| 1. | Logical knowledge is represented by linear equations, or geometrically, a certainty hyperplane.
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| 2. | Then the model can be written as a system of linear equations:
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| 3. | This generates a set of linear equations with more equations than unknowns.
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| 4. | Equating the corresponding coefficients now results in this system of linear equations:
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| 5. | The equations you have are called " simultaneous linear equations ".
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| 6. | Systems with more variables than the number of linear equations are called underdetermined.
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| 7. | Thus, we can represent the logical relation as a linear equation:
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| 8. | This generalizes triangular systems of linear equations in a natural way.
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| 9. | Solving the resulting system of 3 linear equations gives unique solutions
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| 10. | The equation is referred to as the slope-intercept form of a linear equation.
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