Elementarily equivalent
Elementarily equivalent In mathematics, specifically model theory, two structures ... a given language are said to be elementarily equivalent if their theories are the same; that ... the model Q of rational numbers are elementarily equivalent, since they both translate '<' as ...
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Ehrenfeucht–Fraïssé game
... technique for determining whether two structures are elementarily equivalent. Definition Suppose that we are given two ... math> and $\backslash mathfrak\{B\}$ are elementarily equivalent. If the set of relation symbols being ...
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Saturated model
... M which distinguish it from all other elementarily equivalent models, which is often the exact application ... into any other model of T. The equivalent notion for saturated models is that any "reasonably small" model of T is elementarily embedded in a saturated model, where "reasonably ...
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Prime number set   (translated from German)
... math> and $g(x)$ iterated equivalent, in formula way of writing $f\; ...\; math>x\{\backslash LN\; x\}$ are iterated equivalent. Stronger forms of the prime number set ... because the stammfunktion of 1ln(x) not elementarily is.) The integral logarithm is too < iterated equivalent;math>x{\LN x}, thus also ...
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Fraktionale infinitesimal analysis   (translated from German)
... the definition of the fraktionalen integrals are elementarily important are it as definitions to be ... mathrm{d}y the left-sided equivalent to be defined. Feedback of fraktionaler integrals ... to F(x) (and/or the fraktionale equivalent in addition) receives. So we have e ...
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Prime model
... math>M to which it is elementarily equivalent (that is, into any model $M\; ...\; at\; the\; very\; least\; it\; must\; be$elementarily embedded in such a model. This still ...
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Appendix that exposes in absolute way true science in the space   (translated from Italian)
... to demonstrate that proposizione, or an other equivalent (as as an example "the sum of ... the areas and the volumes risolubili problems elementarily, construction of one quadrato equivalent to a circle in the hypothesis of ...
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Value law   (translated from German)
... of the goods to their values, that Equivalent-from-dip, is according-to-law therefore ... behind the back" of humans; it works elementarily and spontaneously. Only by varying the prices ...
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More domicile-loosely   (translated from German)
... lots are persons without firm domicile. Historically equivalent terms are for example Nichtsesshafter , Gypsy , Homeless ... problematic, if it around the perception more elementarily Right one , like that Right to vote ...
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Stage theory (Harmonik)   (translated from German)
... chords. Since it is however substantially more elementarily developed, it has large advantages: With their ... points gradation and function theory are nearly equivalent, if one assumes the fifth stage is ...
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