it exists such that

USAGE SUMMARY

The phrase "it exists such that" is not standard in written English and may cause confusion.
It could be used in mathematical or philosophical contexts to indicate the existence of something under certain conditions. Example: "In set theory, it exists such that there is a subset containing all even numbers."

⚠ May contain grammatical issues

Science

Human-verified examples from authoritative sources

Exact Expressions

4 human-written examples

Such assumption allows one to consider both the conventional circularly symmetric constellations, such as -PSK and square -QAM with, and the rotationally variant constellations, such as the well-known PAM and its rotated version (for which it exists such that is real-valued and, consequently, ), non-square QAM (with since a different power is allocated to the in-phase and quadrature components).

EURASIP Journal on Advances in Signal Processing

For a function f : T → R, the (delta) derivative f Δ ( t ) at t ∈ T is defined to be the number (if it exists) such that for all ϵ > 0 there is a neighborhood U of t with | f ( σ ( t ) ) − f ( s ) − f Δ ( σ ( t ) − s ) | ≤ ϵ | σ ( t ) − s | (2.1).

Advances in Difference Equations

Given two fuzzy numbers (u,vin{{mathbb{R}}}_{{mathcal{F}}}), the generalized Hukuhara difference (gH-difference for short) is the fuzzy number w, if it exists, such that uominus_{gH}v=wquadLongleftrightarrowquad begin{cases} (mathrm{i})& u=voplus w, mbox{ or} (mathrm{ii})& v=uominus w. end{cases}.

Advances in Difference Equations

For a function (f : mathbb{T}rightarrow mathbb{R}), the (delta) derivative (f^{Delta}(t)) at (tinmathbb{T}) is defined as the number (if it exists) such that for given any (varepsilon> 0), there is a neighborhood U of t with biglvert fbigl sigma(t bigr -f(s)-f^{Delt bigr -fgl(s -f^{t)-s -f^{)bigrvert leqvarepsilon biglvert sigma(t)-sbigrvert for all (sin U).

Journal of Inequalities and Applications

Human-verified similar examples from authoritative sources

Similar Expressions

56 human-written examples

It implies that there exists such that (3.5).

Journal of Inequalities and Applications

If it is false, then there exists such that is not -convex, that is, there exist such that.

Fixed Point Theory and Applications

If it is false, then there exists such that is not -convex, that is, there exist such that  .

Fixed Point Theory and Applications

It follows that there exists such that for all.

Fixed Point Theory and Applications

Hence and it follows that there exists such that and.

Journal of Inequalities and Applications

Taking into account the fact that it follows that there exists such that.

Journal of Inequalities and Applications

Similarly to Step 1, it follows that there exists such that,.

Fixed Point Theory and Applications

Expert writing Tips

Best practice

Prefer the phrase "there exists such that" for better clarity and grammatical correctness. It is more widely recognized and accepted in both formal and informal writing.

Common error

Avoid using "it exists such that" in general writing. This phrase is not a standard English construction and can make your writing sound unnatural or confusing.

Linguistic Context

The phrase "it exists such that" functions as an existential quantifier, asserting the existence of something that satisfies a given condition. Ludwig AI notes this expression isn't standard.

Expression frequency: Rare

Frequent in

Science

100%

Less common in

News & Media

0%

Formal & Business

0%

Ludwig's WRAP-UP

In summary, the phrase "it exists such that" is a less common and somewhat awkward way to express the existence of something satisfying a specific condition. Ludwig AI suggests that while understandable, it's not considered standard English. The more appropriate and widely accepted alternative is "there exists such that". Usage is mostly confined to formal, scientific contexts. For general writing, it's best to avoid "it exists such that" in favor of clearer phrasing.

More alternative expressions

Phrases that express similar concepts, ordered by semantic similarity:

there exists such that

This is the more common and grammatically correct way to express the existence of something that satisfies a certain condition.

there is something that

This alternative uses simpler language to indicate the existence of something with a specific property.

a condition is met where

This phrase focuses on the condition being fulfilled, implying existence.

it is the case that

A formal way to introduce a situation or condition that holds true.

one can find such that

This suggests the possibility of discovering or identifying something that meets certain criteria.

there can be found a

This emphasizes the possibility of locating something satisfying the stated condition.

we can ensure that

It indicates that a condition of something occurs.

we have that

A concise expression of a condition or equality that is true.

it may be shown that

This indicates there is a proof about it

it is possible to have

Highlights the possibility that there's at least one occurence of the thing that we want

FAQs

What's a better way to say "it exists such that"?

A more standard and grammatically sound alternative is "there exists such that". This phrasing is widely recognized and accepted.

Is "it exists such that" grammatically correct?

While understandable, "it exists such that" is not considered a standard English construction. It's better to use "there exists such that" for improved clarity and adherence to grammatical norms.

In what contexts might I see "it exists such that"?

You might encounter "it exists such that" in technical or mathematical writing, but it is not common. Even in those contexts, "there exists such that" is typically preferred.

How can I rephrase a sentence using "it exists such that" to sound more natural?

Instead of "it exists such that", try "there is something that" or "there exists such that". For example, instead of "It exists such that a solution can be found", use "There exists a solution such that...".