Since the simple arithmetic operators are all binary ( at least, in arithmetic contexts ), any prefix representation thereof is unambiguous, and bracketing the prefix expression is unnecessary.

Since operations such as inserting, deleting, and finding values require worst-case time proportional to the height of the tree, this theoretical upper bound on the height allows red – black trees to be efficient in the worst case, unlike ordinary binary search trees.

Since the prime factorisation of every number is unique, so then is every binary encoding of the square-free integers.

Since every positive integer has a unique binary representation it is possible to reverse this encoding so that they may be ' decoded ' into a unique square-free integer.

Since the data to be conveyed are usually binary, the PSK scheme is usually designed with the number of constellation points being a power of 2.

Since the definition also assures the existence of binary meets and joins, complete lattices do thus form a special class of bounded lattices.

Since α < sup > 1 </ sup > Crucis is a spectroscopic binary, this is actually a multiple star.

Since pre-abelian categories have all finite products and coproducts ( the biproducts ) and all binary equalisers and coequalisers ( as just described ), then by a general theorem of category theory, they have all finite limits and colimits.

Since equalizers may be constructed from pullbacks and binary products ( consider the pullback of ( f, g ) along the diagonal Δ ), a category is complete if and only if it has pullbacks and products.

Since most double stars are true binary stars rather than mere optical doubles ( as William Herschel had been the first to discover ), they orbit around one another's barycenter and slowly change position over the years.

Since it is, actually, a binary star, its highly distorted shape may cause non-negligible departures of the companion's orbital trajectory with respect to a Keplerian ellipse.

Since each binary memory element has only two possible states, 0 or 1, the total number of different states a circuit can assume is finite, and fixed by the number of memory elements.

The binary temporal operators Since and Until were introduced by Hans Kamp in his 1968 Ph.

Since then numerous binary asteroids have been detected.

" Since the binary opposition – material vs. device – cannot account for the organic unity of the work, Zhirmunsky augmented it in 1919 with a third term, the teleological concept of style as the unity of devices " ( Steiner, " Russian Formalism " 19 ).

Since Orcus is known to be a binary system, the mass of the system has been estimated to be 6. 32 ± 0. 05 kg, or about 3. 8 % the mass of largest known dwarf planet Eris.

Since mid-2008 binary options web-sites called binary option trading platforms have been offering a simplified version of exchange-traded binary options.

Since a binary call is a mathematical derivative of a vanilla call with respect to strike, the price of a binary call has the same shape as the delta of a vanilla call, and the delta of a binary call has the same shape as the gamma of a vanilla call.

Since the base is 16, the exponent in this form is about twice as large as the equivalent in IEEE 754, in order to have similar exponent range in binary, 9 exponent bits would be required.

Since the base is 16, there can be three leading zeroes in the binary significand.

Since there are n − 1 binary choices, the result follows.

Since our viewpoints in this respect coincided precisely, we present the fruits of our efforts herewith as a single social code for pool owners.

Since it is written in pure Java, no native code is required.

Since it was a work created by the US federal government, a copyright cannot be placed on the source code, making the source code in the public domain.

Since Icon uses success or failure for all flow control, this simple code:

Since Id Software and some of its licencees released the source code for some of their previous games, several games which were not ported ( such as Wolfenstein 3D, Spear of Destiny, Heretic, Hexen, Hexen II, and Strife ) can run on Linux and other operating systems through the use of source ports.

Since memory was tight originally, the language design for MUMPS valued very terse code.

Since MUMPS interprets source code by context, there is no need for reserved words.

Since at a minimum the starting code address vector must always be valid on reset, systems commonly included some nonvolatile memory ( e. g. ROM ) starting at address zero to contain the vectors and bootstrap code.

Since a CPU designer could hardly guarantee where this code would be located in a future system, the 6809 design focused heavily on support of position-independent, reentrant code that could be freely located anywhere in the memory map.

Since tasks consisted of multiple threads, and it was the code in the threads that used the IPC mechanism, Mach was able to freeze and unfreeze threads while the message was handled.

Since the late twentieth century, the Maya code has been almost completely deciphered, and the Mayan languages are among the most documented and studied in Mesoamerica.

; Compact size: Since p-code is based on an ideal virtual machine, a p-code program is often much smaller than the same program translated to machine code.

Since Nokia opened the Qt source code to the community on Gitorious various ports have been appearing.

Since the source code for Quake was released a number of unofficial ports were made available for PDAs and mobile phones, such as PocketQuake, as well as versions for the Symbian S60 series of mobile phones and Android mobile phones.

Since HDLs are not considered to be programming languages by most hardware engineers, hardware refactoring is to be considered a separate field from traditional code refactoring.

Since both serializing and deserializing can be driven from common code, ( for example, the Serialize function in Microsoft Foundation Classes ) it is possible for the common code to do both at the same time, and thus 1 ) detect differences between the objects being serialized and their prior copies, and 2 ) provide the input for the next such detection.

Since TPF can run as a second level guest under IBM's z / VM, a user can employ the VM trace facility to closely follow the execution of code.

Since 2009, countries with non-Latin based alphabets or scripting systems may apply for internationalized country code top-level domain names, which are displayed in end-user applications in their language-native script or alphabet, but use a Punycode-translated ASCII domain name in the Domain Name System.

Since October 2010, Wine also works on the ARM platform when used as Winelib ( which lets developers compile Windows code on Linux using Wine as a library ).

Since the downloaded code runs from RAM, there is little space to spare, particularly for processors dedicated to seeker input processing and target analysis.

Since the generator polynomial is of degree 4, this code has 11 data bits and 4 checksum bits.