extended solutions

USAGE SUMMARY

The phrase "extended solutions" is correct and usable in written English.
It can be used in contexts where you are referring to comprehensive or detailed answers to problems or questions, often in academic or technical settings. Example: "The textbook provides extended solutions to the exercises at the end of each chapter, allowing students to understand the concepts more thoroughly."

✓ Grammatically correct

Science

Human-verified examples from authoritative sources

Exact Expressions

4 human-written examples

As in the case of massless equations, the extended solutions are periodic under the generatorζof the infinite cyclic center of the conformal groupGinM.

Journal of Functional Analysis

In Section 2, we describe and further develop Zhang and Peng's modification of the Fan sub-equation method by making good use of the extended solutions of the general elliptic equation.

Advances in Difference Equations

When the plates are close enough so that B < B cr, a new region R V IVIV appears (Figure 3) in which the (extended) solutions have negative maxima, and the net force will again be attracting.

Boundary Value Problems

We will refer to such extended solutions as B or C depending upon whether the curved segment passes through one or two quadrants, cf. Figure 3. Extended solutions B are symmetric around y = x line, and exist only for −1<λ<0, while extended solutions C are symmetric around x = 0 line, and exist for −1<λ<1.

Plosone

Human-verified similar examples from authoritative sources

Similar Expressions

56 human-written examples

Let u be any maximally extended solution of that problem defined on some interval ] b 0, b ].

Boundary Value Problems

For this reason, we developed several extended solution representations and modified decoding mechanisms that can all be seen as generalizations of the established SSGS approach for the RCPSP.

Business Research

For any q = ( q 0, …, q n − 1 ) ∈ R n let y q ( x ) be the maximally extended solution to the equation y ( n ) ( x ) + | y ( x ) | k = 0 (3).

Boundary Value Problems

The Service-Oriented-Architecture (SOA) development paradigm has emerged to make an improvement in critical situations such as creating, modifying and extending solutions in the domain of business processes integration.

Computers in Industry

McGregor further extends solution generated by VF+ Lib where possible to find MCS.

Journal of Cheminformatics

It follows that magnetic geodesics cannot be extended, as solutions of the magnetic geodesic equation, into singular points.

Pacific Journal of Mathematics for Industry

Broman (2005) extended the solutions to the two- and three-locus haplotype probabilities for the two, four, or eight-way RIL by sibling mating.

G3: Genes, Genomes, Genetics

Expert writing Tips

Best practice

When using "extended solutions", ensure the context clearly indicates what is being extended and why the extension is necessary for a full understanding or implementation.

Common error

Avoid using "extended solutions" when simpler, more direct terms like "complete solutions" or "thorough solutions" suffice. Overusing "extended" can make your writing sound unnecessarily complex.

Linguistic Context

The phrase "extended solutions" functions primarily as a noun phrase, where "extended" modifies the noun "solutions". Ludwig AI confirms its usage in contexts requiring detailed or comprehensive answers.

Expression frequency: Rare

Frequent in

Science

75%

News & Media

12%

Wiki

6%

Less common in

Encyclopedias

3%

Formal & Business

2%

Reference

2%

Ludwig's WRAP-UP

In summary, "extended solutions" is a phrase used to describe solutions that are comprehensive, detailed, or go beyond the standard approach. Ludwig AI indicates that the phrase is grammatically sound and usable, although relatively rare in frequency. The phrase is most commonly found in scientific and technical contexts, denoting thoroughness and complexity. When considering alternatives, "comprehensive solutions" or "detailed solutions" can often serve as suitable substitutes, depending on the specific nuance. Remember to avoid overgeneralization and ensure that the context justifies the use of "extended solutions" for clarity and precision.

More alternative expressions

Phrases that express similar concepts, ordered by semantic similarity:

expanded solutions

Focuses on the idea of solutions being made larger or more comprehensive.

comprehensive solutions

Emphasizes the thoroughness and completeness of the solutions.

elaborated solutions

Highlights the detailed and intricate nature of the solutions.

detailed solutions

Underscores the level of detail provided in the solutions.

in-depth solutions

Suggests a thorough and profound exploration of the solutions.

enhanced solutions

Focuses on the improvement and augmentation of existing solutions.

supplemented solutions

Highlights the addition of extra elements to make the solutions more effective.

augmented solutions

Emphasizes the increase in size or value of the solutions.

broadened solutions

Highlights the widening of the scope or application of the solutions.

advanced solutions

Focuses on the cutting-edge or sophisticated nature of the solutions.

FAQs

How can I use "extended solutions" in a sentence?

You can use "extended solutions" to refer to solutions that are more comprehensive or detailed than standard ones. For example, "The manual provides "extended solutions" to complex problems in the field."

What are some alternatives to "extended solutions"?

Alternatives include "comprehensive solutions", "detailed solutions", or "elaborated solutions", depending on the specific nuance you wish to convey.

When is it appropriate to use "extended solutions" instead of "simple solutions"?

"Extended solutions" are appropriate when the problem requires a more in-depth or multifaceted approach, whereas "simple solutions" are suitable for straightforward issues.

What distinguishes "extended solutions" from "standard solutions"?

"Extended solutions" go beyond the conventional or typical methods, offering additional features, modifications, or refinements that aren't found in "standard solutions".