bimbo36

i have been following maths like some sort of self learning process ... i was able to improve a lot of things myself ... i was able to understand some basic concepts a little bit more ... i was able to narrow it down like this ... then i also remember learning a lot of things about linear and non linear equations ... http://www.mathsisfun.com/algebra/systems-linear-equations.html http://www.ce.utexas.edu/prof/mckinney/ce311k/Overheads/12-LinEqs_Direct.pdf http://www.ce.utexas.edu/prof/mckinney/ce311k/Overheads/13-LinEqs_Indirect.pdf http://www.ce.utexas.edu/prof/mckinney/ce311k/Overheads/14-NonlinearEquations_1_FixedPoint.pdf http://www.ce.utexas.edu/prof/mckinney/ce311k/Overheads/14-NonlinearEquations_2_Bisection.pdf http://www.ce.utexas.edu/prof/mckinney/ce311k/Overheads/14-NonlinearEquations_3_Newton.pdf http://www.sosmath.com/soe/SE211105/SE211105.html let me add this definition too ... so that it looks nice in one thread ... after all these , i was trying to learn differential equations ... i was able to make some notes ... with the help of some pictures ... can i please keep it , it was fun to read ... which category of differential equation does it belong to ?? how do i solve this differential equation ??

ok , no problems ... anyway those pictures sort of helped me a little bit ... from moving away from usually dull looking triangles... to understanding radian measurements ... till , to a point where i could ask questions about graphing trigonometric functions ... and to how the repetitive cycles of some trigonometric functions are achieved ... even though that last part isn't exactly that clear to me ... then i googled something and found this link ... looks interesting ... How to Graph a Sine Function ? http://www.dummies.com/how-to/content/how-to-graph-a-sine-function.html f(x) = sin x It repeats itself every 2-pi radians ... i really need a better understanding of this part ...

first of all , i am sorry for a bit of inappropriate content in it ... i was a bit excited because i could ask few proper questions from it ... i also had to arrange it that way quickly before few points escaped from my mind ... please bear with the noobish attempt , this is an attempt for a deeper understanding .. before i get completely disconnected from the trigonometry ... i would also appreciate it if i could keep this picture here , for some future reference .. even though it looks a bit messy ... i am sorry for arranging pictures this way ... this was the only few pictures i could find ... pictures removed the second part of the questions would be like ... pretend you know how to plot the graph of the trigonometric functions ... then , when does this become a repetitive cycle ??

sorry about the pictures ... i sometimes i just arrange these things in my facebook profile ... so that i can ask better questions ... like a graphical approximate representation of a sinusoidal wave ?? thanks , i am learning a lot of things .. can i just post two more pictures associated with trigonometry ...? it looks interesting when i put together a few pics ... it looks sort of silly , but helps a noob like me when learning trigonometry ... i also have few more doubts from the picture ... i promise i wont post any more pictures associated with trigonometry after that ...

i have few more doubts , and few more pics about the doubts .. i dont really understand the change from the calculations in the quadrants to wave like output representation ??

thanks a lot for the nice explanations ... the problem was that i am missing many sides of my trigonometry basics ... due to the not so simplicity of the trigonometry itself ... at the same time i was trying to see some application side of the trigonometry too .... which was also a bit hard to see without the above picture i posted ... yes i would really like a better understanding of this part where some good practical physics is involved ... at the same time ... this part too ... i have been searching in google to understand some basics of it ... and i have ended up with few basic question such as ... what are some practical applications of sine, cosine , arc sine , etc ?? and how does some trigonometric functions like ? y = sine(x) ?? ... f(x) = sine(x) ??? looks like .... ? that would be like asking ... why the wave of the function sine(x) different from the wave of the function cose(x) ???

thanks for the reply .. i am sort of new to all these things ... this was mostly something i was trying to figure it out as part of improving some mathematics mostly trigonometry ,with the help of some applications to go with it ... to be honest i could not find one proper application side ... to think about trigonometry on a bigger scale ... and i was hoping something like this might help me see a bigger picture of trigonometry .... along with few of its applications ... my question again is .. the trigonometry you know , is it in the way the magnetic fields are input " somehow " to impose the acceleration on the electrons ? or is the trigonometry in the way the wave is output ??

first of all , once again i am sorry for posting this big picture .. please dont consider it as spam ... ??

first of all sorry for the delay ... i was bit busy with work ... i could not get a straightforward two hours in front of pc ... thanks for explaining a lot of basic stuffs ... simply depending on the books for answers like these is a bit boring .... as for the last part ... i think its because ... as the bigger x gets ... the bigger x ^2 gets ... and for x=1/a or .... x =1/2 or , x=1/3 ... or x=1/4 .... the value keeps getting smaller .... this was very helpful ... usually in questions i have seen , they don't mention much about the sort of object .. we are dealing with ? wait .. i guess that's how some physics questions looks like ..? but in some plain maths questions ... things like those are not usually mentioned that way ... its usually simply an x ... maybe in physics type questions .. they are mentioned in a much more broader way .. like .. the point mass object x ...is something like ... a wave or light ? or something like that ???

thanks for the graphs and thanks for taking your valuable time to make a reply ... i think i had some sort of simple physics equations type graphs in my head ... so that it was a bit of fun too to think about it ... mostly equations involving motions of objects at a specific point ... someone also said most of the physics type equations graph are dealt like point mass ...or something like that ... so in the end .. i think its mostly about getting the numbers from the equation and plotting the graph like a point mass ... where the object x is only seen like a point mass ... i haven't come across much graphs that looks like any thing else other than point mass ... maybe i should look for more functions where the functions are capable of plotting regions ... but probably the functions are then going to look a bit more complex .. and i might have a hard time understanding the functions themselves ... its like most of the graphs in physics related problems are a bit advanced for me ... i am only thinking about some simple physics equations involving velocity .. acceleration ... etc ... where we could do something about the points in graph which represents something at a given point ... i don't know how a function of a point mass wave looks like on a graph ...? or what functions are used to represent the more advanced radio waves ... in graph .... ?? i am probably messing up my head too much ... i am not sure if most of the physics type equations are deterministic in nature .... anyway thanks ... this probably looks like i have to be looking into a physics book rather than college level maths books ... maybe i should simply stick with the basics ....

its supposed to be same .. yes ... because the numbers you get from the same equation will always be the same ... but how you draw those numbers is a completely different thing ???

first of all ... thanks for letting me keep the youtube video and picture .. i thought somebody was going to remove it and call it spam ... thanks for not doing that ... i am actually trying to improve my maths from some basics .. which is why my questions looks a bit dumb ... i have few more basic questions to ask ... i am trying to picture an expression or equation with which i can try to do something ... take this one for example ... i dont know what i could possibly do with a motion of an object in a graph ?? i have been trying to narrow it down to some simple things ... i just cant come up with a proper question to ask ... you can try to find its roots .. differentiate it , integrate it ... ??? you can try to see it like a point mass ...polytopes or NURBS ... ?? those are a bit of like new terms to me ... please help with some answers ... as i don't know where i am heading with all these doubts in my mind ...

i have few more dumb questions about some basic stuffs ... is it always possible to plot the graphs of algebraic expressions and equations on the graph ??? i always had these doubts about variables ...how they were going to look like in a graph ?? about expressions , equations ... and how they are represented in the graph ... are they only going to look like simply points on the graph ??? or you can call it a region ? or something like that ??? i have been trying to stare into books at free times... trying to fill the missing parts ... its a bit exhaustive .. sometimes i want to look into the books ... then i get double exhausted after staring into the books for a long time ... is this something nice to follow .. ?? i am also trying to understand the concepts of variables involved in an equation.. and how they are going to look like in a graph .... this is the only example i could come up with ....

thanks a lot .. these replies means a lot to me ... i thought i was never going to learn these things properly ... i have understood a lot of basic stuffs ... thanks to this forum and its members .... now i have something to think about and pursue at free times ... i have lot more to learn ...but now atleast i know where this is all heading ... i was unable to get a bigger picture of this subject for a very long time ... but after these discussions and replies .. i should be able to follow this a bit more deeply ...maybe not today or tommorow ... but someday its going to happen ....

i have few more questions ... i am almost exhausted trying to ask proper questions ... because its almost like i was trying to learn this from scratch ... it was a bit hard to find simple examples too ... anyway the good thing is i am starting to understand this numerical methods types problems... i now sort of understand what others in this forum were trying to tell me about .. exact values and approximate values .. i have few more doubts about some basic concepts ... i think the one below all are the fixed point iteration type questions too... let me again start with .. with this simple example ... i was trying to get a better picture with few images like these ... it was helping me to take an initial guess .... i think i figured it out that the initial guess ,(the initial root )... the answer of the question ... is like f(1.618) ... which makes the equation close to zero ... ?? this positive root is called a golden ratio ... right ?? is this like an answer to the question already ??? should i be looking for more values which makes the equation closer to zero ? is that why we use numerical methods such as fixed point iteration ... ?? anyway then you put the values to fit the formulas of iteration methods ... to get more approximate values which makes the equation closer to zero ???

thanks a lot for the answers .... yea i almost forgot that , the value will be used to fit certain formulas ... and the formulas should be able to give you more points in the graph after applying the appropriate numerical methods ... then it becomes like possible points on that particular space .... ??? to do something ... ??

so this is what its mostly about .. f(1.618) being close to zero .. therefore a root of the equation ... what practical value has this value has ??? i am trying to think if it has any practical application ... that value being there ??? is it like .. at f(1.618 ) .. the ball touches the ground ???

sorry for making it look like never ending dumb questions ... do i keep typing that values in that plotter ??? anyway its giving me graph that looks like a straight forward line at different points? and thats the approximate iterated answers ?? do i call it the possible roots of the equations ??

thanks .. i was wondering how the results of this question ... looks on the graph ???

so i i take this simple program and example here ?? the whole process is going to look like this ???

first of all i am sorry for using few pictures... because i am completly lost without it ... i am also so lost and confused between all these equations ... the terminologies and stuffs .. we use numerical methods depending on the type of equations ... the equations could be linear or non linear ... right ? depending on the type of equation ... we use the numerical methods .. mentioned below .... then we have simulaneous equations ...which looks like these ... these two numerical methods can be applied to it if you have to deal with equations like these ... http://www.ce.utexas.edu/prof/mckinney/ce311k/Overheads/12-LinEqs_Direct.pdf http://www.ce.utexas.edu/prof/mckinney/ce311k/Overheads/13-LinEqs_Indirect.pdf now for non linear equations ... these methods can be applied .... http://www.ce.utexas.edu/prof/mckinney/ce311k/Overheads/14-NonlinearEquations_1_FixedPoint.pdf http://www.ce.utexas.edu/prof/mckinney/ce311k/Overheads/14-NonlinearEquations_2_Bisection.pdf http://www.ce.utexas.edu/prof/mckinney/ce311k/Overheads/14-NonlinearEquations_3_Newton.pdf http://www.maths.dit.ie/~dmackey/lectures/Roots.pdf these all are non linear, fixed point iteration type numerical methods ... is that an alright graph ? so everytime i have to take an initial guess ? i have to plot its graph ... i thought i almost had a grip on this subject ... now i lost it again .... i am so lost ... why am i taking an initial guess for ? what is this initial guess consist of ???

i have this few doubts about taking an initial guess ... i am not sure how to do that when it comes to certain equations for solving them with numerical methods ...i dont know how to do that you are supposed to take an initial guess when it comes to certain equations ... is it about re arranging equations to fit certain formulas ... ??? do i have to take an initial guess of something in the equations when methods like these are involved ... ??? few simple examples .. might look like this ... that is fixed point iteration on a quadratic equation ... they start by re arranging equations to apply the fixed point iteration ... what is the initial guess there ?? and another example here ...

i am stuck with methods after methods for solving non linear equations ... i think i sort of understand how equations are re arranged in fixed point iterations ... are these methods somehow similiar ?? http://www.maths.dit.ie/~dmackey/lectures/Roots.pdf does these methods always involve re arranging equations ... to fit certain formulas ??? i am sorry for making all this look like spam ... i am also sorry for deviating from the original topic ... but these all looks very similar ....

can i have a little bit of help ... with this fixed point iteration method ??? http://www.ce.utexas.edu/prof/mckinney/ce311k/Overheads/14-NonlinearEquations_1_FixedPoint.pdf http://www.universityofcalicut.info/SDE/BSc_maths_numerical_methods.pdf i am sorry if this looks like a mess ... but fixed point iteration is the last method i am going to follow in numerical methods .. some help or directions please before i completly quit this subject ... ???

but our questions in college were mostly oriented toward c program ... it was called computer oriented numerical methods in C ... the application of the methods were more important , rather than the quality of the questions .... you mean those u v t are like x y z ... and therefore those are simultaneous equations... right ? i learned few of those in high school physics class .. but dont remember it well now ... it must have been like 15 years ago ... but after leaving college .. i am still following a subject which i failed badly ... the computer oriented numerical methods in c .... because programming was hard .. mathematics was hard ... the combination of these two subjects were even harder ....