Real-Time Character Animation for Computer Games

The importance of real-time character animation in computer games has increased considerably over the past decade. Due to advances in computer hardware and the achievement of great increases in computational speed, the demand for more realism in computer games is continuously growing. This paper will present and discuss various methods of 3D character animation and prospects of their real-time application, ranging from the animation of simple articulated objects to real-time deformable object meshes

Forms of life, forms of reality

The article explores aspects of the notion of forms of life in the Wittgensteinian tradition especially following Iris Murdoch’s lead. On the one hand, the notion signals the hardness and inexhaustible character of reality, as the background needed in order to make sense of our lives in various ways. On the other, the hardness of reality is the object of a moral work of apprehension and deepening to the point at which its distinctive character dissolves into the family of connections we have gained for ourselves. The two movements of thought are connected and necessary

Quantum Nyquist Temperature Fluctuations

We consider the temperature fluctuations of a small object. Classical fluctuations of the temperature have been considered for a long time. Using the Nyquist approach, we show that the temperature of an object fluctuates when in a thermal contact with a reservoir. For large temperatures or large specific heat of the object $C_v$, we recover standard results of classical thermodynamic fluctuations $= \frac{k_B T^2}{C_v}$. Upon decreasing the size of the object, we argue, one necessarily reaches the quantum regime that we call quantum temperature fluctuations. At temperatures below $T^{*}\sim \hbar/k_{B}\tau$, where $\tau$ is the thermal relaxation time of the system, the fluctuations change the character and become quantum. For a nano-scale metallic particle in a good thermal contact with a reservoir, $T^{*}$ can be on a scale of a few Kelvin.Comment: 4 pages, 2 figure

IDA BAGUS KETUT RAI PRASI – NYA DARI NARASI

In visualization, the object used by Ida Bagus ketut Rai is more to left the conventional way, so the characers in it based on the story. The capability on the story and able to expressioning tell the nanaration/story and to understanding the meanings to create new character in the story not as a puppet only, but also as the union unity between puppet and Bali lettersgraft. The conventional way is more to beat the second place and used the symbol meaning as the object. Themes or titles used not only taken from Ramayana stories but olso from religious, philosophy and beauty in it

Combinatorial Hopf algebras and generalized Dehn-Sommerville relations

A combinatorial Hopf algebra is a graded connected Hopf algebra over a field $F$ equipped with a character (multiplicative linear functional) $\zeta:H\to F$. We show that the terminal object in the category of combinatorial Hopf algebras is the algebra $QSym$ of quasi-symmetric functions; this explains the ubiquity of quasi-symmetric functions as generating functions in combinatorics. We illustrate this with several examples. We prove that every character decomposes uniquely as a product of an even character and an odd character. Correspondingly, every combinatorial Hopf algebra $(H,\zeta)$ possesses two canonical Hopf subalgebras on which the character $\zeta$ is even (respectively, odd). The odd subalgebra is defined by certain canonical relations which we call the generalized Dehn-Sommerville relations. We show that, for $H=QSym$, the generalized Dehn-Sommerville relations are the Bayer-Billera relations and the odd subalgebra is the peak Hopf algebra of Stembridge. We prove that $QSym$ is the product (in the categorical sense) of its even and odd Hopf subalgebras. We also calculate the odd subalgebras of various related combinatorial Hopf algebras: the Malvenuto-Reutenauer Hopf algebra of permutations, the Loday-Ronco Hopf algebra of planar binary trees, the Hopf algebras of symmetric functions and of non-commutative symmetric functions.Comment: 34 page