by multiplying with

USAGE SUMMARY

"by multiplying with" is correct and usable in written English and is part of an informal way of saying "by multiplying".
For example, "I solved the math equation by multiplying with 3."

✓ Grammatically correct

Science

Human-verified examples from authoritative sources

Exact Expressions

60 human-written examples

The directionless electric field intensities (35 mV/mm peak intensity) at each point were converted to intracellularly injected current values by multiplying with a factor (4.5 nA/mV/mm) to mimic transmembrane currents.

Nature

Soil water content (further converted to SWS by multiplying with depth) was measured for five years (2007 2011) along a transect of 128 points at a study site that has representative hummocky landscape of the North American Prairie Pothole region.

CATENA

(2) By multiplying with from (9), compute (11).

EURASIP Journal on Wireless Communications and Networking

By multiplying with and ) and integrating over, we have (3.14).

Boundary Value Problems

Therefore, by multiplying with and integrating over, the inequality (4.14) follows the claim.

Boundary Value Problems

Each user decodes the desired data by multiplying with the receive processing matrix.

EURASIP Journal on Advances in Signal Processing

Equalization can now easily be done by multiplying with the inverse of the diagonal channel matrix.

EURASIP Journal on Wireless Communications and Networking

The Gram matrix of the normalized equivalent dictionary is computed and the values above are "shrinked" by multiplying with.

EURASIP Journal on Advances in Signal Processing

what follows from (18) by multiplying with 2 f 2 ( x, t ), where we utilize the q-exponential identity (9).

Advances in Difference Equations

All field-measured volume data were converted into biomass by multiplying with the associated G derived from laboratory analysis.

Forest Ecosystems

For any small (eta>0), any (kinmathbb{R}), by multiplying with (varphi S_{eta} (u-k)) in equation (1.1), we can obtain the entropy inequality (1.8).

Boundary Value Problems

Expert writing Tips

Best practice

When writing technical documents, ensure the context clearly indicates what is being multiplied and the purpose of the multiplication. For example: "The signal strength was enhanced by multiplying with a gain factor."

Common error

Ensure clarity by specifying what is being multiplied by what. Avoid vague statements like "The values were adjusted by multiplying with a constant" without defining the constant and the original values.

Linguistic Context

The phrase "by multiplying with" functions as an adverbial phrase, modifying a verb to indicate the method or means by which an action is performed. As Ludwig AI confirms, it's a common and acceptable way to describe a mathematical operation.

Expression frequency: Very common

Frequent in

Science

100%

Less common in

News & Media

0%

Formal & Business

0%

Ludwig's WRAP-UP

In summary, the phrase "by multiplying with" is a grammatically correct and common way to describe a mathematical operation used to achieve a specific outcome. Ludwig AI confirms its correctness and usability, particularly in scientific and technical contexts. While perfectly acceptable, it's important to ensure clarity by specifying the elements involved in the multiplication. More concise alternatives like "multiplying by" may also be considered depending on the desired level of formality.

More alternative expressions

Phrases that express similar concepts, ordered by semantic similarity:

through multiplication by

This alternative specifies the method more explicitly, indicating multiplication as the means.

via multiplication with

Similar to "through multiplication by", this option emphasizes the process of multiplying.

by means of multiplying by

This expands the phrase to explicitly state that multiplication is the tool or method being used.

using multiplication with

This alternative highlights the utilization of multiplication in a particular context.

with the aid of multiplication by

This phrase emphasizes that multiplication is assisting in achieving a certain result.

involving multiplication by

This option is used when multiplication is a component of a more complex process.

upon multiplying by

This structure specifies a condition or timing, implying that multiplication leads to a subsequent action.

after multiplying by

Specifies the time order of operation. Multiplication has been completed and then something else happens.

on multiplying by

This is a slightly more formal way to express the same timing as "upon multiplying by".

through application of a multiplicative factor

This option uses formal language to describe multiplying with an intent to correct or scale a quantity.

FAQs

How do I use "by multiplying with" in a sentence?

Use "by multiplying with" to describe a mathematical operation where a value is scaled or converted. For example, "The data was normalized by multiplying with a scaling factor".

What are some alternatives to "by multiplying with"?

You can use alternatives like "through multiplication by", "via multiplication with", or "using multiplication with" depending on the context.

Is "by multiplying with" grammatically correct?

Yes, "by multiplying with" is grammatically correct and commonly used, especially in technical and scientific contexts. It describes a method or process.

What's the difference between "multiplying by" and "by multiplying with"?

"Multiplying by" is a more concise and often preferred alternative. "By multiplying with" is also correct but may sound slightly less formal. The choice depends on the desired tone and style of your writing.