For most spaces that are considered in practice, namely for all those that satisfy the T < sub > 0 </ sub > separation axiom, this preorder is even a partial order ( called the specialization order ).

* For each node in preorder, do:

For example, two exclamation marks, "", typed as a command and referred to as " bang, bang ," causes the immediately preceding command to run.

For instance, when linking to a local file using the " file :" URI scheme, the syntax is of the form "", where "" is the standard prefix, and the third represents the root of the local system.

For example, an ASCII form feed character ( decimal value 12 ) can be represented by "", and an ASCII equal sign ( decimal value 61 ) must be represented by "".

For other stars, the metallicity is often expressed as "", which represents the logarithm of the ratio of a star's iron abundance compared to that of the Sun ( iron is not the most abundant heavy element, but it is among the easiest to measure with spectral data in the visible spectrum ).

For such an online algorithm, a recurrence relation is required between quantities from which the required statistics can be calculated in a numerically stable fashion.

For very large distances, cosmological redshift complicates the relation between absolute and apparent magnitude, and an additional k correction might be required.

For Friedrich Wilhelm Joseph Schelling, the philosophy of art is the " organon " of philosophy concerning the relation between man and nature.

For example, George Livingstone Robinson's dissertation on chapters 9-14 concluded that those chapters had their origin in the period between 518 and 516 BCE and stand in close relation to chapters 1-8, having most probably been composed by Zechariah himself.

For the spherical Bessel functions the orthogonality relation is:

For an ideal gas the partial pressure is related to the molar concentration by the relation

For a given market of a commodity, demand is the relation of the quantity that all buyers would be prepared to purchase at each unit price of the good.

For example, it might study what constitutes upbringing and education, the values and norms revealed through upbringing and educational practices, the limits and legitimization of education as an academic discipline, and the relation between education theory and practice.

For instance, the equivalence relation ~ generated by:

For example, an equivalence relation with exactly two infinite equivalence classes is an easy example of a theory which is ω-categorical, but not categorical for any larger cardinal number.

For example, the dynamic history of the planetary atmosphere's CO < sub > 2 </ sub > and O < sub > 2 </ sub > composition has been affected by the biogenic flux of gases coming from respiration and photosynthesis, with levels fluctuating over time in relation to the ecology and evolution of plants and animals.

For a system consisting of vapor and liquid of a pure substance, this equilibrium state is directly related to the vapor pressure of the substance, as given by the Clausius-Clapeyron relation:

For fluids which are sufficiently dense to be a continuum, do not contain ionized species, and have velocities small in relation to the speed of light, the momentum equations for Newtonian fluids are the Navier-Stokes equations, which is a non-linear set of differential equations that describes the flow of a fluid whose stress depends linearly on velocity gradients and pressure.

For a discussion of the name " Mittag-Leffler " in its relation with the Mittag-Leffler theorem, see this thread on MathOverflow.

For example " This ' a ' is ' b '" ( e. g. " This ' object a ' is ' red '") really means "' object a ' is a sense-datum " and "' red ' is a sense-datum ", and they " stand in relation " to one another and in relation to " I ".

For example, the axiom AC < sub > 11 </ sub > can be paraphrased to say that for any relation R on the set of real numbers, if you have proved that for each real number x there is a real number y such that R ( x, y ) holds, then there is actually a function F such that R ( x, F ( x )) holds for all real numbers.

For example, Petrarch struggled with the proper relation between the active and contemplative life, and tended to emphasize the importance of solitude and study.

* For essays exploring the relation of process thought to Wesleyan theology, see Bryan P. Stone and Thomas Jay Oord, Thy Nature and Thy Name is Love: Wesleyan and Process Theologies in Dialogue ( Nashville: Kingswood, 2001, ISBN 0-687-05220-3 ).

For each single pushdown automaton these two languages need to have no relation: they may be equal but usually this is not the case.

For example, the center segments return the ball a 90 ° angle in relation to the paddle, while the outer segments return the ball at smaller angles.

For example in the Order relation the attribute < u > Customer ID </ u > is a foreign key.

For any set S, the inclusion relation ⊆ is a partial order on the set of all subsets of S ( the power set of S ).

For the use of the "<" and ">" signs as punctuation, see Bracket.

For it is such a distinguished place, with such fine works of art and such a big library, that there can be little doubt but that the owner has become depraved by all this culture.

For the policy officer will know that action can almost never be secret and that in general the effectiveness of policy will be conditioned by the readiness of the country to sustain it.

For the making of selections on the basis of excellence requires that any foundation making the selections shall have available the judgments of a corps of advisors whose judgments are known to be good: such judgments can be known to be good only by the records of those selected, by records made subsequent to their selection over considerable periods of time.

For most small children, learning a forward roll is simply a matter of copying another child who can.

For example, the Friday after Thanksgiving can be substituted for Washington's birthday.

For example, instead of putting in your driveways last ( as many builders do ) you can now save money by putting them in first.

For those who need or want and can afford another car, buying one and driving it on the grand tour, then shipping it home, is one popular plan for a do-it-yourself pilgrimage.

For those who plan to travel to Europe by one route and return by another some agencies offer a service whereby you can pick up a car in one city on arrival and leave it in another city, or even another country, when you are ready to return home.

For example: a sales presentation can be analyzed and evaluated through roleplaying.

For example, the inflected forms of a word can be represented, insofar as regular inflection allows, by a stem and a set of endings to be attached.

For what concerns all scientific disciplines is precisely that which can be captured for the rational, i.e., for the scientific determination of what in past ages was considered ultimate and irrational.

`` For these and other reasons '', says Dr. Brodie, `` orthodontics can prolong the life of teeth ''.

For example, the unwed mothers expressed their frustration with males who did not indicate more explicitly `` what it is they really want from a girl so one can act accordingly ''.

For all involved in this discussion the devil is a real entity who can really be confronted in the woods on a dark night, the demon world is populated with real creatures, and witches actually can be seen flying through the air.

Last season, the Comedie's two principal experiments came to grief, and, in consequence, we can expect fairly soon to see still newer productions of Racine's `` Phedre '' and Moliere's `` School For Wives ''.

For style and assurance, for a supreme and regal bearing there is still no one who can touch her.

`` For one thing you can stop keeping that child in starched dresses and changed from the skin out nineteen times a day ''.

For this reason tadpoles can have horny ridges instead of teeth, whisker-like skin extensions or fins.

For tonal languages, further classification can be based on their treatment of tone, though names do not yet exist to distinguish the various types.

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

For Euclid ’ s method to succeed, the starting lengths must satisfy two requirements: ( i ) the lengths must not be 0, AND ( ii ) the subtraction must be “ proper ”, a test must guarantee that the smaller of the two numbers is subtracted from the larger ( alternately, the two can be equal so their subtraction yields 0 ).

For example for any ( even infinite ) collection of pairs of shoes, one can pick out the left shoe from each pair to obtain an appropriate selection, but for an infinite collection of pairs of socks ( assumed to have no distinguishing features ), such a selection can be obtained only by invoking the axiom of choice.

For instance, according to Classical Arabic and Modern Standard Arabic, the Arabic root ( to sacrifice ) can be derived the forms ( he sacrificed ), ( you ( masculine singular ) sacrificed ), ( he slaughtered ), ( he slaughters ), and ( slaughterhouse ).