When having legal status recognized, or defined in law, as in ancient China, concubinage was akin, although inferior, to marriage.

When dealing with graded algebras, the commutator is usually replaced by the graded commutator, defined in homogeneous components as

When an order has been defined in this way, a sorting algorithm can be used to put a list of any number of items into that order.

When the plasma goes upward from the footpoints towards the loop top, as it always occurs during the initial phase of a compact flare, it is defined as chromospheric evaporation.

When the database is ready ( all its data structures and other needed components are defined ) it is typically populated with initial application's data ( database initialization, which is typically a distinct project ; in many cases using specialized DBMS interfaces that support bulk insertion ) before making it operational.

When the determinant is equal to one, the linear mapping defined by the matrix is equi-areal and orientation-preserving.

When setting up PBXs to run a DPNSS connection one end must be defined as the primary or ' A ' end.

When used in science, for example geology, eras denote clearly defined periods of time of arbitrary but well defined length, such as for example the Mesozoic Era from 252 Ma – 66 Ma, delimited by a start event and an end event.

When England switched to the shorter foot in the late 13th century, rods and furlongs remained unchanged, since property boundaries were already defined in rods and furlongs.

When an object changes its color smoothly, the animation can be defined by keyframes — the first showing its original color, and the second showing its final color.

When Edward Witten named M-theory, he did not specify what the M stood for — perhaps because the nascent theory was not fully defined.

When there has also been an osteoporotic fracture ( also termed " low trauma-fracture " or " fragility fracture "), defined as one that occurs as a result of a fall from a standing height, the term " severe or established " osteoporosis is used.

When the exact chromaticities of the red, green, and blue primaries are defined, the color model then becomes an absolute color space, such as sRGB or Adobe RGB ; see RGB color spaces for more details.

When a tabloid is defined as " roughly " and commonly " half the size of a broadsheet ," confusion can arise because " Many broadsheets measure roughly ", half of which is roughly not.

When it becomes necessary to distinguish these special vectors from vectors as defined in pure mathematics, they are sometimes referred to as geometric, spatial, or Euclidean vectors.

When the length of vectors is defined, it is possible to also define a dot product — a scalar-valued product of two vectors — which gives a convenient algebraic characterization of both length ( the square root of the dot product of a vector by itself ) and angle ( a function of the dot product between any two vectors ).

When using this convention, in contrast to the other convention, the defined handedness of the wave matches the handedness of the screw type nature of the field in space.

When practiced outside the laws of war, it is often defined as terrorism, though rarely by its practitioners or their supporters.

When reactive elements such as capacitors, inductors, or transmission lines are involved in a circuit to which AC or time-varying voltage or current is applied, the relationship between voltage and current becomes the solution to a differential equation, so Ohm's law ( as defined above ) does not directly apply since that form contains only resistances having value R, not complex impedances which may contain capacitance (" C ") or inductance (" L ").

When abstraction proceeds into the operations defined, enabling objects of different types to be substituted, it is called polymorphism.

:( a ) When people and organizations focus primarily on quality, defined by the following ratio,

When used in computer graphics to render scenes composed of planar polygons, the partitioning planes are frequently ( but not always ) chosen to coincide with the planes defined by polygons in the scene.

When both descendants are similar in a particular respect, evolution is defined as parallel if the ancestors considered were also similar, and convergent if they were not.

When I went for my interview with the director I saw why.

When she appeared at the store to help out for a few hours even my looking at her was surreptitious lest my Uncle notice it.

When we opened the door again for business and switched on the lights she said:

When she would do these things, he would turn blind for an instant and become sick at his stomach.

When I mentioned that for my first long voyage I did not even have the money for the return fare, but had trusted to luck that I would earn a sufficient amount, the young people looked at me doubtingly.

When it comes to this, I shall prefer emigrating to some country where they make no pretence of loving liberty -- to Russia, for instance, where despotism can be taken pure, without the base alloy of hypocrisy '' ( His emphasis )

When Heidegger and Sartre speak of a contrast between being and existence, they may be right, I don't know, but their language is too philosophical for me.

When these had been pocketed, we could still spend a morning cracking open other pebbles for our delight in seeing how much prettier they were inside than their dull exteriors indicated.

When I try to work out my reasons for feeling that this passage is of critical significance, I come up with the following ideas, which I shall express very briefly here and revert to in a later essay.

When words can be used in a more fresh and primitive way so that they strike with the force of sights and sounds, when tones of sound and colors of paint and the carven shape all strike the sensibilities with an undeniable force of data in and of themselves, compelling the observer into an attitude of attention, all this imitates the way experience itself in its deepest character strikes upon the door of consciousness and clamors for entrance.

When Peter B. Kyne ( Pride Of Palomar, 43 ) informed us in 1921 that we had an instinctive dislike for the Japanese, did the heated debates of the Californians settle the truth or falsity of the proposition??

When some question arises in the medical field concerning cancer, for instance, we do not turn to free and open discussion as in a political campaign.

When he remembered that he might have not signed the check, Mercer made out another for the same amount, instructing the bank to destroy the other -- especially if he had happened to have absent-mindedly signed both of them.

When the family business failed, Mercer left school and on his mother's urging -- for she hoped that he would become an actor -- he joined a local little theater group.

When he heard that Paul Whiteman was looking for singers to replace the Rhythm Boys, Mercer applied and got the job, `` not for my voice, I'm sure, but because I could write songs and material generally ''.

Besides doing a single song, `` When The Sun Comes Out '', they worked on the ambitious American-Negro Suite, for voices and piano, as well as songs for films.

When we consider the disorganized state of the world community, and the legacy of predispositions adversely directed against all who are identified as Jews, it is obvious that the struggle for the minds and muscles of men needs to be prosecuted with increasing vigor and skill.

When McPherson pushed blindly through Snake Creek Gap in a potentially decisive movement, the only cavalry in his van was the Ninth Illinois Mounted Infantry, totally inadequate for its role.

When they were first written, there was evidently no thought of their being published, and those which refer to the writer's love for Mrs. Meynell particularly have the ring of truth.

When a lady chanced to soil a pair of evening slippers, Brigadier Bauer was dispatched to Paris for replacements.

When we went for our walks Lilly's brother would come along every once in a while.

When the United States entered the First World War Baker made certain that the Draft Act of 1917 prohibited the sale of liquor to men in uniform and that it provided for broad zones around the camps in which prostitution was outlawed.