expressed as following vs expressed as follows

The correct phrase is 'expressed as follows.' 'Expressed as following' is not a common or correct construction in English. 'Expressed as follows' is the standard way to introduce a list or explanation.

Last updated: March 19, 2024 • 5077 views

expressed as following

This phrase is not correct in English.

This phrase is not commonly used in English. The correct form is 'expressed as follows.'

Show examples from the web [+]

The general equation can be expressed as following: Ending Retained Earnings = Beginning Retained Earnings − Dividends Paid + Net Income. This equation ...
The general equation can be expressed as following: ending retained earnings = beginning retained earnings − dividends paid + net income. Give us feedback ...
In terms of the two components associated with every number in Z[√3], the arithmetic operations are expressed as following. Addition: (a1 + b1√3) + (a2 + ...
2 days ago ... Adams and Essex (Calculus) have that the (simplified) gravitational vector field can be expressed as following: A⃗ (x,y,z)=A⃗ (r)=−GM∣r⃗ −r⃗ ...

Alternatives:

expressed as follows
stated as follows
described as follows
outlined as follows
presented as follows

expressed as follows

This phrase is the correct and commonly used form in English.

'Expressed as follows' is the standard way to introduce a list or explanation.

Show examples from the web [+]

The paradox can be expressed as follows: "Yields falsehood when preceded by its quotation" yields falsehood when preceded by its quotation. If the paradox is ...
In the simplest case, the total cost function and its derivative are expressed as follows, where Q represents the production quantity, VC represents variable costs , ...
The long-run production function (Q) is usually expressed as follows: Q = f (LB, L, ... A two variable production function can be expressed as follows: Q = f (L, K).
Cobb-Douglas production function can be expressed as follows: Q = AKaLb. Where, A = positive constant. a and b = positive fractions. b = 1 – a. Therefore ...

Alternatives:

stated as follows
described as follows
outlined as follows
presented as follows
explained as follows

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

expressed as following vs expressed as follows