For a time the President received hundreds of them every day, most of them worthless.

For every rude word of Mr. Banks's the family had five in apology.

For every person on Taiwan, there are sixty in Mainland China.

For added strength, I also fastened a small block on each side of every frame and batten joint.

For those who put their trust in Him He still says every day again: `` Let there be light ''!!

For every criterion which defines what something is, at the same time proclaims -- implicitly if not openly -- what that something is not.

For new galaxies to be created, Professor Bondi declares, it would only be necessary for a single hydrogen atom to be created in an area the size of your living room once every few million years.

For some reason, this ellipsis in the conversation spread until it swallowed up every other topic.

For example, " biweekly " can mean " fortnightly " ( once every two weeks – 26 times a year ), or " twice a week " ( 104 times a year ).

** Tarski's theorem: For every infinite set A, there is a bijective map between the sets A and A × A.

** For every non-empty set S there is a binary operation defined on S that makes it a group.

For example, if we abbreviate by BP the claim that every set of real numbers has the property of Baire, then BP is stronger than ¬ AC, which asserts the nonexistence of any choice function on perhaps only a single set of nonempty sets.

For Tarrou, plague is the destructive impulse within every person, the will and the capacity to do harm, and it is everyone's duty to be on guard against this tendency within themselves, lest they infect someone else with it.

For every group G there is a natural group homomorphism G → Aut ( G ) whose image is the group Inn ( G ) of inner automorphisms and whose kernel is the center of G. Thus, if G has trivial center it can be embedded into its own automorphism group.

For Hume, every effect only follows its cause arbitrarily — they are entirely distinct from one another.

Professor Henry Higgins sings, " Look at her, a prisoner of the gutters / Condemned by every syllable she utters / By right she should be taken out and hung / For the cold-blooded murder of the English tongue.

For every 100 females there were 91. 4 males.

For every 100 females age 18 and over, there were 87. 4 males.

For every 100 females there were 105. 6 males.

For every 100 females age 18 and over, there were 97. 5 males.

For example, the division example above is surjective ( or onto ) because every rational number may be expressed as a quotient of an integer and a natural number.

For example, the BBC website, which had previously been called BBC Online, took on the BBCi brand from 2001, displaying an i-bar across the top of every page, offering a category-based navigation: Categories, TV, Radio, Communicate, Where I Live, A-Z Index, and a search.

For every 100 females there are 95. 6 males.

For every 100 females age 18 and over, there were 94. 7 males.

For example, in the Schrödinger picture, there is a linear operator U with the property that if an electron is in state right now, then in one minute it will be in the state, the same U for every possible.

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.