is continuous from

USAGE SUMMARY

The phrase "is continuous from" is correct and usable in written English.
It is typically used in mathematical or technical contexts to describe a function or process that does not have any breaks or interruptions over a specified interval. Example: "The function f(x) is continuous from the interval [a, b], meaning there are no gaps in its values between these two points."

✓ Grammatically correct

Science

News & Media

Human-verified examples from authoritative sources

Exact Expressions

60 human-written examples

It is easy to see T0: E → E is continuous from the continuity of H and (B2).

Advances in Difference Equations

It is easy to see that (overline {T}:Erightarrow E) is continuous from the continuity of (G_{alpha} t, s)).

Advances in Difference Equations

We note that P n is continuous from the continuity of f ( x, u ) with respect to u.

Boundary Value Problems

The audience is continuous from season to season, not the productions.

The New York Times

The map is continuous from to, here,.

Advances in Difference Equations

f is continuous from ((X,tau(d))) into itself.

Fixed Point Theory and Applications

The operator (N cdot)) is continuous from V̂ to Ĥ.

Boundary Value Problems

Then we claim A is continuous from X to (X^).

Boundary Value Problems

Trading is continuous from 9 00 a.m. to 5 30 p.m.

SERIEs

(4)   (4) f is continuous from ((X,tau(d))) into itself.

Fixed Point Theory and Applications

Since is continuous from relations (3.48) and (3.49) it follows that.

Advances in Difference Equations

Expert writing Tips

Best practice

When describing mathematical functions or physical phenomena, use "is continuous from" to indicate that there are no abrupt changes or discontinuities within a specified interval or domain. This ensures clarity and precision in technical writing.

Common error

Avoid substituting "from" with prepositions like "to" or "with" as it changes the meaning. "Is continuous from" specifies a starting point or origin, while other prepositions suggest different relationships.

Linguistic Context

The phrase "is continuous from" functions as a linking phrase, connecting a subject with a description of its continuous nature originating from a particular point or condition. Ludwig AI confirms its correctness.

Expression frequency: Very common

Frequent in

Science

75%

News & Media

15%

Formal & Business

10%

Less common in

Academia

0%

Encyclopedias

0%

Wiki

0%

Ludwig's WRAP-UP

The phrase "is continuous from" is a grammatically correct and commonly used linking phrase, predominantly found in scientific and technical writing. It signifies an uninterrupted connection or extension from a specific origin, according to Ludwig AI. When using the phrase, ensure the preposition "from" is correct to maintain the intended meaning and context. Alternatives like "extends seamlessly from" can be used to convey similar meanings.

More alternative expressions

Phrases that express similar concepts, ordered by semantic similarity:

extends seamlessly from

Focuses on the uninterrupted extension or flow, emphasizing the lack of breaks or gaps.

transitions smoothly from

Highlights the gradual and unbroken change between two states or points.

flows uninterruptedly from

Emphasizes the constant and unbroken flow, suggesting a lack of obstructions or pauses.

connects directly to

Indicates a straightforward link without intermediary steps or elements.

is derived directly from

Suggests a clear and immediate origin or source, emphasizing the direct relationship.

originates consistently from

Stresses the reliable and constant source or beginning.

is always linked with

Highlights an invariable association or connection between two things.

is incessantly joined to

Focuses on the unceasing connection, often implying a physical or structural link.

progresses steadily from

Emphasizes the continuous and unwavering advancement or development.

remains unbroken from

Highlights the intact and uninterrupted nature of the connection or sequence.

FAQs

How is "is continuous from" typically used in mathematical contexts?

In mathematics, "is continuous from" indicates that a function has no breaks or jumps within a certain interval. For example, "the function f(x) is continuous from a to b" means there are no discontinuities between points a and b.

Are there alternatives to "is continuous from" that maintain a similar meaning?

Yes, you can use phrases like "extends seamlessly from" or "transitions smoothly from" to convey a similar sense of uninterrupted flow or connection.

Is it grammatically correct to say "is continuous to" instead of "is continuous from"?

No, "is continuous to" is not grammatically correct in this context. The correct phrasing is "is continuous from", which specifies the starting point or origin of the continuity.

In what fields or contexts is the phrase "is continuous from" most commonly used?

The phrase "is continuous from" is commonly used in fields like mathematics, physics, engineering, and computer science to describe functions, processes, or systems that operate without interruption or abrupt changes.