TextRanch

The best way to perfect your writing.

Discover why 1,062,726 users count on TextRanch to get their English corrected!

1. Input your text below.
2. Get it corrected in a few minutes by our editors.
3. Improve your English!

One of our experts will correct your English.

by the formula vs according to the formula

Both phrases are correct and commonly used in English. They can be used interchangeably to introduce a formula or method. The choice between 'by the formula' and 'according to the formula' is a matter of personal preference or style.

Last updated: March 19, 2024 • 2786 views

by the formula

This phrase is correct and commonly used in English to introduce a formula or method.

This phrase is used to indicate that the following information or calculation is based on a specific formula or method.

Examples:

Calculate the area of the triangle by the formula A = 1/2 * base * height.
Solve the equation by the formula provided in the textbook.
Find the solution by the formula given in the manual.

Show examples from the web [+]

Distance Formula: Given the two points (x1, y1) and (x2, y2), the distance between these points is given by the formula: Don't let the subscripts scare you.
In a certain sequence, the term xn is given by the formula xn=2∗xn−1−12∗xn−2 for all n≥2. If x0=3 and x1=2, what is the value of x3? (A) 2.5
\begin{displaymath}f(x) = h \circ g(x. The derivative of the composition is given by the formula. \begin{displaymath}\Big(f \circ g(x)\. Another way to write this ...
Find the common ratio for the sequence given by the formula, 2. The formula indicates that 3 is the common ratio by its position in the formula. A listing of the ...

Alternatives:

using the formula
with the formula
applying the formula
following the formula
based on the formula

according to the formula

This phrase is correct and commonly used in English to introduce a formula or method.

This phrase is used to indicate that the following information or calculation is based on a specific formula or method.

Examples:

Calculate the area of the triangle according to the formula A = 1/2 * base * height.
Solve the equation according to the formula provided in the textbook.
Find the solution according to the formula given in the manual.

Alternatives:

by the formula
using the formula
with the formula
applying the formula
following the formula

Related Comparisons

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

Why choose TextRanch?

Lowest prices
Up to 50% lower than other online editing sites.

Fastest Times
Our team of editors is working for you 24/7.

Qualified Editors
Native English experts for UK or US English.

Top Customer Service
We are here to help. Satisfaction guaranteed!