Used and loved by millions
Since I tried Ludwig back in 2017, I have been constantly using it in both editing and translation. Ever since, I suggest it to my translators at ProSciEditing.

Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com
ith entry
Grammar usage guide and real-world examplesUSAGE SUMMARY
The phrase "ith entry" is not correct in English and appears to be a typographical error.
It seems you may have meant "fifth entry" or another ordinal number followed by "entry." Example: "In the fifth entry of the journal, I reflected on my experiences during the trip."
⚠ May contain grammatical issues
Science
Encyclopedias
Alternative expressions(5)
Table of contents
Usage summary
Human-verified examples
Expert writing tips
Linguistic context
Ludwig's wrap-up
Alternative expressions
FAQs
Human-verified examples from authoritative sources
Exact Expressions
22 human-written examples
A generic outcome to this experiment is an n-tuple, where the ith entry specifies the colour of the ball obtained on the ith draw (i = 1, 2,…, n).
Encyclopedias
where Y:=diag y) is an m×m diagonal matrix whose ith diagonal element is the ith entry of y.
The complex number a i,j indicates the (i,j th entry of the matrix A; a i indicates the ith entry of the vector a.
Let (mathbf {e}_{i}in {mathbb {Z}^{n}}) be an n-tuple with all zero entries except the ith entry being one.
Here, each (z i ) g is a group vector containing s (called group size) elements that surrounding the ith entry of z.
Let A be the n×n diagonal matrix with the ith entry given by ({r_{i}^{2}} 1-h_{textit {ii} 1-h_{textitit {ii}}}), where r i is the ith residual based on the ordinary least squares estimator.
Human-verified similar examples from authoritative sources
Similar Expressions
38 human-written examples
Here q ii denotes the ith diagonal entry of the matrix Q(3)(6).
For two vectors (mathbf{x},mathbf{y}in[alpha,beta]^{l}), let (x_{[i]},y_{[i]}) denote the ith largest entries of x and y, respectively.
where b j and b i are the ith and jth entry of the right hand eigenvector belonging to the eigenvalue λmax, respectively.
The bit-wise transition probabilities define the bit likelihood given bit (x_{m}^{(i)}) of the ith quantization table entry [19] Pleft(hat{x}_{m}(n) left| x_{m}^{(i }right.
Then, using the resulting bit error rate (textrm {BER}_{m}^{text {re}}left (k,hat {xi }_{q,ell } k)right)), the bit likelihood with the given bit (S_{m}^{text {re}, i)} in mathbf {S}^{text {re}, i)}) of the ith quantization table entry can be obtained similar to (27) as {small{ P !left(! Y_{m,ell}^{text{re}}(k) !left|!vphantom{frac{1}{2}}right.
Expert writing Tips
Best practice
Avoid using the phrase "ith entry" in formal writing. Instead, use a correct ordinal number (first, second, third, etc.) or rephrase to specify the position using 'position i' or a similar construct.
Common error
Don't assume that "ith" is a valid way to represent a variable ordinal number. Always use established ordinal forms or rephrase to ensure clarity and grammatical accuracy.
Source & Trust
79%
Authority and reliability
2.8/5
Expert rating
Real-world application tested
Linguistic Context
The phrase "ith entry" functions as a noun phrase where 'ith' attempts to specify the ordinal position of the entry. However, since 'ith' is not a valid ordinal number, the phrase is grammatically incorrect, as noted by Ludwig.
Frequent in
Science
65%
Encyclopedias
10%
Academia
5%
Less common in
News & Media
5%
Formal & Business
5%
Wiki
5%
Ludwig's WRAP-UP
In summary, while the phrase "ith entry" is frequently encountered, particularly in scientific literature, it's grammatically incorrect due to "ith" not being a valid ordinal number. Ludwig AI emphasizes this point. To maintain clarity and accuracy, it's advisable to use correct ordinal numbers (first, second, third, etc.) or rephrase to "the entry at position i". This ensures your writing is both technically sound and grammatically correct, aligning with best practices for formal communication. Despite its common usage, prioritizing grammatical correctness will enhance the credibility and clarity of your writing.
More alternative expressions(10)
Phrases that express similar concepts, ordered by semantic similarity:
first entry
Replaces 'ith' with the ordinal number 'first'.
second entry
Replaces 'ith' with the ordinal number 'second'.
third entry
Replaces 'ith' with the ordinal number 'third'.
fourth entry
Replaces 'ith' with the ordinal number 'fourth'.
fifth entry
Replaces 'ith' with the ordinal number 'fifth'.
sixth entry
Replaces 'ith' with the ordinal number 'sixth'.
seventh entry
Replaces 'ith' with the ordinal number 'seventh'.
eighth entry
Replaces 'ith' with the ordinal number 'eighth'.
ninth entry
Replaces 'ith' with the ordinal number 'ninth'.
the entry at position i
Rephrases the concept using 'position i' to indicate a variable entry number.
FAQs
How can I correctly refer to a variable entry number in a sequence?
Instead of using the incorrect "ith entry", specify the entry by its correct ordinal number like "first entry", "second entry", or use a more general formulation such as "the entry at position i".
Is "ith entry" grammatically correct?
No, "ith entry" is not grammatically correct. "Ith" is not a valid ordinal number in English. You should use proper ordinal numbers like first, second, third, fourth, etc.
What's a better way to say "ith entry" in a mathematical context?
In mathematical or programming contexts, it's clearer to say "the entry at position i" or "the i-th element" to refer to an element at a specific index.
Can I use "ith entry" in formal writing?
It is best to avoid "ith entry" in formal writing. Use a grammatically correct alternative, such as "first entry", "second entry", or "the entry at position i".
Editing plus AI, all in one place.
Stop switching between tools. Your AI writing partner for everything—polishing proposals, crafting emails, finding the right tone.
Table of contents
Usage summary
Human-verified examples
Expert writing tips
Linguistic context
Ludwig's wrap-up
Alternative expressions
FAQs
Source & Trust
79%
Authority and reliability
2.8/5
Expert rating
Real-world application tested