I present an algorithm for computationally mixing screen colors (RGB colors) subtractively, written for a general audience. The question it addresses is, “Given two colors specified by their RGB triplets, what RGB triplet should be used to represent the color that would arise if the two colors were mixed like paint colors, i.e., mixed subtractively?” The only way I can think of doing this in a ...

Cutting forces prediction is very important for cutting tool’s design and process planning. This paper presents a fuzzy cutting force modelling method using subtractive clustering for learning evaluation. In this method, subtractive clustering, combined with the least-square algorithm, identifies the fuzzy prediction model directly from the information obtained from the sensors. In the micro-mi...

A novel theory of subtractive hybridization including (or based on) the kinetic model of this process was proposed. A computer program modeling the process of subtraction was developed. Basing on the theory, a novel method of subtractive hybridization was proposed allowing routine comparison of genomes and products of genome expression. The method was applied to studies of the genetic mechanism...

in this paper, we nd the relationships between module contractibility of abanach algebra and its ideals. we also prove that module contractibility ofa banach algebra is equivalent to module contractibility of its module uniti-zation. finally, we show that when a maximal group homomorphic image ofan inverse semigroup s with the set of idempotents e is nite, the moduleprojective tensor product ...

let r be a ring, m a right r-module and (s,≤) a strictly ordered monoid. in this paper we will show that if (s,≤) is a strictly ordered monoid satisfying the condition that 0 ≤ s for all s ∈ s, then the module [[ms,≤]] of generalized power series is a uniserial right [[rs,≤]] ]]-module if and only if m is a simple right r-module and s is a chain monoid.

In this chapter, we take a different approach. In Section 2, we analyze the basics of analog subtractive synthesis, using the simple patch of a square-wave oscillator processed by a low-pass filter with a dynamically variable cutoff frequency. In Section 3, we show how a single mathematical function can model both the oscillator and filter together, and describe an efficient formation for this ...

Varieties like groups, rings, or Boolean algebras have the property that, in any of their members, the lattice of congruences is isomorphic to a lattice of more manageable objects: e.g. normal subgroups of groups, two-sided ideals of rings, …lters (or ideals) of Boolean algebras. Abstract algebraic logic can explain these phenomena at a rather satisfactory level of generality: in every member A...

Answering a question by Honsell and Plotkin, we show that there are two equations between λ-terms, the so-called subtractive equations, consistent with λ-calculus but not satisfied in any partially ordered model with bottom element. We also relate the subtractive equations to the open problem of the order-incompleteness of λ-calculus. 1998 ACM Subject Classification F.4.1 Lambda calculus and re...

We study closedness properties of internal relations in finitely complete categories, which leads to developing a unified approach to: Mal’tsev categories, in the sense of A.Carboni, J. Lambek and M.C.Pedicchio, that generalize Mal’tsev varieties of universal algebras; unital categories, in the sense of D.Bourn, that generalize pointed Jónsson-Tarski varieties; and subtractive categories, intro...