Using covariant derivatives and the operator definitions of quantum mechanics, gauge invariant Proca and Lehnert equations are derived and the Lorenz condition is eliminated in U(1) invariant electrodynamics. It is shown that the structure of the gauge invariant Lehnert equation is the same in an O(3) invariant theory of electrodynamics.

This paper presents an implemented computational model of word acquisition which learns directly from raw multimodal sensory input. Set in an information theoretic framework, the model acquires a lexicon by finding and statistically modeling consistent cross‐modal structure. The model has been implemented in a system using novel speech processing, computer vision, and machine learning algorithms. In evaluations the model successfully performed speech segmentation, word discovery and visual categorization from spontaneous infant‐directed speech paired with video images of single objects. These results (...) demonstrate the possibility of using state‐of‐the‐art techniques from sensory pattern recognition and machine learning to implement cognitive models which can process raw sensor data without the need for human transcription or labeling. (shrink)

An epistemic logic is built up on the basis of an analysis of two skeptical arguments. the method used is to first construct an inference relation appropriate to epistemic contexts and introduce "a knows that..." as an operator giving rise to sentences closed with respect to this new concept of inference. soundness and completeness proofs are provided using auxiliary three-valued valuations.

PART I. -- 1. The Asian, European and the American views on destiny -- 2. Biblical fulfilment of destiny -- 3. Destiny in the Ghanaian context -- 4. Mystical effects of names on destiny -- PART II. -- 5. My childhood days and primary education -- 6. My secondary education -- 7. University education -- 8. Employment after graduation, mariage life and children -- 9. Post-graduate studies at the University of Strathclyde, Glascgow, Scotland and working experience -- 10. Resignation from (...) Cocoa processing company and employment at Tema Food Complex Corportion -- 11. Appointment as the manaing director of cocoa processing company, achievements, awards and honours received -- 12. Mysterious occurrences in my life and my wife's miraculous healing -- 13. Do you believe in fasting, prayers and dreams? -- 14. Conclusion. (shrink)

THE HOLY GAL - and European, medieval legends - a mysterious vessel, for the sake of approaching and engaging in its good deeds, the knights performed their exploits. It was commonly believed that this is the Cup with the blood of Jesus Christ, which Joseph of Arimathea gathered, who removed from the cross the body of the crucified Christ. It was often assumed that this cup originally served Christ and the Apostles at the time of the Last Supper; was the (...) Cup for the communion of the first Liturgy. Gral is a mystery, invisible to the unworthy, but also worthy of being different. Gral has the ability to miraculously fill his elect with unearthly things, which was first discovered during the imprisonment of Joseph Artmofeysky. (shrink)

Study on Īśvarakr̥ṣṇa's Sāṅkhyakārikā, basic work of the Sankhya school in Hindu philosophy, and its commentary Sāṅkhyataruvasanta by Mudumba Narasimhacarya, 1842-1928.