On discontinuity problem with an application to threshold activation function

Inverse Sturm-Liouville problem with discontinuity conditions

This paper deals with the boundary value problem involving the differential equation begin{equation*}     ell y:=-y''+qy=lambda y,  end{equation*}  subject to the standard boundary conditions along with the following discontinuity  conditions at a point $ain (0,pi)$  begin{equation*}     y(a+0)=a_1 y(a-0),quad y'(a+0)=a_1^{-1}y'(a-0)+a_2 y(a-0), end{equation*} where $q(x),  a_1 , a_2$ are  rea...

Identifying the Effective Factors on VAT Revenues to GDP Ratio with an Emphasis on Registration Threshold

Nowadays, Value Added Tax (VAT) plays an important role in the economy of countries. Furthermore, VAT accounts for more than a half of their total tax revenues. The statistical surveys during the past decade indicate that the VAT increased dramatically across the world including Iran. Therefore, the ratio of VAT revenues to GDP is 12%, 4% in developed and developing countries respectively; howe...

inverse sturm-liouville problem with discontinuity conditions

this paper deals with the boundary value problem involving the differential equationbegin{equation*}    ell y:=-y''+qy=lambda y, end{equation*} subject to the standard boundary conditions along with the following discontinuity  conditions at a point $ain (0,pi)$ begin{equation*}    y(a+0)=a_1 y(a-0),quad y'(a+0)=a_1^{-1}y'(a-0)+a_2 y(a-0),end{equation*}where $q(x),  a_1 , a_2$ are  real, $qin l...

Decision criteria in risk analysis : an application of stochastic dominance with respect to a function

GBD Threshold Cryptography with an Application to RSA Key Recovery

We present protocols for threshold cryptography in the GBD public-key cryptosystem. Both threshold decryption and threshold key generation are covered, in the “honest-butcurious” setting. This shows that it is possible to perform GBD computations in a distributed manner during both key generation and decryption, without revealing the private key to any party. GBD threshold decryption is similar...