Examples of elimination method in the following topics:
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- The elimination method is used to eliminate a variable in order to more simply solve for the remaining variable(s) in a system of equations.
- The elimination method for solving systems of equations, also known as elimination by addition, is a way to eliminate one of the variables in the system in order to more simply evaluate the remaining variable.
- The elimination method can be demonstrated by using a simple example:
- In this example, the variable y can be eliminated if we multiply the top equation by $-2$ and then add the equations together.
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- The graphical method of solving a system of equations in three variables involves plotting the planes that are formed when graphing each equation in the system and then finding the intersection point of all three planes.
- After that smaller system has been solved, whether by further application of the substitution method or by other methods, substitute the solutions found for the variables back into the first right-hand side expression.
- Elimination by judicious multiplication is the other commonly-used method to solve simultaneous linear equations.
- As the equations grow simpler through the elimination of some variables, a variable will eventually appear in fully solvable form, and this value can then be "back-substituted" into previously derived equations by plugging this value in for the variable.
- Using the elimination method, begin by subtracting the first equation from the second and simplifying:
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- These methods require two steps, but they provide pure product, usually in good yield.
- In all three of these methods 3º-alkyl halides cannot be used because the major reaction path is an E2 elimination.
- The reaction of ammonia with aldehydes or ketones occurs by a reversible addition-elimination pathway to give imines (compounds having a C=N function).
- Acid chlorides react with ammonia to give amides, also by an addition-elimination path, and these are reduced to amines by LiAlH4.
- One important method of preparing 1º-amines, especially aryl amines, uses a reverse strategy.
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- The method does not involve any assumptions about the flow of the costs as in the other inventory costing methods.
- Conceptually, the method matches the cost to the physical flow of the inventory and eliminates the emphasis on the timing of the cost determination.
- Each method has advantages and disadvantages.
- The method does not involve any assumptions about the flow of the costs as in the other inventory costing methods.
- Conceptually, the method matches the cost to the physical flow of the inventory and eliminates the emphasis on the timing of the cost determination.
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- How should we proceed under the backward-elimination strategy?
- At each elimination step, we refit the model without each of the variables up for potential elimination.
- The forward-selection strategy is the reverse of the backward-elimination technique.
- The backward-elimination strategy begins with the largest model and eliminates variables one-by-one until we are satisfied that all remaining variables are important to the model.
- There is no guarantee that the backward-elimination and forward-selection strategies will arrive at the same final model using the p-value or adjusted R 2 methods.
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- The elimination of water from an alcohol is called dehydration.
- Base induced E2 eliminations of alcohols may be achieved if their sulfonate ester derivatives are used.
- The second example shows two elimination procedures applied to the same 2º-alcohol.
- The first uses the single step POCl3 method, which works well in this case because SN2 substitution is retarded by steric hindrance.
- The second method is another example in which an intermediate sulfonate ester confers halogen-like reactivity on an alcohol.
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- The scientific method can be applied to almost all fields of study as a logical, rational, problem-solving method.
- To test a hypothesis, a researcher will conduct one or more experiments designed to eliminate one or more of the hypotheses.
- It simply eliminates one hypothesis that is not valid.
- The scientific method may seem too rigid and structured.
- The scientific method consists of a series of well-defined steps.
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- Since alkoxide anions are strong bases, the possibility of a competing E2 elimination must always be considered.
- Bearing in mind the factors that favor substitution over elimination, a 1º-alkyl halide should be selected as a preferred reactant whenever possible.
- Thus, reaction #1 gives a better and cleaner yield of benzyl isopropyl ether than does reaction #2, which generates considerable elimination product.
- Acid-catalyzed dehydration of small 1º-alcohols constitutes a specialized method of preparing symmetrical ethers.
- At higher temperatures (over 150 ºC) an E2 elimination takes place.
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- LIFO is facing pressures from international standards boards that may result in its possible complete elimination.
- Congress for its possible complete elimination.
- Most of the developed countries, such as Australia, New Zealand, Canada and the European Community Union, have adapted IFRS by the year 2011.Under IFRS rules, LIFO is not a permitted acceptable accounting method.
- IFRS is balance sheet oriented and, on this basis, disallows LIFO as an inventory method.
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- Trying to eliminate waste in an organization without first conducting some form of reconnaissance is comparable to hacking one's way through a jungle without a map.
- Use and disposal methods (a description of how the product is thrown away as well as the current and future costs involved). ( ESSP CLP, ‘Product Stewardship through Life-cycle Analysis', Introduction to SustainableDevelopment for Engineering and Built Environment)