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The phrase "a function of earnings" is correct and usable in written English.
It can be used in contexts discussing how certain variables or outcomes are influenced by or related to earnings.
Example: "The company's stock price is often viewed as a function of earnings, reflecting its profitability and growth potential."
Alternatives: "dependent on earnings" or "related to earnings".
Exact(2)
The plan had a negative income tax at its center — it guaranteed money to families with children, with assistance payments declining as a function of earnings.
Benefits are terminated if the new disability degree is below 40%%. Figure 1 shows the total income, i.e., the sum of earnings and first and second pillar DI pensions, as a function of earnings for a representative (single) DI beneficiary with pre-disability earnings of CHF 70,000.
Similar(58)
Second, eligible individuals who find work receive supplement payments that are a function of their earnings upon obtaining employment.
DeKaser cites the so-called Alan Greenspan model for share price returns which holds that stock prices are a function of projected earnings discounted by rates on ten-year Treasury bills.
Her disposable income c is therefore a linear function of earnings, the intercept of which I denote as b and the slope I denote as μ: c = n + ϵ μ + b (1).
Cash-cliff thresholds, however, are a function of unobserved potential earnings (see Section 2).
The heterogenous impacts of a higher level of enforcement are explained by labor regulations which vary by gender in some cases, e.g., maternity leave, or have a different impact on firms' costs due to different men and women characteristics, e.g., contributions to the pension system which are a function of monthly labor earnings.
The dividend yield for the market is a function of its price-earnings ratio more than the dividend payout ratio on earnings.
The book also showed that people's annual consumption is a function of their expected lifetime earnings, rather than a reflection of current income, which was the Keynesian view.
Also, the benefit would be a function of the worker's earnings history, calculated as an average of the best 3 years of salaries during the last 10 years of work, which led to the replacement ratio to be between 70 and 82%%.
In this model, firm value equals reported book value plus an infinite sum of discounted residual income and is expressed as a function of accounting numbers, namely future earnings and expected book values.
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Since I tried Ludwig back in 2017, I have been constantly using it in both editing and translation. Ever since, I suggest it to my translators at ProSciEditing.

Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com