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 example, the spelling of the Thai word for " beer " retains a letter for the final consonant " r " present in the English word it was borrowed from, but silences it.

For the case of an object that is small compared with the radial distance to its axis of rotation, such as a tin can swinging from a long string or a planet orbiting in a circle around the Sun, the angular momentum can be expressed as its linear momentum,, crossed by its position from the origin, r. Thus, the angular momentum L of a particle with respect to some point of origin is

For r = 0,

For any real numbers x, r > 0, one has

For example, some people pronounce ( meaning " fish ") as, the " r " is dropped and the vowel begins by dipping much lower in tone than standard speech and then rises, effectively doubling its length.

For trajectories other than circular motion, for example, the more general trajectory envisioned in the image above, the instantaneous center of rotation and radius of curvature of the trajectory are related only indirectly to the coordinate system defined by u < sub > ρ </ sub > and u < sub > θ </ sub > and to the length | r ( t )|

For P < sub > r </ sub >< 1 and T < sub > r </ sub >< 1, the system is in a state of vapor-liquid equilibrium.

For example, if a < b, the initial quotient q < sub > 0 </ sub > equals zero, and the remainder r < sub > 0 </ sub > is a.

For s-polarization, a positive r or t means that the electric fields of the incoming and reflected or transmitted wave are parallel, while negative means anti-parallel.

For p-polarization, a positive r or t means that the magnetic fields of the waves are parallel, while negative means anti-parallel.

( For example, in spherical coordinates, let radius r go to R² / r where R is the Earth's radius.

For a " well-behaved " set X, the Hausdorff dimension is the unique number d such that N ( r ) grows as 1 / r < sup > d </ sup > as r approaches zero.

For r =-1, 1 and 2 we have the harmonic, the arithmetic and the quadratic means respectively.

For instance, beginning at ( approximately 3. 83 ) there is a range of parameters r which show oscillation among three values, and for slightly higher values of r oscillation among 6 values, then 12 etc.

For a boost in an arbitrary direction with velocity v, it is convenient to decompose the spatial vector r into components perpendicular and parallel to v:

For any set I and any set of nonnegative r < sub > i </ sub >, define:

For any luminosity from a given distance L ( r ) N ( r ) proportional to r < sup > a </ sup >, is infinite for a ≥ − 1 but finite for a < − 1.

For any natural number n, an " n-sphere ," often written as S < sup > n </ sup >, is the set of points in ()- dimensional Euclidean space which are at a fixed distance r from a central point of that space, where r is, as before, a positive real number.