The Feynman checkerboard problem is an interesting path integral approach to the Dirac equation in ‘1+1’ dimensions. I compare two approaches reported in the literature and show how they may be reconciled. Some physical insights may be gleaned from this approach.

In recent works, Knuth and Bahreyni have demonstrated that the concepts of space and time are emergent in a coarse-grained model of direct particle-particle influence. In addition, Knuth demonstrated that observer-made inferences regarding the free particle, which is defined as a particle that influences others, but is not itself influenced, result in a situation identical to the Feynman checke...

nowadays immunochemical techniques have played a very important and valuable role in quantitative and qualitative assays of liquid compounds of the body. producing antibody against immunogenes is the first step to make immunochemical kits. in this study production and purification of polyclonal antibody against melatonin has been considered. this hormone which has several important functions in...

We propose two methods for avoiding the checkerboard distortion which is caused by finite word length error. The first method is deriving a bit length of filter taps required for avoiding the checkerboard distortion under a certain word length. In the second method, the checkerboard distortion can be avoided by using the cascade structure which consist of zero-hold kernel and a time-invariant f...

Folding an n× n checkerboard pattern from a square of paper that is white on one side and black on the other has been thought for several years to require a paper square of semiperimeter n. Indeed, within a restricted class of foldings that match all previous origami models of this flavor, one can prove a lower bound of n (though a matching upper bound was not known). We show how to break throu...

Checkerboard pattern can be used in many computer vision areas by matching the pattern as a surface, such as camera calibration, stereo vision, projector-camera system and even surface reconstruction. However, most existing checkerboard pattern recognition methods only work in planar and fine illuminating circumstances. A robust recognition method for checkerboard pattern is proposed in this pa...

Checkerboard patterns have been proposed to explain the real space structure observed in scanning tunneling microscopy experiments on BSCCO and Na-CCOC. However, simple checkerboard patterns have low energy incommsensurate IC spin peaks rotated 45° from the direction of the charge IC peaks, contrary to what is seen in neutron scattering. Here, we study modulated checkerboard patterns which can ...