Apology of Human Existence vs “Ideal Homicide”: S.L. Frank’s Anthropological Project

Ideal Classes and Sl 2

and the matrix here is in SL2(R). (This action of SL2(R) on the upper half-plane is essentially one of the models for the isometries of the hyperbolic plane.) The action (1.1) makes sense with C replaced by any field K, and gives a transitive group action of GL2(K) on the set K ∪{∞}. Just as over the complex numbers, the formula (1.2) shows the action of SL2(K) on K ∪ {∞} is transitive. Now tak...

Existence of Ideal Knots

Ideal knots are curves that maximize the scale invariant ratio of thickness to length. Here we present a simple argument to establish the existence of ideal knots for each knot type and each isotopy class and show that they are C ' curves. Mathematics Subject Classification (2000): 57M25, 49Q10, 92C05

Existence of Ideal matrices

An m×n ideal matrix is a periodic m×n binary matrix which satisfies the following two conditions: (1) each column of this matrix contains precisely one 1 and (2) if it is visualized as a dot pattern (with each dot representing a 1), then the number of overlapping dots at all actual shifts are 1 or 0. Let s(n) denote the smallest integer m such that an m × n ideal matrix exists. In this paper, w...

Apology

Applying forensic anthropological data in homicide investigation to the depravity standard.

Forensic anthropology can provide detailed information regarding the perpetrator's treatment of a homicide victim. This data may inform The Depravity Standard (DS), a forensic science inventory used to assess the severity of a homicide's intent, actions, victimology, and attitudes. Skeletal data enabled the reconstruction of a homicide case involving mutilation and possible torture. Using The D...