For a two-dimensional array, the element with indices i, j would have address B + c · i + d · j, where the coefficients c and d are the row and column address increments, respectively.

For example, a similar geometric system was published in 1987 by Kjell Gustafson, whose method represents a rhythm as a two-dimensional graph.

For convenience, pixels are normally arranged in a regular two-dimensional grid.

For example, Girih tiles in a medieval Islamic mosque in Isfahan, Iran, are arranged in a two-dimensional quasicrystalline pattern.

For example, the surface of the Earth is ( ideally ) a two-dimensional sphere, and latitude and longitude provide two-dimensional coordinates on it ( except at the poles and along the 180th meridian ).

For a simple visual explanation of a wormhole, consider spacetime visualized as a two-dimensional ( 2D ) surface.

For two-dimensional signals, e. g., images, the spectrum is reciprocal to f < sup > 2 </ sup >.

For two-dimensional rotational motion, Newton's second law can be adapted to describe the relation between torque and angular acceleration:

For example, is a meromorphic function on the two-dimensional complex affine space.

For a two-dimensional surface, the Bianchi identities imply that the Riemann tensor can be expressed as

For example, atmospheric cyclones are rotational but their substantially two-dimensional shapes do not allow vortex generation and so are not turbulent.

For example, the ordinary generating function of a two-dimensional array a < sub > m, n </ sub > ( where n and m are natural numbers ) is

For instance, a "< big > b </ big >" and a "< big > d </ big >" have a different shape, at least when they are constrained to move within a two-dimensional space like the page on which they are written.

For example, in the two-dimensional case, the normal line to a curve at a given point is the line perpendicular to the tangent line to the curve at the point.

For convex two-dimensional shapes, the centroid can be found by balancing the shape on a smaller shape, such as the top of a narrow cylinder.

For example, a monatomic gas with a fixed number of particles is a simple case of a two-dimensional system ().

For instance, in the BF model, the spacetime is a two-dimensional manifold M, the observables are constructed from a two-form F, an auxiliary scalar B, and their derivatives.

For a two-dimensional flow the vorticity acts as a measure of the local rotation of fluid elements.

For a two-dimensional analysis a plane stress or a plane strain condition can be assumed.

For example, Kahane uses Cantor sets to construct a Besicovitch set of measure zero in the two-dimensional plane.

For such models, economists often use two-dimensional graphs instead of functions.

For example, a two-dimensional real torus has a SL ( 2, Z ) group of large diffeomorphisms by which the one-cycles of the torus are transformed into their integer linear combinations.

For the graph of a two-dimensional function, this corresponds to a point on the graph where the tangent plane is parallel to the xy plane.

For Mr. Kennedy, speaking softly and carrying a sizable stick is making the best of a bad situation.

For example, civil law can be clearer than case law when the legislature has had the foresight and diligence to address the precise set of facts applicable to a particular situation.

For this reason, some theorists have argued that consequentialist theories can only require agents to choose the best action in line with what they know about the situation.

For the world capacity to produce cement in 2010, the situation was similar with the top three states ( China, India, and USA ) accounting for just under half the world total capacity.

For the most part it was a no-win situation for Rome.

For example, suppose a and b are two sensible objects in a certain situation of affairs.

For Husserl a sentence has a proposition or judgment as its meaning, and refers to a state of affairs which has a situation of affairs as a reference base.

For a situation where the traffic to be handled is completely new traffic, the only choice is to try to model expected user behavior, estimating active user population, N, expected level of use, U ( number of calls / transactions per user per day ), busy-hour concentration factor, C ( proportion of daily activity that will fall in the busy hour ), and average holding time / service time, h ( expressed in minutes ).

For example, the case described in degree 4 vertex situation is the configuration consisting of a single vertex labelled as having degree 4 in G. As above, it suffices to demonstrate that if the configuration is removed and the remaining graph four-colored, then the coloring can be modified in such a way that when the configuration is re-added, the four-coloring can be extended to it as well.

For a decade, the nation was divided between " dreyfusards " and " anti-dreyfusards ", and far-right Catholic agitators inflamed the situation even when proofs of Dreyfus's innocence came to light.

For different situations and / or number of particles, the Hamiltonian is different since it includes the sum of kinetic energies of the particles, and the potential energy function corresponding to the situation.

For N interacting particles, i. e. particles which interact mutually and constitute a many-body situation, the potential energy function V is not simply a sum of the separate potentials ( and certainly not a product, as this is dimensionally incorrect ).

For example, it would be an unfair situation to reward the entire team for a job well done if only one team member did the great majority of the work.

For example, in a situation where speaking truth would lead to violence, it would be perfectly moral to remain silent ( for you are neither being untrue, nor causing violence by way of truth )

For instance, when a player has a small pocket pair he may raise a large amount simply to knock out other players because typically a small pocket pair is about 50 – 60 % likely to win an all-in pot in a heads up situation, but less likely when facing multiple opponents.

For instance, the immediate post-war situation had required " centralist and directive-administrative methods " to fight against the " remnants of the bourgeoisie.

For example, consider a situation in which a father and his son are driving down the road.

For a woman to have sexual relations when she is married to another ( which would include a situation such as polyandry ) would constitute adultery.

For example, he pointed out that Adolf Hitler was a consummate and superb politician due especially to his charisma and oratorical skills but reached his " level of incompetence " as commander-in-chief of the Wehrmacht because of the rigidity of his decision making ( not allowing retreats when necessary according to the tactical situation ).

For example, when deficient knowledge is applied to a situation, a knowledge risk materializes.

For years, the black community had complained that the situation was unfair.

For a period, the situation continued to worsen.

For Marxists, class antagonism is rooted in the situation that control over social production necessarily entails control over the class which produces goods — in capitalism this is the exploitation of workers by the bourgeoisie.

" For Buber man must master, withstand and alter his situation, or even leave it, " but the fugitive flight out of the claim of the situation into situationlessness is no legitimate affair of man.