By construction, hypothesis testing limits the rate

By construction, h is antipode-preserving, and thus has non-zero degree.

By construction, h extends to the whole upper hemisphere of S < sup > n </ sup >, and as such is null-homotopic.

By 1972, however, with only a minimum of work done on the I-95 right of way and none on the potentially massively disruptive Inner Belt, Governor Francis Sargent put a moratorium on highway construction within the MA-128 corridor, except for a short stretch of Interstate 93.

By 1985, construction was completed and the World Financial Center saw its first tenants.

By the turn of the 21st century, Battery Park City was mostly completed, with the exception of some ongoing construction on West Street.

By the autumn of 1855, the royal apartments were ready, though the tower was still under construction and the servants had to be lodged in the old house.

By the same construction, every locally compact Hausdorff space X is a dense subspace of a compact Hausdorff space having at most one point more than X ..

By 1827, construction on the Dayton-Cincinnati canal began as a way to better transport goods from Dayton to Cincinnati.

By 1973, construction of the Naval Communications Station ( NAVCOMMSTA ) was completed.

By 2007, the Falkland Islands had a road network of with a further roads planned for construction link to all occupied mainland settlements by 2013.

By the 16th century the vihuela's construction had more in common with the modern guitar, with its curved one-piece ribs, than with the viols, and more like a larger version of the contemporary four-course guitars.

By applying his construction to the sequence of real algebraic numbers, Cantor produces a transcendental number.

By June construction had reached the second level platform, and on Bastille Day this was used for a fireworks display, and Eiffel held a celebratory banquet for the press on the first level platform.

By 1953 nearly one-quarter of the government's budget was devoted to road construction.

By 1907, the product had become successful enough to warrant construction of a second factory at Camberwell Green in London.

By 1947, there would be approximately 22, 000 motor courts in operation in the US alone ; a typical 50-room motel in that era cost $ 3000 per room in initial construction costs, compared to $ 12, 000 per room for metropolitan city hotel construction.

By the construction of ~, this definition is independent of the chosen representatives and the corresponding relation is indeed well-defined.

By construction, d * e = 1 mod φ ( n ).

By 1981 overseas construction projects, most of them in the Middle East, accounted for 60 percent of the work undertaken by South Korean construction companies.

By 1989 there were signs of a revival of the overseas construction market — the Dong Ah Construction Company signed a US $ 5. 3 billion contract with Libya for the second phase of Libya's Great Man-Made River Project, which, when all five phases were completed, was projected to cost US $ 27 billion.

By the 8th century, a navigable canal existed between Old Cairo and the Red Sea, but accounts vary as to who ordered its construction — either Trajan or ' Amr ibn al -' As, or Omar the Great.

By clarifying fundamental premises in the social sciences, and defining the logical problems emergent at the borderlands of each new scientific discipline, philosophy can offer the sort of distinction that can accelerate growth in human understanding.

By this same combination of the will and the imagination, each one of us can learn to portray permanently the kind of character we would like to be.

By using instruments of gradually increasing size, the vagina is gently, and with minimum pain at each stage, taught to yield to an object of the appropriate shape.

By having three stations, a total of three different cars can be operated on at the same time, each one at a different stage of its assembly.

By treating each candidate as a separate question, " Do you approve of this person for the job?

By the 1920s, each state in the United States had passed public laws that stipulated a certain day to be Arbor Day or Arbor and Bird Day observance.

By patiently transcribing each word of the text, the writer was made to contemplate the meaning of it.

* By whether the same key is used for both encryption and decryption ( symmetric key algorithms ), or if a different key is used for each ( asymmetric key algorithms ).

By this method each bull can serve very many cows, so only a very few of the purebred dairy male calves are needed to provide bulls for breeding.

By giving each channel a different frequency " slot " on the cable the separate television signals do not interfere.

By exposing an azeotrope to a vacuum or positive pressure, it's possible to bias the boiling point of one component away from the other by exploiting the differing vapour pressure curves of each ; the curves may overlap at the azeotropic point, but are unlikely to be remain identical further along the pressure axis either side of the azeotropic point.

* By adding bits to each encoded unit, the redundancy allows both to detect errors in coded data and to correct them based on mathematical algorithms.

* By adding bits to each encoded unit, the redundancy allows both to detect errors in coded data and to correct them based on mathematical algorithms.

By externalizing such functionality to the DBMS, applications effectively share code with each other and are relieved of much internal complexity.

By contrast, a dynamic web page is a broader concept, covering any web page generated differently for each user, load occurrence, or specific variable values.

By the mid — 18th century the French chemist Charles François de Cisternay du Fay had discovered two types of static electricity, and that like charges repel each other whilst unlike charges attract.

By reversing the steps in the Euclidean algorithm, the GCD can be expressed as a sum of the two original numbers each multiplied by a positive or negative integer, e. g., 21 = × 105 + × 252.

By definition, the first two numbers in the Fibonacci sequence are 0 and 1, and each subsequent number is the sum of the previous two.

By 1927 readers, often young adults, would write to each other, bypassing the magazine.

By inspection, each of the small natural numbers 1, 2, 3, 4, ... is the product of primes.

By the 1st century BCE, noxii were being condemned to the beasts ( damnati ad bestias ) in the arena, with almost no chance of survival, or were made to kill each other.

By 2006, such was the confusion from these multiple Acts, each amending the others ( and not all of which were ever actually commenced and thus were in the public record but not enforced as actual legislation ); and the amendments of Irish firearms legislation by other Acts ranging from the Wildlife Acts ( mostly relating to hunting law ) to the Road Traffic Acts ( relating to how and where firearms could be transported ) and others ; the large amount of secondary legislation ( Statutory Instruments, which set out regulations, the design of application forms for licences and so forth, as well as the details of when various parts of the Acts came into force ); as well as the introduction of EU firearms law into the canon of Irish legislation ; led the Irish Law Reform Commission to recommend that all the extant legislation be restated a legal process by which all the existing primary and secondary legislation would be read as one and a single document produced as the new Firearms Act ( and all prior Acts would be repealed ).

By sorting formulas according to the number of atoms of each element present in the formula according to these rules, with differences in earlier elements or numbers being treated as more significant than differences in any later element or number — like sorting text strings into lexicographical order — it is possible to collate chemical formulas into what is known as Hill system order.

By typing " HINT " twice the player would open up a screen of possible topics where they could then reveal one hint at a time for each puzzle, just like the books.