the most recent definition for "Point" and probable related theories Please.thanks?

Question

in maths and in physics.

Answer 1

In physics especially in mechanics, bodies or any large objects maybe considered as a compressed point mass in the analysis with Free Body Diagram.

The concept on "point" is also utuilized in the analysis of large bodies like celestial objects but considered as point mass in the analysis and application of Newton's Universal Law of Gravitation.

For some situations In thermodynamics, and statistical physics, bodies are also studied from the "point" perspective of a gas molecule.

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Below is a copy-pasted definitions of the word "point"

point [poynt]
n (plural points)
1. opinion, idea, or fact: a particular opinion, idea, or fact put forward in the course of, or forming one of the main elements of, a discussion or argument
She made several valid points in her report.

2. underlying essential idea: the essential idea conveyed or intended in something that is said or written
He seems to have missed the point entirely.

3. purpose: the purpose or usefulness of something
Is there really any point in continuing?

4. item in a list or plan: one of several individual items or details in something such as a plan, a contract, or a list
a four-point plan to revive the coal industry
a point-by-point examination of the contract

5. convincing argument or viewpoint: a cogent or persuasive argument or observation
You have to admit that she has a point there.

6. quality or feature: a distinguishing quality, feature, or item in the makeup of somebody or something
Generosity is one of his strong points.

7. zoology physical feature of a livestock animal: an external feature such as the face or fetlock that is assessed when judging the overall shape of a livestock animal
8. location: a particular place or position
a point six miles east of here

9. moment: a particular moment in time
At that point, the door opened and the teacher walked in.

10. particular stage in a process: a particular moment or stage in a process, especially one at which a significant change or development occurs or a particular condition is reached
We have reached the point at which a decision will have to be made.

11. level or degree: a particular level or degree of a quality
He was confident to the point of almost being arrogant

12. time just before something happens: the moment or period of time just before something happens
at the point of death

13. sharp end of something: the sharp narrowed end of something such as a needle, pencil, or weapon
14. end or tip: the end or tip of something such as a finger or the projecting angle of something such as the elbow or chin
15. small projection: a small sharp or perceptible projection such as that in a piece of writing in Braille
16. object with a sharp end: an object that has a sharp narrowed end or tip, for example, a needle, pin, or sword (archaic)
17. music tip of a bow: the tip of the bow of a stringed instrument. See also heel1n.9
18. zoology antler prong: one of the prongs on a deer’s antlers
19. geography headland: a prominent headland on the coast that juts out into the sea, often the projecting tip of a peninsula (often used in placenames)
20. act of pointing: the act of pointing, for example, with a finger
21. dot: a small dot or source of something such as color or light
22. mathematics decimal point: the dot separating the whole number and fraction in a decimal number. The term “point” is used particularly when such numbers are spoken aloud.
five point nine

23. geometry dimensionless geometric element: a dimensionless geometric element whose location in space is defined solely by its coordinates.
Geometric figures such as circles, planes, or spheres can be treated as if they are sets of points.
24. grammar printing punctuation mark: in printing or writing, a punctuation mark, especially a period
25. phonetics See vowel point
26. sports leisure unit used in scoring: a unit used in scoring a sport, game, or competition, or as a means of making a quantitative evaluation of something
Using a points system, each employee was rated on a scale from one to five.

27. unit on a scale: a single unit on a scale of measurement
The earthquake measured 6 points on the Richter scale.
opened up a 10-point lead over her rivals in the polls

28. stock exchange investment price unit: a unit used to measure change in the value of an investment, for example, on the Stock Exchange
The market is up 5 points.

29. finance percentage of a loan: an amount equivalent to one per cent of the value of a loan, used to calculate the sum the borrower pays up front to the lender as a service charge
30. law motorists’ penalty unit: a penalty unit given for a driving offense recorded on a somebody’s driving record. Receiving a certain number of points leads automatically to a penalty.
31. education student’s unit of credit: a unit of academic credit for a student that is equivalent to one hour of class work per week over a period of one semester
32. education grading unit: a unit, equivalent to a letter grade, that is used to assess a student’s academic performance, with 4 being the highest grade
33. bridge unit of winning potential: a unit used in assessing the strength of a hand in bridge
34. printing measurements printing unit of measurement: a unit of measurement in printing equal to one twelfth of a pica, or approximately 0.03515 cm/0.01384 in
35. measurements diamond weight unit: a unit of weight for a diamond equivalent to one hundredth of a metric carat
36. compass mark on a compass: any of the 32 individual bearings or directions marked on a compass, for example, west, west by north, west-northwest, or northwest
37. compass angle between adjacent bearings: the angle between any two adjacent bearings marked on a compass, measuring 11° 15′
38. military unit ahead of a formation: an individual or unit that moves ahead of a larger formation, acting as a scout and advance guard
39. military advance military position: the position ahead of a larger formation taken by an individual or unit acting as point
40. basketball offensive basketball position: in basketball, the position in front court taken by the guard who directs the offensive
41. heraldry division of a heraldic shield: any of the positions on or divisions of a heraldic shield in which a charge can be placed


npl or points
1. automotive electrical contacts in a distributor: the two electrical contacts that act as circuit breakers in the distributor of an internal-combustion engine as current is passed in turn to the cylinders
2. zoology extremities of a domestic animal: the ears, feet, and tail of a domestic animal


v (past point·ed, past participle point·ed, present participle point·ing, 3rd person present singular points)
1. vi indicate with an extended finger: to extend the finger or a long and thin object in the direction of something in order to draw attention to it
I pointed at one of the shrubs and asked its cost.

2. vt aim at something: to hold an object so that its end is aimed at somebody or something
pointed the hose toward the flowers

3. vi be turned in a particular direction: to be turned toward or aimed in a particular direction
The arrow on the signpost was pointing to the right.

4. vt direct somebody toward: to indicate the direction in which somebody should go
If you can just point me in the right direction I should be able to find it.

5. vti computing aim a mouse or joystick: to move a mouse, joystick, or other device so that the cursor on a computer screen is positioned over or touching something
Point at the icon, then double click on it.

6. vi suggest something is the case: to be strong evidence of something or lead the mind to believe or conclude something
It all points to one conclusion.

7. vi call attention to something: to call attention to a particular fact or situation as being important
8. vt give force to a remark: to give additional force, emphasis, or incisiveness to something said or written
9. vt construction repair with mortar: to repair or finish a wall, chimney, or other structural component by putting mortar or cement between the bricks or stones
10. vt sharpen something: to sharpen something so that it has a point at the end
11. vt stretch the foot downward: to stretch out the foot or toes so that leg and foot make one comparatively straight line, especially in ballet
12. vti sailing sail close to the wind: to sail a boat close to the wind
13. vti hunting point the muzzle at game: to stand still with muzzle and tail outstretched indicating the whereabouts of game (refers to a hunting dog)
14. vt music mark a psalm for chanting: to mark a psalm to indicate how it is to be chanted
15. vt phonetics add marks over letters: to place diacritics or vowel points over the relevant letters in a text
16. vt grammar punctuate: to put punctuation marks into a text
17. vi medicine come to a head: to reach the stage of spontaneous rupture or surgical opening, allowing pus to drain (refers to boils and abscesses)


[13th century. Via French from, ultimately, Latin punctum “prick-mark, dot, particle” (source of English punctual and punctuation), from the past participle of Latin pungere “to prick, pierce” (see pungent).]

a sore point a cause of annoyance
be on the point of doing something to be just about to do something
I was just on the point of leaving.
beside the point irrelevant or unimportant
in point of fact used, often when correcting something said before, to emphasize that what is now being stated represents the truth
make a point of doing something to be careful to do something and, often, to be seen by others to do it
stretch a point to allow something as an exception to the rule to exaggerate
stretch the point to exaggerate
to the point relevant or worth paying attention to
(up) to a point to a certain extent, but not completely

Answer 2

Well, most atheists will accept mathematical proofs as well, as any reasonable person would. That's not quite the same thing as scientific evidence. In mathematics, ideas can be proven; in science, by contrast, any hypotheses must be testable (and therefore subject to disproof, if the evidence indicates that such hypotheses are incorrect). Other than these two methods, I know of no good reason to accept a proposition. If the president, or the pope, or whomever, tells me that the moon is made of snow, for example, I'm still going to want to examine the evidence that supports this claim. Arguments from authority (which includes ancient texts, often called "holy books") are completely non-persuasive to me.

Answer 3

From first answer
'23. geometry dimensionless geometric element: a dimensionless geometric element whose location in space is defined solely by its coordinates.
Geometric figures such as circles, planes, or spheres can be treated as if they are sets of points. '

Applicable to math and physics, the dimensionless description could be annotated with the infinitesimal concept, a point is of a volume measure of one over infinity and as of that immeasurable but signifiable as a location. All locations are offered with reference, though the reference may not be quoted.