any further assumptions

USAGE SUMMARY

The phrase "any further assumptions" is correct and usable in written English.
It can be used when discussing conditions or expectations that may arise in a conversation or analysis, particularly when clarifying or limiting the scope of a discussion. Example: "Before we proceed, let's clarify if there are any further assumptions we need to consider regarding the project's timeline."

✓ Grammatically correct

Science

News & Media

Formal & Business

Human-verified examples from authoritative sources

Exact Expressions

10 human-written examples

However, the global convergence of PRSM cannot be guaranteed without any further assumptions on the model (2).

Journal of Inequalities and Applications

However, there are only 2NM observations, so without any further assumptions, the system of equations is under-determined, and the localization problem not well defined.

EURASIP Journal on Wireless Communications and Networking

Here, we demonstrate that when it is combined with the pressure-gradient correction proposed by Morris et al., the method is also suitable for solving the Navier Stokes equations for incompressible flows without any further assumptions.

Journal of Computational Physics

Besides presuming a point source, the TIA does not need any further assumptions neither about the source of the ejecta nor about the source parameters (such as the width of an individual bursting bubble).

Earth, Planets and Space

This method gives the computational efficiency advantages of only needing two particle phase velocity fields whilst ensuring that a correct combination of weights and abscissas is returned for any arbitrary combination of particle trajectories without the need for any further assumptions.

Journal of Computational Physics

We first note that the Mura equation, if applied to a FR source configuration with sufficiently high spatial resolution to a FR source, captures the source operation naturally without any further assumptions, as shown by the group of Acharya (Varadhan et al. 2006).

Materials Theory

Human-verified similar examples from authoritative sources

Similar Expressions

50 human-written examples

The stabilization term is proportional to the amount of backflow, and does not require any further assumption on the velocity profile.

Journal of Computational Physics

The most efficient one is the so called Force Density Method (FDM), proposed by Schek, which allows to conforming cable nets for structural applications without requiring any further assumption, neither on the geometry, nor on the material properties.

International Journal of Solids and Structures

More precisely, Theorem 2.1 holds without any further assumption, while for Theorem 2.2 we need to require a gap between the periods of the orbits Γ ℓ 1 and Γ ℓ ∗.

Boundary Value Problems

The null hypothesis of the KS test is that both distributions are identical, without any further assumption regarding their location and shape, which makes the KS test widely applicable.

GigaScience

Moreover, for d = 2, it has recently been proved in  [64] that  (2.9) even holds without any further assumption on the initial mesh T 0. If one admits hanging nodes, also the red-refinement strategy from  [65] can be used, where the order of hanging nodes is bounded.

Computers and Mathematics with Applications

Expert writing Tips

Best practice

When using the phrase "any further assumptions", clearly articulate what these assumptions are to avoid ambiguity. Provide context or specific examples to ensure the assumptions are well-understood.

Common error

Avoid leaving "any further assumptions" unstated. If you allude to additional assumptions, specify them explicitly to maintain transparency and credibility in your analysis or argument.

Linguistic Context

The phrase "any further assumptions" primarily functions as a transitional element to introduce additional unstated conditions or suppositions. Ludwig examples show it's used to clarify the scope of an argument or analysis.

Expression frequency: Uncommon

Frequent in

Science

70%

News & Media

10%

Formal & Business

10%

Less common in

Encyclopedias

0%

Wiki

0%

Reference

0%

Ludwig's WRAP-UP

In summary, "any further assumptions" is a grammatically correct phrase used to introduce additional conditions or suppositions in a given context. As confirmed by Ludwig, the phrase is most frequently found in scientific and academic writing, emphasizing the need for clarity and precision. When using the phrase, it's best practice to explicitly state what these assumptions are to avoid ambiguity. Related phrases include "any additional presumptions" and "any extra conditions", offering alternative ways to express the same concept. Recognizing and stating these assumptions ensures transparency and enhances the credibility of your analysis or argument.

More alternative expressions

Phrases that express similar concepts, ordered by semantic similarity:

any additional presumptions

Replaces "further assumptions" with a synonym, "additional presumptions", altering the tone slightly but maintaining the core meaning.

any extra conditions

Uses the more common term "conditions" instead of "assumptions", making the phrase simpler and more direct.

any further preconditions

Replaces "assumptions" with "preconditions", emphasizing that these are requirements that must be met before something else can happen.

any other stipulations

Substitutes "assumptions" with "stipulations", implying more formalized or contractual conditions.

any additional requirements

Replaces "assumptions" with "requirements", suggesting necessary conditions or demands.

any supplementary premises

Employs the more formal term "premises", indicating a logical or argumentative context.

any further provisos

Substitutes "assumptions" with "provisos", implying qualifications or exceptions.

any other qualifications

Replaces "assumptions" with "qualifications", emphasizing the need for specific attributes or conditions to be met.

any more hypotheses

Replaces "assumptions" with "hypotheses", suggesting a more exploratory or unproven condition.

are there any more underlying beliefs

Reformulates the phrase into a question focusing on the fundamental "beliefs" that support an argument or decision.

FAQs

How can I use "any further assumptions" in a sentence?

You can use "any further assumptions" to introduce additional conditions or suppositions necessary for an argument or model. For example, "Before we proceed, are there "any further assumptions" we need to consider?"

What is a good alternative to "any further assumptions"?

Alternatives include "any additional presumptions", "any other stipulations", or "any extra conditions", depending on the specific context.

When is it appropriate to use the phrase "any further assumptions"?

It's appropriate to use "any further assumptions" when you need to identify or clarify additional conditions, beliefs, or suppositions that are required to proceed with an analysis, argument, or plan.

What's the difference between "any further assumptions" and "underlying assumptions"?

"Underlying assumptions" refer to the foundational, often unstated, beliefs that support an argument or model. "Any further assumptions" refers to additional conditions or suppositions that may be needed to proceed beyond the existing framework.