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Motivated by an Conjecture in the literature "Dynamics of Second Order Rational Difference Equations with Open Problems and Conjecture", we introduce a difference equation system: x n + 1 = y n + y n − 2 x n − 1, y n + 1 = x n + x n − 2 y n − 1 Open image in new window.
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Figure 1 A student contributing to a discussion of a conjecture in the animation The Square".
Also we propose a conjecture on an α-analogue of the determinant and permanent.
For Dr Perelman, transforming a conjecture into a theorem appears to have been prize enough.
By contrast, this challenge is inappropriate for either a conjecture or a guess.
Compare Bertrand de Jouvenel's basic concept of 'conjecture": A conjecture is a justified hypothesis about the future.
We also provide a counter example to a conjecture of Duncan and Paterson.
As he writes, "A conjecture, then, is a positive assertion that participates in truth as it is, but in otherness".
A goal for a task could be the construction of a conjecture.
A conjecture on the eigenvalues of a trigonometric matrix is posed with a partial proof given.
The asymptotic results require a conjecture on the rank of a modified square distance matrix.
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Since I tried Ludwig back in 2017, I have been constantly using it in both editing and translation. Ever since, I suggest it to my translators at ProSciEditing.
Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com