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The phrase "kernel idea" is correct and can be used in written English
You would typically use it to refer to the basic or central concept or thought that an author or speaker is trying to communicate. For example, "The kernel idea of the article was that politicians must be held to their promises."
Exact(4)
The kernel idea to the different measures is based on the number of times for two terms co-occurrence at the same documents.
The kernel idea is that multi-feature analysis can recognize the inhomogeneity in modulatory coverage more accurately and that center and surround with the grouping structure satisfying Gestalt rule deserves high connection-probability.
As the kernel idea, each controller runs a common algorithm to choose among the three polling intervals and adaptively switches link state between the active data transfer state and idle.
The deformable kernel idea consists of approximating a discrete kernel whose shape we want to control in a certain way by doing linear combinations of some (unknown a priori, in a general case) reference kernels [15].
Similar(56)
The core idea for the graph kernel that we use (called Neighborhood Subgraph Pairwise Distance Kernel or NSPDK in short) [ 34] is to generalize (gapped) k-mers string kernels to graphs.
Dimbleby says foodies such as himself are permanent magpies who are "constantly travelling, eating, finding kernels of ideas and morphing them".
But the kernel of my idea held up, and my bucking of established thought helped set me on my career.
And how do things usually progress after the first kernel of an idea?
Obviously the circumstances have changed, but I feel the kernel of that idea is still there".
Sometimes it's the whole thing, sometimes it's just a kernel of an idea that you want to use.
"That's where the learning came from, and they were the kernel of this idea," Mr. Osborne said.
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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