Difference between Microscopic and Infinitesimal

MICROSCOPIC vs INFINITESIMAL: NOUN

A non-zero quantity whose magnitude is smaller than any positive number (by definition it is not a real number).
An infinitely small quantity; that which is less than any assignable quantity.
In mathematics, a fictitious quantity so small that by successive additions to itself no sensible quantity, such as the unit of quantity, could ever be generated.
A function or variable continuously approaching zero as a limit.
An immeasurably or incalculably minute amount or quantity.
(mathematics) a variable that has zero as its limit

So small that it can only be seen using a microscope
Very small.
Able to see extremely minute objects.
Of or pertaining to the microscope or to microscopy; made with a microscope.
Characterized by or done with extreme attention to detail.
Exceedingly small; minute.
Of, relating to, or concerned with a microscope.
Too small to be seen by the unaided eye but large enough to be studied under a microscope.
Infinitely or immeasurably small
Of or relating to or used in microscopy
Extremely precise with great attention to details
Of, or relating to microscopes or microscopy; microscopal
Too small to be seen except under a microscope
Carried out with great attention to detail
Visible under a microscope; using a microscope
So small as to be invisible without a microscope
Very small; minute

Infinitely or immeasurably small
Immeasurably or incalculably minute.
Capable of having values approaching zero as a limit.
Very small.
The different and the integral calculus, when developed according to the method used by Leibnitz, who regarded the increments given to variables as infinitesimal.
Of or pertaining to values that approach zero as a limit.
Incalculably, exceedingly, or immeasurably minute; vanishingly small.

Visible under a microscope
Using a microscope
Also microscopical.
Pertaining to a microscope, or having its character or function; adapted to the purposes of a microscope, or to the inspection of minute objects: as, a microscopic lens, eyepiece, or stand; microscopic sight or vision.
Of minute size; so small as to be invisible or indistinct to the naked eye; adapted to or prepared for examination by the miscroseope: as, microscopic creatures or particles; a microscopic object.
Made or effected by or as if by the aid of a microscope; hence, relating to things of minute size or significance; infinitesimal; petty: as, microscopic observations or investigations; microscopic criticism.
Characteristic of the microscope or its use : as, to observe anything with microscopic minuteness; microscopic definition of an object.
Employing or working with a microscope, or as if with a microscope.

Micro, Microscope, Microscopy, Tiny, Minuscule, Microscopical, Atomlike, Subgross, Minute, Little, Atomic, Small, Precise, Infinitesimal, Subatomic

Unmeasurable, Imperceptible, Inconsequential, Infinite, Insignificant, Minuscule, Miniscule, Wee, Minimum, Minimal, Negligible, Minute, Little, Small, Microscopic

Micro, Microscope, Microscopy, Tiny, Minuscule, Subgross, Microscopical, Atomlike, Minute, Little, Atomic, Small, Precise, Infinitesimal, Subatomic

Unmeasurable, Imperceptible, Inconsequential, Infinite, Insignificant, Minuscule, Miniscule, Wee, Minimum, Minimal, Negligible, Minute, Little, Small, Microscopic

Ray Microscopic Study of Carbonated Calcium Silicate Hydrate.
Solubility of Miscellaneous Compounds Used in Microscopic Work.
The decomposition of microscopic particles occurs very rapidly.
One is the microscopic or kinetic theory approach.
Lecture and laboratory course on human microscopic anatomy.
The cause of microscopic colitis is not known.
All had imaging studies and microscopic diagnostic confirmation.
Thermodynamics describes the bulk behavior of the body, not the microscopic behaviors of the very large numbers of its microscopic constituents, such as molecules.
If one of these repeat test results is positive on microscopic analysis, the patient is considered to have microscopic hematuria.
So, these were samples that had significant microscopic elements, but they would have never been reflex to microscopic analysis by our predefined criteria.

And then, once we know that these takeaways are infinitesimal.
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Infinitesimal rotations are listed as Ix, Iy, and Iz.
Echanges upon an infinitesimal change in the coupling strength.
August sun: an infinitesimal tattoo of whispering explosions.
Primer of Infinitesimal Analysis by John L Bell.
If the condition defining an infinitesimal could be stated as a polynomial equation the process of constructing an infinitesimal would be easy.
You will have to prove it for an infinitesimal loop in that plane, infinitesimal in that plane, infinitesimal in that plane.