calculated by maximizing

USAGE SUMMARY

The phrase "calculated by maximizing" is correct and usable in written English.
It can be used in contexts involving optimization, mathematics, or decision-making processes where the goal is to achieve the highest possible value or outcome. Example: "The optimal solution was calculated by maximizing the profit margins while minimizing costs."

✓ Grammatically correct

Science

Human-verified examples from authoritative sources

Exact Expressions

10 human-written examples

It is shown that by estimating a probability of acceptance the optimal bidding price with respect to a given capacity can be calculated by maximizing a stochastic non-linear objective function of expected profit.

European Journal of Operational Research

The MLE (widehat {{boldsymbol {theta }}}) of the vector of unknown parameters can be calculated by maximizing the log-likelihood (41).

Journal of Statistical Distributions and Applications

The ML estimate is calculated by maximizing Equation 4. We generate an estimate for I j  given α j  by taking logarithms of Equation 4, differentiating w.r.t I j  in each color component separately and setting the result to zero.

EURASIP Journal on Image and Video Processing

Optimal cutoff values were calculated by maximizing the Youden index (J = sensitivity + specificity −1).

Critical Care

This range was calculated by maximizing and minimizing the extreme pathway weighting factors, resulting in the so called α-spectrum.

BMC Systems Biology

The p value of exact test can be calculated by maximizing the probability in (5), (6), or (7) over the two nuisance parameters, p and ρ.

BMC Medical Research Methodology

Human-verified similar examples from authoritative sources

Similar Expressions

50 human-written examples

Basically, factors F S  =  S W S and F T  =  T W T are linear combinations of SNP variables and transcript variables, where the weight values W S and W T in the linear combinations can be calculated iteratively by maximizing the covariance of F S and F T. The maximization procedure can be performed using a nonlinear iterative partial least squares algorithm.

BMC Genomics

The final matrix is calculated following Bayes' Theorem by maximizing the product of the probabilities of likelihood and prior.

Plosone

In the GCC-based method, the time delay is calculated by finding a lag that maximizes the GCC function between acquired signals.

EURASIP Journal on Advances in Signal Processing

Next, we compared the manually tagged steps with the automatically tagged steps, which were calculated from maximizing sar s,j,k) by p s,t).

Research and Practice in Technology Enhanced Learning

The bounds are calculated by solving an optimisation problem for maximizing and minimizing the flux of each reaction iteratively.

BMC Systems Biology

Expert writing Tips

Best practice

When using "calculated by maximizing", ensure that the function being maximized is clearly defined and relevant to the context. State explicitly what is being maximized to avoid ambiguity.

Common error

Avoid stating that something is "calculated by maximizing" without specifying what is being maximized. For example, instead of "the result was calculated by maximizing", specify "the result was calculated by maximizing profit".

Linguistic Context

The phrase "calculated by maximizing" functions as a descriptor, indicating a method of computation. It specifies that a particular value or result is derived through an optimization process where a specific function or metric is maximized. As Ludwig AI underlines, this expression is perfectly correct.

Expression frequency: Common

Frequent in

Science

100%

Less common in

News & Media

0%

Formal & Business

0%

Academia

0%

Ludwig's WRAP-UP

The phrase "calculated by maximizing" serves as a descriptor for a method where results are derived through mathematical optimization, predominantly in scientific and technical contexts. As Ludwig AI confirms, its grammatical correctness and common usage underscore its importance in clearly articulating methodologies. While alternatives such as "determined through maximization" or "obtained by maximizing" exist, the core function remains consistent: specifying that an outcome is achieved by finding the maximum of a defined function. When employing this phrase, ensure clarity by explicitly stating what is being maximized, enhancing precision and comprehension.

More alternative expressions

Phrases that express similar concepts, ordered by semantic similarity:

determined through maximization

Replaces "calculated by" with "determined through", maintaining the focus on the maximization process.

obtained by maximizing

Substitutes "calculated by" with "obtained by", emphasizing the result of the maximization.

derived by maximizing

Replaces "calculated by" with "derived by", highlighting the derivation aspect of the process.

computed via maximization

Uses "computed via" instead of "calculated by", adding a slightly more formal tone.

estimated through maximization

Emphasizes estimation rather than direct calculation, suitable when the result is an approximation.

evaluated by maximizing

Focuses on the evaluation aspect, where maximization is the method used.

optimized to maximize

Shifts the focus to the optimization process itself, implying that the calculation aims to maximize something.

found by maximizing

Highlights the act of finding a value through maximization.

assessed by maximizing

Indicates an assessment process where maximization is used as a technique.

resolved through maximization

Suggests that a problem or value is resolved or determined by finding the maximum.

FAQs

How can I use "calculated by maximizing" in a sentence?

Use "calculated by maximizing" to describe a process where a value is determined by finding the maximum of a specific function or variable. For example: "The optimal bidding price was "calculated by maximizing" expected profit."

What are some alternatives to "calculated by maximizing"?

Alternatives include "determined through maximization", "obtained by maximizing", or "derived by maximizing", depending on the specific nuance you want to convey.

Is it correct to say "determined by maximizing" instead of "calculated by maximizing"?

Yes, "determined by maximizing" is a valid alternative. The choice depends on the specific context and whether you want to emphasize the calculation or the determination aspect.

What does it mean to say a value is "calculated by maximizing" something?

It means that the value was found by identifying the point at which a particular function or variable reaches its highest possible value, subject to certain constraints or conditions.