under the coordinates

USAGE SUMMARY

The phrase "under the coordinates" is correct and usable in written English.
It can be used when referring to a specific location or position defined by a set of coordinates, often in contexts like geography, mapping, or data analysis. Example: "The treasure is buried under the coordinates 34.0522° N, 118.2437° W."

✓ Grammatically correct

Science

Human-verified examples from authoritative sources

Exact Expressions

1 human-written examples

A 3D plot for the 6 chips (samples) under the coordinates of the first three principal components is given in Figure  1A.

BMC Genomics

Human-verified similar examples from authoritative sources

Similar Expressions

59 human-written examples

These have been assembled and intermeshed under the coordinating eye of Helen C. Evans, curator of Byzantine art.

The New York Times - Arts

Under the coordinate transformation, Eqs.

Boundary Value Problems

We find that the private information of risk aversion degree doesn't affect the supply chain performance under the coordinating contract.

Computers & Industrial Engineering

This establishes the covariance of the field law (AP1) under the coordinate transformation (AP2); the transformed field law (AP3) has the same form as the original field law (AP1).

SEP

The solutions to the reduced CS model under the coordinate transformation may be seen in Fig. 6, whilst, in Fig. 7, we show how this solution looks in the original coordinates.

The Journal of Mathematical Neuroscience

Nonlinear projection transformation: Assuming that the projection coordinates under the mirror coordinate system are known, the projection point coordinates on the metric plane can be calculated.

EURASIP Journal on Image and Video Processing

The rotation matrix R w is a quaternion notation, wherein W represents the projection process, and V 1 = [q o, q 1, q 2, q 3, t 1, t 2, t 3] represents the unknown variables in the projection matrix P. Nonlinear projection transformation: Assuming that the projection coordinates under the mirror coordinate system are known, the projection point coordinates on the metric plane can be calculated.

EURASIP Journal on Image and Video Processing

Each individual sample in the training set can be treated as a spatial point, each with a class label (eg. cancer or normal), while the expression values of the genes under study decide the coordinates of each point.

BMC Genomics

An FDK-space is a double sequence space endowed with a complete metrizable space, locally convex topology under which the coordinate mappings x = ( x k ) → ( x mn ) ( m, n ∈ N ) Open image in new window are also continuous.

Mathematical Sciences

Let ({mathbb {P}}_{t,mathbf {x}}) denote the corresponding Borel probability measures on (C([!t,T],{mathbb {R}}^{d})) under which the coordinate process, (X u)) t≤u≤T, is a diffusion process with generator Open image in new window and satisfies X t)=x ({mathbb {P}}_{t,mathbf {x}} -a.s.

Probability, Uncertainty and Quantitative Risk

Expert writing Tips

Best practice

When describing spatial data or locations, ensure that the coordinate system you're referencing is clearly defined to avoid ambiguity.

Common error

Avoid using "under the coordinates" without specifying the coordinate system (e.g., Cartesian, polar). This can lead to confusion if the reader is unsure of the reference frame.

Linguistic Context

The phrase "under the coordinates" primarily functions as a prepositional phrase, specifying a location or position relative to a defined coordinate system. It acts as an adverbial modifier, providing context to a verb or noun, as supported by Ludwig's analysis.

Expression frequency: Rare

Frequent in

Science

100%

News & Media

0%

Formal & Business

0%

Less common in

Academia

0%

Encyclopedias

0%

Wiki

0%

Ludwig's WRAP-UP

The phrase "under the coordinates" functions as a prepositional phrase, primarily used to specify a precise location or position within a defined coordinate system. Ludwig AI confirms its grammatical correctness, though its frequency is rare, mainly appearing in scientific contexts. When using this phrase, ensure clarity by specifying the coordinate system. Alternatives include "at the specified coordinates" or "located at the coordinates", depending on the context. While grammatically sound, its specialized nature warrants careful consideration of the audience and purpose.

More alternative expressions

Phrases that express similar concepts, ordered by semantic similarity:

at the specified coordinates

Replaces "under" with "at", changing the preposition but keeping the spatial reference.

located at the coordinates

Uses a more explicit verb "located" to describe the position.

defined by the coordinates

Focuses on the coordinates as the defining factor of a position.

with reference to the coordinates

Introduces a more formal tone, emphasizing the coordinates as a point of reference.

in relation to the coordinates

Similar to "with reference to", highlighting the relationship between a point and the coordinates.

corresponding to the coordinates

Indicates a direct correspondence between a location and the coordinates.

positioned according to the coordinates

Highlights that the position is determined by the coordinates.

in the coordinate system

Refers to the entire coordinate system rather than a specific point.

within the bounds of the coordinates

Indicates a region or area defined by the coordinates.

using the coordinates as a reference

Emphasizes the use of coordinates as a tool for defining location.

FAQs

How can I use "under the coordinates" in a sentence?

Use "under the coordinates" to specify a location or point defined by a coordinate system, such as in mapping or data analysis. For example, "The simulation was run "at the specified coordinates"".

What phrases are similar to "under the coordinates"?

Alternatives include "at the specified coordinates", "located at the coordinates", or "defined by the coordinates", all depending on the context.

When is it appropriate to use "under the coordinates"?

It's appropriate when you need to precisely specify a location based on a defined coordinate system. This is common in fields like geography, data science, and engineering.

Is "under the coordinates" formal or informal language?

It tends to be more formal, especially in technical or scientific writing. In casual conversation, you might opt for simpler terms like "at" or "near".