Functions

4 definitions found

From The Collaborative International Dictionary of English v.0.48 [gcide]:

Fluent \Flu"ent\, noun

1. A current of water; a stream. [Obs.]

2. [Cf. F. fluente.] (Math.) A variable quantity, considered as increasing or diminishing; -- called, in the modern calculus, the {function} or {integral}.

From The Collaborative International Dictionary of English v.0.48 [gcide]:

Function \Func"tion\, noun [L. functio, fr. fungi to perform, execute, akin to Skr. bhuj to enjoy, have the use of: cf. F. fonction. Cf. {Defunct}.]

1. The act of executing or performing any duty, office, or calling; performance. "In the function of his public calling." --Swift.

2. (Physiol.) The appropriate action of any special organ or part of an animal or vegetable organism; as, the function of the heart or the limbs; the function of leaves, sap, roots, etc.; life is the sum of the functions of the various organs and parts of the body.

3. The natural or assigned action of any power or faculty, as of the soul, or of the intellect; the exertion of an energy of some determinate kind.

As the mind opens, and its functions spread. --Pope.

4. The course of action which peculiarly pertains to any public officer in church or state; the activity appropriate to any business or profession.

Tradesmen . . . going about their functions. --Shak.

The malady which made him incapable of performing his regal functions. --Macaulay.

5. (Math.) A quantity so connected with another quantity, that if any alteration be made in the latter there will be a consequent alteration in the former. Each quantity is said to be a function of the other. Thus, the circumference of a circle is a function of the diameter. If x be a symbol to which different numerical values can be assigned, such expressions as x^{2}, 3^{x}, Log. x, and Sin. x, are all functions of x.

6. (Eccl.) A religious ceremony, esp. one particularly impressive and elaborate.

Every solemn 'function' performed with the requirements of the liturgy. --Card. Wiseman. [Webster 1913 Suppl.]

7. A public or social ceremony or gathering; a festivity or entertainment, esp. one somewhat formal.

This function, which is our chief social event. --W. D. Howells. [Webster 1913 Suppl.]

{Algebraic function}, a quantity whose connection with the variable is expressed by an equation that involves only the algebraic operations of addition, subtraction, multiplication, division, raising to a given power, and extracting a given root; -- opposed to transcendental function.

{Arbitrary function}. See under {Arbitrary}.

{Calculus of functions}. See under {Calculus}.

{Carnot's function} (Thermo-dynamics), a relation between the amount of heat given off by a source of heat, and the work which can be done by it. It is approximately equal to the mechanical equivalent of the thermal unit divided by the number expressing the temperature in degrees of the air thermometer, reckoned from its zero of expansion.

{Circular functions}. See {Inverse trigonometrical functions} (below). -- Continuous function, a quantity that has no interruption in the continuity of its real values, as the variable changes between any specified limits.

{Discontinuous function}. See under {Discontinuous}.

{Elliptic functions}, a large and important class of functions, so called because one of the forms expresses the relation of the arc of an ellipse to the straight lines connected therewith.

{Explicit function}, a quantity directly expressed in terms of the independently varying quantity; thus, in the equations y = 6x^{2}, y = 10 -x^{3}, the quantity y is an explicit function of x.

{Implicit function}, a quantity whose relation to the variable is expressed indirectly by an equation; thus, y in the equation x^{2} + y^{2} = 100 is an implicit function of x.

{Inverse trigonometrical functions}, or {Circular functions}, the lengths of arcs relative to the sines, tangents, etc. Thus, AB is the arc whose sine is BD, and (if the length of BD is x) is written sin ^{-1}x, and so of the other lines. See {Trigonometrical function} (below). Other transcendental functions are the exponential functions, the elliptic functions, the gamma functions, the theta functions, etc.

{One-valued function}, a quantity that has one, and only one, value for each value of the variable. -- {Transcendental functions}, a quantity whose connection with the variable cannot be expressed by algebraic operations; thus, y in the equation y = 10^{x} is a transcendental function of x. See {Algebraic function} (above). -- {Trigonometrical function}, a quantity whose relation to the variable is the same as that of a certain straight line drawn in a circle whose radius is unity, to the length of a corresponding are of the circle. Let AB be an arc in a circle, whose radius OA is unity let AC be a quadrant, and let OC, DB, and AF be drawnpependicular to OA, and EB and CG parallel to OA, and let OB be produced to G and F. E Then BD is the sine of the arc AB; OD or EB is the cosine, AF is the tangent, CG is the cotangent, OF is the secant OG is the cosecant, AD is the versed sine, and CE is the coversed sine of the are AB. If the length of AB be represented by x (OA being unity) then the lengths of Functions. these lines (OA being unity) are the trigonometrical functions of x, and are written sin x, cos x, tan x (or tang x), cot x, sec x, cosec x, versin x, coversin x. These quantities are also considered as functions of the angle BOA. Function

From The Collaborative International Dictionary of English v.0.48 [gcide]:

Function \Func"tion\ (f[u^][ng]k"sh[u^]n), Functionate \Func"tion*ate\, verb (used without an object) To execute or perform a function; to transact one's regular or appointed business.

From WordNet (r) 3.0 (2006) [wn]:

function

noun

1: (mathematics) a mathematical relation such that each element of a given set (the domain of the function) is associated with an element of another set (the range of the function) [syn: {function}, {mathematical function}, {single-valued function}, {map}, {mapping}]

2: what something is used for; "the function of an auger is to bore holes"; "ballet is beautiful but what use is it?" [syn: {function}, {purpose}, {role}, {use}]

3: the actions and activities assigned to or required or expected of a person or group; "the function of a teacher"; "the government must do its part"; "play its role" [syn: {function}, {office}, {part}, {role}]

4: a relation such that one thing is dependent on another; "height is a function of age"; "price is a function of supply and demand"

5: a formal or official social gathering or ceremony; "it was a black-tie function"

6: a vaguely specified social event; "the party was quite an affair"; "an occasion arranged to honor the president"; "a seemingly endless round of social functions" [syn: {affair}, {occasion}, {social occasion}, {function}, {social function}]

7: a set sequence of steps, part of larger computer program [syn: {routine}, {subroutine}, {subprogram}, {procedure}, {function}]

verb

1: perform as expected when applied; "The washing machine won't go unless it's plugged in"; "Does this old car still run well?"; "This old radio doesn't work anymore" [syn: {function}, {work}, {operate}, {go}, {run}] [ant: {malfunction}, {misfunction}]

2: serve a purpose, role, or function; "The tree stump serves as a table"; "The female students served as a control group"; "This table would serve very well"; "His freedom served him well"; "The table functions as a desk" [syn: {serve}, {function}]

3: perform duties attached to a particular office or place or function; "His wife officiated as his private secretary" [syn: {officiate}, {function}]

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I can't believe C-SPAN2 is not in HD on Comcast. What year is this? This video is U.S. Senate Majority Leader Mitch McConnell announcing that he was unable to get Section 215 of the Patriot Act extended. There was one more attempt on Sunday, May 31st, but the votes weren't there. Mitch McConnell thinks that the U.S. Government should have unlimited access to the phone records of every citizen. Who they call, when they call, from what location, every day for the whole populace based on a handful of SECRET warrants. I strongly disagree and believe that this is a clear and unambiguous and blatant violation of the Fourth Amendment to the U.S. Constitution.

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Here's the Fourth Amendment from the U.S. Bill of Rights:

The right of the people to be SECURE in their PERSONS, houses, papers, and EFFECTS against unreasonable searches and seizures, shall not be violated, and no Warrants shall issue, but upon PROBABLE CAUSE, supported by Oath or affirmation, and particularly describing the PLACE to be searched, and the PERSONS or things to be seized.

General warrants are ILLEGAL. Giving a single SECRET warrant to a phone company compelling them to turn over all the call records of every subscriber is a general warrant and does not particularly specify a PLACE or PERSON to be searched based on PROBABLE CAUSE.

The SECRET FISA Court has been operating ILLEGALLY since George W. Bush was in office and all through the Barack Obama Administration. Both of these presidents have been SECRETLY doing something that is clearly and blatantly UNCONSTITUTIONAL. Chief Justice John Roberts has recused himself from any attempt to determine the Constitutionality of the warrantless mass surveillance. He did something blatantly unconstitutional with his FISA Court. He ABUSED his power.

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A Brief Explanation of Some Symptoms of My Mental Illness

My dream this morning. (2015-08-04: Approximately Noon Pacific Daylight Time)

I had an interesting dream today (Tuesday) around noon. I was sleeping in bed since 5 p.m. on Monday, the previous day. I went to bed around 1:30 a.m. Monday morning, but unfortunately, I failed to fall asleep. I remained alert in bed trying to fall asleep until 5 p.m. that day, when I finally fell alseep and slept until around 12:15 p.m. today, which is why I guess the dream happened around noon.

This morning I had totally awesome higher power superpower dreams.

It started off at Mizar Place where I was in a really weird altered state and my brother and Dad didn't trust me with anything dangerous. While in my altered state, I tried to explain to them that I knew what danger was. I used the stove as an example. I explained that the burner was hot and the pilot light had to stay lit or otherwise gas would escape and catch fire.

It was nighttime. I was standing in the kitchen. They were in the dining room.

Then there was a super loud arcing noise coming from what sounded like miles away. Just super loud electrical sparking type noise. So Dad and I went to investigate. We drove several blocks and about half a mile through residential neighborhoods until we found a military zone full of security guards, then we found the source of the noise.

There was a huge gigantic antenna about 300 feet tall that had been built behind the backyard of a house in the grass of the elementary school schoolyard. Somehow then we were behind the house in the schoolyard, close enough to see the flashes of light coming from inside the house and that the sparks were being channeled through a ducting system that was connected to an amplifier unit and broadcast in all directions through some kind of ultra, ultra loud and elaborate public address system in the schoolyard, as well as through the radio antenna.

There was a military cop that greeted us. Dad had a black Colt .45 semi-automatic pistol and I had a small silver-colored .22 semi-automatic pistol with a wooden grip. The cop asked us if we had permits for the guns. Dad said he did but that I didn't. The MP asked for my gun. I handed it to him without resistance, but felt really stupid after the fact because I gave it to him barrel first - unfortunately pointed in his general direction. He took it without incident, but I felt embarrassed for not pointing the barrel toward the ground in the process.

Then we tried to figure out what the gigantic antenna was for. Dad guessed that it was classified but he said he thought it had something to do with extending the range of antennas at Vandenberg Air Force Base.

Then we drove to Vandenberg and when we arrived it was suddenly daytime. It was clear that there was something big going on. There were all kinds of advanced aircraft flying around really low to the ground.

Dad and I and my brother and one of his friends were in a van. We saw a helicopter-like aircraft fly really low by us and we could see the pilot through the windows. It was a really beautiful woman with medium length blonde hair. She wasn't wearing a helmet.

Then all of sudden, the beautiful woman was in the van with us. She explained that she was able to sneak up on us without a sound and enter the van without even opening the door. She explained that they had advanced nanotechnology and the ability to move and reassemble atoms very quickly.

Then she took us to a place where there were spaceships from aliens and they said that we were selected as part of a small group of people that would now go with the aliens. She took us inside one of the alien spaceships.

The inside of the spaceship took us to another world that was filled with ancient hieroglyphics and giant aliens.

They explained that they had been looking for a human god to control the spaceship, and I naturally didn't want the job because I had so many flaws and limitations. Then they took me to the alien god who was in charge of the spaceship. He said, "This is for you and your list of limitations."

I was trying to explain to Dad that they had advanced nanotechnology and that they could do anything to us and then return us to perfect health. I tried to explain that there was nothing to fear because we had already been scanned.

Then we were in a giant building that went on forever and it was filled with sleeping mummies that were starting to come back to life in perfect health. I remember saying that I would like to be the walls and floor of that building.

Suddenly all the walls to the whole building turned into solid gold, and all the floors turned into gold colored marble with an interesting continuous grain. It was all beautiful.

Then the aliens started demonstrating that they could kill us and revive us to perfect health, even better than we were before.

Then things started attacking us. There was some kind of dog like creature running towards me. I just stood there waiting to see what would happen, knowing that I would be fine. Then a group of four aliens were coming towards me. Again, I stood my ground and didn't run.

They attacked me and did some damage then quickly called off their attack and walked away peacefully, and I was repaired to full health.

A bunch of stuff happened that is escaping my memory, but the last words of the dream were from the inside of a golden palace and the leader of the aliens said to me, "You're immortal soul is with us, the angels."

Then I woke up.

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