Conjugate transpose: Difference between revisions

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In [[computer science]], '''domain relational calculus''' ('''DRC''') is a calculus that was introduced by Michel Lacroix and [[ Alain Pirotte]] as a [[declarative programming|declarative]] [[query language|database query language]] for the [[relational model|relational data model]].<ref name="LP77">Michel Lacroix, Alain Pirotte: Domain-Oriented Relational Languages. VLDB 1977: 370-378</ref>
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In DRC, ''queries'' have the form:
 
:<math> \{\langle X_1, X_2, ...., X_n \rangle \mid p(\langle X_1, X_2, ...., X_n\rangle) \} </math>
 
where each X<sub>i</sub> is either a domain variable or constant, and <math>p(\langle X_1, X_2, ...., X_n \rangle)</math> denotes a DRC ''formula''. The result of the query is the set of tuples X<sub>i</sub> to X<sub>n</sub> which makes the DRC formula true.
 
This language uses the same operators as [[tuple calculus]],
the logical connectives &and; (and), &or; (or) and &not; (not). The [[existential quantification|existential quantifier]] (&exist;) and the [[universal quantification|universal quantifier]] (&forall;) can be used to bind the variables.
 
Its computational expressiveness is equivalent to that of [[Relational algebra]].<ref name="Codd72a">[[E. F. Codd]]: Relational Completeness of Data Base Sub-languages. In R. Rustin, editor, Data Base Systems. Prentice Hall, 1972 </ref>
==Examples==
Let (A, B, C) mean (Rank, Name, ID)
 
and (D, E, F) to mean (Name, DeptName, ID)
 
Find all captains of the starship [[USS Enterprise (NCC-1701)|USS Enterprise]]:
 
<math>\left\{ \ {\left\langle A, B, C \right\rangle} \mid {\left\langle A, B, C \right\rangle \in \mathrm{Enterprise} \ \land \ A = \mathrm{Captain} } \ \right\}</math>
 
In this example, A, B, C denotes both the result set and a set in the table Enterprise.
 
Find Names of Enterprise crewmembers who are in Stellar Cartography:
 
<math>
\begin{align}
\{ {\left\langle B \right\rangle} & \mid {\exists A, C \ \left\langle A, B, C \right\rangle \in \mathrm{Enterprise} } \\
                              & \land \ {\exists D, E, F \ \left\langle D, E, F \right\rangle \in \mathrm{Departments} } \\
                              & \land \ F = C \ \land \ E = \mathrm{Stellar \ Cartography} \} \\
\end{align}</math>
 
In this example, we're only looking for the name, and that's B.  F = C is a requirement, because we need to find Enterprise crew members AND they are in the Stellar Cartography Department.
 
An alternate representation of the previous example would be:
 
<math>\left\{ \ {\left\langle B \right\rangle} \mid {\exists A, C \ \left\langle A, B, C \right\rangle \in \mathrm{Enterprise} } \ \land \ {\exists D \ \left\langle D, \mathrm{Stellar \ Cartography}, C \right\rangle \in \mathrm{Departments} } \ \right\}</math>
 
In this example, the value of the requested F domain is directly placed in the formula and the C domain variable is re-used in the query for the existence of a department, since it already holds a crew member's id.</pre>
 
Relational Data Model:
The Relational model uses relation (table) to represent both entities and relationships
among entities. A relation may be visualized as a table. However table is just one of the way, among many, to represent a relation.
== See also ==
*[[Relational algebra]]
*[[Relational calculus]]
**[[Tuple relational calculus]] (TRC)
* [[Aldat Relational Algebra]]
* [[Domain algebra]]
 
== References ==
 
<references/>
 
[[Category:Relational model]]
[[Category:Logical calculi]]

Revision as of 23:11, 16 February 2014

A person who is obese is not able to work efficiently.The bodily processes are moreover not carried properly and hence the individual gets subjected to numerous other illnesses too. With increasing weight, the immune program of the person starts to weaken plus he is unable to fight the germs plus bacteria attacking them.

The Grapefruit Diet. The grapefruit diet is one of the number one diets to lose weight fast. People participating inside this diet plan lose a typical of 10 pounds in less than 2 weeks. The grapefruit diet is low inside calories plus low in fat. During this diet, grapefruit is eaten at every meal with a tiny serving of greens and lean protein. The grapefruit diet is wonderful for rapid fat loss, yet must just be selected short-term to lose a limited amount of fat, such as 10 to 15 pounds.

The right time to do any cardio exercise is initially thing each morning before you eat anything. What happens is that because you haven't eaten anything during the night, as you're asleep, a body has to use calories which are stored in the body and burning calories is what we need if you need to lose weight.

Salads: You are able to have salads made of beetroot, tomato, capsicum, cucumber, cabbage, lettuce or carrot. Make it a staple diet. We can utilize lemon or yogurt as a dressing to add more taste. Sandwiches containing raw veggies are additionally good. However avoid using a butter-spread while creating the sandwich.

If you are measuring a protein consumption then for every pound of the bodyweight have about 0.5 grams of protein. This really is lose weight fast the amount you require to help the development of your lean muscles.

For instance, I'm 25 years older. 65% regarding my highest HR is definitely 120 surpasses per minute (which is a pre-set calculation dependant on my age). Thus, according to the 65% beats per minute theory, We burn probably the many fat as I a extremely long exercise having 120 surpasses per minute. In any event, I get issue with a pre-set max. Hour or thus being a similar for each time.

This really is a fun exercise plus anybody could do it. All we want is some superior significant beat music. We can moreover join a class, enjoy understanding a new dance shape and lose fat side by side. Quick step salsa, is a dance form that burns the maximum calories.