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It's still teaching letters and numbers, but "now we're raising the bar," Ms. Housley-Juster said, showing, for example, that the same number can be created from different groupings of objects or that a letter can have different sounds.
While it can be demonstrated by example that the same result is obtained by the two algorithms, no generalised proof of their equivalence has previously been presented.
As a consequence, we obtain a condition on the Lefschetz number L ( f ) of f that implies the existence of fixed points of f in X ∖ A. We demonstrate by an example that the same Lefschetz number condition is not sufficient to imply the existence of fixed points in X ∖ A for maps f : ( X, A ) → ( X, A ) in general.
There is no reason for it to be linear and there is evidence in physical functioning, for example, that the same differences in scores at the lower end of the scale indicate larger differences in functioning than at the upper end [ 8].
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Entangled photons have certain aspects — polarization, for example — that are the same for both regardless of distance — in fact, the satellite will test that at 1,200 km, which will set a new record.
Nor is it always clear whether these data are sufficient to control for potential bias, because we know, for example, that within the same socioeconomic category there are many important differences in terms of health, behavior, lifestyles, social networks, etc. [ 58, 59].
Thus, the government said, the additional evidence involving companies like Intel and Apple was not an expansion of the original complaint, but merely further examples that fit the same pattern of behavior.
In particular, quantum mechanics offers a deep understanding of the arrangement of elements in the periodic table, showing, for example, that elements in the same column of the table should have similar properties.
In his Berlin talk, Dr. Falk also cited an American real-world example that points to the same conclusion.
For example, imagine that the same basic principle underlies legitimate political regimes and legitimate medical experimentation.
However, the following example shows that the same result of Theorem 1 is not true in non-Archimedean normed spaces.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com