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Consider the graph of the equation y = 1 / x shown to the right.
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Consider and graph
Consider a function with its corresponding graph as a subset of the Cartesian product.
Consider a complete graph on R ( r − 1, s ) + R ( r, s − 1 ) vertices.
Proof of claim: Consider a graph on t vertices and colour its edges with c colours.
Consider a graph G with vertices V, each numbered 1 through N. Further consider a function shortestPath ( i, j, k ) that returns the shortest possible path from i to j using vertices only from the set
Consider a social network, where the graph ’ s vertices represent people, and the graph ’ s edges represent mutual acquaintance.
Consider a graph known to have all edges in the same component and at most two vertices of odd degree.
Consider the Ferrers graph of any partition of n into distinct parts.
Consider a network as a graph where each edge ( i. e. link ) has an associated cost of transmission, privately known to the owner of the link.
Consider the formation, one generation at a time, of the ancestor graph of all living humans with no descendants.
Consider a grid graph with r rows and c columns ; the total number n of vertices is r * c. For instance, in the illustration, r = 5, c = 8, and n = 40.
Consider a graph, with a perfect matching.
Consider the expansion of to, a maximally imperfect graph, in the sense that is a spanning subgraph of but adding an edge to will result in a perfect matching.
Consider and equation
Consider the first equation.
Consider a binary electrolyte AB which dissociates into A + and B-ions and the equilibrium state is represented by the equation:
Consider a linear differential equation with constant coefficients
Consider the following equation for the unknown variable:
Consider completing the square for the equation
Consider a simple 1D advection problem defined by the following partial differential equation
Consider the one-dimensional heat equation. The equation is
Consider a homogeneous superconductor where there is no superconducting current and the equation for ψ simplifies to:
Consider the cubic polynomial equation 4t < sup > 3 </ sup > − g < sub > 2 </ sub > t − g < sub > 3 </ sub > =
Consider the differential equation
Consider the unit circle which is described by the ordinary ( Cartesian ) equation
Consider the second-order homogeneous linear differential equation
Consider the partial differential equation
Consider the linear differential equation with a constant w. Its exact basis solutions are and.
Consider for example the equation of a circle:
Consider multiplying both sides of the equation by the differential:
Consider the second-order linear differential equation
Consider the combustion of benzene, represented by the following chemical equation:
Consider a hyperbolic system of one partial differential equation for one unknown function.
Consider a linear non-homogeneous ordinary differential equation of the form
Consider the following linear inhomogeneous differential equation:
Consider the following differential equation Lf
Consider the operator L and the differential equation mentioned in the example.
Consider and y
* Consider the set K of all functions ƒ: → satisfying the Lipschitz condition | ƒ ( x ) − ƒ ( y )| ≤ | x − y | for all x, y ∈.
#: Consider a unit sphere placed at the origin, a rotation around the x, y or z axis will map the sphere onto itself, indeed any rotation about a line through the origin can be expressed as a combination of rotations around the three-coordinate axis, see Euler angles.
Consider a point charge q with position ( x, y, z ).
Consider the ( possibly proper ) class B defined such for every set y, y is in B if and only if there is an x in A with F < sub > P </ sub >( x ) = y.
: Consider two even integers x and y.
Consider the restrictions on x < sub > 1 </ sub >, x < sub > 2 </ sub >, y < sub > 1 </ sub >, y < sub > 2 </ sub > required to make u and v form an orthonormal pair.
Consider two objects, A and B, which each refer to two memory blocks x < sub > i </ sub > and y < sub > i </ sub > ( i
Consider two even integers x and y.
Consider a three dimensional orthogonal Cartesian coordinate frame, for example a level table top with a point marked on it for the origin, and the x and y axes laid out with pencil lines.
Consider the first case, with points x = ( x < sub > 1 </ sub >, x < sub > 2 </ sub >, x < sub > 3 </ sub >) and y = ( y < sub > 1 </ sub >, y < sub > 2 </ sub >, y < sub > 3 </ sub >).
Consider a set of observations ( also called features, attributes, variables or measurements ) for each sample of an object or event with known class y.
Consider fitting a straight line for the relationship of an outcome variable y to a predictor variable x, and estimating the gradient ( slope ) of the line.
Consider a point P ( x, y ) in the corresponding plane.
Consider, for instance, the top half of the unit circle, x < sup > 2 </ sup > + y < sup > 2 </ sup > = 1, where the y-coordinate is positive ( indicated by the yellow arc in Figure 1 ).
0.409 seconds.