, or may retain dynamic disorder, as is the case in a spin liquid.

• Conic Sections

  • In modern geometry, certain degenerate cases—such as the union of two lines—are included as conics as well.
  • In the Cartesian coordinate system, the graph of a quadratic equation in two variables is always a conic section—though it may be degenerate—and all conic sections arise in this way.

• Amyotrophic Lateral Sclerosis

  • Amyotrophic lateral sclerosis (ALS) is caused by degeneration of upper and lower motor neurons, resulting in muscle weakness and atrophy.
  • The disorder causes muscle weakness and atrophy throughout the body as a result of degeneration of the upper and lower motor neurons.
  • Symptoms of lower motor neuron degeneration include muscle weakness and atrophy, muscle cramps, and fleeting twitches of muscles that can be seen under the skin (fasciculations).

• Female Hormones

  • The follicles that did not rupture degenerate and their eggs are lost.
  • The level of estrogen decreases when the extra follicles degenerate.
  • If no fertilized egg is implanted into the uterus, the corpus luteum degenerates and the levels of estrogen and progesterone decrease.
  • The endometrium begins to degenerate as the progesterone levels drop, initiating the next menstrual cycle.

• Basal Ganglia

  • The most notable are Parkinson's disease, which involves degeneration of the melanin-pigmented dopamine-producing cells in the substantia nigra pars compacta (SNc), and Huntington's disease, which primarily involves damage to the striatum.
  • Basal ganglia dysfunction is also implicated in some other disorders of behavior control such as the Tourette's syndrome, ballismus (particularly hemibalismus), obsessive–compulsive disorder (OCD), and Wilson's disease (Hepatolenticular degeneration).

• Problems

  • Let us assume that the star accretes pure helium, that the temperature of the degenerate layer is constant down to the core ($T_c$), how much luminosity emerges from the surface of the star?

• Conic Sections in Polar Coordinates

  • In modern geometry, certain degenerate cases, such as the union of two lines, are included as conics as well.

• Capacity of Different Tissues for Repair

  • The distal segment, however, experiences Wallerian degeneration within hours of the injury; the axons and myelin degenerate, but the endoneurium remains.
  • Slower degeneration of the distal segment than that which occurs in the peripheral nervous system also contributes to the inhibitory environment because inhibitory myelin and axonal debris are not cleared away as quickly.