I noticed that there are two different things in mathematics both referred as “generalization”. The first is like replacing real numbers with complex numbers, that is replacing a set in consideration with its superset. The second is like replacing a metric space…
read moreSee this my post in other blog for a religious reason to do scientific research.
read moreI have published What is physical reality? blog post in my other blog. The post is philosophical.
read moreShould mathematicians receive help from God?
read moreI’ve released my math research book and all supplementary materials free with semicolons replaced with commas to denote tuples: $latex (a;b)$ → $latex (a,b)$, in order to comply with usual math notation of other mathematicians.
read moreI’ve added the following to my research book: Definition Galois surjection is the special case of Galois connection such that $latex f^{\ast} \circ f_{\ast} $ is identity. Proposition For Galois surjection $latex \mathfrak{A} \rightarrow \mathfrak{B}$ such that $latex \mathfrak{A}$ is a join-semilattice…
read moreBible, John 3:16: (CJB) “For God so loved the world that he gave his only and unique Son, so that everyone who trusts in him may have eternal life, instead of being utterly destroyed.” (ISV) “For this is how God loved the…
read moreWith help of sci.math crowd it was demonstrated an example that there exist a (finite) poset, which is separable (in the sense defined in this book), but $latex \star x \subseteq \star y$ does not imply $latex x \sqsubseteq y$ (where $latex…
read moreEarlier I have conjectured that the set of funcoids is order-isomorphic to the set of filters on the set of finite joins of funcoidal products of two principal filters. For an equivalent open problem I found a counterexample. Now I propose another…
read moreConjecture: Every time when an unproved result seems obvious, we refer to an unproved conjecture (from which it follows) in our mind
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