The disclosed embodiments relate generally to extracting data from a collection of documents. More particularly, the disclosed embodiments relate to resolving ambiguities in dates that have been extracted from documents such as web pages.
Dates extracted from conflicting or unreliable sources have a variety of formats and usually contain a number of incorrect values or typographical errors. It is useful to have a way to increase the confidence of the collected information, to clarify ambiguous information, and to increase the accuracy in the date values.
What is needed is a method for resolving ambiguities and errors in date values associated with a topic so that date values related to that topic can be reliably determined.
In accordance with one aspect of the invention, a method may perform obtaining a first text string associated with an attribute; determining if the first text string conforms to one or more date formats; assigning a confidence value for each of the date formats for the first text string based on an amount of specificity with which the first text string conforms to each date format; obtaining a second text string associated with the attribute; determining if the second text string conforms to one or more of the date formats; assigning a confidence value for each of the date formats for the second text string based on an amount of specificity with which the second text string conforms to each date format; and merging a date format with a highest confidence value for the first text string and a date format with a highest confidence value for the second text string to obtain a date value for the attribute.
In one embodiment of the invention, a system may include a date formatter, having as input at least a first text string and a second text string, the date formatter to determine if the first text string conforms to one or more date formats and to determine if the second text string conforms to one or more date formats; a confidence assignor to assign a confidence value for each of the date formats based on an amount of specificity with which each text string conforms to each date format; and a merger to merge a date format with a highest confidence value for the first text string and a date format with a highest confidence value for the second text string to obtain a date value for the attribute.
a)-2(d) are block diagrams illustrating a data structure for facts within a repository of
e) is a block diagram illustrating an alternate data structure for facts and objects in accordance with preferred embodiments of the invention.
a) is a data flow diagram illustrating a date resolution janitor, according to one embodiment of the present invention.
b) is a data flow diagram illustrating a date resolution janitor, according to one embodiment of the present invention.
a)-5(b) are examples illustrating a method for resolving ambiguities in date values, according to one embodiment of the present invention.
c)-5(e) are examples illustrating a method for resolving ambiguities in date values, according to one embodiment of the present invention.
Embodiments of the present invention are now described with reference to the figures where like reference numbers indicate identical or functionally similar elements.
Document hosts 102 store documents and provide access to documents. A document is comprised of any machine-readable data including any combination of text, graphics, multimedia content, etc. A document may be encoded in a markup language, such as Hypertext Markup Language (HTML), e.g., a web page, in an interpreted language (e.g., JavaScript) or in any other computer readable or executable format. A document can include one or more hyperlinks to other documents. A typical document will include one or more facts within its content. A document stored in a document host 102 may be located and/or identified by a Uniform Resource Locator (URL), or Web address, or any other appropriate form of identification and/or location. A document host 102 is implemented by a computer system, and typically includes a server adapted to communicate over the network 104 via networking protocols (e.g., TCP/IP), as well as application and presentation protocols (e.g., HTTP, HTML, SOAP, D-HTML, Java). The documents stored by a host 102 are typically held in a file directory, a database, or other data repository. A host 102 can be implemented in any computing device (e.g., from a PDA or personal computer, a workstation, mini-computer, or mainframe, to a cluster or grid of computers), as well as in any processor architecture or operating system.
Janitors 110 operate to process facts extracted by importer 108. This processing can include but is not limited to, data cleansing, object merging, and fact induction. In one embodiment, there are a number of different janitors 110 that perform different types of data management operations on the facts. For example, one janitor 110 may traverse some set of facts in the repository 115 to find duplicate facts (that is, facts that convey the same factual information) and merge them. Another janitor 110 may also normalize facts into standard formats. Another janitor 110 may also remove unwanted facts from repository 115, such as facts related to pornographic content. Other types of janitors 110 may be implemented, depending on the types of data management functions desired, such as translation, compression, spelling or grammar correction, and the like.
Various janitors 110 act on facts to normalize attribute names, and values and delete duplicate and near-duplicate facts so an object does not have redundant information. For example, we might find on one page that Britney Spears' birthday is “12/2/1981” while on another page that her date of birth is “December 2, 1981.” Birthday and Date of Birth might both be rewritten as Birthdate by one janitor and then another janitor might notice that 12/2/1981 and December 2, 1981 are different forms of the same date. It would choose the preferred form, remove the other fact and combine the source lists for the two facts. As a result when you look at the source pages for this fact, on some you'll find an exact match of the fact and on others text that is considered to be synonymous with the fact.
Build engine 112 builds and manages the repository 115. Service engine 114 is an interface for querying the repository 115. Service engine 114's main function is to process queries, score matching objects, and return them to the caller but it is also used by janitor 110.
Repository 115 stores factual information extracted from a plurality of documents that are located on document hosts 102. A document from which a particular fact may be extracted is a source document (or “source”) of that particular fact. In other words, a source of a fact includes that fact (or a synonymous fact) within its contents.
Repository 115 contains one or more facts. In one embodiment, each fact is associated with exactly one object. One implementation for this association includes in each fact an object ID that uniquely identifies the object of the association. In this manner, any text string of facts may be associated with an individual object, by including the object ID for that object in the facts. In one embodiment, objects themselves are not physically stored in the repository 115, but rather are defined by the set or group of facts with the same associated object ID, as described below. Further details about facts in repository 115 are described below, in relation to
It should be appreciated that in practice at least some of the components of the data processing system 106 will be distributed over multiple computers, communicating over a network. For example, repository 115 may be deployed over multiple servers. As another example, the janitors 110 may be located on any text string of different computers. For convenience of explanation, however, the components of the data processing system 106 are discussed as though they were implemented on a single computer.
In another embodiment, some or all of document hosts 102 are located on data processing system 106 instead of being coupled to data processing system 106 by a network. For example, importer 108 may import facts from a database that is a part of or associated with data processing system 106.
a) shows an example format of a data structure for facts within repository 115, according to some embodiments of the invention. As described above, the repository 115 includes facts 204. Each fact 204 includes a unique identifier for that fact, such as a fact ID 210. Each fact 204 includes at least an attribute 212 and a value 214. For example, a fact associated with an object representing George Washington may include an attribute of “date of birth” and a value of “February 22, 1732.” In one embodiment, all facts are stored as alphanumeric characters since they are extracted from web pages. In another embodiment, facts also can store binary data values. Other embodiments, however, may store fact values as mixed types, or in encoded formats.
As described above, each fact is associated with an object ID 209 that identifies the object that the fact describes. Thus, each fact that is associated with a same entity (such as George Washington), will have the same object ID 209. In one embodiment, objects are not stored as separate data entities in memory. In this embodiment, the facts associated with an object contain the same object ID, but no physical object exists. In another embodiment, objects are stored as data entities in memory, and include references (for example, pointers or IDs) to the facts associated with the object. The logical data structure of a fact can take various forms; in general, a fact is represented by a tuple that includes a fact ID, an attribute, a value, and an object ID. The storage implementation of a fact can be in any underlying physical data structure.
b) shows an example of facts having respective fact IDs of 10, 20, and 30 in repository 115. Facts 10 and 20 are associated with an object identified by object ID “1.” Fact 10 has an attribute of “Name” and a value of “China.” Fact 20 has an attribute of “Category” and a value of “Country.” Thus, the object identified by object ID “1” has a name fact 205 with a value of “China” and a category fact 206 with a value of “Country.” Fact 30208 has an attribute of “Property” and a value of “Bill Clinton was the 42nd President of the United States from 1993 to 2001.” Thus, the object identified by object ID “2” has a property fact with a fact ID of 30 and a value of “Bill Clinton was the 42nd President of the United States from 1993 to 2001.” In the illustrated embodiment, each fact has one attribute and one value. The text string of facts associated with an object is not limited; thus while only two facts are shown for the “China” object, in practice there may be dozens, even hundreds of facts associated with a given object. Also, the value fields of a fact need not be limited in size or content. For example, a fact about the economy of “China” with an attribute of “Economy” would have a value including several paragraphs of text, text strings, perhaps even tables of figures. This content can be formatted, for example, in a markup language. For example, a fact having an attribute “original html” might have a value of the original html text taken from the source web page.
Also, while the illustration of
c) shows an example object reference table 210 that is used in some embodiments. Not all embodiments include an object reference table. The object reference table 210 functions to efficiently maintain the associations between object IDs and fact IDs. In the absence of an object reference table 210, it is also possible to find all facts for a given object ID by querying the repository to find all facts with a particular object ID. While
d) shows an example of a data structure for facts within repository 115, according to some embodiments of the invention showing an extended format of facts. In this example, the fields include an object reference link 216 to another object. The object reference link 216 can be an object ID of another object in the repository 115, or a reference to the location (e.g., table row) for the object in the object reference table 210. The object reference link 216 allows facts to have as values other objects. For example, for an object “United States,” there may be a fact with the attribute of “president” and the value of “George W. Bush,” with “George W. Bush” being an object having its own facts in repository 115. In some embodiments, the value field 214 stores the name of the linked object and the link 216 stores the object identifier of the linked object. Thus, this “president” fact would include the value 214 of “George W. Bush”, and object reference link 216 that contains the object ID for the for “George W. Bush” object. In some other embodiments, facts 204 do not include a link field 216 because the value 214 of a fact 204 may store a link to another object.
Each fact 204 also may include one or more metrics 218. A metric provides an indication of the some quality of the fact. In some embodiments, the metrics include a confidence level and an importance level. The confidence level indicates the likelihood that the fact is correct. The importance level indicates the relevance of the fact to the object, compared to other facts for the same object. The importance level may optionally be viewed as a measure of how vital a fact is to an understanding of the entity or concept represented by the object.
Each fact 204 includes a list of one or more sources 220 that include the fact and from which the fact was extracted. Each source may be identified by a Uniform Resource Locator (URL), or Web address, or any other appropriate form of identification and/or location, such as a unique document identifier.
The facts illustrated in
Some embodiments include one or more specialized facts, such as a name fact 207 and a property fact 208. A name fact 207 is a fact that conveys a name for the entity or concept represented by the object ID. A name fact 207 includes an attribute 224 of “name” and a value, which is the name of the object. For example, for an object representing the country Spain, a name fact would have the value “Spain.” A name fact 207, being a special instance of a general fact 204, includes the same fields as any other fact 204; it has an attribute, a value, a fact ID, metrics, sources, etc. The attribute 224 of a name fact 207 indicates that the fact is a name fact, and the value is the actual name. The name may be a string of characters. An object ID may have one or more associated name facts, as many entities or concepts can have more than one name. For example, an object ID representing Spain may have associated name facts conveying the country's common name “Spain” and the official name “Kingdom of Spain.” As another example, an object ID representing the U.S. Patent and Trademark Office may have associated name facts conveying the agency's acronyms “PTO” and “USPTO” as well as the official name “United States Patent and Trademark Office.” If an object does have more than one associated name fact, one of the name facts may be designated as a primary name and other name facts may be designated as secondary names, either implicitly or explicitly.
A property fact 208 is a fact that conveys a statement about the entity or concept represented by the object ID. Property facts are generally used for summary information about an object. A property fact 208, being a special instance of a general fact 204, also includes the same parameters (such as attribute, value, fact ID, etc.) as other facts 204. The attribute field 226 of a property fact 208 indicates that the fact is a property fact (e.g., attribute is “property”) and the value is a string of text that conveys the statement of interest. For example, for the object ID representing Bill Clinton, the value of a property fact may be the text string “Bill Clinton was the 42nd President of the United States from 1993 to 2001.” Some object IDs may have one or more associated property facts while other objects may have no associated property facts. It should be appreciated that the data structures shown in
As described previously, a collection of facts is associated with an object ID of an object. An object may become a null or empty object when facts are disassociated from the object. A null object can arise in a number of different ways. One type of null object is an object that has had all of its facts (including name facts) removed, leaving no facts associated with its object ID. Another type of null object is an object that has all of its associated facts other than name facts removed, leaving only its name fact(s). Alternatively, the object may be a null object only if all of its associated name facts are removed. A null object represents an entity or concept for which the data processing system 106 has no factual information and, as far as the data processing system 106 is concerned, does not exist. In some embodiments, facts of a null object may be left in the repository 115, but have their object ID values cleared (or have their importance to a negative value). However, the facts of the null object are treated as if they were removed from the repository 115. In some other embodiments, facts of null objects are physically removed from repository 115.
e) is a block diagram illustrating an alternate data structure 290 for facts and objects in accordance with preferred embodiments of the invention. In this data structure, an object 290 contains an object ID 292 and references or points to facts 294. Each fact includes a fact ID 295, an attribute 297, and a value 299. In this embodiment, an object 290 actually exists in memory 107.
a) is a data flow diagram illustrating the role of a date resolution janitor 306, according to one embodiment of the present invention. As described above, a document 301 is processed by an importer 108 to locate a text string that may be a date. The document 301 may contain text with at least one numeral, such as “Britney Spears was born on December 2, 1981” or may only contain numerals and delimiters, such as “12/2/81.” According to one embodiment, date resolution janitor 306 determines whether at least one text string listed within document 301 conforms to one or more date formats, as described below with reference to
b) is a data flow diagram illustrating the role of a date resolution janitor 306, according to one embodiment of the present invention. Previously, fact 310 has been extracted from a document, such as a website, and may be stored within a computer memory. According to one embodiment, a determination is made whether at least one text string listed within fact 310 conforms to one or more date formats. Date resolution janitor 306 assigns confidence values based on the amount of specificity with which each text string conforms to the date format, and merges the date formats date formats with the highest confidence values, merged result 308.
For the purposes of illustration, a single document 301 is shown in
As shown in
The date resolution janitor 306 determines whether the text string conforms to one or more date formats 407, according to one embodiment. Determining whether a text string conforms to one or more date formats 407 may be accomplished in a variety of ways, including analyzing the syntax of the sentence where the numeral appears, examining the separators between numerals (e.g., slashes, commas, periods, spaces), looking for keywords (in various languages), or any of a variety of methods understood by one of ordinary skill in the art. In one embodiment, all text strings containing numerals within a document are assumed to be date values.
The examples below illustrate one method of determining whether text strings containing numerals conform to one or more date formats 407, according to one embodiment. The regular expressions of how “year”, “month”, “day” and so forth may be defined within the various date formats will be described below, beginning at paragraph 52.
In one embodiment, the following regular expression defines a date in ISO format (YYYY-MM-DD for year, month, day):
// Begin specific formats
// year-month-day (“ISO”)
// year
static const string iso_date(
static const RE iso_timespan_match(
In one embodiment, the following regular expression defines a date in United States date format (month, day, year):
// month-day-year (“US”)
// month-day
static const string us_date(
static const RE us_timespan_match(
In one embodiment, the following regular expression defines a date in European date format (day, month, year):
// day-month-year (“European”)
// month-year (Special case of European without a day.)
// day-month (Special case of European without a year.)
static const string european_date(
static const RE european_timespan_match(
In one embodiment, the following regular expressions are an example of how “year”, “month”, “day” and so forth may be defined within the various date formats described above.
In one embodiment, the following regular expression defines a year:
// A year can be any text string with up to 4 digits not surrounded by
// digits, with an optional bc/ad before or after. Note that this
// adds three parenthesized expressions: the bc/ad prefix, the numeric
// year, and the bc/ad suffix.
const string bc_ad(“((?i)a\\.?d\\.?|b\\.?c\\.?e?\\.?)”);
const string TimespanJanitor::year_match(
In one embodiment, the following regular expression defines a month:
const string TimespanJanitor::month_word(
“(?:(?<![a-z])(?:Jan|Feb|Mar|Apr|Jun|Jul|Aug|Sep|Sept|Oct|Nov|Dec)”
// Month can be any of 1-9 or 10-12, surrounded by non-text strings.
const string TimespanJanitor::month_text string(
// Note that this adds one parenthesized expression—the month in
// whatever form it's given.
const string TimespanJanitor::month_match(
In one embodiment, the following regular expression defines a numeric day:
// Day can be any of 1-9, 10-19 or 20-29, or 30 or 31, surrounded by
// non-digits. Note that this adds one parenthesized expression--
// the numeric day.
const string TimespanJaniton:day_text string(“(?:(?<\\d)”
In one embodiment, the following regular expression defines a day of the week word:
// Note that this adds one parenthesized expression—the day of the
// week.
const string TimespanJanitor::day_of_week_word(
In one embodiment, the following regular expression defines separators month, day and year:
const string TimespanJaniton:separator_without_spaces(“(?:\\.|-|,|/)+”);
const string TimespanJaniton:separator(“(?:\\.|-|,|/|\\s)+”);
In one embodiment, the following regular expression defines a range separator:
const string TimespanJaniton:range_separator(
If a text string does not conform to any date format, it may be removed from consideration 409. For example, the text string “123.456.7891111” would be removed from consideration because it does not match any of the regular expressions, according to one embodiment. However, the text string “123456.01.03.05” might not be removed, as a portion of the text string “01.03.05” may conform to one or more of the date formats.
a) illustrates an example of assigning confidence values 510 (411,
According to one embodiment, interpretations may be used to facilitate assigning confidence values. Interpretations may take various forms. As an example, an interpretation used may be YYYY-MM-DD, where the YYYY represents the four digit representation of a year, MM represents the two digit representation of month, and DD represents the two digit representation of day. This interpretation corresponds to the ISO dating conventions. For convenience, the format of YYYY-MM-DD is used throughout the Figures and discussion when discussing date interpretation, although other formats may be used. Other interpretations may have further specificity, such as time or day of week. In addition, any other desired interpretation may be used.
In
Both the US and European date format interpretations have two variables, “YY”, and would therefore be assigned the highest confidence among the possible date formats. However, the ISO convention, YY03-0M-0D, has four undefined variables, “YY03-0M-0D,” and therefore will be assigned a lower confidence, according to one embodiment. Those of ordinary skill in the art will recognize, as illustrated in the foregoing example, that more than one date format may have the same “highest confidence value.”
According to one embodiment, date formats containing higher specificity may be assigned higher confidence values that the string represents a date. As an example, “12:30:02 pm on July 9, 2023” would be tagged “very certain,” whereas “1996” would be tagged “maybe.” In addition, where an estimation has been made (e.g., that “1/2/03” has a year of “2003”), the confidence value may be reduced. One skilled in the art will recognize that the confidence values assigned may be, for example, text strings, words, graphics and other types of tags.
In contrast with string A, the date formats of strings B, C, D, and E respectively in
In another embodiment, Example E from
According to another embodiment, date format interpretations need not be used in assigning confidence values. Instead, confidence values can be assigned directly to one or more date formats without using an interpretation. For example, a higher confidence value can be assigned to a date format with more specificity than another format with less specificity (e.g. “January 12, 2004 at 12:01 p.m.” would have a higher confidence value than “1/12/04”).
Referring again to
In one embodiment, once confidence values have been assigned 411 for each format to which the text string conforms, the date format interpretations with the highest confidence values are merged 415. The merger of the date formats with the highest confidence values 415 may take place each time confidence values are assigned to date formats from a date source, after confidence values are assigned to date formats from many date sources, or at any other desired time. For example, the date source loop could also end after the date formats are merged (not shown), such that the loop would proceed from 403 to 415, with the date source loop ending after the merger 415 is completed.
The merger of date formats with the highest confidence values 415 may be carried out in many ways.
In
have a highest confidence rating in Example A, the described method looks at both. The “0M-0D” portion is noncontradictory for highest confidence date formats of Examples A and B.
In
Common merger, another way in which to merge highest confidence date formats, is illustrated in column 514 of
Unambiguous merger, another way to merge highest confidence date formats, is shown in column 516 of
Common merging 514 is preferred when the accuracy desired is high, according to one embodiment. Noncontradictory merging 512 is preferred when obtaining the most complete estimate is the desired outcome, according to one embodiment. Unambiguous merger 516 is useful where limited data is available and an estimate is needed, according to one embodiment. However, the accuracy of an unambiguous 516 and noncontradictory merger 512 may be diminished where the text string of data points is small. While
The merger of the highest confidence date formats of text strings from a plurality of sources, for an attribute of a single entity, is illustrated in
Common merger 514 results in a date format of YYYY-01-02. The month,“01”, is common to both sites. However, because the sites do not have the year in common, the “YYYY” variables cannot be resolved in the merged result using common merger 512.
As illustrated in
In addition, the result is the same if the websites 1, 2 and 3 were merged as an “unambiguous merger” 516. Because the month and day of website 2, “January 2”, is unambiguous, and the year of website 3 “2003” is unambiguous, the outcome would be “2003-01-02.”
Merging may take place at any desired time. In the examples discussed above with respect to
The merger comparison can be performed using a variety of thresholds. Different thresholds may be useful for different purposes. For example, after a threshold number of date sources with identical date formats for the same attribute are obtained, the determination may be made that the merged result is sufficiently accurate. As another example, if a threshold percentage of dates for an attribute have the same format, the method may not look at more text strings. The date format of the merged result may then be applied to all text strings that correspond to a date format from at least one domain from which the merged result was obtained. For example, one embodiment may assume that dates on all pages of a website have the same format until proven otherwise.
In addition, the method may allow application of particular rules in resolving ambiguity in date values. Such rules may be applied to ensure that an obtained date value is consistent with rules related to the attribute and/or to determine whether a text string is consistent with rules relating to an attribute.
In one embodiment, the known relationships of data for attributes may be examined for consistency among merged results. For example, a rule may be that the value of the date of birth attribute must be earlier than the value of the date of death attribute for a given entity. As another example, a rule may be that the value of a date of birth attribute must have a time, day, month, date and year.
Also, another rule may be that if the text strings fall under only one valid date format interpretation, the system may use that interpretation for all text strings on the domain (e.g., “01/17/2003” has only one valid interpretation of “2003-01-17” because “17” cannot represent a month). The system could also interpret a string that would be spell corrected to a date (e.g., “Februar 17, 1972” would be interpreted as “1972-02-17”). Another rule might discard dates that are outside of recognized boundaries (e.g., “6 May 196” would be discarded as outside of a rule that “YYYY for a living person is 1880<YYYY<2007”) or might only discard the components of the text string that are inconsistent with the rule (e.g., “6 May 196” would be interpreted as “YYYY-05-06”). Another rule might estimate dates as nearest to the closest century (e.g., Jan. 2, 2003 would assume the year was 2003, as opposed to 1903 or earlier). In addition, the system may also resolve date ambiguity by examining the global domain name extension (e.g., .uk, .jp, .us) of the page or domain from which the text string was obtained. One of ordinary skill in the art will recognize that additional rules to resolve ambiguity in date values could be applied.
Returning to
The method depicted in
Reference in the specification to “one embodiment” or to “an embodiment” means that a particular feature, structure, or characteristic described in connection with the embodiments is included in at least one embodiment of the invention. The appearances of the phrase “in one embodiment” in various places in the specification are not necessarily all referring to the same embodiment.
Some portions of the above are presented in terms of methods and symbolic representations of operations on data bits within a computer memory. These descriptions and representations are the means used by those skilled in the data processing arts to most effectively convey the substance of their work to others skilled in the art. A method is here, and generally, conceived to be a self-consistent sequence of steps (instructions) leading to a desired result. The steps are those requiring physical manipulations of physical quantities. Usually, though not necessarily, these quantities take the form of electrical, magnetic or optical signals capable of being stored, transferred, combined, compared and otherwise manipulated. It is convenient at times, principally for reasons of common usage, to refer to these signals as bits, values, elements, symbols, characters, terms, text strings, or the like. Furthermore, it is also convenient at times, to refer to certain arrangements of steps requiring physical manipulations of physical quantities as modules or code devices, without loss of generality.
It should be borne in mind, however, that all of these and similar terms are to be associated with the appropriate physical quantities and are merely convenient labels applied to these quantities. Unless specifically stated otherwise as apparent from the following discussion, it is appreciated that throughout the description, discussions utilizing terms such as “processing” or “computing” or “calculating” or “determining” or “displaying” or “determining” or the like, refer to the action and processes of a computer system, or similar electronic computing device, that manipulates and transforms data represented as physical (electronic) quantities within the computer system memories or registers or other such information storage, transmission or display devices.
Certain aspects of the present invention include process steps and instructions described herein in the form of a method. It should be noted that the process steps and instructions of the present invention can be embodied in software, firmware or hardware, and when embodied in software, can be downloaded to reside on and be operated from different platforms used by a variety of operating systems.
The present invention also relates to an apparatus for performing the operations herein. This apparatus may be specially constructed for the required purposes, or it may comprise a general-purpose computer selectively activated or reconfigured by a computer program stored in the computer. Such a computer program may be stored in a computer readable storage medium, such as, but is not limited to, any type of disk including floppy disks, optical disks, CD-ROMs, magnetic-optical disks, read-only memories (ROMs), random access memories (RAMs), EPROMs, EEPROMs, magnetic or optical cards, application specific integrated circuits (ASICs), or any type of media suitable for storing electronic instructions, and each coupled to a computer system bus. Furthermore, the computers referred to in the specification may include a single processor or may be architectures employing multiple processor designs for increased computing capability.
The methods and displays presented herein are not inherently related to any particular computer or other apparatus. Various general-purpose systems may also be used with programs in accordance with the teachings herein, or it may prove convenient to construct more specialized apparatus to perform the required method steps. The required structure for a variety of these systems will appear from the description below. In addition, the present invention is not described with reference to any particular programming language. It will be appreciated that a variety of programming languages may be used to implement the teachings of the present invention as described herein, and any references below to specific languages are provided for disclosure of enablement and best mode of the present invention.
While the invention has been particularly shown and described with reference to a preferred embodiment and several alternate embodiments, it will be understood by persons skilled in the relevant art that various changes in form and details can be made therein without departing from the spirit and scope of the invention.
Finally, it should be noted that the language used in the specification has been principally selected for readability and instructional purposes, and may not have been selected to delineate or circumscribe the inventive subject matter. Accordingly, the disclosure of the present invention is intended to be illustrative, but not limiting, of the scope of the invention, which is set forth in the following claims.
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