Conjectures make up a large part of mathematical rules and properties within the study of mathematics. A conjecture can be thought of as intuition. More precisely, it means to make a guess of something without any real proof or evidence, or mathematically speaking, it is a rule that is ac...
AI has acolytes, with a faith-like belief in the technology’s current power and inevitable future improvement.Artificial general intelligenceis in sight, they say;superintelligenceis coming behind it. And it has heretics, who pooh-pooh such claims as mystical mumbo-jumbo. The buzzy popular narra...
According to the “honeycomb conjecture” in mathematics, hexagons are the most efficient shape for tiling the plane. If you want to fully cover a surface using tiles of a uniform shape and size, while keeping the total length of the perimeter to a minimum, hexagons are the ...
In mathematics, the Fibonacci series is formed by the addition operation where the sum of the previous two numbers will be one of the operands in the next operation. This computation will be continued up to a finite number of terms given by the user. The computation will be performed as: ...
Well, lots of problems, actually. (My favorite is theKakeya Conjecture.) But I’m talking about a culture problem, a communication problem: the gap between mathematics aswrittenand mathematics aspracticed. Mathematicalworkis full of loop-de-loops and dead ends. It’s multi-modal, multi-player...
It is common to discretize this conjecture in terms of small scale . Roughly speaking, the conjecture then asserts that if one has a family of tubes of cardinality , and pointing in a -separated set of directions, then the union of these tubes should have volume . Here we shall be a ...
Elementary curriculum is based on a variety of teaching methods. For example, many American schools display a spiral method in order to teach mathematics. With this approach a conceptual topic is introduced and then it is introduced a few additional times with increased difficulty. ...
I also conjecture that dissatisfaction plays a role in change. One of the major implications of this study for mathematics teacher educators is that by being aware of the role that the shift in positioning in the relation to mathematics plays in facilitating change in conceptions and attitudes of...
(ii) There exists a periodic indicator function solution to . In particular, the previously established case of periodic tiling conjecture for level one tilings of , is now extended to higher level. By an old argument of Hao Wang, we now know that the statements mentioned in Theorem 5 are...
In mathematics, a conjecture is a conclusion or a proposition which is suspected to be true due to preliminary supporting evidence, but for which no proof or disproof has yet been found. Some conjectures, such as the Riemann hypothesis (still a conjecture) or Fermat's Last Theorem (a conjec...