Since in oral languages the elements of sound are for the most part produced linearly in time ( that is, in a word like cat the a sound comes after the c sound, and the t sound comes after that ), they can generally be easily written in a linear ( one-dimensional ) writing system such as an alphabet.

Since at this stress the slope of the material's stress-strain curve, E < sub > t </ sub > ( called the tangent modulus ), is smaller than that below the proportional limit, the critical load at inelastic buckling is reduced.

Since we are assuming circular motion, let r ( t ) = R · u < sub > r </ sub >, where R is a constant ( the radius of the circle ) and u < sub > r </ sub > is the unit vector pointing from the origin to the point mass.

Since we've assumed that we can infallibly identify programs for computing squares, we can determine whether t, which depends on a and i, is such a program, and that for every a and i ; thus we have obtained a program that decides whether program a halts on input i. Note that our halting-decision algorithm never executes t, but only passes its description to the squaring-identification program, which by assumption always terminates ; since the construction of the description of t can also be done in a way that always terminates, the halting-decision cannot fail to halt either.

Since the first widespread promotion of t ' ai chi ch ' uan's health benefits by Yang Shaohou, Yang Chengfu, Wu Chien-ch ' uan, and Sun Lutang in the early 20th century, it has developed a worldwide following among people with little or no interest in martial training, for its benefit to health and health maintenance.

Since the space concept doesn ’ t necessarily have to be economical in the traditional sense, it allows the enrichment to exceed that which would be acceptable for a terrestrial system.

Since y ( t ) is the derivate of x ( t ) we can without loss of generality rewrite it as

Since a convolutional code doesn't use blocks, processing instead a continuous bitstream, the value of t applies to a quantity of errors located relatively near to each other.

Since, the inequality could be satisfied for sufficiently small m. The sum of series first converges to the value of φ ( t ) with arbitrary high accuracy if m is small enough, and left part of the strong inequality is satisfied.

* Since im t

Since T dependns on x ' and t only through the combination, we have:

Since W ( t < sub > 1 </ sub >)

Since we can ’ t know what knowledge will be most needed in the future, it is senseless to try to teach it in advance.

Since B is also a matrix with polynomials in t as entries, one can for each i collect the coefficients of in each entry to form a matrix B < sub > i </ sub > of numbers, such that one has

Since great love, as well as the actual act of committing evil, both create the ability to break the power of Darkness, it was the opportune time to “ win his brother back ” and Christ ’ s death didn ’ t have to be.

Since the power dissipated by a resistor is the amount of energy used ( electrical work applied ) per unit time, the total energy consumed and dissipated in time t is:

Since the product of units is a unit and since ring homomorphisms respect products, we may and will assume that S is a submonoid of the multiplicative monoid of R, i. e. 1 is in S and for s and t in S we also have st in S. A subset of R with this property is called a multiplicatively closed set or, shortly, multiplicative set.

Since D is diagonal, raising it to power, just involves raising each element on the diagonal to the power t. This is much easier to do and to understand than raising A to power t, since A is usually not diagonal.

Since t is the curve length, the curvature, can be expressed as:

Since the light travels the same path at the same rate going both out and back for the observer in this scenario, the coordinate time of the event of the light signal being reflected for the observer t < sub > E </ sub > is.

Since a and n are coprime, this implies that a has an inverse element a < sup >- 1 </ sup > and we can multiply both sides of the congruence with a < sup >- t </ sup >, yielding a < sup > s-t </ sup > ≡ 1 ( mod n ).

Since the same method of shaping and fitting the dogs and notches is used throughout, we will only describe the construction of one locking bar.

Since the construction of A1 motorway beyond Gorski kotar started, D1 and D8 are much less used.

Since its construction, the tunnel has faced several problems.

Since construction of the Aswan Dam, agriculture in the Nile valley depends on irrigation.

Since its construction, it has become a landmark and a symbol for the city.

Since then, they have made slow but steady progress, notably the construction and opening of the Friendship Bridge between the two countries.

Since the construction of the Öresund bridge, Malmö has undergone a major transformation with impressive architectural developments, attracting new biotech and IT companies, and particularly students through Malmö University College.

Since the 1970s, the city has experienced tremendous growth, particularly during the economic boom of the 1990s under the leadership of then-Mayor and later-Tennessee Governor, Phil Bredesen, who made urban renewal a priority, and fostered the construction or renovation of several city landmarks, including the Country Music Hall of Fame and Museum, the downtown Nashville Public Library, the Bridgestone Arena, and LP Field.

Since the country's first rapid rail transit line opened in 1999 in Bangkok, daily ridership on Bangkok's various transit lines has risen to over 800, 000, with multiple additional lines either under construction or being proposed.

Since this construction works for any vector space V, we conclude that T is a functor from K-Vect to K-Alg.

Since the late 1980s, numerous instrument makers, including Eric Jensen, Francois Danger, Jan Goorissen, and Jonathan Wilson, have experimented with the design and construction of electric viols.

Since leaving the presidency, Vicente Fox has been involved in public speaking and the construction of the Vicente Fox Center of Studies, Library and Museum.

Since 2000, central Yerevan has been transformed into a vast construction site, with cranes erected all over the Kentron district.

* Since its construction in 1999, it has been a prominent feature in the title sequence of the popular soap opera EastEnders, having been built in that area of London.

Since the road network is placed under ground at the initial construction of the city the roads do not have to be dug in but can be included as an additional " basement layer " under all buildings, something that should keep construction costs affordable.

Since 1999, the Headmaster has been Dr John Marincowitz, who commissioned the new Martin swimming pool, opened in 2006, Shearly Hall, opened in 2009, and a digital library which is currently in construction.

Since its construction, the Place Masséna has always been the spot for great public events.

Since the initial construction of the lake, various buildings of national importance have been constructed on its shores.

Since 1970, well over 6000 people have participated in Arcosanti's construction.

Since the construction of the Adirondack Northway in the 1960s Saratoga County has consistently been the fastest growing portion of the Capital District and indeed, of upstate New York.

Since the construction of the Bukhtarma dam the lake has risen 6 m ( 20 ft ) above its natural level.

Since construction of the Canso Causeway in 1955, the Strait of Canso does not permit free-flowing exchange of waters between the gulf and the Atlantic.

Since the 1930s industrial construction of the city has begun.