Hatless, in an overcoat of rough blue wool, I was given a proud farewell by my mother and father, and I set out into the strangely still streets of Brooklyn.

After the frames and transom are set up on the jig and temporarily braced, a piece of three-inch-wide mahogany ( only widths will be given since the 13/16-inch thickness is used throughout ) is butted between frames one and two below the line of the keelson.

We first define a function b{t} as follows: given the set of squares such that each has three corners on C and vertex at t, b{t} is the corresponding set of positive parametric differences between T and the backward corner points.

Household circuit breakers typically provide a maximum of 15 A or 20 A of current to a given set of outlets.

But humans can do something equally useful, in the case of certain enumerably infinite sets: They can give explicit instructions for determining the nth member of the set, for arbitrary finite n. Such instructions are to be given quite explicitly, in a form in which they could be followed by a computing machine, or by a human who is capable of carrying out only very elementary operations on symbols.

This is not the most general situation of a Cartesian product of a family of sets, where a same set can occur more than once as a factor ; however, one can focus on elements of such a product that select the same element every time a given set appears as factor, and such elements correspond to an element of the Cartesian product of all distinct sets in the family.

** If S is a set of sentences of first-order logic and B is a consistent subset of S, then B is included in a set that is maximal among consistent subsets of S. The special case where S is the set of all first-order sentences in a given signature is weaker, equivalent to the Boolean prime ideal theorem ; see the section " Weaker forms " below.

Note that " completeness " has a different meaning here than it does in the context of Gödel's first incompleteness theorem, which states that no recursive, consistent set of non-logical axioms of the Theory of Arithmetic is complete, in the sense that there will always exist an arithmetic statement such that neither nor can be proved from the given set of axioms.

Similarly, the subset order ⊆ on the subsets of any given set is antisymmetric: given two sets A and B, if every element in A also is in B and every element in B is also in A, then A and B must contain all the same elements and therefore be equal:

* In the myth of Psyche and Eros, Psyche is given ambrosia by Hermes upon her completion of the quests set by Aphrodite and her acceptance on Olympus.

When a specific allophone ( from a set of allophones that correspond to a phoneme ) must be selected in a given context ( i. e. using a different allophone for a phoneme will cause confusion or make the speaker sound non-native ), the allophones are said to be complementary ( i. e. the allophones complement each other, and one is not used in a situation where the usage of another is standard ).

* An example of a non-unitary associative algebra is given by the set of all functions f: R → R whose limit as x nears infinity is zero.

On a more abstract level, model theoretic arguments hold that a given set of symbols in a theory can be mapped onto any number of sets of real-world objects — each set being a " model " of the theory — providing the interrelationships between the objects are the same.

A key point which is often overlooked is that published lower bounds for problems are often given for a model of computation that is more restricted than the set of operations that you could use in practice and therefore there are algorithms that are faster than what would naively be thought possible.

Since algorithms are platform-independent ( i. e. a given algorithm can be implemented in an arbitrary programming language on an arbitrary computer running an arbitrary operating system ), there are significant drawbacks to using an empirical approach to gauge the comparative performance of a given set of algorithms.

This established the existence of the phenomenon of aberration beyond all doubt, and also allowed Bradley to formulate a set of rules that would allow the calculation of the effect on any given star at a specified date.

Rather, we may form the set of all objects that have a given property and lie in some given set ( Zermelo's Axiom of Separation ).

The tiles were given a metallic sheen to simulate the varying scales of the monster, with the color grading from green on the right side, where the head begins, to deep blue and violet in the center, to red and pink on the left side of the building.

Next, each player ( including the dealer ) is given four tiles with which to make two hands of two tiles each.

The key element of pai gow strategy is to present the optimal front hand and rear hand given four tiles dealt to the player.

Like the game Pentominoes, the goal is to use all of your tiles, and a bonus is given if the monomino is played on the very last move.

In many recent tile-matching games, the matching criterion is to place a given number of tiles of the same type so that they adjoin each other.

* Word Craft a game of rearranging word tiles given a dictionary definition or bit of trivia

One, given by Jan Brożek and proved much later by Thomas Hales, is that the hexagon tiles the plane with minimal surface area.

He also observed that this conjecture would imply the existence of an algorithm to decide whether a given finite set of tiles can tile the plane.

For example, the set of 13 tiles given above is an aperiodic set published by Karel Culik II in 1996.

A more detailed description of the history, manufacture and properties of porcelain tiles is given in the article “ Porcelain Tile: The Revolution Is Only Beginning .”

The RDP contains 4KB of on-chip TMEM ( texture memory ) in which the RDP can reference up to eight textures ( so called, " tiles ") at any given time.

Originally the floor was covered with Minton encaustic tiles ( given to the Sutherlands by the factory ) but Nancy Astor had them removed in 1906 and the present flagstones laid.

Other challenges for Rubik's Magic include reproducing given shapes ( which are often three-dimensional ), sometimes with certain tiles required to be in certain positions and / or orientations.

A review of an iPad / iPhone / iPod Touch application named Cyberchase Math Match ( in which the player " tap the tiles to match up CYBERCHASE math problems with their solutions ") was given a rating of 3 / 5 stars and advised for ages 8 and up.

" It was also given a rating of 5 / 5 for educational value " The game tests your memory like a traditional memory game, but half of the tiles have a math problem or an answer to match up.

Consideration was also given to the risks of elements of the procedure which would involve the ISS arm being used to carry Stephen K. Robinson below the shuttle, possibly the use of a sharp tool which has potential to damage the EVA suit or shuttle tiles.

A given set of tiles, in the Euclidean plane or some other geometric setting, admits a tiling if non-overlapping copies of the tiles in the set can be fitted together to cover the entire space.

Mapping is the term given to the creation of the characters ' environment and surroundings by using 32x32 pixel " tiles ".

Six of the building tiles are " Alhambra tiles ;" these are taken out of the bag and one is given to each player.

Trader tiles are given to each player at the start of the game, and are placed adjacent to any tile.

Instructions to relax, i.e., to be `` spontaneous '', and react immediately to whatever impulse they might have, was not sufficiently reassuring until some idea of the possibilities of normal reactions had been given.

`` So that the man should not have thoughts of grandeur, and become lifted up, as if he had no lord, because of the dominion that had been given to him, and the freedom, fall into sin against God his Creator, overstepping his bounds, and take up an attitude of self-conceited arrogance towards God, a law was given him by God, that he might know that he had for lord the lord of all.

`` You see, first of all and in a sense as the source of all other ills, the unshakeable American commitment to the principle of unconditional surrender: The tendency to view any war in which we might be involved not as a means of achieving limited objectives in the way of changes in a given status quo, but as a struggle to the death between total virtue and total evil, with the result that the war had absolutely to be fought to the complete destruction of the enemy's power, no matter what disadvantages or complications this might involve for the more distant future ''.

Prosthetics are specifically not orthotics, although given certain circumstances a prosthetic might end up performing some or all of the same functionary benefits as an orthotic.

The operas composed for Ferdinando de ' Medici are lost ; they might have given a more favourable idea of his style as his correspondence with the prince shows that they were composed with a very sincere sense of inspiration.

Individuals who alternate between top / dominant and bottom / submissive roles – whether from relationship to relationship or within a given relationship – are known as switches, though the term is occasionally seen as derogatory or unnuanced and is rejected by many who might simplistically fit the definition.

Usually, a meeting which is held without notice having been given is still valid if all of the directors attend, but it has been held that a failure to give notice may negate resolutions passed at a meeting, because the persuasive oratory of a minority of directors might have persuaded the majority to change their minds and vote otherwise.

The introduction, " Let us pray for the whole state of Christ's Church militant here in earth " remained unaltered and only a thanksgiving for those " departed this life in thy faith and fear " was inserted to introduce the petition that the congregation might be " given grace so to follow their good examples that with them we may be partakers of thy heavenly kingdom ".

The councils of Gaul held in the first half of the sixth century had given to bishops absolute authority over religious communities, even going so far as to order the abbots to appear periodically before their respective bishops to receive reproof or advice, as might be considered necessary.

She admitted in an interview given that year that the fairies might have been " figments of my imagination ", but left open the possibility she believed that she had somehow managed to photograph her thoughts.

The Chronicle dates Cerdic's arrival to 495, but adding up the lengths of the reigns as given in the West Saxon Genealogical Regnal List, leads to the conclusion that Cerdic's reign might have started in 532, a difference of 37 years.

However, given that observing such a collision was completely unprecedented, astronomers were cautious with their predictions of what the event might reveal.

From the Shockley ideal diode equation given above, it might appear that the voltage has a positive temperature coefficient ( at a constant current ), but usually the variation of the reverse saturation current term is more significant than the variation in the thermal voltage term.

The story is told that Poseidon had given a white bull to Minos so that he might use it as a sacrifice.

" Whereby are given unto us exceeding great and precious promises: that by these ye might be partakers of the divine nature, having escaped the corruption that is in the world through lust.

He had given refuge to an exiled Irish king whom he hoped he might use as the excuse for conquest.

For instance, you might wish to add spell checking to all s, which in most languages would require access to the source code of the string class — and such basic classes are rarely given out in source form.

A " hove " was a parcel of land that might be given in leasehold to private persons such as farmers by the local lord.

Later, Albert Einstein proposed that the quanta of light might be regarded as real particles, and ( still later ) the particle of light was given the name photon, to correspond with other particles being described around this time, such as the electron and proton.

Another common house rule is that the bottom card of the deck is never given as a replacement, to avoid the possibility of someone who might have seen it during the deal using that information.

Will states that some observers might feel that these unique aspects of Fenway give the Red Sox an advantage over their opponents, given that the Red Sox hitters play 81 games at the home stadium while each opponent plays no more than nine games as visiting teams but Will does not share this view.

Such men have openly libelled him, like Dewes and Weldon, whose falsehoods were detected as soon as uttered, or have fastened upon certain ceremonious compliments and dedications, the fashion of his day, as a sample of his servility, passing over his noble letters to the Queen, his lofty contempt for the Lord Keeper Puckering, his open dealing with Sir Robert Cecil, and with others, who, powerful when he was nothing, might have blighted his opening fortunes for ever, forgetting his advocacy of the rights of the people in the face of the court, and the true and honest counsels, always given by him, in times of great difficulty, both to Elizabeth and her successor.

However, as the Ardfheis may have already been held in any given year by the time a new leader is elected, the selection of the new party president might not take place until the next year.