The part of a sentence 'essentially equivalent to the' is correct and usable in written English.
You can use it to compare or equate one thing to another, showing that they are essentially the same or have the same meaning or effect. Example: "In this context, the term 'freedom of speech' is essentially equivalent to the concept of 'free expression', as they both refer to the ability to express oneself without censorship or restraint."
Indeed, many of them made use of concepts—such as "qualia," and "felt sensation"—that were essentially equivalent to the notion of sense-data.
The State Ethics Commission issued an advisory opinion that said the governor's spouse is "functioning as a representative of the state and its citizens; essentially equivalent to the role of a public official".
The shiftability in orientation and scale is essentially equivalent to the steerability and scalability proposed in [30 32], respectively.
Note that the Eq. 2 is essentially equivalent to the classic Williamson-Hall method and its subsequent variations [40 45].
The axiomatization thus obtained is proved essentially equivalent to the corresponding axiomatization which uses successor state axioms.
The ignition characteristics for these micron particles are essentially equivalent to the nanothermite despite their significantly larger physical size.
Overall, the abbreviated version of the FSFI was found to have adequate psychometric properties that are essentially equivalent to those of the full-scale measure (see the online appendix available at http://care.diabetesjournals.org/cgi/content/full/dc08-1164/DC1).
Mice treated with 1 mg chlordecone pellets had titers significantly higher than those of controls (p < 0.01) and essentially equivalent to those in the sham-operated comparison group.
The division of the charge density by double the Debye length is essentially equivalent to integrating the local potential, Ψ, resulting from the charge density over distance, x, from the membrane.
This is essentially equivalent to normalising the data matrix by the mean profile.
The issue of separating attribute impact weights and scales is essentially equivalent to estimating the utility associated with a particular attribute per se (its weight or impact in a utility function) separately from the additional utility gained/taken away by that attribute exhibiting an attractive/unattractive level (the utility level scale value).
