The phrase "a proper element" is correct and usable in written English.
It can be used when referring to an appropriate or suitable component within a specific context, such as in discussions about design, structure, or categorization.
Example: "In order to create a balanced composition, it is essential to include a proper element that complements the overall theme."
Alternatives: "an appropriate component" or "a suitable part".
Let (x_{lambda}) be a proper element of an eigenvalue λ of A, that is, (Ax_{lambda}=lambda x_{lambda}).
During Prime Minister's Questions, Mr Cameron said: "Last night's vote will be seen not just as making sure there is a proper element of equality, but also helping us to build a stronger and fairer society.
By (3.3) and (3.18) problem (1.1) has a positive solution (u_{r}(t)) associated with (lambda>0) if and only if the operator T has a proper element (y_{r}) associated with the eigenvalue (frac {1}{lambda}>0).
By Lemma 2.4, for any (R>beta_{0}), the operator T has a proper element (v_{R}in K) associated with the eigenvalue (mu_{R}>0), further (v_{R}) satisfies (Vert v_{R}Vert _{mathit {PC}^{1}}=R).
By Lemma 2.4, for any (r>bar{beta}_{0}), the operator T has a proper element (v_{r}in K) associated with the eigenvalue (mu_{r}>0), further (v_{r}) satisfies (Vert v_{r}Vert _{mathit {PC}^{1}}=r).
By Lemma 2.3, for any (r>R_{0}), the operator T has a proper element (y_{r}in K) associated with the eigenvalue (gamma>0); further, (y_{r}) satisfies (|y_{r}|=r).
In order to establish a proper finite element model of prototype RC girder with sand element for impact response analysis, dynamic response analysis of RC girders with sand cushion subjected to impact force due to weight falling from the height of H = 2.5, 5, 7.5 and 10 m was performed to improve the state of the art of protective design for real scale rock-sheds by using LS-DYNA code.
Like one of those dehydrated sponges which inflate to astonishing size when dropped into their proper element, Wheeler becomes a vastly different and more voluble person when he's on a trip (or recalling or anticipating a trip).
Such neighbor-dependent correlation inherent to the meso dyad is considered by assigning a parameter λ′ to the proper element of the Um″ matrix.
So the first thing is to establish a proper finite element model to do the parametric analysis.
Impedance spectroscopy measurement is a powerful technique to probe the physical processes, such as carrier transfer and recombination at internal interfaces, using a proper RC element [34, 35].
