linear combinations of vs linear combination of

Both phrases are correct, but they are used in different contexts. 'Linear combinations of' is used when referring to multiple linear combinations, while 'linear combination of' is used when referring to a single linear combination.

Last updated: March 25, 2024 • 685 views

linear combinations of

This phrase is correct and commonly used when referring to multiple linear combinations.

This phrase is used when discussing the combination of multiple linear expressions or vectors.

Examples:

The solution can be expressed as linear combinations of the given vectors.
We can represent the data as linear combinations of the basis vectors.

Show examples from the web [+]

The statistical analysis reduces the information to two components, each of which is a linear combination of the same six online variables.
The term "Acrylates" is used to describe linear, non-cross linked copolymers that contain combinations of acrylic acid, methacrylic acid and their methyl, ethyl, propyl or butyl esters.
"Focal plane array" (6) means a linear or two-dimensional planar layer, or combination of planar layers, of individual detector elements, with or without readout electronics, which work in the focal plane.
"Focal plane array" (6) means a linear or two-dimensional planar layer, or combination of planar layers, of individual detector elements, with or without readout electronics, which work in the focal plane.
A combination of measures should be considered.
The combination of acids and sugar sounds like ingredients.
It was a combination of medication and intensive sessions.
That was one potent combination of verbal diarrhea and stunned silence.
It is a combination of competitiveness and cohesion.
The third option is a combination of those two forms.
This combination of interests had practical consequences.
The combination of these last two instruments can prove redoubtable.
Tortoiseshell is a combination of colors.
Combination of henna and iron oxide or something.
A combination of poor penmanship and homemade inks.
We have a combination of factors.
Competent authorities may apply a combination of methods 1, 2 and 3, or a combination of two of these methods.
Part 5 - Combinations of credit risk mitigation in the Standardised Approach
However, a combination of several results per version indicating the worst case is permissible.
To actively support innovation, a combination of instruments is usually needed.

Alternatives:

combinations of linear
linear mixtures of
linear sums of
linear compositions of
linear amalgamations of

linear combination of

This phrase is correct and commonly used when referring to a single linear combination.

This phrase is used when discussing a single linear expression or vector that is a combination of other elements.

Examples:

The vector is a linear combination of the basis vectors.
Each data point can be seen as a linear combination of the features.

Show examples from the web [+]

The statistical analysis reduces the information to two components, each of which is a linear combination of the same six online variables.
The term "Acrylates" is used to describe linear, non-cross linked copolymers that contain combinations of acrylic acid, methacrylic acid and their methyl, ethyl, propyl or butyl esters.
"Focal plane array" (6) means a linear or two-dimensional planar layer, or combination of planar layers, of individual detector elements, with or without readout electronics, which work in the focal plane.
"Focal plane array" (6) means a linear or two-dimensional planar layer, or combination of planar layers, of individual detector elements, with or without readout electronics, which work in the focal plane.
A combination of measures should be considered.
The combination of acids and sugar sounds like ingredients.
It was a combination of medication and intensive sessions.
That was one potent combination of verbal diarrhea and stunned silence.
It is a combination of competitiveness and cohesion.
The third option is a combination of those two forms.
This combination of interests had practical consequences.
The combination of these last two instruments can prove redoubtable.
Tortoiseshell is a combination of colors.
Combination of henna and iron oxide or something.
A combination of poor penmanship and homemade inks.
We have a combination of factors.
Competent authorities may apply a combination of methods 1, 2 and 3, or a combination of two of these methods.
Part 5 - Combinations of credit risk mitigation in the Standardised Approach
However, a combination of several results per version indicating the worst case is permissible.
To actively support innovation, a combination of instruments is usually needed.

Alternatives:

combination of linear
mixture of linear
sum of linear
composition of linear
amalgamation of linear

What Our Customers Are Saying

Our customers love us! We have an average rating of 4.79 stars based on 283,125 votes.
Also check out our 2,100+ reviews on TrustPilot (4.9).

"Thank you!"
Sachi Nakama July 2024
"I have literally been through chat, PI, claude, bard and bing and I got conflicting answers! Thank you! Human intelligence reigns!"
Retha July 2024
"Faster than AI"
CYNTHIA December 2023
"This was very helpful and I personally think this site is the best."
Kaden October 2023
"It was extremely thorough and very helpful!"
imperialelisa October 2023
"7 years without any disappointment. Always 100% satisfied. You guys are the best in the world at what you do. Thank you so much :)"
Zubair Alam October 2023
"In a world of text messages and online communication, this is great to have as a live tool. Thank you."
Selena October 2023
"Without textranch I would be stuck!"
宏祐 October 2023
"Accuracy and fast response. Personal comments from editor. Thank you."
Clh September 2023
"I wasn't aware of this service, it's fascinating and more reliable than standard IA tools available on the internet"
Arturo September 2023
"The fact that you can get reliable fast feedback on your texts."
Vinicius Antonio August 2023
"you guys are better than grammarly i'm being honest here"
ordinary July 2023
"OMG! This is really good than any other text correction tools I've used so far. Highly recommend this."
Vehan July 2023
"Very fast and accurate. thank you."
mojtaba July 2023
"I love this app because it's help to writing skills all of students ♥️"
Tarisini July 2023
"This was exactly the mistake I was looking for, the wording dind´t sound right at first. Better than grammarly!"
Ente July 2023
"The immediate help that I received was reassuring and very satisfactory. Thanks."
priiiyanshuu July 2023
"this helps A LOT for my studies."
kathnunez02 June 2023
"Woow!! I would never have expected such precision! Thank you soooo much!!"
Berta June 2023
"Real Time Editor and not AI. Many Thanks."
Priya June 2023
"The very first thing excites me about Textranch is how much your editors care."
sepideh June 2023
"The fact that texts are checked by human editors rather than by AI, etc. I appreciate this!"
Анна June 2023
"Feel welcome, immediate response, high quality feedback"
martin.roy June 2023
"This is the best app that I have ever seen"
Burulai May 2023

linear combinations of vs linear combination of