coordinates up to

USAGE SUMMARY

The phrase "coordinates up to" is correct and usable in written English.
It can be used when discussing the precision or accuracy of coordinates in a mathematical or geographical context, often implying a certain level of approximation or tolerance. Example: "The coordinates up to three decimal places are sufficient for our mapping purposes."

✓ Grammatically correct

Science

Human-verified examples from authoritative sources

Exact Expressions

7 human-written examples

Spherical harmonics expansion is then made in SM coordinates up to degree 2 for the ring current, in Geocentric Solar Magnetospheric (GSM) coordinates up to degree 2 and order 0 for magnetopause and magnetotail currents (Olsen et al. 2014).

Earth, Planets and Space

Regarding the external field, we represent the near magnetospheric sources, e.g. magnetospheric ring current, by a spherical harmonic expansion in solar magnetic (SM) coordinates (up to n=2, with a special treatment of the n=1 terms).

Earth, Planets and Space

Large-scale external (magnetospheric) sources are parameterized in a manner similar to the CHAOS-2 model, with an expansion of the remote magnetospheric sources (magnetotail and magnetopause) in Geocentric Solar Magnetospheric (GSM) coordinates (up to n = 2) and of near magnetospheric sources (magnetospheric ring current) in the Solar Magnetic (SM) coordinate system (also up to n = 2).

Earth, Planets and Space

In the tests reported in Section 3, the ionospheric field was modelled in quasi-dipole coordinates up to degree Kmax = 45 and order Lmax = 5 (hence N q = 475 coefficients), with diurnal variations from p min = 0 to pmax = 4 (i.e., down to a period of 6 hours) and seasonal variations from s min = −2 to s max = 2 (i.e., constant, annual and semi-annual variation).

Earth, Planets and Space

This involves expanding mapped BAC coordinates up to approximately 165kb, which is our observation of the median size of BACs where both end sequences have been mapped.

Plosone

Assume that at some stage of the transmission Bob has received Cα coordinates up to an intermediate point p i, that is he has received coordinates (p1, p2,···, p i ) (i< n).

Bioinformatics

Human-verified similar examples from authoritative sources

Similar Expressions

53 human-written examples

We could show, that MT1 has the ability to coordinate up to five Zn2+ or Cd2+ ions and even higher amounts of Hg2+.

Inorganica Chimica Acta

Regarding remote magnetospheric sources, e.g. magnetotail and magnetopause currents, we use a spherical harmonic expansion in geocentric solar magnetospheric (GSM) coordinates (also up to n=2, but restricted to order m=0): begin{aligned} V^{text{ext}} &,=, a sum_{n=1}^{2} sum_{m=0}^{n}! left({q_{n}^{m}} !cos m T_{d},+, {s_{n}^{m}} !sin m T_{d} right)! left(!frac{r}{a}! right)^{n}!

Earth, Planets and Space

The parameterization of external magnetic field contributions is also similar to that of our previous models, with an expansion of near magnetospheric sources in the Solar Magnetic (SM) coordinate system (up to (n=2), with special treatment of the (n=1) terms) and of remote magnetospheric sources in Geocentric Solar Magnetospheric (GSM) coordinates (also up to (n=2), but restricted to order (m=0)).

Earth, Planets and Space

Hourly mean time series of external SHE coefficients in a geomagnetic dipole coordinate system (up to degree 3 and order 1) have been derived by analysis of 4.5 years of observatory data (July 1998-December 2002), details of the derivation are given in Olsen et al. (2005).

Earth, Planets and Space

Hourly mean time series of external coefficients in a geomagnetic dipole coordinate system (up to degree n = 3 and order m = 1) have been obtained by analysis of 4.5 years of observatory data (July 1998 December 2002), details of the derivation are given in Olsen et al. (2006).

Earth, Planets and Space

Expert writing Tips

Best practice

When specifying the accuracy of measurements or calculations, clearly define the units and context to avoid ambiguity. For instance, specify if the phrase refers to decimal places, meters, or other relevant units.

Common error

Avoid using ""coordinates up to"" without specifying the unit of measurement or level of precision. Always provide context for clarity.

Linguistic Context

The phrase ""coordinates up to"" functions as a prepositional phrase modifying a noun. It specifies the extent or limit of a set of coordinate values. Ludwig examples show it's often used to define the maximum range or accuracy of coordinate data.

Expression frequency: Rare

Frequent in

Science

100%

Less common in

News & Media

0%

Formal & Business

0%

Encyclopedias

0%

Ludwig's WRAP-UP

In summary, the phrase ""coordinates up to"" is a prepositional phrase used to specify a maximum value or limit for a given set of coordinates. As supported by Ludwig, the phrase is most commonly found in scientific and technical contexts, where precision and accuracy are important. While grammatically correct, its usage is relatively rare; therefore, writers should ensure clarity by specifying relevant units and contexts. Ludwig AI confirms that this phrase is usable in written English.

More alternative expressions

Phrases that express similar concepts, ordered by semantic similarity:

coordinates accurate to

Focuses on the level of precision rather than a limit.

coordinates precise to

Similar to "accurate to", but emphasizes precision.

coordinates up to a maximum of

More explicitly states that a maximum value exists.

coordinates within a range of

Specifies an acceptable interval or deviation.

coordinates limited to

Highlights a maximum boundary or constraint.

coordinates no more than

Sets an upper limit for the coordinate values.

coordinates as high as

Emphasizes the upper end of the coordinate values.

coordinates extending to

Implies the reach or span of the coordinates.

coordinates reaching

Similar to extending, indicating the coordinates achieve a certain value.

coordinates converging towards

Suggests the coordinates are approaching a specific value or area.

FAQs

What does ""coordinates up to"" mean?

The phrase ""coordinates up to"" indicates a maximum value or limit for the coordinates being referenced. It suggests that the coordinates can range from a certain minimum value to the specified upper limit.

How can I use ""coordinates up to"" in a sentence?

You can use ""coordinates up to"" when describing the range or extent of coordinates, such as: "The search area includes all coordinates "within a range of" 10 meters from the epicenter, encompassing coordinates "as high as" these values".

What are some alternatives to ""coordinates up to""?

Alternatives include phrases like "coordinates accurate to", "coordinates precise to", or "coordinates limited to", depending on the desired nuance.

In what contexts is ""coordinates up to"" commonly used?

""Coordinates up to"" is commonly used in scientific research, mapping, and engineering, where specifying the precision or limits of coordinate data is essential. Example usages from Ludwig include source domains such as Earth, Planets and Space, and Bioinformatics.