As seen from the definition, the derived SI units of angular momentum are newton meter seconds ( N · m · s or kg · m < sup > 2 </ sup > s < sup >− 1 </ sup >) or joule seconds ( J · s ).

Let ( m, n ) be a pair of amicable numbers with m < n, and write m = gM and n = gN where g is the greatest common divisor of m and n. If M and N are both coprime to g and square free then the pair ( m, n ) is said to be regular, otherwise it is called irregular or exotic.

If ( m, n ) is regular and M and N have i and j prime factors respectively, then ( m, n ) is said to be of type ( i, j ).

For the case of a non-commutative base ring R and a right module M < sub > R </ sub > and a left module < sub > R </ sub > N, we can define a bilinear map, where T is an abelian group, such that for any n in N, is a group homomorphism, and for any m in M, is a group homomorphism too, and which also satisfies

for all m in M, n in N and t in R.

of real numbers is called Cauchy, if for every positive real number ε, there is a positive integer N such that for all natural numbers m, n > N

For example, the surface tension of distilled water is 72 dyn / cm at 25 ° C ( 77 ° F ); in SI units this is 72 x 10 < sup >− 3 </ sup > N / m or 72 mN / m.

The " N " ō-daiko, with a length of 2. 4 m, a maximum diameter of 2. 4 m, and a weight of 3 tons.

Multiplying by a linear phase for some integer m corresponds to a circular shift of the output: is replaced by, where the subscript is interpreted modulo N ( i. e., periodically ).

* The set N N of pairs of natural numbers can be made into a directed set by defining ( n < sub > 0 </ sub >, n < sub > 1 </ sub >) ≤ ( m < sub > 0 </ sub >, m < sub > 1 </ sub >) if and only if n < sub > 0 </ sub > ≤ m < sub > 0 </ sub > and n < sub > 1 </ sub > ≤ m < sub > 1 </ sub >.

Australia made a mere 63 runs in its first innings, and England, led by A. N. Hornby, took a 38-run lead with a total of 101.

where is the Boltzmann constant, T is temperature ( assumed to be a well-defined quantity ), is the degeneracy ( meaning, the number of levels having energy ; sometimes, the more general ' states ' are used instead of levels, to avoid using degeneracy in the equation ), N is the total number of particles and Z ( T ) is the partition function.

where N is the total number of individuals in the population, B is the number of births, D is the number of deaths, b and d are the per capita rates of birth and death respectively, and r is the per capita rate of population change.

Brice N. Cassenti, an associate professor with the Department of Engineering and Science at Rensselaer Polytechnic Institute, stated “ At least 100 times the total energy output of the entire world would be required for the voyage ( to Alpha Centauri )”.

According to U. N. Commission on the Limits of the Continental Shelf, the approved expansion is equal to about 82 % of Japan's total land area.

In meiosis II, an equational division similar to mitosis will occur whereby the sister chromatids are finally split, creating a total of 4 haploid cells ( 23 chromosomes, N )-two from each daughter cell from the first division ..

If μ is not a positive measure, then N is μ-null if N is | μ |- null, where | μ | is the total variation of μ ; equivalently, if every measurable subset A of N satisfies μ ( A )

Since there are N atoms in total,

If N is the total number of particles or states, the distribution of probability densities follows:

In mechanics, the virial theorem provides a general equation relating the average over time of the total kinetic energy,, of a stable system consisting of N particles, bound by potential forces, with that of the total potential energy,, where angle brackets represent the average over time of the enclosed quantity.

The total E-field due to N point charges is simply the superposition of the E-fields due to each point charge:

For example, a IEEE 802. 11n wireless router with N antennas makes it possible to communicate with N multiplexed channels, each with a peak bit rate of 54 Mbit / s, thus increasing the total peak bit rate with a factor N. Different antennas would give different multi-path propagation ( echo ) signatures, making it possible for digital signal processing techniques to separate different signals from each other.

THD + N means total harmonic distortion plus noise.

This result was difficult to understand at the time, however, because the neutron had not yet been discovered, and it was thought incorrectly that the < sup > 14 </ sup > N nucleus contains 14 protons and 7 electrons, or an odd number of ( 21 ) particles in total which would correspond to a half-integral spin.

The fleet envisioned in the Z Plan was totally incompatible with the Anglo-German Naval Agreement ( A. G. N. A ) of 1935, which limited the Kriegsmarine to 35 % of the total tonnage of the Royal Navy, which meant that A. G. N. A.

It can also be formulated in terms of the total number density N:

* Two single-celled haploid gametes, each containing N unpaired chromosomes, fuse to form a single-celled diploid zygote, which now contains N pairs of chromosomes, i. e. 2N chromosomes in total.

Ozone amounts over the continental United States ( 25 ° N to 49 ° N ) are highest in the northern spring ( April and May ).

where F is the restoring elastic force exerted by the spring ( in SI units: N ), k is the spring constant ( N · m < sup >− 1 </ sup >), and x is the displacement from the equilibrium position ( in m ).

< ul > < li >< font face =" arial " color =" red "> The red wire carries the current to be measured .</ font ></ li > < li >< font face =" arial " color =" green "> The restoring spring is shown in green .</ font ></ li > < li > N and S are the north and south poles of the magnet .</ li > </ ul >

As the form of this Hamiltonian makes clear, the N-dimensional harmonic oscillator is exactly analogous to N independent one-dimensional harmonic oscillators with the same mass and spring constant.

N. surinamensis is nocturnal and is active in the spring months.

: F is the restoring force exerted by the spring on that end ( in SI units: N or kg · m / s < sup > 2 </ sup >); and

: k is a constant called the rate or spring constant ( in SI units: N / m or kg / s < sup > 2 </ sup >).

Laying starts in spring, between mid-March and mid-May in N hemisphere temperate regions.

Laying starts in spring, between mid-March and mid-May in N hemisphere temperate regions.

The English longbow – a simple but very powerful spring made of European Yew | yew, measuring 2 m ( 6 ft 6 in ) long, with a 470 N ( 105 pound-force | lbf ) draw force

An extension or compression spring has units of force divided by distance, for example lbf / in or N / m.

The inverse of spring rate is compliance, that is: if a spring has a rate of 10 N / mm, it has a compliance of 0. 1 mm / N.

May migrate altitudinally in spring and autumn ( e. g. in N. Baluchistan or NW Pakistan ), and spreads out widely in the monsoons on creation of requisite habitats, but by and large the populations are resident.

** N. fowleri can be found in all unchlorinated bodies of fresh water in Texas except colder water, typically spring fed.

Its declination is + 47 °, making it a circumpolar for observers located above 43 ° N latitude ; it reaches high altitudes throughout the northern hemisphere making it an accessible object from the early hours in winter through the end of spring season, after which observation is hindered in lower latitudes.

In the spring, N. E. C.

These technical problems now appear to have been largely resolved through crop management practices such as fall mowing and spring harvesting that allow for leaching to occur, which leads to fewer aerosol-forming compounds ( such as K and Cl ) and N in the grass.