in this paper, we define and study the notion of the real-valued functions on a frame $l$. we show that $f(l) $, consisting of all frame homomorphisms from the power set of $mathbb{r}$ to a frame $ l$, is an $f$-ring, as a generalization of all functions from a set $x$ into $mathbb r$. also, we show that $f(l) $ is isomorphic to a sub-$f$-ring of $mathcal{r}(l)$, the ring of real-valued continu...

Abstract We show that New Keynesian models with frictionless labor supply face a challenge: given standard parameters, they cannot simultaneously match plausible estimates of marginal propensities to consume (MPCs), earn (MPEs), and fiscal multipliers. A HANK model sticky wages provides solution this trilemma.

As developed by Wallace and Dadda, a method for high-speed, parallel multiplication is to generate a matrix of partial products and then reduce the partial products to two numbers whose sum is equal to the final product. The resulting two numbers are then summed using a fast carry-propagate adder. This paper presents Reduced Area multipliers, which employ a modified reduction scheme that result...

The hidden non-linear association between governance indicators & stock market development (SMD) of Pakistan has been scrutinized in this study by using two comparative co-integrating techniques known as ARDL (Auto-regressive Distributed Lag) NARDL (Non-linear ARDL). Empirical evidence suggests that misrepresented inferences arise ignoring non-linearity nexus the variables. results indicate...

In any digital signal processors (DSP’s) the speed of the multipliers plays a very important role. The precision of the multipliers also plays very important role along with its speed. For many high performance systems such as Digital Signal Processors, Microprocessors etc Multipliers are the key components. Since the Floating point multipliers can provide required precision but they are relati...

In this paper we investigate how standard nonlinear programming algorithms can be used to solve constrained optimization problems in a distributed manner. The optimization setup consists of a set of agents interacting through a communication graph that have as common goal the minimization of a function expressed as a sum of (possibly non-convex) differentiable functions. Each function in the su...

It is proved that stability multipliers such as Zames–Falb multipliers, Popov multipliers, and RL/RC multipliers, known to preserve positivity of monotone memoryless nonlinearities, do not, in general, preserve their incremental positivity. Our result implies that stability results based on these multipliers should be interpreted with caution since without incremental positivity the continuity ...

Multipliers are often used to find conditions for the absolute stability of Lur'e systems. They can be used either in conjunction with passivity theory or within the more recent framework of integral quadratic constraints (IQCs). This seminar presents two equivalence results within multiplier theory. In the first part of the seminar, passivity with multipliers and IQC theory are compared. The p...