transversal sequence

USAGE SUMMARY

The phrase "transversal sequence" is correct and usable in written English.
It can be used in contexts related to mathematics, statistics, or data analysis, where it refers to a sequence that intersects or spans across different dimensions or categories. Example: "In our study, we analyzed the transversal sequence of data points to identify trends across multiple variables."

✓ Grammatically correct

Science

Human-verified examples from authoritative sources

Exact Expressions

11 human-written examples

This implies that ({f^{n}(x)}_{ninBbb{N}cup{0}}) is a transversal sequence in X.

Fixed Point Theory and Applications

In this sense, a lower edges transversal space is called lower complete iff every transversal sequence converges.

Fixed Point Theory and Applications

In this sense, an upper edges transversal space is called upper complete iff every transversal sequence converges.

Fixed Point Theory and Applications

We can show then that the sequence of iterates ({f^{n}(x)}_{nin Bbb{N}cup{0}}) is a transversal sequence.

Fixed Point Theory and Applications

Also, a space ((X, rho)) is said to be upper orbitally complete (or upper T-orbitally complete) iff every transversal sequence which is contained in for some (x in X) converges in X.

Fixed Point Theory and Applications

Also, a space ((X, rho)) is said to be lower orbitally complete (or lower T-orbitally complete) iff every transversal sequence which is contained in for some (x in X) converges in X.

Fixed Point Theory and Applications

Human-verified similar examples from authoritative sources

Similar Expressions

49 human-written examples

T-stage was deduced from two different T2-weigthed (T2W) sequences: transversal 3D SPACE with isotropic voxels of 1 mm and transversal 2D TSE with a native in-plane resolution of 0.6 × 0.6 mm and slice thickness of 3 4 mm.

European Radiology

This protocol comprised T2-weighted (T2-w) sequences in sagittal and transversal planes, a transversal HEMO sequence and a fluid saturation sequence (Fluid Attenuated Inversion Recovery, FLAIR).

Acta Veterinaria Scandinavica

The following specific sequencing and mapping methods are discussed in detail: clone-array pooled shotgun sequencing (CAPSS); transversal shotgun pooling designs; clone-array pooled shotgun mapping (CAPS-MAP); pooled genomic indexing (PGI); short-tag pooled genomic indexing (ST-PGI); and comparative sequence assembly (the CSA™ method).

TARGETS

One of the techniques that has consistently been transversal in specifically detecting sequences of target pathogens in humans, plants and animals, including fish, is real-time PCR because of its sensitivity, specificity, speed, throughput and reproducibility [ 3].

BMC Veterinary Research

Echo-planar imaging sequences with 34 transversal slices were performed on a 1.5-T MR scanner.

NeuroImage

Expert writing Tips

Best practice

When using "transversal sequence" in mathematical or statistical contexts, clearly define the space or set it traverses to avoid ambiguity.

Common error

Avoid using "transversal sequence" when a general "series" or "progression" would suffice. The term implies a specific geometric or abstract relationship involving intersection or crossing, not merely an ordered set of elements.

Linguistic Context

The phrase "transversal sequence" primarily functions as a noun phrase, often specifying a sequence that intersects or spans across different elements or sets within a given space. Ludwig AI confirms this usage is common in scientific contexts.

Expression frequency: Uncommon

Frequent in

Science

90%

News & Media

3%

Formal & Business

3%

Less common in

Academia

1%

Encyclopedias

1%

Wiki

1%

Ludwig's WRAP-UP

In summary, "transversal sequence" is a grammatically correct noun phrase, albeit uncommon, mainly utilized within formal and scientific domains. As Ludwig AI points out, it typically refers to a sequence that intersects or spans across elements, especially in mathematical or medical contexts. If simplicity is needed, consider using alternatives like "intersecting sequence" or "crossing sequence". Ensure clarity in usage, especially in technical writing, to avoid misinterpretations.

More alternative expressions

Phrases that express similar concepts, ordered by semantic similarity:

intersecting sequence

Replaces "transversal" with "intersecting", focusing on the act of crossing or meeting.

crossing sequence

Similar to "intersecting sequence", emphasizes the action of crossing paths.

spanning sequence

Focuses on the sequence covering or reaching across something.

transverse progression

Replaces "sequence" with "progression", suggesting a forward movement in a transverse direction.

cross-sectional series

Implies a series of data points taken across a particular section or category.

lateral sequence

Highlights movement or arrangement to the side.

orthogonal sequence

Suggests a sequence that is at right angles or statistically independent.

traversing series

Emphasizes the act of moving across or through a series of points or elements.

sequence of intersections

Focuses on the intersections formed by the sequence.

skew sequence

Suggests a sequence that is neither parallel nor perpendicular.

FAQs

How is "transversal sequence" used in mathematics?

In mathematics, a "transversal sequence" often refers to a sequence that intersects a family of sets or subspaces. Its precise meaning depends heavily on the specific mathematical context.

What fields commonly use the term "transversal sequence"?

The term "transversal sequence" is predominantly used in fields like fixed-point theory and some areas of medical imaging. Its occurrence in other areas is much less frequent.

What's a simple alternative to "transversal sequence"?

Depending on the context, alternatives like "intersecting sequence" or "crossing sequence" might serve as simpler alternatives, especially if the transversal aspect is the key characteristic.

Is "transversal sequence" the same as "cross-sectional sequence"?

While both terms suggest a spanning or intersecting nature, "transversal sequence" typically implies a more specific mathematical or geometric relationship, whereas "cross-sectional series" often refers to data taken across different categories or groups at a single point in time.