the minimum value of x is vs is dependent upon the probability

These two phrases are not directly comparable as they convey different ideas. The first phrase introduces a statement about the minimum value of x, while the second phrase discusses the dependency of something on probability. They serve different purposes and cannot be interchanged.

Last updated: March 15, 2024 • 729 views

This phrase is correct and commonly used in English to introduce a statement about the minimum value of x.

"the minimum value of x is "

This phrase is typically followed by the actual minimum value of x or a mathematical expression defining it.

Examples:

The minimum value of x is 5.
The minimum value of x is determined by the equation.
The minimum value of x is crucial for the analysis.

Show examples from the web [+]

Hence, the minimum value of x is -1 and the maximum value of x is 13/3. Normally, this type of problem can be solved as a constrained optimization problem, ...
... distribution Type II is also known as the Lomax distribution. In this section, the symbol xm, used before to indicate the minimum value of x, is replaced by σ.
For example, for [5,4,3,2,8] , the minimum value of x is 3 . This is because [2,3,4,5, 8] can be obtained by increasing or decreasing every element ...
Thus, the minimum value of X is 50. Assume now that the agent can take an action (call it care) which affects the probability of the loss being realized.

This phrase is correct and commonly used in English to indicate that something relies on or is influenced by probability.

"is dependent upon the probability "

This phrase is often used to explain how an outcome or result is affected by the likelihood of events.

Examples:

The success of the project is dependent upon the probability of favorable conditions.
The accuracy of the forecast is dependent upon the probability of certain events.
The decision-making process is dependent upon the probability of risks.

Show examples from the web [+]

... a more cost-effective option than elective caesarean section, although its cost effectiveness is dependent upon the probability of successful vaginal delivery.
genotypes. It is important that in these evolutionary processes, the average period is dependent upon the probability of paternal organelle transmission, Formula ...
value of x bar is considered to be larger or smaller, that is dependent upon the probability of typeI error.Therefore, we are now able to formulate in the terms of ...
The likelihood of an occurrence of a loss producing event affecting this individual is dependent upon the probability of a mishap during the HMTA, the probability ...

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the minimum value of x is vs is dependent upon the probability