Is your view
the same as a mathematician or statistician would use?
Not exact matches
As neil degrasse tyson pointed out, each of our great
mathematicians and scientists throughout the centuries reached their limit and declared God did it... only to have the next guy push though that barrier, reach their own limit... and claim the
same... This lady has the benefit of history and science at her finger tips, and judging by her credentials is no stranger to the scientific process, and still fell into the
same trap...
All the better that I felt similarly about another task which I was given (again without asking), in the
same year (1925 - 26) to help A. N. Whitehead grade papers, hence listen to him lecture, and read what he wrote
as a philosopher, rather than just a logician,
mathematician, and physicist.
Aristotelian species are what
mathematicians call «equivalence classes», so that if A is of the
same species
as B, and B is of the
same species
as C, then A must be of the
same species
as C. However, it does not appear possible in biology to define species in a way that always satisfies this condition.
Although
mathematicians generate the set dot by dot, this is not the
same as having a single equation which defines every point.
SEVENTY years ago, the Polish
mathematicians Stefan Banach and Alfred Tarski proved that you can cut a sphere into six pieces and reassemble them to make two spheres, each the
same size
as the original.
Twelve years later, French scientist and
mathematician Pierre Simon de Laplace arrived at the
same conclusion and offered mathematical proof for the existence of what we now know
as black holes.
Ancient Greek
mathematicians and astronomers were using geometry around the
same time, but only to make calculations involving real, 3D space, such
as using circles torepresent the orbits of planets around Earth.
From extraordinarily simple, apparently unassailable assumptions called axioms (such
as «Things that are equal to the
same thing are also equal to one another»), Greek
mathematician Euclid deduced surprising truths that seemed to apply unfailingly to the real world.
It is «also a little ironic or paradoxical» that the new road map has been approved
as a boost to Spain's economy «at the
same time when the situation that is being lived... in the universities and research centers is almost dramatic, and a matter of survival,» says Carlos Andradas Heranz, a
mathematician at the Complutense University of Madrid and president of the Confederation of Spanish Scientific Societies.
Researchers also observed that this network also activates in response to simply seeing numbers or mathematical formulae, among professional
mathematicians as well
as non-
mathematicians (researchers at the
same university level, but with no scientific training) who had participated in this experiment.
Mathematicians classify topological knots
as identical if they have the
same number of loops and crossings, even if their shapes appear drastically different.
James Marsden
as David Sumner: Marsden's Davis is not a
mathematician like Hoffman's, but in the movie world he's the
same thing — he's an adapting screenwriter (his movie is even a «universal tale of the survival and the fighting spirit, AKA Straw Dogs).
«
As explained by
mathematician William L. Paschke, Chaos Theory posits that, «if you do the
same simple thing over and over, beautiful patterns can emerge, and, more importantly, sometimes if you change the starting point by just a tiny little bit, you can get a completely different - looking pattern.»
Just
as a
mathematician presents his proof or a physicist his equations for examination and verification, so should climate scientist code be presented for
same.
On the other hand, formally verified software can be tested with the
same certainty
as mathematicians prove theorems — and the code really does read like a mathematical proof.