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Thread: High tech maths!

  1. #11
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    Brett Nortje's Avatar Senior Member
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    Quadratic functions.

    Quote Originally Posted by http://en.wikipedia.org/wiki/Quadratic_function
    In mathematics, a quadratic function, a quadratic polynomial, a polynomial of degree 2, or simply a quadratic, is a polynomial function in one or more variables in which the highest-degree term is of the second degree. For example, a quadratic function in three variables x, y, and z contains exclusively terms x2, y2, z2, xy, xz, yz, x, y, z, and a constant:with at least one of the coefficients a, b, c, d, e, or f of the second-degree terms being non-zero.


    A univariate (single-variable) quadratic function has the form[1]
    in the single variable x.The graph of a univariate quadratic function is a parabola whose axis of symmetry is parallel to the y-axis, as shown at right.
    If the quadratic function is set equal to zero, then the result is a quadratic equation. The solutions to the univariate equation are called theroots of the univariate function.
    The bivariate case in terms of variables x and y has the form
    with at least one of a, b, c not equal to zero, and an equation setting this function equal to zero gives rise to a conic section (a circle or otherellipse, a parabola, or a hyperbola).
    In general there can be an arbitrarily large number of variables, in which case the resulting surface is called a quadric, but the highest degree term must be of degree 2, such as x2, xy, yz, etc.
    This can be made eaiser by adding everything together, so, it would be, for example; ax2 by2 + cxy + dx... it would be just adding them up into one symbol or entry with numbers in front of and after the symbols, yes?
    !! Thug LIfe !!

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    Brett Nortje's Avatar Senior Member
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    Periodic points of complex quadratic mappings.

    Quote Originally Posted by http://en.wikipedia.org/wiki/Periodic_points_of_complex_quadratic_mappings
    This article describes periodic points of some complex quadratic maps. A map is a formula for computing a value of a variable based on its own previous value or values; a quadraticmap is one that involves the previous value raised to the powers one and two; and a complex map is one in which the variable is a complex number. A periodic point of a map is a value of the variable that occurs repeatedly after intervals of a fixed length.
    This theory is applied in relation with the theories of Fatou and Julia sets.
    So;

    4eab13360ab16448986a6f108fcb462c.png

    Is the equation first equation listed on Wikipedia. if there is a something times [z] = [z] + something else, obviously the added thing is equal to the first 'values' besides the [z], so, we leave [z] out of it, and find that the things before the [z] = the things added to the [z] on the other side of the equals.
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    Brett Nortje's Avatar Senior Member
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    Now, fc equals [z] times [z] + c, so, z + c = fc = [z].

    So, if the fc plus + c = 2z, [z] = [f] and c = 1.
    Last edited by Brett Nortje; 02-10-2015 at 11:53 AM. Reason: adding, correcting.
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    Captain Obvious's Avatar Senior Member
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    The formula for the circumference of a circle (or some $#@! like that) is Pi(r)squared.

    Dude in class next to me rose his hand and said (no $#@! too) - "I disagree, pie are round".
    my junk is ugly

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    Matty
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    Quote Originally Posted by Captain Obvious View Post
    The formula for the circumference of a circle (or some $#@! like that) is Pi(r)squared.

    Dude in class next to me rose his hand and said (no $#@! too) - "I disagree, pie are round".


    He may have raised his hand.

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    Mr. P's Avatar Member
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    Quote Originally Posted by Captain Obvious View Post
    The formula for the circumference of a circle (or some $#@! like that) is Pi(r)squared.

    Dude in class next to me rose his hand and said (no $#@! too) - "I disagree, pie are round".
    That dude must be famous. I have heard that story all my life.

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    PolWatch's Avatar Senior Member
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    the other half of that equation is "cornbread are square"

  8. The Following User Says Thank You to PolWatch For This Useful Post:

    Brett Nortje (03-18-2015)

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    Brett Nortje's Avatar Senior Member
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    Model c maths.

    When i was at school, i learned model c maths. it is how to do maths in your head without paper to work on, and, helps work out multiples greater than twelve much faster. basically, you will just keep the numbers in your head and move them around, dividing and multiplying, adding and subtracting with common denominators.

    So, if you have [145 x 16], you would say that [145 x 10 = 1450], yes? then you would say [145 x 6 =] half of [1450] plus [145], leaving you with [795] + [1450] = [2245], okay?

    This method works for any sum.

    Basically, you times things by tens, and then half them to five, and add or subtract the amounts times by two or three or whatever, and then you have an answer.

    So, if you see 14000 x 5, you add a zero, and then half it, as five is half of ten, okay?

    If you don't feel comfortable with this, it will just hold you back.
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    Elimination.

    A lot of the formulas out there repeat themselves over and over. in fact, the longer the equation, the greater chance it has of repeating itself!

    So, if you see a [equals] = this or that, work with the shorter version. if s equals s on the other side, maybe it would be easy to find what the relationship is with the other letters and s? if you can find the relationship, then you can find the values, or, whatever you can eliminate from the equation, of course.

    Hell, maybe you can even just cross things out and sit with a newer shorter equation?
    !! Thug LIfe !!

  11. #20
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    FInding patterns to make your own formulas!

    In maths there are patterns. the one i found for calculus took a while, but now i understand what it means to make a formula!

    If you were to find a pattern, somewhere where there is repetition like in my previous maths elimination section, then you will notice there are patterns in the problem coming to the answer, okay?

    As a simple example, if you notice that the first equation has a 9 in it, and you see the answer is 3, and in another problem you see it is 6 and 2, then you could say that the problem seems to be answered for this type of equation as if it were multiples of three, yes? verify this with other examples in exam papers to see if you are right, i think five 'perfect scores' would suffice.

    Now, if you find a problem that can be done this way, then there is a lot less studying for you! yo will be able to remember it easily if you just study your own stuff.
    !! Thug LIfe !!

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