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Topic: Cartesian product


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In the News (Tue 14 Feb 12)

  
  No More Headaches with the Cartesian Product @ POWERBUILDER DEVELOPER'S JOURNAL
Cartesian product n (1958) : a set that is constructed from two given sets and comprises all pairs of elements such that the first element of the pair is from the first set and the second is from the second set (Merriam Webster's Collegiate Dictionary, Tenth Edition)
The number of rows in a Cartesian product of two tables is equal to the number of rows in the first table times the number of rows in the second table.
The Cartesian product of the employee and department tables is 375 (75 * 5).
pbdj.sys-con.com /read/42173.htm   (2067 words)

  
 SQL Cartesian Joins - FluffyCat.com
A Cartesian join is when you join every row of one table to every row of another table.
Note: To make your own Cartesian join at home all you really need is to take your basic select with two or more tables and remove the where clause.
In general a cartesian join is very resource intensive, and it's usually done by accident.
www.fluffycat.com /SQL/Cartesian-Joins   (413 words)

  
  Cartesian Product | polyhedra.mathmos.net
This new set, the cartesian product, is usually denoted
This definition may be extended in the obvious way to form the cartesian product of more than two sets.
Its elements are those of the cartesian product of the sets of elements of the two original groups.
polyhedra.mathmos.net /entry/cartesianproduct.html   (63 words)

  
  Cartesian product   (Site not responding. Last check: )
Example: The Cartesian product of {a, b} and {1, 2} is { (a, 1), (a, 2), (b, 1), (b, 2) }.
Cartesian products get their name from the now extremely well-known approach of René Descartes of drawing x, y coordinates in a plane.
The plane is their Cartesian product: every point in the plane is a distinct combination of numbers taken from the x axis and the y axis.
greenlightwiki.com /heuristic/Cartesian_product   (146 words)

  
  Cartesian product - Wikipedia, the free encyclopedia
The Cartesian product is named after René Descartes whose formulation of analytic geometry gave rise to this concept.
The assertion that the Cartesian product of a non-empty collection of non-empty sets is non-empty is equivalent to the axiom of choice.
Categorically, the cartesian product is the direct product in the Category of sets.
en.wikipedia.org /wiki/Cartesian_product   (562 words)

  
 Cartesian Product
The Nuprl notation is very similar to the set--theoretic notation, where a cartesian product is written
The pair decomposition rule is the only Nuprl rule for products that is not as one might expect from cartesian products in set theory or from record types in programming.
One reason for this is that it allows a single form which is the inverse of pairing.
www.cs.cornell.edu /Info/Projects/NuPrl/book/node37.html   (363 words)

  
 cartesian product - OneLook Dictionary Search
Cartesian product : The American Heritage® Dictionary of the English Language [home, info]
Cartesian product : FOLDOP - Free On Line Dictionary Of Philosophy [home, info]
Phrases that include cartesian product: cartesian product of graphs, cartesian product of groups, cartesian product of vector spaces
www.onelook.com /?w=cartesian+product   (184 words)

  
 Set theory
When a beautiful Blondie wants to choose what to wear for a date, she does not usually think about Cartesian product of sets, but she might.
An ordered pair consists of two elements, for example a and b, in which one of them, let it be a, is designated as the first element and the other as the second element.
The Cartesian product of a non-empty family of non-empty sets is non-empty.
library.thinkquest.org /C0126820/cartesian.html   (607 words)

  
 Direct product - Psychology Central   (Site not responding. Last check: )
The direct product for vector spaces (not to be confused with the tensor product) is very similar to the one defined for groups above, using the cartesian product with the operation of addition being componentwise, and the scalar multiplication just distributing over all the components.
The product topology for infinite products has a twist, and this has to do with being able to make all the projection maps continuous and to make all functions into the product continuous if and only if all its component functions are continuous (i.e.
Products (with the product topology) are nice with respect to preserving properties of their factors; for example, the product of Hausdorff spaces is Hausdorff; the product of connected spaces is connected, and the product of compact spaces is compact.
psychcentral.com /psypsych/Direct_product   (1098 words)

  
 Cartesian Product   (Site not responding. Last check: )
Cartesian product is an operator on sets (tuples, bags,...).
The result from the cartesian product of n sets, is a set of all possible ordered 2-tuples, containing on i-th place an element from i-th set.
For example, the cartesian product of {a,b,c} and {c,d,e} is {(a,c),(a,d),(a,e),(b,c),(b,d),(b,e),(c,c),(c,d),(c,e)}.
www.c2.com /cgi-bin/wiki?CartesianProduct   (282 words)

  
 Cartesian Product
Cartesian product enables you to generate a report containing all combinations of non‑related records or data instances in a multi‑path request.
Cartesian product is performed on the lowest segment common to all paths, whether or not a field in that segment is referenced.
When CARTESIAN is set to OFF (the default), the same request results in a report from the CAR data source containing a list of models and standards without logical relationships.
www.bgsu.edu /its/admin/focus/mf_reports/mrg8.htm   (307 words)

  
 Cartesian Product and Tuples
As an example, consider the cartesian product of the set of natural numbers and the set of Boolean values.
The cartesian product is then the set of all ordered pairs of the form (n,b) where
The concept of a cartesian product may be more clearly understood by considering the following situation.
scom.hud.ac.uk /scomtlm/book/node28.html   (261 words)

  
 Cartesian product definition - Dictionary - MSN Encarta
Cartesian product definition - Dictionary - MSN Encarta
Search for "Cartesian product" in all of MSN Encarta
product of elements from two sets: a set of all the pairs of elements from two sets that have their first element from the first set and the second from the second set
encarta.msn.com /encnet/features/dictionary/DictionaryResults.aspx?refid=1861687218   (97 words)

  
 Ascertain: revenue assurance solutions and technical consulting for telcos from Cartesian
Ascertain is a suite of tools that combine to address the revenue assurance and data integrity needs of telecoms operators.
Cartesian’s Ascertain product group was established to develop and support a comprehensive suite of product components focusing on the increasingly important areas of revenue assurance and data integrity.
We’d be happy to talk about both our revenue assurance consulting capabilities and how our products could benefit the way your company operates.
www.cartesian.co.uk /products   (302 words)

  
 Cartesian Product of Functions
some useful and explanatory properties of the product and also the curried and uncurried functions are shown.
Besides, the functions yielding functions are considered: two different products and other operation of such functions are introduced.
the union ($X^{\biguplus_{x}f(x)} \approx \prod_{x}X^{f(x)}$) and quasi-distributivity of the product w.r.t.
mizar.org /JFM/Vol3/funct_6.html   (149 words)

  
 منتدى الهاكات بلاقن برودكت Product - Plugins - hacks
[ Products ] إحصائية المنتدى في الصفحة الرئيسية المتقدم
[Product] : نظام نقاط التقييم للموضوع الجديد والردود على حسب القسم : humax9110 (
[Product] : شريط آخر المشاركات او المواضيع - الإصدار الثالث (
www.bdr130.net /vb/f48.html   (257 words)

  
 Doing More with Data Management : Combining Data Using a Cartesian Product Match Merge
In this section, you use Combine on the Data Management menu to perform a Cartesian product match merge using the AIRLINE.SCHEDULE and AIRLINE.STAFF sample tables.
This Cartesian product matches the first name and last name of each employee to the flights to which they are assigned.
The employee and the schedule information are matched using the employee number found in both tables.
www.sfu.ca /sasdoc/sashtml/dasst/z0930837.htm   (599 words)

  
 Set ** Set -- Cartesian product
-- form the Cartesian product of two sets.
** -- a binary operator, usually used for tensor product
Next more general method: Tally ** Tally -- Cartesian product of tallies
www.msri.org /about/computing/docs/macaulay/2-0.9/0675.html   (82 words)

  
 Cartesian product of a list of lists
Rolf Ade posted a question to the chat asking how to form the Cartesian product of a set of lists.
KBK 2004-07-28: Note that expanding a large Cartesian product can consume large amounts of memory.
It's often more useful to iterate some script for each element of the cross product.
wiki.tcl.tk /2546   (348 words)

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