For a singly charged hydrogen ion, ionised at 8 kV, the resulting velocity would be X ms < sup >− 1 </ sup >.

For a genome as large as the human genome, it may take many days of CPU time on large-memory, multiprocessor computers to assemble the fragments, and the resulting assembly will usually contain numerous gaps that have to be filled in later.

For example, on Saint Lucia, harvesting mangrove for timber and clearing for fishing reduced the mangrove forests, resulting in a loss of habitat and spawning grounds for marine life that was unique to the area.

For example, structural unemployment is a form of unemployment resulting from a mismatch between demand in the labour market and the skills and locations of the workers seeking employment.

For these disciplines, the original master degree abbreviation is combined with the dr. abbreviation thus resulting in for example " dr. ir.

For more information see The Troubles in Enniskillen, which includes a list of incidents in Enniskillen during the Troubles resulting in fatalities.

For the case of a carrier modulated by a single sine wave, the resulting frequency spectrum can be calculated using Bessel functions of the first kind, as a function of the sideband number and the modulation index.

For example, injection of a flux of a liquid crystal between two close parallel plates ( viscous fingering ), causes orientation of the molecules to couple with the flow, with the resulting emergence of dendritic patterns.

For a variety of reasons, a legacy system may continue to be used, sometimes well past its vendor-supported lifetime, resulting in support and maintenance challenges.

For example, an alchemical paradigm might describe the act of wood burning as the wood " releasing its essence of elemental Fire ," while modern science would describe fire as " combustion resulting from a complex chemical reaction.

For example, in a 10 card deck, if a 7 card cut and a 4 card cut are made, that is, 7 cards are moved from the top of the deck to the bottom and then the resulting top 4 cards are also moved to the bottom, then those two consecutive cuts are equivalent to a cut the size of ( 7 + 4

For example, proverbs have been used for teaching foreign languages at various levels., In addition, proverbs have been used for public health promotion, such as promoting breast feeding with a shawl bearing a Swahili proverb “ Mother ’ s milk is sweet ”, also for helping people manage diabetes, for to combat prostitution, and for community development The most active field deliberately using proverbs is Christian ministry, where Joseph G. Healey and others have deliberately worked to catalyze the collection of proverbs from smaller languages and the application of them in a wide variety of church-related ministries, resulting in publications of collections and applications ,.

** For Australian cars same ignition maps resulting same horsepower rating as in other markets.

For f a real polynomial in x, and for any a in such an algebra define f ( a ) to be the element of the algebra resulting from the obvious substitution of a into f. Then for any two such polynomials f and g, we have that ( fg ) ( a )

For ships entering the estuary, the immediate loss of wind due to the cliffs was a particular hazard, often resulting in ships being swept onto the Doom Bar.

For example if the light source emitted white light and the two diffuse surfaces were blue, then the resulting color of the pixel is blue.

For intersexual selection to work, one sex must evolve a feature alluring to the opposite sex, sometimes resulting in a " fashion fad " of intense selection in an arbitrary direction.

For example, a rotational force applied to a shaft causing acceleration, such as a drill bit accelerating from rest, the resulting moment is called a torque.

For example, minimum wage laws raise the cost of laborers with few skills to above the market equilibrium, resulting in people who wish to work at the going rate but cannot as wage enforced is greater than their value as workers becoming unemployed.

For each choice of coefficients, the resulting convex combination is a point in the convex hull, and the whole convex hull can be formed by choosing coefficients in all possible ways.

For AMI, each mark pulse had the opposite polarity of the previous one and each space was at a level of zero, resulting in a three level signal which however only carried binary data.

For example, a constant bit rate QoS class may be provided, resulting in emulation of circuit switching.

For developing counties, Multilateral development bank would sometimes provide an additional layer of underwriting, resulting in risk being shared between the investment bank ( s ), the multilateral organisation, and the end investors.

For Britain, the Second Boer War was the longest, the most expensive (£ 200 million ), and the bloodiest conflict between 1815 and 1914, lasting three months longer and resulting in higher British casualties than the Crimean War ( 1853 – 56 ).

For this, the temperature has to be high enough to melt both the reaction products, the resulting metal and the fuel oxide.

For vector spaces over non-algebraically closed fields, we still need to find some substitute for characteristic values and vectors.

For each picture frame, the 6502 writes graphics commands for the DVG into a defined area of RAM ( the vector RAM ), and then asks the DVG to draw the corresponding vector image on the screen.

For example an absolute value is also defined for the complex numbers, the quaternions, ordered rings, fields and vector spaces.

For a vector with linear addressing, the element with index i is located at the address B + c · i, where B is a fixed base address and c a fixed constant, sometimes called the address increment or stride.

For an object with a fixed mass that is rotating about a fixed symmetry axis, the angular momentum is expressed as the product of the moment of inertia of the object and its angular velocity vector:

For any system, the following restrictions on measurement results apply, where is the reduced Planck constant and is any direction vector such as x, y, or z:

For a finite-dimensional vector space, using a fixed orthonormal basis, the inner product can be written as a matrix multiplication of a row vector with a column vector:

For a finite-dimensional vector space, the outer product can be understood as simple matrix multiplication:

For 2D vector animations, the rendering process is the key frame illustration process, while tweened frames are rendered as needed.

For example, binary string 1011 is represented by the vector ( 1, 0, 1, 1 ).

For the purposes of this article, we call this constructed vector the transmitted vector.

For a vector expressed in cylindrical coordinates as

For twisting rotation to exist, it is necessary to tilt the body sideways after takeoff, so that there is now a small component of this horizontal angular momentum vector along the body's long axis.

Malaria Foundation International states, " The outcome of the treaty is arguably better than the status quo going into the negotiations ... For the first time, there is now an insecticide which is restricted to vector control only, meaning that the selection of resistant mosquitoes will be slower than before.

For the special case, this implies that the length of a vector is preserved as well — this is just Parseval's theorem:

For a flow, the vector field Φ ( x ) is a linear function of the position in the phase space, that is,

For a more useful solution, we utilize vector identities, which work for any vector, as follows:

For example, an endomorphism of a vector space V is a linear map ƒ: V → V, and an endomorphism of a group G is a group homomorphism ƒ: G → G. In general, we can talk about endomorphisms in any category.

For any positive integer n, the set of all n-tuples of real numbers forms an n-dimensional vector space over R, which is denoted R < sup > n </ sup > and sometimes called real coordinate space.

For example, a bijective linear map is an isomorphism between vector spaces, and a bijective continuous function whose inverse is also continuous is an isomorphism between topological spaces, called a homeomorphism.