using contraction and expansion
Many infinite sets appear in mathematics: the set of counting numbers; the set of integers; the set of rational numbers; the set of irrational numbers; the set of real numbers; the set of complex numbers. Also, certain subsets of these, such as the set of square numbers, the set of prime numbers, and others.
The validity or invalidity of a function are not abstract but depend on its domain and codomain or range. If for any point, A, in the domain there is a unique point, B, in the range such that f(A) = B then the function is valid at A. The validity of a function can change from point to point. For example, f(x) = sqrt(x) is not a function from the set of Real Numbers to the set of Real Numbers because any negative number in the domain is not mapped to any value in the range. This can be corrected either by changing the domain to the set of non-negative Real Numbers or (if you are a more advanced mathematician) change the range to the set of Complex Numbers. Similarly the reciprocal function, f(x) = 1/x is valid everywhere except for x = 0. Or f(x) = tan(x) is valid except for x = 90+k*180 degrees for all integer values of k - so it is not valid at an infinite number of points.
electrical engineers and quantum mechanics use them.
In a certain sense, the set of complex numbers is "larger" than the set of real numbers, since the set of real numbers is a proper subset of it.
Quantum numbers specify the orbitals in an atom. The set of numbers that cannot occur is n=3,I=3, m(sub)I=2 because there are no F-orbitals.
(2,1,-1,-1/2)
What are the quantum numbers of Br?
Pauli's exclusion principle
4, 2, -2
from Max Planck's theory, quantum numbers are units of energy.
All four quantum numbers i.e principle ,azimuthal or subsidiary, magnetic and spin quantum numbers are required to specify a single atomic orbital.
no because L cannot equal n. L = (n-1)
(3,2,-1,-1/2)
Quantum numbers are a set of 4 imaginary numbers which explain the position and spin of electrons in an atom it can not explain an atom as a whole Iodine has 53 electrons so there are 53 sets of quantum numbers for Iodine.The above is correct. Assuming you meant to ask for the quantum numbers for the last electron added to Iodine, that would be n=5, l=1, m=0, s=1/2.
http://en.wikipedia.org/wiki/Quantum_number
Assuming you mean the set of quantum number describing the VALENCE electrons of aluminum, they would ben = 3l = 1ml = -1s = +1/2Of course, since Al has only 1 p electron, ml could also have been 0 or +1 and s could have been -1/2