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Topic: Generating arithmetic


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In the News (Thu 10 Dec 09)

  
 Multibus processor for increasing execution speed using a pipeline effect - Patent 4228498
The output of the arithmetic logic unit is made available to bus 16c through a gating element 258 and also is applied as one input of a third multiplexing element 260 whose selected output is controlled by the signals over control lines 262a, 262b from the arithmetic instruction register.
The input from multiplexer 246, as determined by control bits of the arithmetic instruction register is either the output of the "A" register 240, the output of the "B" register 242, the output of the "F" latch register 264, or the output of the "F" latch register 264 shifted down by one bit.
Memory 78 is designated as the destination address on bus 16c, the arithmetic module 100 input registers 140, 142 are designated the destination address for data on buses 16a and 16b respectively, and the output of the ALU 238 is designated as the source address on bus 16c.
www.freepatentsonline.com /4228498.html   (8138 words)

  
 arithmetic
Arithmetic is a branch of mathematics which records elementary properties of certain operations on numbers.
The arithmetic of natural numbers, integers, rational numbers (in the form of fractions) and real numbers (in the form of decimal expansions) is typically studied by schoolchildren of the elementary grades.
The term "arithmetic" is also used to refer to elementary number theory; it's in this context that one runs across the fundamental theorem of arithmetic and arithmetical functions.
www.fact-library.com /arithmetic.html   (156 words)

  
 Arithmetic unit for generating constants in an electronic computer of the microprogram-controlled type - Patent 4377846
A micro instruction is composed of an arithmetic control section for controlling arithmetic operations, a sequence control section for controlling the sequence of the execution of micro-programs and a constant selecting section for specifying the use of the sequence control section for the generation of an arithmetic constant.
When the generation of an arithmetic constant is being selected, the sequence of the execution of micro-programs is uniquely determined on the basis of the current address by using the sequence control section as an arithmetic constant, irrespective of the arithmetic control section.
An arithmetic unit as claimed in claim 1 or 2, wherein said means for uniquely determining the sequence of the execution of micro-programs on the basis of the current address is a circuit for adding unity to said current address.
www.freepatentsonline.com /4377846.html   (3748 words)

  
 United States Patent Application: 0040097824
In this flow, the arithmetic unit 6 produces a screen display in which the user is allowed to input the user's ID (i.e., identification data) that identifies him or her uniquely (in step ST101), and then determines whether or not the user ID has been input via the key input unit 1 (in step ST102).
In other words, the arithmetic unit 6 determines whether it has completed the storing process of storing a brain wave pattern for each of all the descriptions of operations, each of which is to be performed to the vehicle-mounted apparatus.
After that, the arithmetic unit 6 searches through a corresponding storing area of the operation-description-vs.-brain-wave-pa- ttern storing unit 82 for a brain wave pattern that substantially matches the brain wave pattern produced from the detected brain wave signal while incrementing the pointer i.
appft1.uspto.gov /netacgi/nph-Parser?Sect1=PTO1&Sect2=HITOFF&d=PG01&p=1&u=/netahtml/PTO/srchnum.html&r=1&f=G&l=50&s1="20040097824".PGNR.&OS=DN/20040097824&RS=DN/20040097824   (4404 words)

  
 Flexible processor on a single semiconductor substrate using a plurality of arrays - Patent 4354228
An arithmetic and logic unit array is also provided on the semiconductor substrate and interconnected to the register array and the OR array for executing operations on data received from the register array in accordance with ones of the plurality of control signals to generate output data.
An arithmetic and logic unit array is provided which is interconnected to the register array and the OR array for executing operations on data received from the register array in accordance with ones of the plurality of control signals for generating output data.
An arithmetic and logic unit array is included within the processor and is interconnected to the register array and the OR array for executing operations on data received from the register array in accordance with ones of the plurality of control signals for generating output data.
www.freepatentsonline.com /4354228.html   (7290 words)

  
 Generating Functions
A generating function is a clothesline on which we hang up a sequence of numbers for display.
In this sense, the term generating function is not quite consistent in that the operation of substituting a number for x in order to establish the value of the series at that point, is not legal.
is the generating function of the sequence of the binomial coefficients C(n,0), C(n,1),..., C(n,n).
www.cut-the-knot.org /blue/GeneratingFunctions.shtml   (681 words)

  
 Search Encyclopedia.com
arithmetic arithmetic, branch of mathematics commonly considered a separate branch but in actuality a part of algebra.
An arithmetic progression is a sequence in which each term is derived from the preceding one by adding a given number, d, called the common difference.
fraction -> Arithmetic Operations Involving Fractions When fractions having the same denominator, as 3/10 and 4/10, are added, only the numerators are added, and their sum is then written over the common denominator: 3/10+4/10=7/10.
www.encyclopedia.com /searchpool.asp?target=Generating+arithmetic   (486 words)

  
 Generating Permutations
Generating random permutations -   Select a random integer from 0 to n!-1 and unrank it.
Generating random permutations is an important little problem that people stumble across often, and often botch up.
Implementations: The best source on generating combinatorial objects is Nijenhuis and Wilf [NW78], who provide efficient Fortran implementations of algorithms to construct random permutations    and to sequence permutations in minimum-change order.
www2.toki.or.id /book/AlgDesignManual/BOOK/BOOK4/NODE151.HTM   (1235 words)

  
 Search Encyclopedia.com
The term is generally restricted to the irreversible conversion of electricity into heat described by the English physicist James P. Joule and to three reversible effects named for Seebeck, Peltier, and Thomson, their respective discover...
It deals with operations that are not necessarily those of arithmetic and that apply to elements that are not necessarily numbers.
The most noteworthy feature of TVA is the system of multipurpose dams and reservoirs that have contributed greatly to the economic life of the area.
www.encyclopedia.com /search.asp?target=Generating+arithmetic&rc=10&fh=9&fr=11   (556 words)

  
 [No title]
The class of numbers used in the present invention is generally described by the form 2.sup.q -C where C is an odd number and is relatively small, for example, no longer than the length of a computer word (16-32 bits).
The secure key generator 102 also transmits the information used to convert to the secure key from key source 103 to the encryption key e.sub.K. This information can be transmitted over an insecure channel, because it is impractical to recreate the encryption key from this information without knowing the private key.
At step 205, the receiver generates a deciphering key d.sub.K by raising the public key of the sender (myPri) to the private key of the receiver (theirPri) as follows: d.sub.K =(myPub).sup.theirPri (mod p) Equation (5) From Equation 1, myPub is equal to g.sup.myPri (mod p).
cr.yp.to /patents/us/5271061/text   (7865 words)

  
 Talk:Foundational status of arithmetic - Wikipedia, the free encyclopedia
So I formulated "generatics", from "generate", to avoid bio-confusion and to resemble the term "axiomatics", which is found throughout the literature.
Furthermore, the generative methodology, in the form of recursion, is also as ancient as the gnomon used by Pythagoras and the [Pythagoreans]] to label rpresentations of the unit of a basis to generate number patterns and enable their comprehension, as shown in Figurate numbers.
In arithmetic, operations on numbers of a system are supposed to reproduce numbers of the same kind of system.
www.wikipedia.org /wiki/Talk:Generatics   (2521 words)

  
 SE8 Compiler Design - Code Generation
A stack of registers is used for arithmetic (not to be confused with the stack of frames for procedure activation).
generate efficient code sequences, although the code for boolean expressions in general is rather cumbersome.
In generating assembly code or machine code we always have the problem of jumps which are to a destination ahead of where we currently are -- known as forward jumps.
www.personal.leeds.ac.uk /~ecldh/se8/codegen.html   (703 words)

  
 TSP: Chapter 4
New variables can be generated by performing arithmetic operations on variables previously loaded or generated.
Generating new variables is another way of saying transforming old variables.
Note that, logically, a certain number of observations are lost in generating a lagged variable.
www.albany.edu /econ/tsp/tsp-4.html   (924 words)

  
 Current mode arithmetic logic circuit with parity prediction and checking - Patent 4084253   (Site not responding. Last check: 2007-08-20)
A current mode arithmetic logic circuit utilizes a unique combination of a 4-bit and a 5-bit arithmetic logic unit for performing parity prediction and parity checking on an n-bit byte plus parity, in addition to performing 16 binary or 16 Boolean operations on two n-bit plus parity bytes.
In the case where n=5, the 5-bit arithmetic logic unit is utilized to perform the basic arithmetic and logic functions, and the 4-bit arithmetic logic unit is utilized to perform the parity prediction, parity checking, and carry checking operations.
The 5-bit arithmetic logic unit 10 is used in conjunction with a 4-bit arithmetic logic unit 20 to perform the desired arithmetic and logic functions, and most importantly in terms of the objects of the present invention, to perform the parity prediction, parity checking, and carry checking operations.
www.freepatentsonline.com /4084253.html   (3213 words)

  
 Peano axioms   (Site not responding. Last check: 2007-08-20)
This theory constitutes a fundamental formalism for arithmetic, and the Peano axioms form a basis for the formalisation of stronger theories, such as second-order arithmetic.
Peano arithmetic raises a number of metamathematical and philosophical issues, primarily involving questions of consistency and completeness.
The Peano axioms may be interpreted in the general context of category theory.
www.free-download-soft.com /info/college-arapahoe-college-community.html   (1818 words)

  
 Generating function - Enpsychlopedia   (Site not responding. Last check: 2007-08-20)
The particular generating function that is most useful in a given context will depend upon the nature of the sequence and the details of the problem being addressed.
Generating functions are often expressed in closed form as functions of a formal argument x.
However, it must be remembered that generating functions are formal power series, and they will not necessarily converge for all values of x.
www.grohol.com /psypsych/Generating_function   (698 words)

  
 Knowledge King - Generating arithmetic   (Site not responding. Last check: 2007-08-20)
The familiar successor operation, S(n) = n + 1, n = 0, 1, 2,..., n = 0, 1, 2,..., which generates Natural numbers, for example, S(S(S(S(S(S(S(0))))))) = 7, is implicitly the "begat operation", B(n) = n + 1, wherein the nth generation begats the n + 1 generation, beginning with Adam as n = 0.
In the 19th century when the great Irish mathematician William Rowan Hamilton created the concept and name of vector and generated complex numbers as vectors (ordered pairs) from the real numbers'.
At one of the early international meetings of mathematicians, Henri Poincaré said, "Mathematics has been arithmetized." (Carl Boyer devotes Ch.
www.knowledgeking.net /encyclopedia/g/ge/generating_arithmetic.html   (708 words)

  
 Luiz Henrique de Figueiredo: Abstracts
Affine arithmetic (AA) is a more complex and expensive computation model, designed to give tighter and more informative bounds than IA in certain situations where the latter is known to perform poorly.
Affine arithmetic is similar to standard interval arithmetic, but takes into account correlations between operands and sub-formulas, generally providing much tighter bounds for the computed quantities.
These methods not only generate a combinatorial manifold approximating the surface, but also produce a structure that is well suited to numerical simulations in physically-based modeling and animation systems.
w3.impa.br /~lhf/abstracts.html   (2878 words)

  
 An Introduction to R
Generic functions and classes will be discussed further in Object orientation, but only briefly.
More generally, subsections of an array may be specified by giving a sequence of index vectors in place of subscripts; however if any index position is given an empty index vector, then the full range of that subscript is taken.
Arrays may be used in arithmetic expressions and the result is an array formed by element by element operations on the data vector.
rweb.stat.umn.edu /R/doc/manual/R-intro.html   (11858 words)

  
 An Introduction to R - Simple manipulations; numbers and vectors   (Site not responding. Last check: 2007-08-20)
Vectors can be used in arithmetic expressions, in which case the operations are performed element by element.
In addition all of the common arithmetic functions are available.
More generally any expression that evaluates to a vector may have subsets of its elements similarly selected by appending an index vector in square brackets immediately after the expression.
www.ugcs.caltech.edu /info/R/R-intro_3.html   (1628 words)

  
 Program for generating method retrieval information and an arithmetic processing apparatus - usptntsrv
According to the hashing, a character string providing method name and message for method call is converted into a hash value, and a hash table is generated associating the hash value and the storage location of the method.
Thereby, when setting of overwriting methods is changed, compilation only for the class to be changed is necessary to be repeated and setting the hash table of the class has only to be changed, so that design change of programs may be easily resolved.
In order to avoid such collision, according to a separation chain method or open address hashing, unique retrieval keys are respectively set to the hash values in connection, resulting in complication of the data construction and increase of the memory capacity.
www.uspatentserver.com /685/6856998.html   (477 words)

  
 Floating-point numbers - General view
The arithmetical operations are defined between such sets and is a natural extension of the arithmetic of rational numbers.
The result of an arithmetical operation usually will have more binary digits than its operands, and will have to be converted to one of the 'allowed' bit-patterns.
On IBM 360, IBM 370 and Nova (Data General) computers, the base of the exponent was 16 (it gives a larger range at the cost of precision): x = f X (16 ** e) The normalization condition was that the first HEX digit of the fraction was not equal to 0, i.e.
www.ibiblio.org /pub/languages/fortran/ch4-1.html   (1200 words)

  
 Method for scheduling a flag generating instruction and a subsequent instruction by executing the flag generating ...
The flag generating instruction may be any instruction that generates at least one flag.
However, placing the arithmetic result, intermediate flag generation data, and even AFLAGS in a single register may be useful in certain circumstances such as data dependency checking.
As is known by those skilled in the art, flag generation depends on both the operand size and the flag generating instruction.
www.freepatentsonline.com /6049864.html   (3242 words)

  
 The structure of arithmetic expressions
A similar set of rules for defining arithmetic expressions is shown in Figure
These rules say how arithmetic expressions may be structured.
We can read the first of these as ``an equation (Eq) can consist of two expressions (Ex) separated by an equals sign'', and the fourth as ``a number N can be any of the characters between 1 and 9''.
www.cogsci.ed.ac.uk /study/ug/hc1h/course/courseware/content/notes/node56.html   (256 words)

  
 somusar/Tefigel: A Tutorial Introduction - Chapter 4
Tefigel has been designed mainly for generating text files and not for complex, general-purpose software systems.
Simple arithmetic computations: two divisions on lines 5 and 9, and a subtraction on line 7.
As for arithmetic computation, the language constructs for boolean computation are very primitive in Tefigel: the set of boolean instructions consists of instructions
www.somusar.com /doc/booklets/tefigel_tut/chapter4   (409 words)

  
 Layout Generation Of Bidimensional Regular Arrays In The Madmacs Environment (ResearchIndex)
As there is a wide range of regular arrays, a single generator is not feasible.
These generators are developed using the Lisp language.
2 The datapath generator (context) - Shrobe - 1982
citeseer.ist.psu.edu /344069.html   (361 words)

  
 Method and apparatus for efficiently generating, storing, and consuming arithmetic flags between producing and ...
Method and apparatus for efficiently generating, storing, and consuming arithmetic flags between producing and consuming macroinstructions when emulating with microinstructions page
Method and apparatus for efficiently generating, storing, and consuming arithmetic flags between producing and consuming macroinstructions when emulating with microinstructions
A device and approach for well making arithmetic flags in a processor arrangement.
www.patentalert.com /docs/001/z00138985.shtml   (158 words)

  
 MkPCB - The PCB Maker   (Site not responding. Last check: 2007-08-20)
Of course, the warning and error messages are printed as usual, but in normal case no such messages are generated.
You can generate dynamically linked binaries easily, by changing the uplevel Makefile (there are comments on how to do this).
To run the MkPCB system correctly, all the executables (which are generated in the bin/ directory) must be reached by the system.
mkpcb.sourceforge.net /en/download.html   (593 words)

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