For example, the converse to the theorem that two right angles are equal angles is the statement that two equal angles must be right angles, and this is clearly not always the case.

For the implication P → Q, the converse is Q → P. For the categorical proposition All S is P, the converse is All P is S. In neither case does the converse necessarily follow from the original statement.

For more general conditions under which the converse is valid see.

For example, most software designed for Microsoft Windows XP does not run on Microsoft Windows 98, although the converse is not always true.

For four years the program, known then as the Philanthropic Roundtable, held occasional meetings where representatives of foundations and charities could converse with scholars and journalists about the way professional philanthropy was conducted in the U. S. It also published a bimonthly newsletter, Philanthropy ; offered member organizations a talent bank for hiring young staffers from its list of recent college graduates ( almost all of whom had worked at conservative college newspapers partially funded by IEA ); and conducted a " project development service " that assisted members " in examining their own programs ... to foster innovative programming.

* For Hausdorff spaces a cofibration is a closed inclusion ( injective with closed image ); for suitable spaces, a converse holds

For this reason, examination of test results for a possible ceiling effect, and the converse floor effect, is often built into the validation of instruments such as those used for measuring quality of life.

For example, during a pilgrimage, members of an upper class and members of a lower class might mix and converse as equals, when in normal life they would rarely converse at all or their conversation might be limited to giving or receiving orders.

For any reduced free group, and, in particular, for any free group, the converse also holds — every fully characteristic subgroup is verbal.

For the case of a purely inertial autonavigator consisting of three restrained gyros, a coordinate system is used where the sensitive axis of the X accelerometer is parallel to the east-west direction at the base point, and the Y accelerometer sensitive axis is parallel to the north-south direction at the base point.

For most of the 25 years the operation was under feminine direction.

For ships, a kedge may be dropped while a ship is underway, or carried out in a suitable direction by a tender or ship's boat to enable the ship to be winched off if aground or swung into a particular heading, or even to be held steady against a tidal or other stream.

For the simple case where the direction of the light beam along the line SE is perpendicular to the motion of the observer then only light emitted at an angle equal to the arc cosine of the ratio of the observer's speed to the speed of light will reach the telescope.

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 example, a good crosscourt sliced dropshot will use a hitting action that suggests a straight clear or smash, deceiving the opponent about both the power and direction of the shuttlecock.

For delocalized states, for example in one dimension – that is in a nanowire, for every energy there is a state with electrons flowing in one direction and another state with the electrons flowing in the other.

For a net current to flow, more states for one direction than for the other direction must be occupied.

For example, reversing the current direction in a Daniell galvanic cell would produce an electrolytic cell, where the copper electrode is the positive terminal and the anode.

* Antiphase boundaries occur in ordered alloys: in this case, the crystallographic direction remains the same, but each side of the boundary has an opposite phase: For example, if the ordering is usually ABABABAB, an antiphase boundary takes the form of ABABBABA.

For light, we can often neglect one direction if the diffracting object extends in that direction over a distance far greater than the wavelength.

( For example, in computations, it is often convenient to only implement a fast Fourier transform corresponding to one transform direction and then to get the other transform direction from the first.

For electrical systems which use alternating current the electrodes are the connections from the circuitry to the object to be acted upon by the electric current but are not designated anode or cathode since the direction of flow of the electrons changes periodically, usually many times per second.

For molecules of a liquid to evaporate, they must be located near the surface, be moving in the proper direction, and have sufficient kinetic energy to overcome liquid-phase intermolecular forces.

For skaters who rotate in a counterclockwise direction, a spin on the left foot is called a forward spin, while a spin on the right foot is called a back spin.

For this reason, astronomical position determination – measuring the direction of the plumbline by astronomical means – works fairly well provided an ellipsoidal model of the figure of the Earth is used.

For research purposes, a " group " has been defined as " a collection of individuals that are less than a kilometre apart and moving in the same general direction.

For Hitler, his position was opposed to the direction of the " socialist " wing, stating it would mean " political bolshevization of Germany ".

For comparison, woven garments stretch mainly along one direction ( the bias ) and are not very elastic, unless they are woven from stretchable material such as spandex.

For example, when a thin polymer coating ( usually a polyimide ) is spread on a glass substrate and rubbed in a single direction with a cloth, it is observed that liquid crystal molecules in contact with that surface align with the rubbing direction.

For a while he was content to let events develop in their good time.

For each i, let Af.

For a moment he thought of going into Crosson's office to explain that he had to leave, but there was now such a pain in his chest, such a pounding in his head, that he decided to let it go.

For one whole week he never let her stay alone.

For example, after having established that the set X contains only non-empty sets, a mathematician might have said " let F ( s ) be one of the members of s for all s in X.

For example, if the water is 25 ft ( 8 m ) deep, and the anchor roller is 3 ft ( 1 m ) above the water, the scope is the ratio between the amount of cable let out and 28 ft ( 9 m ).

For the blood of Lenin and Uritsky … let there be floods of blood of the bourgeoisie – more blood, as much as

For systems where the volume is preserved by the flow, Poincaré discovered the recurrence theorem: Assume the phase space has a finite Liouville volume and let F be a phase space volume-preserving map and A a subset of the phase space.

For example, let A be the set of integers, and let two elements of A be related if they are both even numbers.

For example, let Phil ( a ) assert that a is a philosopher and let Schol ( a ) assert that a is a scholar.

For example, let n be significantly less than 2 < sup > b </ sup >.

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

" For this, Heaven inflicted upon him kidney stones, painful flatulence, and other gastric problems, saying, " Since he showed no pity, let us bring suffering upon him ".

'" For this, Heaven removed the gastric problems from him, saying, " Since he has shown compassion, let us be compassionate with him ".

For a discrete probability function f ( y ), let y < sub > i </ sub >, i = 1 to n, be the points with non-zero probabilities indexed in increasing order ( y < sub > i </ sub > < y < sub > i + 1 </ sub >).

For instance, for each n ∈ N, let

For 37 years beginning in 1967, Albert was the voice of the New York Knicks on radio and television ( getting his start by being a ball boy for the Knicks before getting his first break on New York radio by sportscaster Marty Glickman ) before being let go by the chairman of the MSG Network and Cablevision after Albert criticized the Knicks ' poor play on-air in 2004.

Then N < sub > x </ sub > is a directed set, where the direction is given by reverse inclusion, so that S ≥ T if and only if S is contained in T. For S in N < sub > x </ sub >, let x < sub > S </ sub > be a point in S. Then ( x < sub > S </ sub >) is a net.

For example, let < code > E < sub > 1 </ sub >()</ code > and < code > E < sub > 2 </ sub >()</ code > be two encryption functions, and let "" be the message so that if Alice encrypts it using < code > E < sub > 1 </ sub >()</ code > and sends < code > E < sub > 1 </ sub >( M )</ code > to Bob.

For an arbitrary ring, let be the underlying additive group.

Epic agreed to let them produce their first live album, Live: You Get What You Play For, which was certified platinum.