Gro Hovhannisyan

5 Questions 66 Answers 0 Followers

Questions related from Gro Hovhannisyan

Is there any geometric meaning of the formula Sin(A)/a=Sin(B)/b+Sin(C)/c?

The law of sines for a triangle says that Sin(A)/a=Sin(B)/b. Is there any geometric meaning of the formula in the question?

07 January 2014 1,752 14 View

Are there unbounded solutions of (1-cos(x pi))/x-(1-cos(y pi))/y+(1-cos((x-y)pi))/(x-y)=0 but with even integers?

The sequence x=2k y=2n where k and n are natural numbers solves this equation. Is there any other unbounded sequence of solutions?

29 December 2013 8,414 6 View

Is there a simple description of cubic equations with complex coefficients that have at least 2 roots with the equal real parts?

For quadratic equations with complex coefficients, 2 roots have the equal real parts if and only if the discriminant is non-positive.

16 August 2013 8,078 0 View

e^(z_1)+e^(z_2)=0 if and only if Re(z_1)=Re(z_2) and Im(z_2-z_1)=pi(2n+1), where z_1, z_2 are complex numbers. Is there a similar statement for the sum of 4 exponents e^(z_1)+e^(z_2)+e^(z_3)+e^(z_4)=0 ?

This question is connected with the oscillations of differential equations. Since every solution of the linear equation with constant coefficients is the linear combination of exponents this...

04 May 2013 7,955 50 View

Mobius transformation maps arcs of circles to arcs of circles. Is there similar geometric property for the quotient of quadratic functions?

The quotient of linear functions with complex variable z (Mobius transformation) maps arcs of circles to arcs of circles. Is there similar geometric meaning for the quotient of quadratic functions...

01 January 1970 4,591 3 View