Any large, smoothbore, muzzle-loading gun — used before the advent of breech-loading, rifled guns — may be referred to as a cannon, though once standardized names were assigned to different sized cannons, the term specifically referred to a gun designed to fire a shot, as opposed to a demi-cannon-, culverin-, or demi-culverin-.

Any surplus from that production is allotted in different ways.

Any court may seek to distinguish its present case from that of a binding precedent, in order to reach a different conclusion.

Any definition which focuses on amusement leaves us unsatisfied since the feelings experienced by a world class chess player are very different from those of a circle of children playing Duck Duck Goose.

Any self-replicating mechanism which does not make a perfect copy will result in the creation of different variants and thus be subject to natural selection as the variants which are better at persisting in their environment will outlive and outreproduce variants which are not so suited to their environment.

Any given animal uses a relatively restricted set of gaits, and different species use different gaits.

Any of these procedures may be considered modifications or mutilations by different groups of people.

The criteria that is stated by the National Register of Historic Places is said to be able to be, “ interpreted in different ways so that the significance … may be subjectively argued for many cultural resources .” Another issue that arises among scholars is that, “ protection does not necessarily mean preservation .” Any public projects occurring near the cultural resource can have adverse effects.

Any given knot can be drawn in many different ways using a knot diagram.

Any number system that forms a commutative ring — for instance, the integers, the real numbers, and the complex numbers — can be extended to a wheel in which division by zero is always possible ; however, in such a case, " division " has a slightly different meaning.

Any attempts to make this schedule serial would give off two different results ( either T1's version of A / B is shown, or T2's version of A and B is shown ), and would not be the same as the above schedule.

Any object with a non-zero vertical depth will have different pressures on its top and bottom, with the pressure on the bottom being greater.

Any given set of axioms leads to a different logical system.

* Any two candidates that are in different Schwartz set components are pairwise tied with each other.

Any variations are due to different percentages of nickel or chromium.

Any individual with schizotypal personality disorder may exhibit either one of the following somewhat different subtypes ( Note that Millon believes it is rare for a personality with one pure variant, but rather a mixture of one major variant with one or more secondary variants ):

Any confusion or contradiction between the different versions of their histories is said to be the fault of the historian making an honest mistake, of the editors for removing parts which they did not consider suitable for the child audience, of the characters involved who reported the incidents in question back to the historian, or explained by the concept that many alternate versions of Oz exist simultaneously.

Any group has conflicts, topics that people do not agree on, different points of view on how to move forward with a task and so on.

A graph coloring is an assignment of one of k colors to a graph G so that the endpoints of each edge have different colors, for some number k. Any coloring corresponds to a homomorphism from G to a complete graph K < sub > k </ sub >: the vertices of K < sub > k </ sub > correspond to the colors of G, and f maps each vertex of G with color c to the vertex of K < sub > k </ sub > that corresponds to c. This is a valid homomorphism because the endpoints of each edge of G are mapped to distinct vertices of K < sub > k </ sub >, and every two distinct vertices of K < sub > k </ sub > are connected by an edge, so every edge in G is mapped to an adjacent pair of vertices in K < sub > k </ sub >.

Any other test will have a different rejection region that we define as.

Any articles which relate to both countries should be placed in both national categories in the same way as they would be if they related to two neighbouring countries with entirely different names.

Other traditions regarding the black cap exist as well, but there are no official restrictions: Any graduating student may select a black graduation cap if he / she so wishes, but it is generally frowned upon, and there is even debate about the different traditions and about who should have the right to wear the black cap.

Any interacting quantum field ( including non-interacting fields of different masses ) is polarizing the vacuum, and as a consequence its vacuum state lies inside a renormalized Hilbert space that differs from the Hilbert space of the free field.

Any coupling path can be broken down into one or more of these coupling mechanisms working together.

Any force that passes the closed path test for all possible closed paths is classified as a conservative force.

* Any two vertices in G can be connected by a unique simple path.

According to the historian of science Norwood Russell Hanson: There is no bilaterally-symmetrical, nor excentrically-periodic curve used in any branch of astrophysics or observational astronomy which could not be smoothly plotted as the resultant motion of a point turning within a constellation of epicycles, finite in number, revolving around a fixed deferent. Any path — periodic or not, closed or open — can be represented with an infinite number of epicycles.

Any variation to this stratification of temperatures will modify the path followed by the wave.

Any Hamiltonian cycle can be converted to a Hamiltonian path by removing one of its edges, but a Hamiltonian path can be extended to Hamiltonian cycle only if its endpoints are adjacent.

" Any decisive act upon the spiritual path — renunciation, ordination, initiation, the attainment of Stream Entry, and the arising of the bodhicitta — are manifestations or examples of Going for Refuge.

Any path of integration containing 0 only at its beginning, otherwise restricted to the domain of a branch of the integrand, is valid here, for example, the straight line connecting 0 and z.

Any path which brings you back to the same state that you started with is a valid siteswap, and all siteswaps can be generated this way.

* Any vehicle on a path of travel is at a state of indeterminacy until an object enters a location in the path of travel.

Let now v and w be two vertices in G. Any spanning tree contains precisely one simple path between v and w. Taking this path in the uniform spanning tree gives a random simple path.

Any tournament on a finite number of vertices contains a Hamiltonian path, i. e., directed path on all vertices ( Rédei 1934 ).

Any of these situations can leave drivers stranded in the path of the tornado far from substantial shelter.

Any time there is a close play at home plate, meaning the ball and runner reach the plate at the same time, the catcher squats in front of the plate to block a clear path.

Any choice of path connecting the top and bottom of the rectangle ( axle-to-brush in the disc ) and moving with the rectangle ( rotating with the disc ) sweeps out the same rate-of-change of flux, and predicts the same EMF.

** Any black circle along the outer border or one cell from the outer border must have a segment leading away from the border ( and those sufficiently near a corner must lead from both walls, defining the loop's path through the circle );

Any nonuniformity, such as caused by a wave front in the air at T, causes a scattered light beam to evade the screen, K2 ( path a ), and reach the film.

# Any node in D can reach any other node in D by a path that stays entirely within D. That is, D induces a connected subgraph of G.