#### Topic: The decision of system of equations with independent variables

Colleagues, very simple question. There are type expressions x1+x5+x19 = 20 x9+x19 = to 40 Me it is necessary numerical methods to find value x1, x19 and so forth That is there is some total of independent variables, I need to find values. And turn listens that before variables there are no coefficients. All would seem simply if to start with the assumption that they are independent. But the situation is quite possible that at presence in the equation simultaneously x1 and x2 they accept other values. Still the question if besides to start with a condition of independence of variables, but that that is probability variables as it is possible to estimate mean value and a standard deviation for each of variables. How these three different types of the equations dare?

#### Re: The decision of system of equations with independent variables

Hello, Gattaka, you wrote: G> There are expressions of type G> x1+x5+x19 = 20 G> x9+x19 = 40 G> To me it is necessary numerical methods to find value x1, x19 and so forth And in what a problem, you select independent variables x9 and x5 and solve the equations with r0 = (x1, x19) at x9=0 x5=0 r1 = (x1, x19) at x9=1 x5=0 r2 = (x1, x19) at x9=0 x5=1 As a result it turns out r=r0+x9 * (r1-r0) +x5 * (r2-r0) G> That is there is some total of independent variables, I need to find values. And turn listens that before variables there are no coefficients. G> all would seem simply if to start with the assumption that they are independent. But the situation is quite possible that at presence in the equation simultaneously x1 and x2 they accept other values. You do not know what variables to assign the independent? G> Still a question if besides to start with the condition of independence of variables, but that that is probability variables as it is possible to estimate mean value and a standard deviation for each of variables. As usual, on their allocation. G> as these three different types of the equations dare? What these three?

#### Re: The decision of system of equations with independent variables

Hello, kov_serg, you wrote: _> Hello, Gattaka, you wrote: G>> There are expressions of type G>> x1+x5+x19 = 20 G>> x9+x19 = 40 G>> To me it is necessary numerical methods to find value x1, x19 and so forth _> And in what a problem, you select independent variables x9 and x5 and solve the equations with _> r0 = (x1, x19) at x9=0 x5=0 _> r1 = (x1, x19) at x9=1 x5=0 _> r2 = (x1, x19) at x9=0 x5=1 _> As a result it turns out r=r0+x9 * (r1-r0) +x5 * (r2-r0) Well here is how it to automate for 500 variables. G>> that is there is some total of independent variables, I need to find values. And turn listens that before variables there are no coefficients. G>> all would seem simply if to start with the assumption that they are independent. But the situation is quite possible that at presence in the equation simultaneously x1 and x2 they accept other values. _> you do not know what variables to assign the independent? No. It is necessary to assume from the data. G>> Still a question if besides to start with the condition of independence of variables, but that that is probability variables as it is possible to estimate mean value and a standard deviation for each of variables. _> as usual, on their allocation. G>> as these three different types of the equations dare? _> what these three? Well at you just three answers.

#### Re: The decision of system of equations with independent variables

Hello, Gattaka, you wrote: G> Hello, kov_serg, you wrote: _>> Hello, Gattaka, you wrote: G>>> There are expressions of type G>>> x1+x5+x19 = 20 G>>> x9+x19 = 40 G>>> To me it is necessary numerical methods to find value x1, x19 and so forth _>> And in what a problem, you select independent variables x9 and x5 and solve the equations with _>> r0 = (x1, x19) at x9=0 x5=0 _>> r1 = (x1, x19) at x9=1 x5=0 _>> r2 = (x1, x19) at x9=0 x5=1 _>> As a result it turns out r=r0+x9 * (r1-r0) +x5 * (r2-r0) G> Well here is how it to automate for 500 variables. For linear equation system is there are different methods of the decision: the link

#### Re: The decision of system of equations with independent variables

Hello, Qulac, you wrote: Q> Hello, Gattaka, you wrote: G>> Hello, kov_serg, you wrote: _>>> Hello, Gattaka, you wrote: G>>>> There are expressions of type G>>>> x1+x5+x19 = 20 G>>>> x9+x19 = 40 G>>>> To me it is necessary numerical methods to find value x1, x19 and so forth _>>> And in what a problem, you select independent variables x9 and x5 and solve the equations with _>>> r0 = (x1, x19) at x9=0 x5=0 _>>> r1 = (x1, x19) at x9=1 x5=0 _>>> r2 = (x1, x19) at x9=0 x5=1 _>>> As a result it turns out r=r0+x9 * (r1-r0) +x5 * (r2-r0) G>> Well here is how it to automate for 500 variables. Q> for linear equation system is there are different methods of the decision: the link It is fine, but here we suppose at me 500 unknown persons and 499 equations.

#### Re: The decision of system of equations with independent variables

Hello, Gattaka, you wrote: G> Hello, kov_serg, you wrote: _>> Hello, Gattaka, you wrote: G>>> There are expressions of type G>>> x1+x5+x19 = 20 G>>> x9+x19 = 40 G>>> To me it is necessary numerical methods to find value x1, x19 and so forth _>> And in what a problem, you select independent variables x9 and x5 and solve the equations with _>> r0 = (x1, x19) at x9=0 x5=0 _>> r1 = (x1, x19) at x9=1 x5=0 _>> r2 = (x1, x19) at x9=0 x5=1 _>> As a result it turns out r=r0+x9 * (r1-r0) +x5 * (r2-r0) G> Well here is how it to automate for 500 variables. G>>> that is there is some total of independent variables, I need to find values. And turn listens that before variables there are no coefficients. G>>> all would seem simply if to start with the assumption that they are independent. But the situation is quite possible that at presence in the equation simultaneously x1 and x2 they accept other values. _>> You do not know what variables to assign the independent? G> is not present. It is necessary to assume from the data. Very simply method of Gausa and those variables that the independent were left in the basket. G>>> still a question if besides to start with the condition of independence of variables, but that that is probability variables as it is possible to estimate mean value and a standard deviation for each of variables. _>> as usual, on their allocation. G>>> as these three different types of the equations dare? _>> what these three? G> well at you just three answers. o_O?

#### Re: The decision of system of equations with independent variables

Hello, kov_serg, you wrote: _> o_O? 1) we Deal with normal Slough 2) we Deal with dependent variables. I.e. some are dependent. 3) we deal with variables which accept not exact value. And probability. I.e. have a median and a standard deviation. It is necessary to estimate them. Here I mean that there can be type equations: x1 + x19 = 10 x1 + x19 = 11

#### Re: The decision of system of equations with independent variables

Hello, Gattaka, you wrote: G> Colleagues, G> very simple question. G> there are expressions of type G> x1+x5+x19 = 20 G> x9+x19 = 40 G> To me it is necessary numerical methods to find value x1, x19 and so forth G> That is there is some total of independent variables, I need to find values. And turn listens that before variables there are no coefficients. G> all would seem simply if to start with the assumption that they are independent. But the situation is quite possible that at presence in the equation simultaneously x1 and x2 they accept other values. G> still a question if besides to start with the condition of independence of variables, but that that is probability variables as it is possible to estimate mean value and a standard deviation for each of variables. G> as these three different types of the equations dare? Well, normal after all ...

#### Re: The decision of system of equations with independent variables

Hello, Gattaka, you wrote: G> Well, normal after all ... Not absolutely, it is finite . I have still a restriction - required variables cannot be less zero. A condition of Karusha - Kuna - Takkera. And what if I still want to set their type of allocation for some variables?