Note that the set-theoretic union, in some contexts closely related to logical disjunction ( or ), is used here for sets of statements in such a way that it is more related to logical conjunction ( and ).

Note that these properties are also satisfied if " interior ", " subset ", " union ", " contained in ", " largest " and " open " are replaced by " closure ", " superset ", " intersection ", " which contains ", " smallest ", and " closed ", respectively.

Note the dark blue colour and the correct proportions of the union badge in Swedish flags.

Note that in object-oriented programming languages, such as Java, a disjoint union can be expressed by designing class hierarchies.

Note the trade union badge on the right breast.

* Note that the space of rational numbers with the usual topology inherited from the reals is not a Baire space, since it is the union of countably many closed sets without interior, the singletons.

Note that the result here ( also shown dashed ) is not a simple cycle but an edge-disjoint union of two simple cycles.

Note that if A and B are disjoint subsets of some weighted set ( U, w ), then the Dirichlet series for their ( disjoint ) union is equal to the sum of their Dirichlet series:

Note: Every cyclic permutation of definition type 3 may be seen as an union of a cyclic permutation of definition type 2 and some fixed points.

Pruning when there's a collarless union: Note there's no swollen area where the branch joins the trunk, this is known as a collarless union, cut at a mirror angle to the BBR ( branch bark ridge )

Note, however, that in both rugby sevens ( usually, but not always, played under union rules ) and rugby league nines, conversions may only take place as drop kicks.

of G as a disjoint union of double cosets of B parameterized by the elements of the Weyl group W. ( Note that although W is not in general a subgroup of G, the coset wB is still well defined.

Note: Delhi is no longer a union territory

Note that unlike possibility, fuzzy logic is compositional with respect to both the union and the intersection operator.

Note, however, that an incestuous relationship between one or two non-Jews cannot produce a mamzer, and if the product of such a union were to convert he or she would be the equal of any Jew ( Shulhan Arukh Even haEzer 4: 21 ).

Note that the set of ∞- Borel sets may not actually be closed under wellordered union ; see below.

Note that the mass scale is one to two orders of magnitude greater than some previously used ; ;

Note the use of zero at the beginning an end of the two cycles.

Note the gravitational lens ing effect, which produces two enlarged but highly distorted views of the Cloud.

Note that after calling, we are left with a function that takes a single argument and returns another function, not a function that takes two arguments.

Note that the result of partial function application in this case is a function that takes two arguments.

Note that positions on a surface in navigation use latitude and longitude in a similar two dimensional system.

Note, however, that it is acceptable to define two relative terms in respect of each other.

Note however that working with the current two form itself and the exterior derivative is usually easier than working with the vector field and divergence, because unlike the divergence, the exterior derivative commutes with a change of ( curvilinear ) coordinate system.

Note the two Danish flags.

Note that-is a long syllable, u a short syllable, and U either one long or two shorts:

Note: Any nonlinear electronic block driven by two signals with frequencies f < sub > 1 </ sub > and f < sub > 2 </ sub > would generate intermodulation ( mixing ) products.

Note: In the following discussion, only one or two common pronunciations of American and British English varieties are used in this article for each word cited.

( Note: On most location-based television shows, there will be two Assistant Location Managers that alternate episodes, allowing one to prep an upcoming episode while the other is on-set with the current one.

Note that reflection by a window is from the front side as well as the back side, and that some of the light bounces back and forth a number of times between the two sides.

Note that with this definition, two elements a and b may very well have several greatest common divisors, or none at all.

For future editions of the book, in 1917 Conrad wrote an " Author's Note " where he discusses each of the three stories, and makes light commentary on the character Marlow-the narrator of the tales within the first two stories.

Note that the dipole – dipole interaction between two atoms is usually zero, because atoms rarely carry a permanent dipole.

Note that the two-sample test checks whether the two data samples come from the same distribution.

Note that there is no contradiction among these two results ; both computations are correct.

Note: In cases where the optical design of a microscope produces an appreciable lateral separation of the two beams we have the case of classical interference microscopy, which does not result in relief images, but can nevertheless be used for the quantitative determination of mass-thicknesses of microscopic objects.

( Note: there are two closely related equations which are called Faraday's law.

Note that Karachentsev divides this group into two subgroups centered around IC 342 and Maffei 1.

Note that in this model, the two fission fragments are the same size.

Note two hydroxyl (- OH ) groups attached to the D ring ( rightmost ring ).

Note the intersection of the two circles — the distinction between short a, i and u is made by both speakers, but Arabic lacks the mid articulation of short vowels, while Hebrew lacks the distinction of vowel length.