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happy birthday Donald Knuth and Thank you for #TeX #LaTeX #maths
 
Bild/Foto
happy birthday Donald Knuth and Thank you for #TeX #LaTeX #maths
 
A marvellous article on #pi and where it comes from, why it keeps cropping up, and why so often found together with e. Recommended for #maths heads.

"So here, again, is the exponential function, stemming from its unique property as the fixed point of the operator 𝑑/𝑑𝑥. And here, again, is our friend 𝜋, always accompanying its master of which it is the period (times 2𝑖). And this, finally, is where #𝜋 comes from, and what it is, and there are no circles to be found."
 
A marvellous article on #pi and where it comes from, why it keeps cropping up, and why so often found together with e. Recommended for #maths heads.

"So here, again, is the exponential function, stemming from its unique property as the fixed point of the operator 𝑑/𝑑𝑥. And here, again, is our friend 𝜋, always accompanying its master of which it is the period (times 2𝑖). And this, finally, is where #𝜋 comes from, and what it is, and there are no circles to be found."
 

A list of Free and Opensource Maths textbooks


#maths #mathematics #science #books
 

"Darwin is dead, and we have killed him!"

Mathematical challenges to Darwin’s Theory of Evolution, with #DavidBerlinski, #StephenMeyer, and #DavidGelernter





Based on new #evidence and #knowledge that functioning #proteins are extremely rare, should #Darwin’s theory of evolution be dismissed, dissected, developed or replaced with a theory of intelligent design?

Has #Darwinism really failed? #PeterRobinson discusses it with David #Berlinski, David #Gelernter, and Stephen #Meyer, who have raised #doubts about Darwin’s #theory in their two books and essay, respectively #TheDeniableDarwin, #DarwinsDoubt, and “Giving Up Darwin” (published in the Claremont Review of Books).

#Robinson asks them to convince him that the term “species” has not been defined by the authors to Darwin’s disadvantage. Gelernter replies to this and explains, as he expressed in his essay, that he sees Darwin’s theory as #beautiful (which made it difficult for him to give it up): “Beauty is often a telltale sign of #truth. Beauty is our guide to the intellectual #universe—walking beside us through the uncharted wilderness, pointing us in the right direction, keeping us on track—most of the time.” Gelernter notes that there’s no reason to doubt that Darwin successfully explained the small adjustments by which an #organism #adapts to local circumstances: changes to fur density or wing style or beak shape. Yet there are many reasons to doubt whether Darwin can answer the hard questions and explain the big picture—not the fine-tuning of #existing #species but the #emergence of new ones. Meyer explains Darwinism as a comprehensive #synthesis, which gained #popularity for its #appeal. Meyer also mentions that one cannot disregard that Darwin’s book was based on the facts present in the 19th century.

Robinson then asks the panel whether Darwin’s theory of gradual evolution is contradicted by the explosion of fossil records in the #Cambrian period, when there was a sudden occurrence of many species over the span of approximately seventy million years (Meyer’s noted that the date range for the Cambrian period is actually narrowing). Meyer replies that even #population #genetics, the mathematical branch of Darwinian theory, has not been able to support the explosion of fossil records during the Cambrian period, biologically or geologically.

Robinson than asks about Darwin’s main problem, #molecular #biology, to which Meyer explains, comparing it to digital world, that building a new biological function is similar to building a new #code, which Darwin could not understand in his era. Berlinski does not second this and states that the cell represents very complex machinery, with complexities increasing over time, which is difficult to explain by a theory. Gelernter throws light on this by giving an example of a necklace on which the positioning of different beads can lead to different #permutations and #combinations; it is really tough to choose the best possible combination, more difficult than finding a needle in a haystack. He seconds Meyer’s statement that it was impossible for Darwin to understand that in his era, since the math is…

#science #biology #mathematics #maths #bio #research #evidence #empiricism
 

"Darwin is dead, and we have killed him!"

Mathematical challenges to Darwin’s Theory of Evolution, with #DavidBerlinski, #StephenMeyer, and #DavidGelernter





Based on new #evidence and #knowledge that functioning #proteins are extremely rare, should #Darwin’s theory of evolution be dismissed, dissected, developed or replaced with a theory of intelligent design?

Has #Darwinism really failed? #PeterRobinson discusses it with David #Berlinski, David #Gelernter, and Stephen #Meyer, who have raised #doubts about Darwin’s #theory in their two books and essay, respectively #TheDeniableDarwin, #DarwinsDoubt, and “Giving Up Darwin” (published in the Claremont Review of Books).

#Robinson asks them to convince him that the term “species” has not been defined by the authors to Darwin’s disadvantage. Gelernter replies to this and explains, as he expressed in his essay, that he sees Darwin’s theory as #beautiful (which made it difficult for him to give it up): “Beauty is often a telltale sign of #truth. Beauty is our guide to the intellectual #universe—walking beside us through the uncharted wilderness, pointing us in the right direction, keeping us on track—most of the time.” Gelernter notes that there’s no reason to doubt that Darwin successfully explained the small adjustments by which an #organism #adapts to local circumstances: changes to fur density or wing style or beak shape. Yet there are many reasons to doubt whether Darwin can answer the hard questions and explain the big picture—not the fine-tuning of #existing #species but the #emergence of new ones. Meyer explains Darwinism as a comprehensive #synthesis, which gained #popularity for its #appeal. Meyer also mentions that one cannot disregard that Darwin’s book was based on the facts present in the 19th century.

Robinson then asks the panel whether Darwin’s theory of gradual evolution is contradicted by the explosion of fossil records in the #Cambrian period, when there was a sudden occurrence of many species over the span of approximately seventy million years (Meyer’s noted that the date range for the Cambrian period is actually narrowing). Meyer replies that even #population #genetics, the mathematical branch of Darwinian theory, has not been able to support the explosion of fossil records during the Cambrian period, biologically or geologically.

Robinson than asks about Darwin’s main problem, #molecular #biology, to which Meyer explains, comparing it to digital world, that building a new biological function is similar to building a new #code, which Darwin could not understand in his era. Berlinski does not second this and states that the cell represents very complex machinery, with complexities increasing over time, which is difficult to explain by a theory. Gelernter throws light on this by giving an example of a necklace on which the positioning of different beads can lead to different #permutations and #combinations; it is really tough to choose the best possible combination, more difficult than finding a needle in a haystack. He seconds Meyer’s statement that it was impossible for Darwin to understand that in his era, since the math is…

#science #biology #mathematics #maths #bio #research #evidence #empiricism
 
Apparently there is a eukaryotic phytoplankton called Braa­rudosphaera bigelowii which surrounds itself with twelve regular pentagonal CaCO3 scales (each of which in turn is constructed from five isosceles trapeziums - yes, they really are - look carefully). Each pentagon edge measures about 5μm. I am not a marine biologist so I have no idea why it does this but what a stunning piece of micro architecture it is!
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#plankton #maths #dodecahedron #pentagon #mathematics #geometry #platonic #trapezium #microscopy #electronmicroscope #calcium #algae #cyanobacteria #math
 
Apparently there is a eukaryotic phytoplankton called Braa­rudosphaera bigelowii which surrounds itself with twelve regular pentagonal CaCO3 scales (each of which in turn is constructed from five isosceles trapeziums - yes, they really are - look carefully). Each pentagon edge measures about 5μm. I am not a marine biologist so I have no idea why it does this but what a stunning piece of micro architecture it is!
Bild/Foto
#plankton #maths #dodecahedron #pentagon #mathematics #geometry #platonic #trapezium #microscopy #electronmicroscope #calcium #algae #cyanobacteria #math
 
Apparently there is a eukaryotic phytoplankton called Braa­rudosphaera bigelowii which surrounds itself with twelve regular pentagonal CaCO3 scales (each of which in turn is constructed from five isosceles trapeziums - yes, they really are - look carefully). Each pentagon edge measures about 5μm. I am not a marine biologist so I have no idea why it does this but what a stunning piece of micro architecture it is!
Bild/Foto
#plankton #maths #dodecahedron #pentagon #mathematics #geometry #platonic #trapezium #microscopy #electronmicroscope #calcium #algae #cyanobacteria #math
 
#maths #mathematics #mathsmanuelacasasoli
A number theorist with programming prowess has found a solution to 33 = x³ + y³ + z³, a much-studied equation that went unsolved for 64 years.
 
#maths #mathematics #mathsmanuelacasasoli
A number theorist with programming prowess has found a solution to 33 = x³ + y³ + z³, a much-studied equation that went unsolved for 64 years.
 
#maths #mathematics #mathsmanuelacasasoli
A number theorist with programming prowess has found a solution to 33 = x³ + y³ + z³, a much-studied equation that went unsolved for 64 years.
 
Emma Haruka Iwao smashes pi world record with Google help #math #maths #science #pi
 
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