/sci/ - Science & Math

>>10579462
yo mama so fat she a black hole

>>10579472
ah, of course

>>10579472
Got 'em good

>>10579462
The form conataining m is a usual portrayal of a function that has all factors into the box and all out of it factors are used for the state of mayhem in the proprietary structure that may be contained within, that is to say it not upside down to be misused as a rational function that may be holding a while for its set as something being removed. Then the function is used to make all empty sets in it be used to arrive at conclusions that include the while, this is a quick philosophy for the notation additive that follows in cont., the server of the effect is not the function nor is it its analysis. We want to contain a useful parameter for the box to maintain its whole to the processor part in every mathematical function as if its faction. The set you described contains a factor of mechanisms that they can inhabit a useful algorithm into the use of mechanisms in a calculi, this isnt calculus yet, to derive a set pf equations that without permutation will allow a series of its effect into the main calculation as something you can hold into compoundds your use of real maths amd not integers for notation The brick on this remark, the box part, is the paren and they idyl the use of it by making it stick out of a whole that is larger for area as perimeter and the issue of it is resided between laws as function of relation into the given thesis for parameter. That then describes a function for method to adjust a method of serial instances that it can bridge away the espouse of natural maths versus pure and we are left with the ordinary compound of an increase equation that settles all junctures into a court of physics as we will need to maintain constant as the law for by it as use of laws to this. That is a use for enterprise as entry and not the integration of serial mathematics to brodge amd mark all sets of it to design parameters as a use of physics and not the understanding of ones to their own as a being physical and not a being in anagram.

>>10579462
>>10579462
>>10579462
The cosine is using a side an a length that may be joined to it by the use of creative mathematics that have halted the ise of laws to create init a physical nature we can subscribe a use of deficits ti. That means you can arrange for pieces of that math to be interior and others to be exterior. Whem that math is ised to hold other maths aeay from it, like a cosine bridging the sides and the sun halting to it, the design is in permutation a mever object for mre information to be reduced into away from real notation into calculus so we can brodge back into it with a design for minimal parts as pieces. The estranged thought here is that the calculation holds a key to it but that can be a serial shape away from the main and this os just exercise for memorization, but this is computation, the sense pf ot then is that it is not centered and that is a bigger than the lsrge in it that after the ise of denomination all actives in it are a bridge nack onto the up of the function, a pattern we may all realize is a former is that the countries exxcuse maths into english as a universal language for its use of laws and that makes it cater to a greater range as a constant until we run a risk of alienating a person for his work in it, as procreation or others as part for it. The notmal there then is the use of creating that expanse in 2n to allow more numbers to exist for that exercise and nothing else. The large here is the use of over 2 that parts are 119, the presupposed nature of dialectic study is the use laws to cotangent a use pf real words for it as use and then the factors for it are a civil manner for the destruction to take place as realistic. That means that we have issues foreign to the equation and law must adjucate that there is a former in the real and that must hold not estranged to all principles. We can arrange a math to hold variables like into half and foreign i mean four n numbers to effect real math.

That then we have a function for it in the line graphs, we want value for hypotenuse not length the order is a sum for extraction and that value cannot contain m unless it already does so you use m to use the math in real, a reals eay of saying a method isnt extraction, but then you have to extract meaning from words as it so we can only assure the method a fraction for it on pause, and that makes it useless to those that without power, like the extraction of the use of math as authority, the sine of one, as the use of direction estranges that we can name the electrical conduits for it as polar or observed, the real in it is a mathematics for formula useof the person that has variable in it for trust an issue that the value is holding a charge, it isnt so it isnt m at least for this use and we can abridge that law to hold into a guessing game for ourselves that this serves into calculus after all and we can estrange the use of maths as away from physics to contenplate a bevvy regal note to this that there is a debit in it that must be extracted to the use of real notes, like a gimmick to produce formula for the use of serial activity, the connoiter is a formula to use the extraction for principal and the cost is in the rummerage for a number that can cost this deal no extraction as up but only as down. That makes math a real in coefficients and that is not the function but that if you need more factors as a single scale on a slide rule that gives you a scale over degrees, the numbers already are and you can pick at them, the single design is a method for using all reals and no integers to defining this so you cannot use m then either unless you wish it to be used as exploration and not practice or exercise. That makes that the use of cosine is the nerve on a tale that the only haul in it for it is the use of methods to through the use of the 10 digits we have, there is a log in bases that will allow a creators touch to unravel that this method is on the verge

>>10579462
of taking extraction a use of variables away from method to apply a real extraction for formula and not a method on variable use so this is not multi variable calculus. The effect is abreault of the method using all extraction to adopt a formula it can when in computation and the process is held up by the use numbers in real formulas as the use this methodbaway from a polar high in a degree far too high for it into originate into this one as used into a real sense of math and as thus just arithmetic. That case profits the processornor the analyzer as the user of math rather than a procreation fact fornitbso that it can subside into general electoves what the use pf abpurenmath would do, is it cosine or is it function in this case and doesnthat hold it rival a megative to it as well? From the negatives we have a power of into things and out of it as away from things and that decline is a limiter on means. Thisbis a specia construct for puter course and that range is on a limit for reals into the non integer means as reals but that isnt a nature for transitive properties unless we have euper mathematics and that is only on course for vernacular that they can arrive at a plus orbminus effect of the ise of numbers as the use of real booking into maths, using a power to break a scale up, as in resided the function but the cosine to use it as away from the mean of thebstandard line in diagram to create a real effect for consumption on the pluses that words create for math. Calling it an m wouldbbe meaning it is physics and it isnt but that would get you a pass in the scoence for electives unless we had a tangent for it in a higher base. That would break a nature out of it to make all reals into a matural order and the sub base would be in script as the regular base. That would monetize this climate and make it a rival to currency in mathematics as the

>>10579462
princinpal in digest but not allow electricity to hold so for an integral we would use all limits to zero yes but not hold the sine as it to a function bc this is a voided graph aeay from the functions of reality and then theblimit is a hold on graph forbpattern that we reduce into a minor of patterns but all majors are exclusive. That makes it a temperment for putcomes that there is arrangement into the use of mumbers but unless number theory is a regard for the series in thebmaths there is a tangent away from real equity into the espouse of grant as the caller for action as a grind away from thebreal math, anotherbpart of the null hypothesis as realsbhoax, the essence is a general election for period as thebuseful parameter a 1 as variable might hold the use of a real in parameter as into an mcfunction with the use ofncoefficients to log for it all others ms in it as the whiles we break for but that is not cohesive into actual parameter use as that would be multi variable calculus and this is only a breath of the sinure in the graph as away to thebuseful anagram we can hold all clause here to for the use of institute that this graph is not in description of, this is computation. That means that we regard only the large maths for method and the smaller graphs are tangent to all cosine functions and you can arrive at only sums as radical and that means you need a whole breaker of that maths as people like a design to influence a search of it and that means we have insitute for generalizing into words what we can into mathematics. As if this eould break or generate a mode in function a real AI that is in running mode to supply information through a wire instead of generate a signal for analysis as the use of thevmeaningful constants in it to suspect a use of other laths and then generate for it a means as the whole for it tobsubscribe more means of math to it as a way of keeping all variables equal to a line

>>10579462
Your post is a little bit unclear but I think I know what you're getting at.
Your postulate is based on the assumption that multiplication is closed under trig functions, i.e. [math] 2cos(x) = cos(2x)[/math].
Consider: [math]2cos(\frac{\pi}{4}) = \sqrt{2}, cos(2\frac{\pi}{4}) = 0[/math].
You need to use the half angle identities:
[eqn]cos\left(\frac\theta2\right) = \pm \sqrt{\frac{1 + cos \theta}{2}}[/eqn]

>>10579875
>>10579885
>>10579903
>>10579918
>>10579931

>>10579937
yeah sorry about that, it was kinda hard to explain

>>10579875
>>10579885
>>10579903
>>10579918
>>10579931

>>10579940
Are you satisifed with the answer, OP?
Or am I missing your point.

>>10579462
i cant post on this thing

>>10579951
mm, it doesn't really give me an answer I was looking for, but that's probably due to me being unclear. I'll rephrase it in the exact context I found it in, just to be sure. I kinda wanted to avoid asking about this too specifically to maybe get some deeper understanding, but at this point I just really want to know. If my question still doesn't make sense, that's fine, not like I'll stay up at night wondering about the answer.

Anyway, I had this really ugly function: [math]cos(\frac{1}{2}\pi(2n-\frac{119999999}{2})+pi/4)[/math] that was equal to 0 for any integer value of [math]n[/math]. I wanted to pretty it up by removing that awful 119999999 term, so I tried using the method described in the OP to get [math]cos(\frac{1}{4}\pi m+pi/4)[/math]. However, now this function no longer equaled 0 for all integer values of [math]m[/math], and I'm not sure why.

>>10579972
whoops, [math]pi/4[/math] should be [math]\frac{\pi}{4}[/math]. Sorry, I'm really tired

>>10579972
>>10579974
I'm lying comfortably in bed on my phone, so you get no LaTeX privileges anymore.

The condition isn't satisfied for all integers m because (2n+1199999/2) isn't an integer. There is a decimal component.

>>10579972
By distributing the 1/2, you get cos(pi(n -1199999999) + pi/4). Make the substitution of m = n-1199999999. Cos(mpi + pi/4). Answer is +/- sqrt(2)/2.

>>10579972
The domain of (4n+119999999) isn't the set of integers. No integer n exists where (4n+11999999) is even.

>>10580016
Correction: the RANGE. Basically, if you drew out all the solutions to (4n+119999999), they would all be forms of (4n+3). 3,7,11,15,etc. You're trying to make the substitution m for (4n+3), but their range isn't the same. Therefore, you're getting values you normally can't have with an integer n in your function, like 2.

>>10579462
Has anyone really been far even as decided to use even go want to do look more like?

>>10580016
>>10580022
ok, THAT makes perfect sense. Thank you so much. I guess now I wanna know how did you figure out it reduces it to (4n+3)?

>>10580037
again, I apologize if the OP was a complete clusterfuck

>>10581088
>How did you figure out it reduces to 4n+3?
119999999 mod 4.

>>10581114
interesting, why does that work?

>>10581130
Consider the function f = (n+3). The range of f is the set of integers, because all f does is shift n down by a factor of 3.
Consider the function f= (2n). The range of f is the set of even integers. It should be obvious there's no integer n such that f is odd.
Likewise, f = (2n+1)'s range is the set of odd integers.
If we were to instead say (2n+35), the range is still the set of odd integers. Why? Because we can express the equation as (2n+34+1), or 2(n+17) + 1. as previously stated, addition doesn't change the range. so if m is some arbitrary integer, we can substitute m=n+17 and have no ill effects on the range. Then, the corresponding function is 2m+1. So, f=(2m+1) = (2n+35) is equal to the set of odd integers.

This is analogous for your equation.

>>10581201
yep, makes sense. So then (119999999 - 3) is a multiple of 4, letting it reduce to (4n - 3). Thanks mathbros, I knew you'd have the answers I was looking for