generated by multiplying

USAGE SUMMARY

The phrase "generated by multiplying" is correct and usable in written English.
It can be used in mathematical or scientific contexts to describe a result that comes from the process of multiplication. Example: "The area of the rectangle is generated by multiplying its length by its width."

✓ Grammatically correct

Science

Human-verified examples from authoritative sources

Exact Expressions

28 human-written examples

A 1×n pre-coded codeword x is generated by multiplying a k×n generator matrix G and 1×k pre-coded message m constructed by multiplying a 1×k secret message u and a k×k scrambling matrix S. Figure 2 illustrates a simple example of the puncturing and scrambling schemes.

EURASIP Journal on Wireless Communications and Networking

Power estimates are generated by multiplying the active power of the network by the estimated or actual network utilization.

EURASIP Journal on Wireless Communications and Networking

The interaction term is generated by multiplying the experience coefficient or the externality threshold by each of the topological metrics on the corresponding network layer.

Journal of Innovation and Entrepreneurship

The resulting n T ×T HR-DSM codeword C is generated by multiplying X by x, i.e., Ct+1=Xt+1·xt+1.

EURASIP Journal on Wireless Communications and Networking

The deadlines of the jobs are generated by multiplying SET j R (recall Section "Deadline Budgeting Algorithm for Workflows") with an execution time multiplier (em) and adding the resulting value to s j.

Journal of Cloud Computing

Finally, the corrected plasma input function was generated by multiplying this total plasma curve with a sigmoid function derived from the best fit to one minus the polar fraction [19, 34].

EJNMMI Research

Human-verified similar examples from authoritative sources

Similar Expressions

32 human-written examples

In the proposed HR-DSM scheme, transmit signal matrix (i.e., HR-DSM codewords) are generated simply by multiplying SC codewords by signal symbols drawn from an M-PSK constellation.

EURASIP Journal on Wireless Communications and Networking

During the odd time slot, the l th subgroup is generated at by multiplying K×K unitary precoding matrix P s,o ( l ) to u as T sub,o ( l ) = u T P s,o ( l ) T, u T P s,o ( l ) T T. Note that the i th subgroups in the first and second groups are identical each other.

EURASIP Journal on Wireless Communications and Networking

This results in a multiplicative OR for a polygenotype in which the combinatorial genotype OR is generated simply by multiplying individual ORs for the variants that are present for a specific genotype profile.

Environmental Health Perspectives

compcodeR generates outliers by multiplying the read counts by 5 10.

BMC Genomics

As a result, in order to address and retrieve a given transform kernel value from the PE ROM, it is only necessary to combine the bits of the Type_T signal with those of the address value generated by the Multiplier Decoder block (f ′ ), which represents the offset inside the memory segment.

EURASIP Journal on Advances in Signal Processing

Expert writing Tips

Best practice

When using "generated by multiplying", ensure that the context clearly defines the elements being multiplied. This avoids ambiguity and enhances clarity, especially in technical writing.

Common error

Avoid using "generated by multiplying" when the multiplication is merely correlational, and not directly causative. Make sure that multiplying the values directly results in the described outcome and isn't just an associated calculation.

Linguistic Context

The phrase "generated by multiplying" functions as a participial phrase, specifically a past participial phrase functioning as an adjective. It describes how something is produced or created, with the method of production being multiplication, as shown in the Ludwig examples.

Expression frequency: Common

Frequent in

Science

95%

News & Media

2%

Wiki

2%

Less common in

Formal & Business

0%

Encyclopedias

0%

Reference

0%

Ludwig's WRAP-UP

In summary, "generated by multiplying" is a grammatically sound participial phrase commonly employed to elucidate the derivation of a value or result through multiplication. As Ludwig's analysis demonstrates, this phrase is predominantly found in scientific and academic contexts, where precision is paramount. While it is correct, ensure that the context clearly defines what is being multiplied to avoid ambiguity. Though widely accepted and correctly used, be mindful of implying causality where only correlation exists. Ludwig AI confirms its validity, and provides multiple examples of it being used in well-formed, authoritative contexts.

More alternative expressions

Phrases that express similar concepts, ordered by semantic similarity:

obtained through multiplication

This alternative replaces "generated by" with "obtained through", emphasizing the result of the multiplication.

produced by multiplication

Similar to the original, this phrase uses "produced by" instead of "generated by", focusing on the multiplication as the cause.

resulting from multiplication

This highlights that the result is a consequence of the multiplication.

derived by multiplying

This emphasizes the process of derivation through multiplication.

computed by multiplying

Using "computed by" stresses the calculation aspect of the multiplication.

calculated by multiplying

Focuses on calculating the result through multiplication.

formed by multiplication

Highlights the creation of something new through multiplication.

created by multiplying

Similar to "formed by", but emphasizes the act of creation.

determined by multiplying

Focuses on the use of multiplication to find or establish a value.

yielded by multiplication

Emphasizes the outcome or product of the multiplication process.

FAQs

How can I use "generated by multiplying" in a sentence?

Use "generated by multiplying" to describe how a value or result is obtained through the process of multiplication. For example, "The area of the rectangle is generated by multiplying its length and width."

What are some alternatives to "generated by multiplying"?

You can use alternatives like "obtained through multiplication", "produced by multiplication", or "resulting from multiplication" depending on the context.

Is it correct to say "the result was generated by multiplying"?

Yes, "the result was generated by multiplying" is grammatically correct. It clearly indicates that the result came about through multiplication.

What is the difference between "generated by multiplying" and "calculated by multiplying"?

"Generated by multiplying" emphasizes the creation or production of a value, while "calculated by multiplying" focuses more on the computational aspect. The choice depends on whether you want to highlight the process of creation or computation.