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Degeneracy in transportation problem?
Degeneracy in a transport problem arises when the number of occupied cells is less then: (number of columns + number of rows)-1
How to overcome degeneracy in transportation problem?
To overcome degeneracy in a transportation problem, one common approach is to introduce a small positive epsilon value to the supply or demand values, ensuring that all basic variables are positive. Alternatively, the Modified Distribution Method (MODI) can be used to identify and adjust the solution, allowing for a feasible solution without degeneracy. Ensuring that there are enough routes or allocations can also help in resolving any issues that arise from degeneracy.
When do degeneracy in trasport problem occur?
Degeneracy in transportation problems occurs when there are redundant allocations or when there is more than one optimal solution with the same cost. It can make solving the problem more complex and may require additional computational effort to resolve.
How does degeneracy pressure differ from thermal pressure in terms of their effects on the stability and behavior of a stellar object?
Degeneracy pressure and thermal pressure are two forces that support stellar objects against gravitational collapse. Degeneracy pressure arises from the quantum mechanical properties of particles, while thermal pressure comes from the temperature of the object. Degeneracy pressure is independent of temperature and increases as the object's mass increases, leading to stability in massive stars. Thermal pressure, on the other hand, depends on temperature and tends to decrease as the object cools, potentially leading to instability. In summary, degeneracy pressure is more important for the stability of massive stars, while thermal pressure is more significant for lower-mass stars.
What is degeneracy in linear programing problem?
the phenomenon of obtaining a degenerate basic feasible solution in a linear programming problem known as degeneracy.
Is this true or false brown dwarfs white dwarfs and neutron stars are all kept from collapsing by degeneracy pressure?
True. Brown dwarfs, white dwarfs, and neutron stars are all supported against collapse by degeneracy pressure, which is a quantum mechanical effect that arises when particles are packed densely together and cannot occupy the same quantum state. This pressure prevents further gravitational collapse and supports the star against its own gravity.
How to calculate the degeneracy of a system?
To calculate the degeneracy of a system, you need to count the number of ways the system can be arranged while still maintaining the same energy level. This involves considering the different possible configurations or states that the system can exist in. The degeneracy is a measure of the multiplicity of these states.
What is exchange degeneracy in quantum mechanics?
Exchange degeneracy in quantum mechanics refers to the phenomenon where multiple particles with the same properties (such as electrons in an atom) are indistinguishable from each other, leading to the degeneracy of energy levels. This occurs due to the symmetric nature of the wavefunctions describing the particles, which do not change if the particles are exchanged. Exchange degeneracy plays a crucial role in determining the structure and properties of atoms, molecules, and other quantum systems.
What is spin degeneracy?
Spin degeneracy refers to the multiple possible configurations of electron spin in a given energy level in an atom. Each electron in an atom can have one of two spin orientations, either +1/2 or -1/2. This results in a spin degeneracy of two for each energy level.
Who came up with the degeneracy theory?
The degeneracy theory was proposed by George G. Simpson in 1944. Simpson suggested that evolution could lead to the retention of non-functional traits or "degenerate" characteristics in a species.
How to calculate the degeneracy of energy levels in a physical system?
To calculate the degeneracy of energy levels in a physical system, you need to count the number of ways that a particular energy level can be achieved. This involves considering the different possible configurations or arrangements of particles within the system that result in the same energy. The degeneracy is then determined by the total number of these distinct configurations.
What keeps white dwarf from collapsing under its own weight?
A white dwarf star, as well as any other stable variety of star,is held together by the pressure popularly known as "gravity".In the opposite direction, white dwarf stars are kept from collapsing completely by degeneracy pressure. Specifically, for white dwarf stars, it's electron degeneracy pressure, which arises from the fact that electrons are fermions and cannot all occupy the same energy state. For higher mass stars, the force of gravity is able to overcome this and push all the electrons into the ground state, and the star is supported by a different kind of degeneracy ... neutron degeneracy, which is the same thing but with neutrons ... and you get a neutron star. At even higher masses, even that isn't sufficient and the star collapses all the way into a black hole.
