"modification byte, allowing the program to store data to, for example, the address part of the target instruction, leaving the rest of the instruction unmodified. MIX programs are typically constructed using the MIXAL assembly language; for an example, see the page. MIX MIX is a hypothetical computer used in Donald Knuth's monograph, ""The Art of Computer Programming"" (""TAOCP""). MIX's model number is 1009, which was derived by combining the model numbers and names of several contemporaneous, commercial machines deemed significant by the author. (""MIX"" also represents the value 1009 in Roman numerals.) The 1960s-era MIX has since been superseded by"
"as part of the ""Number Forms"" range from U+2160 to U+2183. For example, Roman 1988 (MCMLXXXVIII) could alternatively be written as ⅯⅭⅯⅬⅩⅩⅩⅧ. This range includes both upper- and lowercase numerals, as well as pre-combined glyphs for numbers up to 12 (Ⅻ for XII), mainly intended for clock faces. The pre-combined glyphs should only be used to represent the individual numbers where the use of individual glyphs is not wanted, and not to replace compounded numbers. For example, one can combine Ⅹ with Ⅰ to mean Roman numeral eleven (ⅩⅠ), so U+216A (Ⅺ) is canonically equivalent to ⅩⅠ. Such characters are"
"type (formula_1), partly to avoid confusion with the multiplication symbol. In fonts containing both ""x"" (the letter) and × (the multiplication sign), the two glyphs are dissimilar. It can be used as an abbreviation for 'between' in the context of historical dating; e.g., '1483 x 1485'. Maps and other images sometimes use an X to label a specific location, leading to the expression ""X marks the spot"". The Roman numeral Ⅹ represents the number 10. In art or fashion, the use of X indicates a collaboration by two or more artists, e.g. Aaron Koblin x Takashi Kawashima. This application, which"
"MMIX MMIX (pronounced ""em-mix"") is a 64-bit reduced instruction set computing (RISC) architecture designed by Donald Knuth, with significant contributions by John L. Hennessy (who contributed to the design of the MIPS architecture) and Richard L. Sites (who was an architect of the Alpha architecture). Knuth has said that ""MMIX is a computer intended to illustrate machine-level aspects of programming. In my books ""The Art of Computer Programming"", it replaces MIX, the 1960s-style machine that formerly played such a role… I strove to design MMIX so that its machine language would be simple, elegant, and easy to learn. At the"
"MIX will work in either binary or decimal, so long as they do not try to store a value greater than 63 in a single byte. A word has the range −1,073,741,823 to 1,073,741,823 (inclusive) in binary mode, and −9,999,999,999 to 9,999,999,999 (inclusive) in decimal mode. The sign-and-magnitude representation of integers in the MIX architecture distinguishes between “−0” and “+0.” This contrasts with modern computers, whose two's-complement representation of integer quantities includes a single representation for zero, but whose range for a given number of bits includes one more negative integer than the number of representable positive integers. There are"
"IUPAC numerical multiplier The numerical multiplier (or multiplying affix) in IUPAC nomenclature indicates how many particular atoms or functional groups are attached at a particular point in a molecule. The affixes are derived from both Latin and Greek. The affix for a number larger than twelve is constructed in the opposite order to that which the number is written in Hindu-Arabic numerals: units, then tens, then hundreds, then thousands. For example: While the use of the affix ""mono-"" is rarely necessary in organic chemistry, it is often essential in inorganic chemistry to avoid ambiguity: carbon oxide could refer to either"
"as: Aegean numerals, Roman numerals, counting rod numerals, Cuneiform numerals and ancient Greek numerals. There is also a large number of typographical variations of the Arabic numerals provided for specialized mathematical use and for compatibility with earlier character sets, and also composite characters containing Arabic numerals such as ½. Numerals invariably involve composition of glyphs as a limited number of characters are composed to make other numerals. For example, the sequence 9–9–0 in Arabic numerals composes the numeral for nine hundred ninety (990). In Roman numerals, the same number is expressed by the composed numeral Ⅹↀ or ⅩⅯ. Each of"
"up to (= 3,999,999). Another inconsistent medieval usage was the addition of ""vertical"" lines (or brackets) before and after the numeral to multiply it by 10 (or 100): thus ' for 10,000 as an alternative form for '. In combination with the overline the bracketed forms might be used to raise the multiplier to (say) ten (or one hundred) thousand, thus: Through all this, and whether any kind of vinculum notation or ""barring"" needs to be revived or not, this needs to be distinguished from the custom, once very common, of adding both underline and overline to a Roman numeral,"
"Knuth's MIX/MMIX emulators also exist. GNU MDK is one such software package; it is free and runs on a wide variety of platforms. Their purpose for education is quite similar to John L. Hennessy's and David A. Patterson's DLX architecture, from ""Computer Organization and Design - The Hardware Software Interface"". MIX is a hybrid binary–decimal computer. When programmed in binary, each byte has 6 bits (values range from 0 to 63). In decimal, each byte has 2 decimal digits (values range from 0 to 99). Bytes are grouped into words of five bytes plus a sign. Most programs written for"
"chord triads in music analysis (Roman numeral analysis), the numbering of movie and video game sequels, book publication dates, successive political leaders or children with identical names, and the numbering of some sport events, such as the Olympic Games or the Super Bowl. Unicode has a number of characters specifically designated as Roman numerals, as part of the ""Number Forms"" range from U+2160 to U+2188. This range includes both upper- and lowercase numerals, as well as pre-combined characters for numbers up to 12 (Ⅻ or ). One reason for the existence of pre-combined numbers is to facilitate the setting of"
"200-900 would be confused easily with 22 to 29 if they were used in chemistry. ""khīlioi"" = 1000, ""diskhīlioi"" = 2000, ""triskhīlioi"" = 3000, etc., and 13 to 19 are ""treiskaideka"" etc. with the Greek for ""and"" inserted (as in triskaidekaphobia). IUPAC numerical multiplier The numerical multiplier (or multiplying affix) in IUPAC nomenclature indicates how many particular atoms or functional groups are attached at a particular point in a molecule. The affixes are derived from both Latin and Greek. The affix for a number larger than twelve is constructed in the opposite order to that which the number is written"
"large numbers. Similarly, | for 5,000 was reduced to ↁ; | for 10,000 to ↂ; | for 50,000 to ↇ; and | for 100,000 to ↈ. Another system is the ""vinculum"", in which conventional Roman numerals are multiplied by 1,000 by adding an ""bar"" or ""overline"". Although mathematical historian David Eugene Smith disputes that this was part of ancient Roman usage, the notation was certainly in use in the Middle Ages, and is sometimes suggested as a workable method for modern use, although it is not standardised as such. Any hundreds, tens or units in the number are written in"
"9 registers in MIX: A byte is assumed to be at least 6 bits. Most instructions can specify ""which"" of the ""fields"" (bytes) of a register are to be altered, using a suffix of the form ""(first:last)"". The zeroth field is the one-bit sign. MIX also records whether the previous operation overflowed, and has a one-trit comparison indicator (less than, equal to, or greater than). The MIX machine has 4000 words of storage (each with 5 bytes and a sign), addressed from 0 to 3999. A variety of input and output devices are also included: Each machine instruction in memory"
"Multiplication sign The multiplication sign, also known as the times sign or the dimension sign, is the symbol ×. While similar to the lowercase letter x, the form is properly a rotationally symmetric saltire. In mathematics, the symbol × has a number of uses, including In biology, the multiplication sign is used in a botanical hybrid name, for instance ""Ceanothus papillosus"" × ""impressus"" (a hybrid between ""C. papillosus"" and ""C. impressus"") or ""Crocosmia × crocosmiiflora"" (a hybrid between two other species of ""Crocosmia""). However, the communication of these hybrid names with a standard non-multiplication ""x"" is common when the actual"
"MIX (email) MIX is a high-performance, indexed, on-disk email storage system that is designed for use with the IMAP protocol. MIX was designed by Mark Crispin, the author of the IMAP protocol. Server support for it has been included in releases of UW IMAP since 2006, Panda IMAP, and Messaging Architects Netmail. MIX is also supported directly by the Alpine e-mail client. MIX mailboxes are directories containing several types of files, including a metadata file, an index file, a dynamic status data file, a threading/sorting cache file, and a collection of files containing message content. MIX mailboxes can also contain"
"Mix (build tool) Mix is a build automation tool for working with applications written in the Elixir programming language. Mix was created in 2012 by José Valim, member of the Ruby on Rails Core Team. It provides functionality for creating, compiling, and testing Elixir source code and for managing dependencies and deploying Elixir applications. Mix developed from the Ruby ecosystem, and performs functions similar to Rake, RubyGems, and Bundler. Mix provides tasks to create, clean, build, compile, run, and test Elixir applications. For example, Mix may be used to create a new Elixir project, such as a new hello_world application."
"same time I was careful to include all of the complexities needed to achieve high performance in practice, so that MMIX could in principle be built and even perhaps be competitive with some of the fastest general-purpose computers in the marketplace."" MMIX is a big-endian 64-bit reduced instruction set computer (RISC), with 256 64-bit general-purpose registers, 32 64-bit special-purpose registers, fixed-length 32-bit instructions and a 64-bit virtual address space. The MMIX instruction set comprises 256 opcodes, one of which is reserved for future expansion. MMIX uses IEEE 754 floating-point numbers. All instructions have an associated mnemonic. For example, instruction #20"
". The latter symbol further evolved into , then , and eventually changed to under the influence of the Latin word ""mille"" ""thousand"". Alfred Hooper has an alternative hypothesis for the origin of the Roman numeral system, for small numbers. Hooper contends that the digits are related to hand gestures for counting. For example, the numbers , , , correspond to the number of fingers held up for another to see. , then represents that hand upright with fingers together and thumb apart. Numbers 6–10, are represented with two hands as follows (left hand, right hand) 6=(,), 7=(,), 8=(,), 9=(,),"
"""×"" symbol is not readily available. The multiplication sign is also used by historians for an event between two dates. When employed between two dates, for example 1225 and 1232, 1225×1232 means ""no earlier than 1225 and no later than 1232"". It can also be used in a date range: 1225×1232–1278. The multiplication sign (×), often attributed to William Oughtred (who first used it in an appendix to the 1618 edition of John Napier's ""Mirifici Logarithmorum Canonis Descriptio""), apparently had been in occasional use since the mid 16th century. The letter ""x"" is sometimes used in place of the multiplication"
"Alphanumeric Alphanumeric is a combination of alphabetic and numeric characters, and is used to describe the collection of Latin letters and Arabic digits or a text constructed from this collection. Merriam-Webster suggests that the term ""alphanumeric"" may often additionally refer to other symbols, such as punctuation and mathematical symbols. In the POSIX/C locale, there are either 36 (A-Z+0-9, case insensitive) or 62 (A-Z+a-z+0-9, case-sensitive) alphanumeric characters. When a string of mixed alphabets and numerals is presented for human interpretation, ambiguities arise. The most obvious is the similarity of the letters I, O and Q to the numbers 1 and 0."
"Combinations of a hundred and a lower number are expressed by just placing them together, with the hundred coming first. Sometimes, ""en"" is added in between, but this is optional and not commonly done nowadays. 1000 is ""duizend"". Unlike in English, this is not preceded by an article. The same system used for naming the hundreds applies to the thousands as well, so multiples of 1000 are expressed by writing the multiple right before: 2000 ""tweeduizend"", 3000 ""drieduizend"", 20000 ""twintigduizend"", 999000 ""negenhonderdnegenennegentigduizend"". Combinations of a thousand and a lower number are expressed by placing them together, with the thousand coming"
"are not combined as digraphs generally represent the same phonemes as suggested by the International Phonetic Alphabet (IPA), whose design was, in fact, greatly influenced by Romance spelling systems. Since most Romance languages have more sounds than can be accommodated in the Roman Latin alphabet they all resort to the use of digraphs and trigraphs – combinations of two or three letters with a single phonemic value. The concept (but not the actual combinations) is derived from Classical Latin, which used, for example, ""TH"", ""PH"", and ""CH"" when transliterating the Greek letters ""θ"", ""ϕ"" (later ""φ""), and ""χ"". These were"
"Subtractive notation Subtractive notation is an early form of positional notation used with Roman numerals as a shorthand to replace four or five characters in a numeral representing a number with usually just two characters. Using subtractive notation the numeral VIIII becomes simply IX. Without subtractive notation, XIV represents the same number as XVI (16 in Arabic numerals). With the introduction of subtractive notation, XIV (14) no longer represents the same number as XVI but rather is an alternative way of writing XIIII. By encoding information about the number into the order of the numerals, subtractive notation transformed the Roman"
"X X (named ""ex"" , plural ""exes"") is the 24th and antepenultimate letter in the modern English alphabet and the ISO basic Latin alphabet. In Ancient Greek, 'Χ' and 'Ψ' were among several variants of the same letter, used originally for and later, in western areas such as Arcadia, as a simplification of the digraph 'ΧΣ' for . In the end, more conservative eastern forms became the standard of Classical Greek, and thus 'Χ' ""(Chi)"" stood for (later ; palatalized to in Modern Greek before front vowels). However, the Etruscans had taken over 'Χ' from western Greek, and it therefore"
"with upgrades on his ZX-81. The name is a play on three meanings of the word ""hex"": a hex can be a witch (hence the video game =witches) or a magical spell, and ""hex"" is slang for hexadecimal, the base 16 system used to simplify the representation of binary numbers and widely used in the IT world. ""hex"" (""6"" in Greek) also denotes the number of legs ants have. In 2001, a new Silicon Graphics Origin 2800 supercomputer was installed as part of the University of Leicester's Centre for Mathematical Modelling and, with Pratchett's blessing, named HEX. Hex (Discworld) Hex"
"EMix eMix, which stands for Electronic Medical Information Exchange, is a cloud computing-based technology for secure sharing of medical imaging studies and reports between disparate healthcare facilities and physicians. eMix was developed to address a challenge in medical imaging: How to exchange medical imaging data between proprietary information technology (IT) systems that do not ""talk to each other"", The service also provides an alternative to legacy solutions typically used for sharing medical imaging data. Examples of such legacy methods include: eMix was one of the first cloud-based systems for accomplishing these tasks. Cloud-based services are likely to help facilitate the"
"a zero to the end (e.g. 855 × 10 = 8550). The Roman numeral for ten is X (which looks like two Vs [the Roman numeral for 5] put together); it is thought that the V for five is derived from an open hand (five digits displayed), and X for ten from both hands. Incidentally, the Chinese word numeral for ten, is also a cross: . The digit '1' followed by '0' is how the value of ""p"" is written in base ""p"". (E.g. 16 in hexadecimal is 10.) The SI prefix for 10 is ""deca-"". The meaning ""10"" is"
"clockwise, the directions are: Directions on the mariner's compass (divided into 32 directions) may also be encountered, although generally clued more explicitly: Many puzzles ask for Roman numerals either as answers or as portions of answers. For instance: Standard Roman numerals run from 1 to 3999, or ""I"" to ""MMMCMXCIX"". The first ten Roman numerals are: For numerals representing values equal to or greater than 4000, a line is placed above the numeral. The following table shows the numerals used in crossword puzzles. For those who are curious, the chart below shows numeral values up to 900,000. Use of medieval"
"Arabic numerals being used for divisions and armies. In music, Roman numerals are used in several contexts: In pharmacy, Roman numerals are used in some contexts, including to denote ""one half"" and to mean ""nothing"". (See the sections below on ""zero"" and ""fractions"".) In photography, Roman numerals (with zero) are used to denote varying levels of brightness when using the Zone System. In seismology, Roman numerals are used to designate degrees of the Mercalli intensity scale of earthquakes. In sport the team containing the ""top"" players and representing a club or a school at the highest level in (say) rugby"
"Sign-value notation A sign-value notation represents numbers by a series of numeric signs that added together equal the number represented. In Roman numerals for example, X means ten and L means fifty. Hence LXXX means eighty (50 + 10 + 10 + 10). There is no need for zero in sign-value notation. Sign-value notation was the pre-historic way of writing numbers and only gradually evolved into place-value notation, also known as positional notation. When pre-historic people wanted to write ""two sheep"" in clay, they could inscribe in clay a picture of two sheep. But this would be impractical when they"
"numeral designates the ""formal oxidation state"" of an element, whereas the superscripted numerals denote the net charge. The two notations are, therefore, exchangeable for monatomic ions, but the Roman numerals ""cannot"" be applied to polyatomic ions. However, it is possible to mix the notations for the individual metal centre with a polyatomic complex, as shown by the uranyl ion example. If an ion contains unpaired electrons, it is called a ""radical"" ion. Just like uncharged radicals, radical ions are very reactive. Polyatomic ions containing oxygen, such as carbonate and sulfate, are called ""oxyanions"". Molecular ions that contain at least one"
".NET Common Language Runtime). Mix is used with web applications built on the Phoenix framework. Mix (build tool) Mix is a build automation tool for working with applications written in the Elixir programming language. Mix was created in 2012 by José Valim, member of the Ruby on Rails Core Team. It provides functionality for creating, compiling, and testing Elixir source code and for managing dependencies and deploying Elixir applications. Mix developed from the Ruby ecosystem, and performs functions similar to Rake, RubyGems, and Bundler. Mix provides tasks to create, clean, build, compile, run, and test Elixir applications. For example, Mix"
"""mille"", an indeclinable adjective, but multiples such as ""duo mīlia"" (2000) have ""mīlia"" as a neuter plural substantive followed by a partitive genitive: Ordinal numbers are all adjectives with regular first- and second-declension endings. Most are built off of the stems of cardinal numbers (for example, ""trīcēsimus"", ""-a"", ""-um"" (30th) from ""trīgintā"" (30), ""sēscentēsimus"", ""-a"", ""-um"" ""nōnus"", ""-a"", ""-um"" (609th) for sēscentī novem (609). However, ""first"" is ""prīmus"", ""-a"", ""-um"", and ""second"" is ""secundus"", ""-a"", ""-um"" (literally ""following"" the first; ""sequi"" means ""to follow""). Latin allows a very flexible word order because of its inflectional syntax. Ordinary prose tended to"