the corresponding associated probabilities vs and left with only

These two phrases are not directly comparable as they serve different purposes. The first phrase is a more formal and specific way to refer to probabilities that are associated with something, while the second phrase seems to be incomplete and lacks context. It would be best to provide more information about what is being left with only in order to make a proper comparison.

Last updated: March 17, 2024 • 706 views

This phrase is correct and commonly used in formal contexts to refer to probabilities that are associated with something.

" the corresponding associated probabilities "

This phrase is used to indicate probabilities that are linked or connected to specific elements or events.

Show examples from the web [+]

W, = W); the corresponding associated probabilities are {p,, p2, . . . , pwL} and. { pwL+,, . . . ,pw]. We define pL=Xj=Ll pi and pM -ZEwL+l pi. We straightforwardly.
... X represent the length of wet spells and the random variable Y the length of dry spells. We shall denote by p' and p the corresponding associated probabilities.
at time interval Ti ) that will contain all frequent paths as well as the corresponding associated probabilities. It is assumed that there are two types of calls: Class-I ...

This phrase seems incomplete and lacks context. It is not a common or correct way to express a complete thought.

"and left with only "

Show examples from the web [+]

Six men were to be sealed in a cave and left with only enough supplies for a year . The volunteers—two doctors, three signalmen and their leader—would run an ...
... by Frank Morgan and his uncle Sherman Dreiseszun. After a decade of decline and left with only two stores, the mall closed its doors on April 15, 2014.
Sep 8, 2015 ... Although Leonard was permanently paralyzed in his legs and left with only partial use of his arms, the next step for the medical team was to ...
May 5, 2015 ... While low-end 32-bit MCUs are being squeezed and left with only the most basic peripherals, 8-bit MCUs are being loaded with new and ever ...

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the corresponding associated probabilities vs and left with only