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System of equations and Einstein notation

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#linear-algebra #systems-of-equations #index-notation
103
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$3(a+{1\over a}) = 4(b+{1\over b}) = 5(c+{1\over c})$ and $ab+bc+ca=1$

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#algebra-precalculus #systems-of-equations #euclidean-geometry #triangles
32
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Solve matrix multiplication problem

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#linear-algebra #matrices #systems-of-equations
56
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For which $a, b$ in $(-1,1)$ does $\frac{1}{3}x^3-a^2x+b=0$ have three real solutions?

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#algebra-precalculus #systems-of-equations #cubics
77
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How to discuss the solution of this equation system in Function of Lambda

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#matrices #systems-of-equations #solution-verification #matrix-equations
40
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What type of PDE is this and what conditions determine the existence of a solution?

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#partial-differential-equations #systems-of-equations #nonlinear-system #stochastic-differential-equations #stochastic-pde
63
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Solving systems of equations by means of geometric construction

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#systems-of-equations #euclidean-geometry
65
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Let $a, b, c, d \in \mathbb R$. Given that $a^2 + c^2 = 1$, $b^2 + d^2 = 1$, and $ab + cd = 0$, show that $|ad - bc| = 1$.

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#systems-of-equations
118
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Eliminating $y$ from the system $cx − sy = 2$ and $sx + cy = 1$, where $c=\cos\theta$, $s=\sin\theta$

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#algebra-precalculus #trigonometry #systems-of-equations
194
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Numerically find the half-iterate of a quadratic

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#systems-of-equations #roots #quadratics #fractional-iteration
56
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Driving the state of a discrete system to zero in one step

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#recurrence-relations #systems-of-equations #dynamical-systems #control-theory #linear-control
55
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Excludе $x$ frоm this systеm оf equаtiоns.

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#algebra-precalculus #systems-of-equations #discriminant
29
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System of equations involving 3 variables , whether it it solvable for real values of k

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#algebra-precalculus #systems-of-equations
2.2k
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Classification of Critical Points of Second Order Differential Equation

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#ordinary-differential-equations #systems-of-equations
48
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How to solve PDE $(xz-y) \frac{\partial{z}}{\partial{x}} + (yz-x) \frac{\partial{z}}{\partial{y}}=1-z^2$ using characteristic system of equations

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#partial-differential-equations #systems-of-equations

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