The phrase "analyzes the existence" is correct and usable in written English.
It can be used in contexts where one is examining or studying the presence or reality of something.
Example: "The researcher analyzes the existence of various species in the ecosystem to understand biodiversity."
Alternatives: "examines the presence" or "investigates the reality".
This paper analyzes the existence and uniqueness issues in a class of multivalued Lur'e systems, where the multivalued part is represented as the subdifferential of some convex, proper, lower semicontinuous function.
The current section analyzes the existence and computation of equilibria.
In particular, the paper analyzes the existence and the order structure of Nash equilibria for extended (semi-) uniform g-modular games in which the strategy space is a CPO, and the joint best reply correspondence satisfies monotonicity requirements weaker than that of Veinott.
This paper presents an approach for identifying and analyzing the existence and severity of implicit interactions in distributed systems.
Obtained total energies of the complexes were used to analyze the existence probability of each H-bonding configuration.
Firstly, we analyzed the existence and stability of equilibria for the system and proved the existence of forward and backward bifurcations.
In this paper, we propose a theoretical framework to systematically analyze the existence and the profiles of chemical oscillations in gene regulatory networks with negative cyclic feedback.
Raman scattering spectroscopy was used to analyze the existence of sp2 and sp3 chemical bonds of DLC films and the nature of silicon structures in the silicon interlayer.
On the other hand, we analyze the existence of absorbent, idempotent and neutral elements for such class of functions and, thus, we design techniques that allow to discard those functions that are not useful for merging metrics.
