Examples of inconsistent system in the following topics:
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- For linear equations in two variables, inconsistent systems have no solution, while dependent systems have infinitely many solutions.
- An inconsistent system has no solution, and a dependent system has an infinite number of solutions.
- We will now focus on identifying dependent and inconsistent systems of linear equations.
- A
linear system is consistent if it has a solution, and inconsistent
otherwise.
- We can also apply methods for solving systems of equations to identify inconsistent systems.
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- Systems of equations in three variables are either independent, dependent, or inconsistent; each case can be established algebraically and represented graphically.
- Inconsistent systems have no solution.
- Just as with systems of equations in two variables, we may come across an inconsistent system
of equations in three variables, which means that it does not have a
solution that satisfies all three equations.
- The final equation $0 = 2$ is a contradiction, so we conclude that the system of equations in inconsistent, and therefore, has no solution.
- Explain what it means, graphically, for systems of equations in three variables to be inconsistent or dependent, as well as how to recognize algebraically when this is the case
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- A linear system is consistent if it has a solution, and inconsistent otherwise.
- When the system is inconsistent, it is possible to derive a contradiction from the equations, that may always be rewritten such as the statement 0 = 1.
- are inconsistent.
- are inconsistent.
- In general, inconsistencies occur if the left-hand sides of the equations in a system are linearly dependent, and the constant terms do not satisfy the dependence relation.
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- A system of equations consists of two or more equations with two or more variables, where any solution must satisfy all of the equations in the system at the same time.
- To find the unique solution to a system of linear
equations, we must find a numerical value for each variable in the
system that will satisfy all of the system's equations at the same time.
- A solution to the system above is given by
- An inconsistent system has no solution.
- A dependent system
has infinitely many solutions.
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- Introduced by the sociologist Gerhard Lenski in the 1950s, status inconsistency theories predict that people whose statuses are inconsistent will be more frustrated and dissatisfied than people with consistent statuses.
- Sociologists investigate issues of status inconsistency in order to better understand status systems and stratification, and because some sociologists believe that positions of status inconsistency might have strong effects on people's behavior.
- This multifaceted framework provides the background concepts for discussing status inconsistency.
- Status inconsistency theories predict that people whose status is inconsistent, or higher on one dimension than one another, will be more frustrated and dissatisfied than people with consistent statuses.
- Discuss the concept of status inconsistency and how this phenomena can lead to frustration for people
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- Matrices can be used to compactly write and work with systems of multiple linear equations.
- Matrices can be used to compactly write and work with systems of equations.
- This is very helpful when we start to work with systems of equations.
- Thus, we want to solve a system $AX=B$, for $X$.
- No, if the coefficient matrix is not invertible, the system could be inconsistent and have no solution, or be dependent and have infinitely many solutions.
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- An example of conflict would be a value system based on individualism pitted against a value system based on collectivism.
- Conversely, a value system by itself is internally inconsistent if its values contradict each other and its exceptions are highly situational and inconsistently applied.
- An example conflict would be a value system based on individualism pitted against a value system based on collectivism.
- Individuals may have inconsistent personal values.
- Analyze a scenario in which a value system, either individual or collective, is shown to be internally inconsistent, and then resolve the conflict
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- Treaties as "the supreme law of the land. " The text decrees these to be the highest form of law in the U.S. legal system and mandates that all state judges must follow federal law when a conflict arises between federal law and either the state constitution or state law from any state.
- The Court found this Virginia statute inconsistent with the Treaty of Paris with Britain, which protected the rights of British creditors.
- The Court found that this would be inconsistent with the Supremacy Clause, which makes federal law superior to state law.
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- This provision required radio stations, television stations and cable systems, which originated their own programming, to treat legally qualified political candidates equally when it came to selling or giving away air time.
- The FCC has the authority to "make such regulations not inconsistent with law as it may deem necessary to prevent interference between stations and to carry out the provisions of [the] Act. "
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- In particular, business ethics is concerned with situations when those obligations are inconsistent with economic or strategic choices, or are in conflict with each other.