🎁 A holiday package to celebrate the season! Click here and shop now!

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.

Our experts

for each X_i vs for each x_i where

Both phrases are correct, but they are used in slightly different contexts. "For each x_i" is commonly used to introduce a general statement about each element x_i in a set, while "for each x_i where" is used when specifying a condition or constraint that x_i must satisfy.

Last updated: March 17, 2024 • 702 views

for each X_i

This phrase is correct and commonly used in English to introduce a general statement about each element x_i in a set.

This phrase is used to indicate that a statement applies to each individual element x_i in a set without specifying any conditions or constraints.

Examples:

  • For each x_i in the list, calculate the corresponding value.
  • For each x_i, there exists a unique y_i such that f(x_i) = y_i.
  • First, for each x_i, will have one node called "x_i" and one node called "not(x_i)". Let's call the three colors "red", "T" and "F", and add three special nodes in a ...
  • First, for each x_i, will have one node called "x_i" and one node called "not(x_i)". Let's call the three colors "red", "T" and "F", and add three special nodes in a ...
  • This means that it uses the following approximation for each x_i: df f(x_i+h) − f(x_i ) ---- = -------------------- dx_i h. for an appropriate small change in x_i, h, holding ...
  • Then by linearity of expectation, E(S_n) = np. What above Var(S_n)? For each X_i, we have Var(X_i) = E(X_i^2) - E(X_i)^2 = p - p^2 = p(1-p), Then we notice that ...

Alternatives:

  • for every x_i
  • for all x_i
  • for any x_i
  • for each element x_i

for each x_i where

This phrase is correct and is used when specifying a condition or constraint that x_i must satisfy.

This phrase is used to introduce a statement that applies to each element x_i in a set, subject to a specific condition or constraint.

Examples:

  • For each x_i where x_i > 0, calculate the corresponding value.
  • For each x_i where x_i is a prime number, there exists a unique y_i such that f(x_i) = y_i.

Alternatives:

  • for every x_i where
  • for all x_i where
  • for any x_i where
  • for each element x_i where

Related Comparisons

for each user vs for each users for each item vs for each items each nodes vs for each nodes on every mondays vs for every mondays for each week. vs to eack week

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 (4.9TextRanch on TrustPilot).

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!

×

💝 TextRanch Holidays Offer! 💝️

25% special discount
Stock up on credits for the entire year!

Grab this offer now!