according to our notations

USAGE SUMMARY

The phrase "according to our notations" is correct and usable in written English.
It can be used when referencing specific symbols, terms, or conventions that have been established in a particular context or document. Example: "According to our notations, the variable 'x' represents the time in seconds."

✓ Grammatically correct

Science

News & Media

Human-verified examples from authoritative sources

Exact Expressions

1 human-written examples

According to our notations, we have (2.11).

Journal of Inequalities and Applications

Human-verified similar examples from authoritative sources

Similar Expressions

59 human-written examples

and, according to our notation, Z − = { p − ∈ M ˆ : p ∈ Z }.

Boundary Value Problems

According to our sensitivity.

The Guardian

Not according to our analysis.

Forbes

Not according to our research.

Forbes

According to our estimates: about $1.7 million.

Forbes

according to our problem.

EURASIP Journal on Wireless Communications and Networking

according to our previous recommendations [24].

Plosone

According to the notations from [1] Φ is a class of mappings (varphi : [0,infty)rightarrow[0,infty)) such that (varphi (alpha) < alpha), (alpha> 0); and (varphi inboldsymbol{Phi}_{mathbf{0}}) iff (varphi inPhi) and (varphi (0) = 0).

Fixed Point Theory and Applications

c For comparison purposes, we have used a value of n = 1 in the expression of [17], Eq. 13), where n represents the number of nodes cooperating in the sensing process according to [17] notations.

EURASIP Journal on Wireless Communications and Networking

Consequently, according to the notations given after Definition 2.1, in this case we have I = , ν = ν + - ν -, d = 0. and again m : = min x ∈ I a ( x ) > 0, M : = max x ∈ I a ( x ), According to the results of the previous section, the first three results provide sufficient conditions for the existence of solutions for our special f split in the product of b and c.

Boundary Value Problems

Expert writing Tips

Best practice

When using "according to our notations", ensure that the notations being referenced are clearly defined and accessible to the intended audience.

Common error

Avoid using "according to our notations" without providing sufficient context or explanation of what those notations entail, as this can confuse readers.

Linguistic Context

The phrase "according to our notations" functions as a prepositional phrase that introduces a statement or explanation based on a specific system of symbols, terms, or conventions. As Ludwig AI points out, it's used to clarify information relies on a particular framework. This signals to the reader that the subsequent information is contingent on understanding the defined notations.

Expression frequency: Uncommon

Frequent in

Science

60%

News & Media

20%

Formal & Business

10%

Less common in

Encyclopedias

5%

Wiki

3%

Reference

2%

Ludwig's WRAP-UP

In summary, "according to our notations" is a prepositional phrase used to introduce information grounded in a specific system of symbols or terms. As Ludwig AI confirms, its function is to provide context and clarity, ensuring the reader understands the basis of the explanation. While grammatically correct, its usage is relatively uncommon, primarily appearing in scientific and technical writing where precise communication is essential. When employing this phrase, ensure that the notations referenced are well-defined and accessible to the audience to avoid ambiguity. Common errors involve a lack of clarity regarding what the notations mean, which can lead to confusion. Related phrases include "based on our conventions" and "in accordance with our definitions", offering alternative ways to express the same concept with slight variations in emphasis.

More alternative expressions

Phrases that express similar concepts, ordered by semantic similarity:

based on our conventions

Emphasizes established practices rather than a specific notation system, making it slightly broader.

in accordance with our definitions

Highlights the use of defined terms, shifting the focus to the clarity of definitions.

as per our terminology

Focuses specifically on vocabulary and established terms.

following our established symbols

Underscores the use of symbols rather than a comprehensive system of notation.

according to our designated terms

Emphasizes the selection and use of particular terms within a framework.

pursuant to our nomenclature

Implies a more formal and structured system of naming conventions.

in line with our coding system

Highlights a system of codes used for representation.

given our present symbolism

Emphasizes the symbols presently utilized.

in agreement with our key

References the usage of the key used to decode or represent the content.

as indicated by our glossary

Refers back to an explanatory list of terms.

FAQs

How can I use "according to our notations" in a sentence?

You can use "according to our notations" to preface an explanation or definition that relies on a specific set of symbols or terms established within a particular document or field. For example, "According to our notations, 'alpha' represents the significance level."

What are some alternatives to "according to our notations"?

Alternatives include phrases such as "based on our conventions", "in accordance with our definitions", or "as per our terminology". These alternatives, like "based on our conventions", can slightly alter the nuance or emphasis of the statement.

When is it appropriate to use "according to our notations"?

It is appropriate to use "according to our notations" when you are referencing a specific, pre-defined system of symbols or terms that may not be universally understood or accepted. This clarifies that the information presented is based on a particular framework.

How does "according to our notations" differ from "according to our research"?

"According to our notations" refers specifically to a system of symbols or terms, while "according to our research" indicates that the information is based on findings from a study or investigation. The phrase "according to our research" implies an empirical basis for the information.