English example sentences with "equations"

In general, little is known about nonlinear second order differential equations.
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The problem will be easier to solve if you write the system of equations as a matrix.
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Do you know where these equations come from?
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You can resolve this as a system of equations.
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He didn't understand the concept of differential equations.
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Some quartic equations can be easily decomposed into quadratics.
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This system of linear equations has infinitely many solutions.
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This system of linear equations has exactly one solution.
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Differential equations are equations involving derivatives.
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Equations are just the boring part of mathematics. I attempt to see things in terms of geometry.
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He was truly a renowned professor who took the time to break every problem down step-by-step. Even a poor student like myself was able to follow along with and grasp such complex equations.
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The equations are very complicated.
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Unfortunately, the equations in fluid mechanics introduce further difficulties, that is, they are nonlinear.
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The finite element method enables us to find approximate solutions of partial differential equations.
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More than 100 years after he published his paper setting out the equations of general relativity, Einstein has been proved right once more.
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Quadratic equations have 2 roots.
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Tom loves non-linear differential equations.
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The only class Tom has ever failed was differential equations.
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The Euclidean algorithm serves not only to determine the greatest common divisor between two whole numbers, but also to solve Diophantine equations.
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The Euclidean algorithm serves not only to determine the greatest common divisor between two integers, but also to solve Diophantine equations.
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The reason that Tom likes this experiment so much is that it was done at school by his teacher, and he was the only boy in the class who wrote down the equations for the two reactions correctly.
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I'm no good at the log equations in this workbook.
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Even harmless-looking Diophantine equations with rather small coefficients can have absurdly large smallest solutions.
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A blackboard had been covered with math equations, which the teacher was explaining, using a machete as a pointer. Above the blackboard was a motto, probably intended to be inspirational: "Studying and following Uncle Ho's words, our hearts are brighter!"
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For now, we only know that wormholes exist in our hearts, and on paper in the form of equations.
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The students studied math equations all day long for the test.
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He examined the mysterious equations.
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Can you help me with differential equations?