Основные математические понятия в английском языке. Прокошева И.И. - 28 стр.

     K is equal to the maximum over j of the sum from i equals one to i equals n of the
     modulus of a sub i j of t, where t lies in the closed interval a, b and where j from
     one to n.
                                      t                                           t
                             lim ∫ { f [sϕ n (s )] + ∆ n (s )} ds = ∫ f [sϕ ⋅ (s )]⋅ ds
                             n →∞
                                     τ                                            τ



     The limit as n tends to infinite of the integral of f of s and ϕn of s plus delta sub n
     of s, with respect to s, from τ to t, is equal to the integral of f of s and ϕ of s, with
     respect to s, from τ to t.

                                              Ψn − rs +1 (t ) = e
                                                                     t λq + s
                                                                                pn−rs +1


     Ψsub n minus r sub s plus one of t is equal to p sub n minus r sub s plus 1 times e
     to the power t times λ sub q plus s.

                            L
                                +
                                n
                                    g = (− 1) (a0 g )
                                              n         (n )
                                                               + (− 1)
                                                                      ( n −1)
                                                                                (a g   n +1
                                                                                              + ... + an g   )
     L sub n adjoint of g is equal to the minus one to the n, times the n-th derivative of
     a sub zero conjugate times g, plus, minus one to the n minus one, times the n
     minus first derivative of a sub one conjugate times g plus and so on to plus a sub n
     conjugate times g.

                                                                                 
                                     dF λ i (t ), t1             dF λ i (t ), t1 
                                                      λ i, (t )+                  =0
                                          dλ                            dt

     The partial derivative of F of lambda sub i of t and t with respect to lambda,
     multiplied by lambda sub i prime of t plus the partial derivative of F with
     arguments lambda sub i of t and t, with respect to t, is equal to zero.

                                                  d2y
                                                       + [1 + b(s )] ⋅ y = 0
                                                  ds 2

     The second derivative of y with respect to s plus y times the quantity 1 plus b of s
     is equal to zero

                                                         ( ); ( z → ∞; arg z = γ )
                                      f ( z ) = ϕ€mk + 0 z
                                                               −1




     f of z is equal to ϕ sub mk hat plus big O of one over the absolute value of z, as
     absolute z becomes infinite, with the argument of z equals gamma.


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