What’s a question to your answer? We will not settle this puzzle here, yet we’ll taste it. But let’s begin at the beginning, namely in 1907, when Willem Abraham Wythoff [7], a Dutch mathematician, invented the game we analyze here, explained vividly by Martin Gardner in [5]. The game is played with two piles of tokens, each pile containing an arbitrary number of tokens. A move consists of eithe...

In this paper, a new technique using tensor product is presented in order to provide exact solutions some certain fractional differential equations. Particularly, the well-known third Gardner’s equation, which also known contexts as KdV-mKdV, of type. This type equations plays an important role modeling many symmetric and asymmetric problems. Moreover, existence atomic solution for second has b...

This art icle discusses three theories and approaches in the f ield of counselling that have the potent ial to advance understanding of counselling processes. One, developed within educat ional psychology and f irst published in 1983, is Gardner’s theory of mult iple intelligences (MI) (Gardner, 1983, 2006). Gardner argued against a one-dimensional view of intelligence, in favour of a pluralist...

Gardner syndrome is an autosomal dominant disease characterized by the presence of colonic polyposis, osteomas and soft tissue tumors. We present a case of a man who was admitted for a relapse of adenocarcinoma of the rectum. CT-staging showed multiple locations of desmoid tumors and osteomas, with final diagnosis of Gardner syndrome. The follow-up CT, after surgery and chemotherapy, showed a r...

This commentary challenges a recently published perception that Dr. Le Roy Upson Gardner had not actually discovered in 1942 that inhaled chrysotile fibers could induce malignant neoplasia in mice. The handwritten laboratory notes and some of Dr. Gardner's slides have recently been found. They verify that the tumors he saw in the mice included truly malignant neoplasms. Gardner had by then also...

There is no universally accepted de nition for intelligence among educators and psychologists. One (early) viewpoint regards intelligence as a unitary trait which can be measured by a single IQ test score (such as Binet & Simon, 1905; Terman, 1925). This view has now largely been replaced by the multiple-intelligence conceptions (such as Guilford, 1967; Renzulli, 1986; Gardner, 1983). We have c...

Neuroblastoma, a disease of early childhood, may be present at birth (Wells, 1940; Potter and Parrish, 1942; Bodian, 1959; Gross, Farber and Martin, 1959; King, Storaasli and Bolande, 1961; Dargeon, 1962; Voorhess and Gardner 1962a). Such cases are more likely to undergo remission than those occurring later in life (Bodian, 1959). Since Isaacs, Medalie and Politzer (1959) first noted an increas...

Robby Gardner, one of the organizers of this Summer Research Institute, passed away on May 5, 19981. Robby led an extremely active mathematical life producing more than fifty papers, three books, eighteen masters students and thirteen Ph.D students. He seemed to spend a sizeable fraction of every year traveling to conferences and meetings around the world. I was continually amazed by the number...

In this paper, based on the known first integral method, we try to seek the traveling wave solutions of several nonlinear evolution equations. As a result, some exact travelig wave solutions and solitary solutions for Whitham-Broer-Kaup (WBK) equations, Gardner equation, Boussinesq-Burgers equations, nonlinear schrodinger equation and mKDV equation are established successfully. Key–Words: First...