The phrase "assumptions are needed" is correct and usable in written English.
You can use it when discussing the necessity of certain assumptions in a particular context, such as in research, analysis, or decision-making.
Example: "In order to proceed with the project, we must acknowledge that assumptions are needed about the market conditions."
Alternatives: "assumptions are required" or "assumptions are essential."
No other assumptions are needed in the control design.
No approximating assumptions are needed other than the usual assumption of a linear elastic system modelled by finite elements.
Assumptions are needed about, among other things, the size of the capital stock, the rate of capital depreciation and the level of workers' education.
In order to construct stable adaptive control systems, several assumptions are needed, and those require some prior information of unknown plants, such as degrees and relative degrees.
Potential dependence of interfacial viscosity has been determined in the absence of confinement of fluid between a probe and surface what provides useful comparison to probe-based methods where confinement is inherent to the measurement and where additional model assumptions are needed to separate confinement effects.
Moreover, we analyze our proposal by SVO Logic, which is one of formal methods to analyze cryptographic protocols [P. Syverson and P. C. van Oorschot. A Unified Cryptographic Protocol Logic. NRL CHAOS Report, 5540-227, 1996; P. Syverson and I. Cervesato. The Logic of Authentication Protocols. FOSAD'00, LNCS2171, pp.63-137, 2001], and show what assumptions are needed.
Even though the measuring error by the system was very small, approximations and assumptions were needed to reduce the workload and data size.
He also showed that no such system can prove its own consistency: a stronger set of logical assumptions is needed to prove the consistency of a weaker set (a result of profound importance in the theory of computing).
We study a fixed point of a countable family of pseudo-contractive mappings with hemicontinuity assumption, neither Lipschitz continuity nor closedness assumptions is needed.
Either knowledge of the left and right ventricular pressure waveforms were required or population-based assumptions were needed to identify the valvular resistances.
