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Topic: Method of successive substitution


In the News (Sun 29 Nov 09)

  
  D. Glossary
Understanding descriptors is a key to a deep understanding of Python because they are the basis for many features including functions, methods, properties, class methods, static methods, and reference to super classes.
method that returns the iterator object itself so every iterator is also iterable and may be used in most places where other iterables are accepted.
There are the local, global and builtin namespaces as well as nested namespaces in objects (in methods).
docs.python.org /tut/node18.html   (1512 words)

  
  NationMaster - Encyclopedia: Simultaneous equations
A common technique is the substitution method: Isolate the variable in one of the equations, and substitute that expression where that variable appears in another equation.
A common technique is the substitution method: try to solve one of the equations for one of the variables and substitute the result into the other equations, thereby reducing the number of equations and the number of variables by 1.
Another method is by plotting the equations on a graph, because the two equations represent straight lines in coordinate geometry and the coordinates of their point of intersection are the values of x and y that are true for both of them.
www.nationmaster.com /encyclopedia/Simultaneous-equations   (1361 words)

  
 [No title]
The Bisection Method, the Successive Substitution Method, Newton's Method, and the Secant Method are examples of these numerical methods.
Another method for solving equations is the method of successive substitution.
Successive substitution is a good method to use on simple equations that can be easily programmed on calculators, spreadsheets, and similar computational aids, but it is unreliable for general purpose computations.
www.cs.wisc.edu /~hasti/cs310/notes/Converge/ConvergeNotes.html?class=MathML   (3425 words)

  
  Method
D'Hondt method The d'Hondt method is a method for allocating seats in Victor d'Hondt.
Method of steepest descent In mathematics, the saddle-point method or method of steepest descent is a method used to app...
Silvester Method The Silvester Method is a method of artificial respiration.
www.brainyencyclopedia.com /topics/method.html   (1776 words)

  
 SSone.htm   (Site not responding. Last check: )
One quick method for finding a root is to program a programmable calculator to evaluate f for a given x, and then you supply various x until f(x) = 0.
These methods can be employed when the problem is not too hard and you only want to solve it once or twice and go on, or when a computer program is not available.
This method is difficult to apply to systems of equations, but it is usefully applied in the solution of ordinary differential equations.
faculty.washington.edu /finlayso/ebook/algebraic/SS/SSone.htm   (334 words)

  
 OhioLINK ETD: Serve', Brian   (Site not responding. Last check: )
A method for the synthesis of unsymmetrical peralkylated 1,3,5-triaminobezenes was developed.
Two sequential nucleophilic aromatic substitution reactions were performed using the non-coordinating solvent, methylene chloride, and the heterogeneous base, sodium carbonate.
With each successive substitution the Ru-complex becomes less reactive towards SNAr requiring higher temperatures as forcing conditions, which prematurely decomplexes the arene.
www.ohiolink.edu /etd/view.cgi?case1152813193   (211 words)

  
 [No title]
In 2D scatterplots, various smoothing methods are available to fit a function through the points to best represent (summarize) the relationship between the variables.
It is therefore the preferred method for evaluating the statistical significance of parameter estimates in stepwise or best-subset model building methods.
Other methods for combining the prediction from multiple models or methods (e.g., from multiple datasets used for learning) are Boosting and Bagging (Voting).
www.statsoft.com /textbook/gloss.html   (8802 words)

  
 Linear Algebra Methods
This method is equivalent to the method of Gaussian Elimination, which actually consists first of elimination and then back-substitution, but it facilitates the solution of many systems sharing the same matrix of coefficients by avoiding the duplication of many operations.
This is accomplished by the QR method, except for 2-by-2 blocks which correspond to complex conjugate pairs of eigenvalues.
If the successive approximations sequence were to be always started with [1] or any other fixed column vector instead of [RND] then it would always converge to the same eigenvector.
www.numericalmathematics.com /linear_algebra_methods.htm   (1346 words)

  
 Simultaneous equations -- Facts, Info, and Encyclopedia article   (Site not responding. Last check: )
A common technique is the substitution method: try to solve one of the equations for one of the variables and (A person or thing that takes or can take the place of another) substitute the result into the other equations, thereby reducing the number of equations and the number of variables by 1.
They are often used in (The application of mathematics and statistics to the study of economic and financial data) econometrics.
In (additional info and facts about modular arithmetic) modular arithmetic, simple systems of simultaneous congruences can be solved by the (additional info and facts about method of successive substitution) method of successive substitution.
www.absoluteastronomy.com /encyclopedia/s/si/simultaneous_equations.htm   (499 words)

  
 [No title]
The Bisection Method, the Successive Substitution Method, Newton's Method, and the Secant Method are examples of these numerical methods.
Another method for solving equations is the method of successive substitution.
Successive substitution is a good method to use on simple equations that can be easily programmed on calculators, spreadsheets, and similar computational aids, but it is unreliable for general purpose computations.
pages.cs.wisc.edu /~hasti/cs310/notes/Converge/ConvergeNotes.html?class=MathML   (3425 words)

  
 Programming Ruby: The Pragmatic Programmer's Guide
method to reindex the hash whenever a key hash is changed.
Substitutes the value matched by the nth grouped subexpression, or by the entire match, pre- or postmatch, or the highest group.
Class variables defined within singleton methods belong to the receiver if the receiver is a class or a module; otherwise, they belong to the class of the receiver.
www.ruby-doc.org /docs/ProgrammingRuby/html/language.html   (3224 words)

  
 HIGH-SECURITY CIPHER
A simple substitution is a permutation of the alphabet, or of the numbers representing the characters.
You need to look at the methods an enemy could use to discover reused sections of the key stream, and see how long the key stream must be to defeat these attacks.
A large number of substitutions is provided, but the length of the key stream is so long that the cipher would be secure even if all the messages were sent using the same substitutions.
www.mastersoftware.biz /crypt003.htm   (3667 words)

  
 Method of successive substitution
In modular arithmetic, the method of successive substitution is a method of solving problems of simultaneous congruences by using the definition of the congruence equation.
There is also an unrelated method of successive substitution, a randomized algorithm used for root finding, not currently discussed here.
Now substitute back into 3 + 4j and we obtain
www.algebra.com /algebra/about/history/Method-of-successive-substitution.wikipedia   (192 words)

  
 Programming Ruby: The Pragmatic Programmer's Guide
method to convert the string to an integer.
method extracts elements from a string that match a regular expression.
method we used previously, this is an indication that the method will modify the receiver in place, in this case converting the string to lowercase.
www.ruby-doc.org /docs/ProgrammingRuby/html/tut_stdtypes.html   (3925 words)

  
 ACOUSTICS INDIA PRIVATE LTD - NOISE POLLUTION CONTROL DIVISION
The reduction of noise level by the introduction of noise control device established by the substitution method of test, or by "before and after" testing.
A set of values measured by a specific test method to establish the actual amount of sound that will be stopped by the material, partition or panel, when located between two reverberation rooms.
A set of values measured by a specific test method to establish the actual amount of noise that will be stopped by the material, partition or panel when placed between two reverberation rooms.
www.acousticsind.com /terminolgy_definition.asp   (1930 words)

  
 Zend Framework: Documentation
In this case, each successive line must be padded with whitespace such that both the keys and the values are aligned:
This can hinder readability and can also break code if a method is later changed to return by reference.
It is not necessary to use the "@access" tag because the access level is already known from the "public", "private", or "protected" construct used to declare the function.
framework.zend.com /manual/en/coding-standard.coding-style.html   (1011 words)

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