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"based on the thought" is a correct and usable phrase in written English.
You can use it when you are introducing an idea or opinion you are about to present, to indicate that it is rooted in something previously stated. For example: "The evidence shows that the company is not doing as well as it should be. Based on this thought, it may be time to consider changing the company's business model."
Exact(23)
Their scalar synchronous controller is proposed based on the thought of backstepping design.
These thoughts represent the ideas that piqued my interest while curating talks and exhibits based on the thought experiment of a future African city-superpower.
CNPO uses a pore vector containing 0 or 1 to extract the essential FSs with high contribution based on the thought of cell nuclear pore selection mechanism.
Furthermore, a kind of 3D nacreous composite material is designed based on the thought of staggered and combined soft and hard materials.
Based on the thought mentioned above, the new concept of quasi-standing wave and generalized half-wave loss are put forward for the first time.
Mary Habeck explains that these extremist groups belong to a new movement known as jihadism with a specific ideology based on the thought of Muhammad ibn Abd al-Wahhab, Hasan al-Banna, and Sayyid Qutb.
Similar(37)
This category is based on the thoughts assigned to two substantive codes: one code indicating those that were positive towards the screening and one indicating those that questioned the screening for HN.
The approach is established based on the thoughts of the newly developed probability density evolution method, which is capable of capturing the instantaneous probability density function (PDF) and its evolution of the responses of nonlinear stochastic structures.
Beck cast off his Freudian mindset of instinctual drives and unconscious impulses in favour of a cognitive model, and developed a form of therapy based on the thoughts and beliefs that patients had about themselves.
Recruiters are increasingly going beyond the resume to locate top technical talent, whether it's engaging with candidates within popular online IT communities or evaluating talent based on the thought-leadership--presentations, blog posts--that they've made available online.
However, below the surface of the Webster Dictionary outline, the word produces multiple meanings that may differ greatly based on the thoughts that fill, or do not fill, the container of the word father from person to person.
More suggestions(21)
based on the thoughts
based on the think
based on the concern
based on the insight
based on the impression
based on the reflection
based on the intention
based on the reflections
based on the he
based on the ideological
based on the ideas
bases on the thought
based on the biography
based on the leader
based on the translation
based on the book
based on the play
based on the story
based on the religion
based on the life
based on the novel
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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