What is even: Definition and 664 Discussions

The break-even point (BEP) in economics, business—and specifically cost accounting—is the point at which total cost and total revenue are equal, i.e. "even". There is no net loss or gain, and one has "broken even", though opportunity costs have been paid and capital has received the risk-adjusted, expected return. In short, all costs that must be paid are paid, and there is neither profit nor loss. The break-even analysis was developed by Karl Bücher and Johann Friedrich Schär.

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  1. S

    Fourier Series of Even Square Wave

    Homework Statement -0.5\leq{t}\leq{1.5}, T=2 The wave is the attached picture. I need to determine the Fourier Series of the wave in the picture. I know that f(t)=a_0+{\sum}_{n=1}^{\infty}a_ncos(n\omega_0t)+{\sum}_{n=1}^{\infty}b_nsin(n\omega_0t) where a_0=\bar{f}=0 due to being an even...
  2. M

    If I suck at Algebra should I even pursue moving forward?

    Howdy, As a kid I loved and excelled at Science. However, I was disastrous in all other subjects so moving forwards in anything other than GE was out of the question. I was lazy, got involved with computers instead, and now have a successful career in IT. I've spent the last six months...
  3. E

    Why can't an electron have a even lower energy level in atom?

    Why can't an electron have a even lower energy level in atom and be closer to the nuclei? (as the next step is to fuse with one of the protons and make neutron.. )
  4. M

    How Fast Can You Move 3.45 Meters on Tile with Different Footwear?

    To meet a U.S. Postal Service requirement, employees' footwear must have a coefficient of static friction of 0.5 or more on a specified tile surface. A typical athletic shoe has a coefficient of 0.750. In an emergency, what is the minimum time interval in which a person starting from rest can...
  5. J

    Doesnt qtm zeno effect contadict the idea that hup is there even when not observed?

    in q zeno effect, measuring, or observing a particle will effect its outcome. however, its been said on this forum that the hup is there whether we observe it or not. contradiction?
  6. K

    Is color an intrisic property of a substance - even in a dark room?

    Is color an intrinsic property of a substance? I thought that if a red object is in an enclosed space, so that no light gets in, will no longer be red - and what makes the object "red" is that electrons absorb all colors of light and then reemit (reflect) the red light. Therefore, if no light...
  7. H

    Proving Evenness: 3a+1 is Even if and only if (a+1)/2 is an Integer

    Homework Statement Let a\inZ. Prove that 3a+1 is even if and only if (a+1)/2 \inZHomework Equations We know that C is an odd number if there exists: C=2k+1 Even: C=2kThe Attempt at a Solution I think I figured it out, but I'm terrible at Discrete Math, so I was hoping for some input. We...
  8. D

    Missed my class and don't know how to even begin.

    Homework Statement a 100kg bicycle and rider initially move at 16 m/s up a 15 degree hill. The rider slams on the brakes and skids to rest. The coefficient of friction is (0.8, 0.7) Homework Equations I have a few but nothing to do with a coefficient of friction. The last ones given to...
  9. S

    Wavefunction for even potential

    In his textbook, Griffiths claims that solutions to the TISE for even potentials for a given energy can always be written as a linear combination of even and odd functions. That I understand. However, I do not see why that fact justifies only looking for even or odd solutions, as he does later...
  10. M

    Even and odd function question

    Homework Statement Show that the only function which is both even and odd is f(x)=0 2. The attempt at a solution Since f(x)=0 is f(x)=0x it is not hard to show that it is odd and even. In order to complete the proof I need to show that this is the only funcion. I know intuitively that if in...
  11. G

    Would you eat in vitro meat even if were proven to be 100% safe?

    http://www.reuters.com/article/2011/11/11/us-science-meat-f-idUSTRE7AA30020111111 It is only a matter of time until this starts popping up in our food supply. My opinion: Absolutely in no way what so ever would I ever eat this or want the government to allow it in our food even...
  12. J

    Fourier Coefficients of an Even Function

    Homework Statement For a given periodic function F(x), the coefficients An of its Fourier expansion can be found using the formulas (Form1) and (Form2). Consider a periodic square pulse and verify that the Fourier coefficients are as claimed: An =(\frac{2}{πn})sin(\frac{πan}{λ}) for n≥1 and...
  13. S

    Instanton configurations of an even anharmonic oscillator

    Cheers everybody, the Hamiltonian of an even anharmonic oscillator is defined as H_N(g) = - \frac{1}{2} ∂_q^2 + \frac{1}{2} q^2 + g q^N (N even). In a paper (PRl 102, 011601) I found that to determine the eigenenergies of this system the Euclidean path integral formalism is used. They...
  14. A

    Finding Energy of an Odd Signal Given Even Part and Total Energy

    Homework Statement X(t) = Xe(t) + Xo(t) where Xe(t) = (1/2){X(t)+X(-t)} is the even part and Xo(t) = (1/2){X(t)-X(-t)} is the odd part of the signal. Let X(t) be an energy signal with energy 5 Joules. Suppose the even part of X(t) is Xe(t) = exp(-|t|). Determine the energy in Xo(t)...
  15. A

    Complex Conjugate: just replace i by -i even in denominator or inside argument?

    to get a Complex Conjugate of a #, is it ok to just replace i by -i even in denominator or inside argument?
  16. T

    Is there anything in the physical world that is actually random even

    Is there anything in the physical world that is actually random even after we were given every single bit of information needed to calculate an outcome? Rolling a die or flipping a coin doesn't count, because if we did all the calculations, we would be able to calculate what the outcome would...
  17. J

    Fourier series equation for a even square wave

    Can someone please help me with a Fourier series equation for a even square wave shown below: F(t) = 0 when -2ms <t < -1ms k when -1ms <t < 1ms 0 when 1ms <t < 2ms T=4 Im after finding the first 10 harmonic components. To be honest struggling with...
  18. H

    Even Wave Function in 1D Symmetric Potentials: Can We?

    I like to know in one dimensional symmetric potentials, can we have any even wave functions which be zero in the origin?
  19. H

    Why the even Eigen states have less energy than odd ones?

    In the symmetrical potentials the Eigenstates are either even or odd. why the even states have less energy than odd states?
  20. G

    Do we not even exist in some FoR?

    What I mean is are there things traveling so fast in outer space that we don't exist in their FoR? Or we haven't even been born yet in their FoR?
  21. N

    Prove that the derivative of an odd function is even

    Homework Statement A function f is an even function is f(-x)=f(x) for all x and is an odd function is f(-x)=-f(x) for all x. Prove that the derivative of an odd function is even and the derivative of an even function is off. I get what even and odd functions are but I'm not sure how to...
  22. H

    I just dont get this proof of convergence of even and uneven sequence coeffi. ?

    Homework Statement Show that if Lim(n-->inf.)(a_(2n)-->L) and Lim(n-->inf.)(a_(2n+1)-->L) then Lim(n-->inf.)(a_n-->L). The Attempt at a Solution I just don't get this; I can see the big picture though. If the odd coeffictions of a sequences goes towards one the same number as the even...
  23. K

    Programs Should I even do a math degree?

    Here's my situation. In the math program now. Finding it's ok.. Not the best. Just ok.. I'm wondering if i should just join the army instead. Alot of my time, i think about getting laid or how to get into a girl's pants. I'd rather be doing jiu jitsu, mma and salsa than math sometimes. If i...
  24. Z

    Understanding Even Functions and the Role of Exponential Functions

    Am I correct in thinking exp(−x^2 ) is an even function? Thanks
  25. Evo

    What are some common mistakes in grammar and brewing?

    I watch a lot of cooking shows and the misuse of the term au jus drves me crazy. In the last 30 minutes 8 people have misused the term 20 times. Au jus means "with juice", you can serve something "au jus" but you cannot serve something "with au jus", you cannot make an "au jus", AAARRRGHH...
  26. N

    Prove that the derivative of an odd function is even

    A function f is an even function is f(-x)=f(x) for all x and is an odd function is f(-x)=-f(x) for all x. Prove that the derivative of an odd function is even and the derivative of an even function is off. I get what even and odd functions are but I'm not sure how to rigorously prove this. Thanks.
  27. 1

    Why light is remains massless even if travelling w/ the fastest velocity?

    I got confused.. XD "Under Einstein's theory of relativity, an object accelerated close to the speed of light gains a tremendous amount of mass.That is why no amount of energy can suffice to accelerate any object, even an elementary particle, to the speed of light - it becomes infinitely...
  28. M

    MATLAB Matlab - can't even do a simple arithmatic

    This really surprised me. >> format rat >> 1/3-1/2+1/6 ans = -1/36028797018963968 Even school student knows that the answer is 0. Even format short does not give a correct answer. >> format short >> 1/3-1/2+1/6 ans = -2.7756e-017
  29. E

    Creating Even Problems with Restrictions: x!

    I have been given a problem to make a problem for x!. The only restriction is, "But omit odd numbers given x is even" Another is for x! is, "Omit even numbers, x is divisible by 3". Is it even possible? I've thought of several manners, but I don't think I'm correct. Thanks in advance...
  30. O

    How to deal with a teacher who doesn't even teach why things work?

    If I was in a bio class, I wouldn't even complain. But physics? My teacher does not teach why things work, just throw random formulae and show how to 'plug-in' values. I know one must learn a skill to deal with this type of teacher but I have never had this kind before. How did you cope with...
  31. B

    What does this statement even mean?

    Hi, I'm not sure this should go in homework of here as this was a test question, but the question itself isn't a test question. I got this question marked wrong, for the record. Question For each statement below, determine if the statement is true or false. If true, provide a proof...
  32. gulfcoastfella

    Is a bushing even needed at low loads and low rpm?

    I've got a shaft that rotates at about 1 rpm and handles a radial load of approximately 25 lbs, a thrust load of 17 lbs, and a bending moment of about 150 lb-in. The shaft and joint will be submerged in lakewater. A shaft diameter of 1.5 in would be nice, but in general a larger shaft would be...
  33. S

    Discrete Mathematics: Proof problem for even integer

    Homework Statement For every non-negative integer z, z2 - 3z is an even integer. Prove this statement. So far, I have learned about direct proofs and indirect proofs such as contraposition and contradiction. Homework Equations An integer z is odd when there is an integer a so that z = 2a+1...
  34. F

    Trivial on odd and even. Prove by cases

    Homework Statement For a,b, \in Z, prove that if ab is odd, then a^2 + b^2 is even question 1 ab = 2k + 1 for some k is integer (1) It doesn't seem logical to rearrange some a and b on (1) So I need the following product of two odd numbers is always odd,product of two...
  35. 1

    I really don't understand what I'm even being asked

    Homework Statement Two skaters, one mass 65kg and one mass 40kg, stand on an ice rink holding a pole of length 10m and negligible mass. Starting from ends of the pole, the skaters pull themselves along the pole until they meet. How far does the 40kg skater move? Homework Equations...
  36. G

    Efficient Equation for Counting Even Numbers from 1 to n

    Hi guys, I am noobie in number theory so if something exists better than this equation I did please don't bash me this is my first equation. Today I was thinking of a way to count all even from 1 to n,so this way I thought about is like this. Let me first write the equation,then I will...
  37. D

    2 weeks into 1st year, I feel so lost - questioning if academia is even for me

    So high school was easy. I didn't go to an elite high school like many people at my university, but senior year I took 8 ap credits and got by with minimal work. BC calc was easy. I thought it was interesting though...and I thought I was good at math. but I'm not. I found that out quickly in...
  38. P

    What does this symbol even mean?

    Homework Statement Show for any metric space (S,d) and  e> 0 that N(e, S) <=  D(e, S) <= N(e/2, S) Homework Equations none The Attempt at a Solution Can somebody please tell me what does N(e,S) or D(e,S) even mean so I can at least know what I am asked to prove? I dig...
  39. R

    Define f(x) where it is odd and even at two points

    1. Homework Statement : A function f : R → R is called “even across x∗ ” if f (x∗ − x) = f (x∗ + x) for every x and is called “odd across x∗ ” if f (x∗ − x) = −f (x∗ + x) for every x. Define f (x) for 0 ≤ x ≤ ℓ by setting f (x) = (x^2) . Extend f to all of R (i.e., define f (x) for all real x)...
  40. W

    Square of Odd Integers & Justifying "If P2 Is Even, Then P Is Even

    show that the square of any odd integer is odd, use this fact to justify the statement "if p2 is even , then p is also even
  41. alemsalem

    Complex Analysis: Finding Better Numbers for Math Problems

    Complex analysis gives us theories about functions that u can't get without the complex algebra, could there be an extension to complex numbers that might solve important problems in mathematics.. Thanks to all..
  42. T

    Vector Problem - is this even solvable?

    Homework Statement [PLAIN]http://img703.imageshack.us/img703/8599/physicsks.png Homework Equations I'm considering cross product and dot product rules, yet I don't know where to begin with this one. The Attempt at a Solution I have two pages of scratch paper that is littered with...
  43. T

    Understanding Even & Odd Functions: Questions Answered

    1)-why is x(t)+x(-t) always even??..no matter if x(t) even or odd? 2)-when we talk about unit step function...u(t)..and we add..u(t)+u(-t)..the value of both is 1 at t=0..so does'n't that gets added twice??..and it becomes 2 at t=0... 3)when we have x(-t) and we time shift it say x(-t-3)...
  44. T

    Even and Odd Signals: Exploring Questions

    1)-why is x(t)+x(-t) always even??..no matter if x(t) even or odd? 2)-when we talk about unit step function...u(t)..and we add..u(t)+u(-t)..the value of both is 1 at t=0..so does'n't that gets added twice??..and it becomes 2 at t=0... 3)when we have x(-t) and we time shift it say x(-t-3)...
  45. A

    How do you get yourslef to sleep easily even thought u are awake

    some times I am kept awake till like 1am, oops sry spelling error.
  46. C

    Medical Do you dream constantly? Does dreamless sleep even exist?

    Do you dream constantly? Does "dreamless sleep" even exist? We know that... We can dream in all 5 stages of sleep (not just REM) We move around very often throughout the night (all in nREM since you're paralyzed in REM) Memories are sorted out constantly in all stages of sleep. And if you...
  47. D

    Riemann Zeta function of even numbers

    Given that \zeta (2n)=\frac{{\pi}^{2n}}{m} Then how do you find m with respect to n where n is a natural number. For n=1, m=6 n=2, m=90 n=3, m=945 n=4, m=9450 n=5, m=93555 n=6, m=\frac{638512875}{691} n=7, m=\frac{18243225}{2} n=8, m=\frac{325641566250}{3617} n=9...
  48. F

    Exploding Reactors? Does that even happen?

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  49. J

    Master Troll or Serious? (autistic even?)

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  50. L

    Is a Grand Unifying Theory Possible? Exploring the Evolution of Physical Laws

    Hi, New member, first post. Is a Grand Unifying Theory even possible? If there is evolution on our planet, why would there not be an evolution of the laws of the universe? What we theorize, test and measure may be true of our universe at this time point, but could it not be that at...
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