/ˌɪn.fɪ.nɪˈtes.ɪ.məl/ (adj)

Definition

extremely small and inconsiderable, bagatelle, minuscule, imperceptible, nominal, microscopic, minute, puny, tiny, negligible, teeny, indiscernible, diminutive

Example

What is the volume of a cylinder with infinite length and infinitesimal radius?

Say the particle is in a cylinder of infinite length and infinitesimal radius. Then the momentum and energy will be quantized along the radius due to confinement i.e. it feels an infinite potential in this direction and would be similar to the particle in a box solutions along the radial directions. However since it doesn’t feel any potential in the longitudinal direction, the momentum along length will be continuous or like a free particle. So basically you have quantization of momentum and energy along different directions.

Source of example: https://www.quora.com/

Antonyms

voluminous, huge, mammoth

Parts of speech

Adverb: infinitesimally

Neglect 504 Absolutely Essential Words Lesson 6

/nɪˈglekt/ (noun & verb)

to give inadequate attention to someone or something, ignore, be lax about, overlook, pass over, disregard, desert, abandon, forget, avoid – negligence, abandonment, desertion, lack of care, inattention

Neglect means the failure (whether intentional, careless or due to inadequate experience, training, or skill) to provide basic necessary care or services when agreed to by legal, contractual, or otherwise assumed responsibility when such failure may lead to physical or emotional harm. This includes failure of a person who has fiduciary responsibility to assure the continuation of necessary care (for example, failure to pay for necessary care resulting in the withdrawal of services).

Source: http://www.dhs.state.or.us/

Antonyms: look after, care

Noun: negligence

Adjective: negligible

Adjective: neglected

Adjective: neglectful

Adverb: negligibly

Negligible 1100 Words You Need Week 42 Day 1

/ˈneg.lɪ.dʒə.bļ/ (adj)

so small and slight in amount and importance that it can easily be disregarded, nominal, infinitesimal, unimportant, trivial, insignificant, trifling, minor, inconsequential, petty, paltry, inadequate, insufficient, meager, tiny, imperceptible

Traditionally, the Commission has required that a product advertised as Made in USA be “all or virtually all” made in the U.S.

“All or virtually all” means that all significant parts and processing that go into the product must be of U.S origin. That is, the product should contain no — or at least negligible — foreign content.-Federal Trade Commission pdf

So what does “or at least negligible” actually mean?

Source: https://falconerelectronics.com/

Antonyms: significant, paramount, salient

Adverb: negligibly

Verb: neglect

Imperceptible 1100 Words You Need Week 40 Day 4

/ˌɪm.pəˈsep.tɪ.bļ/ (adj)

unable to be noticed or perceived due to being very slight and unrecognizable, inconsiderable, unidentifiable, nominal, subtle, infinitesimal, trifling, unnoticeable, undetectable, indistinguishable, indiscernible, invisible, inaudible, faint, negligible, indistinct

To someone in an agragrian society, such as Heraclitus, it would be evident that many things are changing imperceptibly: crops are growing, but we notice the change only if we look on widely separated days; animals grow, but we never see one growing; felled trees decay, but we may notice that they are rotted through only if our foot happens to fall through when we step on them. Change is exactly what one intelligently ‘discerns’ by paying close attention; imperceptible change is not something contradicted by experience.

Source: http://dissoiblogoi.blogspot.com/

Antonym: obvious, identifiable

Adverb: imperceptibly

Noun: imperceptibility

Trivial 1100 Words You Need Week 32 Day 2 with authentic materials and examples, synonyms, antonyms, illustrated flashcards and text-to-speech for GRE, TOEFL & IELTS

/ˈtrɪv.i.əl/ (adj)

unimportant and low in value or quality, insignificant, trifling, paltry, small, inconsequential, insignificant, slight, petty, puny, marginal, frivolous, negligible, minor

Getting upset over trivial matters? There’s a rational explanation

So while it’s silly to let trivialities infuriate us, the region-beta paradox reminds us that distress doesn’t obey simple rules; there’s no purely objective standard from which it’s possible to judge anyone’s reaction, to anything, as being over the top. All pain hurts. Or, as it’s wisely been put: “The worst thing that’s ever happened to you is the worst thing that’s ever happened to you.” Besides, the region-beta paradox suggests, it might not even be the worst thing that ends up hurting longest.

Source: https://www.theguardian.com/

Antonym: crucial, significant, paramount

Noun: triviality, trivia

Verb: trivialize