\HHT Linear functions on R h\\B#aaddcc

  \fvs3\bLinear functions on R \  \_\_

  In the case V = R, each number in R is a vector; number 1 is a basis vector e\[1 \ ; coordinate 
  of vector v in this "basis" is a=v. 
  For every linear functional f on V and \_\_

  \vac  f(v) = a f(1) = kx \\_\_

  The value of f on vector v=1 is denoted as k, and coordinate vector v a is denoted is x;
  this may be more familiar in High School course.\_\_

  If to use axis "f" and "x" on a plain for values of funciton f and x correspondingly, graph 
  function f will be simply a line crossing origin of coordinate system.\_\_

  \vac  <img src="symb/exam_r.gif"> \
  

h\