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accounts.bigb

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@@ -165,6 +165,7 @@ Other accounts:
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* https://www.tiktok.com/@cirosantilli2
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* https://www.transifex.com/user/profile/cirosantilli
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* https://www.tripadvisor.com/members/cirosantilli
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* https://www.whatdotheyknow.com/user/ciro_santilli/profile
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Profiles without URLs (OMG...):
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* <Discord>: username `cirosantilli`, previously `cirosantilli#8921`

c/Makefile

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@@ -2,19 +2,28 @@
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# Input parameters
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CC = gcc
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CFLGS = -ggdb3 -O0 -pedantic-errors -std=c99 -Wall -Wextra
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CFLGS = -ggdb3 -O$O -pedantic-errors -std=c11 -Wall -Wextra
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IN_EXT = .c
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O = 0
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OUT_DIR = .
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OUT_EXT = .out
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-include Makefile_params
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OUTS = $(addprefix $(OUT_DIR)/, $(addsuffix $(OUT_EXT), $(basename $(wildcard *$(IN_EXT)))))
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.PHONY: all clean mkdir test
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all: mkdir $(OUTS)
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$(OUT_DIR)/%$(OUT_EXT): %$(IN_EXT)
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$(CC) $(CFLGS) -o '$@' '$<'
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$(CC) $(CFLGS) -o '$@' '$<' $(LIBS)
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$(OUT_DIR)%$(OUT_EXT): $(IN_DIR)%$(CXX_EXT) $(ALL_DEPEND)
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$(CXX) $(CXXFLAGS) -o '$@' '$<' $(LIBS)
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$(OUT_DIR)%$(OUT_EXT): $(IN_DIR)%$(FF_EXT) $(ALL_DEPEND)
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$(FF) $(FFLAGS) -o '$@' '$<' $(FFLIBS)
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clean:
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if [ '$(OUT_DIR)' = '.' ]; then \
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exit 1;\
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fi;\
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done;\
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-include Makefile_targets

calculus.bigb

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@@ -518,7 +518,7 @@ Sample software implementations:
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\Image[https://raw.githubusercontent.com/cirosantilli/media/master/home/numpy/fft_plot.svg]
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{title=<DFT> of $2 \sin(t) + \cos(4t)$ with 25 points}
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{disambiguate=Discrete Fourier transform}
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{description=This is a simple example of a <discrete Fourier transform>. It also illustrates how the <discrete Fourier transform of a real signal> is symmetric around the center point.}
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{description=This is a simple example of a <discrete Fourier transform> for a real input signal. It illustrates how the <DFT> takes N <complex numbers> as input, and produces N <complex numbers> as output. It also illustrates how the <discrete Fourier transform of a real signal> is symmetric around the center point.}
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{height=600}
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= Discrete Fourier transform of a real signal

cia-2010-covert-communication-websites.bigb

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@@ -4748,6 +4748,7 @@ Many hits appear to happen on the same days, and per-day data does exist: https:
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= viewdns.info
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{parent=Data sources}
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{tag=Data as a service}
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Accounts used so far: 6 (1500 reverse IP checks).
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ciro-santilli.bigb

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@@ -66,6 +66,11 @@ Ciro once saw some cartoon on <Wikipedia> help pages of a turtle with a book in
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Another analogous version of this fantasy more in touch with Ciro's <sinophily> is the ideal of the <Chinese scholar>, notably including their stereotypical attributes such as mastery of the <Four Arts>.
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}
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\Image[https://raw.githubusercontent.com/cirosantilli/media/master/Ciro_Santilli_as_a_child_buliding_with_boxes.jpg]
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{height=700}
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{title=<Ciro Santilli> piling boxes as a child}
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{description=A natural born <engineer>.}
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\Include[sponsor]
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\Include[the-most-important-projects-done-by-ciro-santilli]
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\Include[todo]

computer-science.bigb

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@@ -110,6 +110,13 @@ Coolest ones besides the obvious boring <halting problem>:
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* <mortal matrix problem>
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* <Diophantine equation> existence of solutions: <undecidable Diophantine equation problems>
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= Undecidability requires infinitely many inputs
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{parent=Undecidable problem}
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If there are infinitely many inputs, we can always construct a (potentially exponentially huge) <Turing machine> that hardcodes the outcome for every possible input, so the problem is never <undecidable>.
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The problem is of course deciding and proving the outcome for each possible input, notably as it is possible that calculation for some of the inputs may be <independent (mathematical logic)> from <ZFC>.
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= Mortal matrix problem
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{parent=Undecidable problem}
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@@ -301,9 +308,6 @@ The Busy Beaver problem is cool because it puts the <halting problem> in a more
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Bibliography:
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* https://www.scottaaronson.com/blog/?p=4916
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* https://www.quantamagazine.org/the-busy-beaver-game-illuminates-the-fundamental-limits-of-math-20201210
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* https://cs.stackexchange.com/questions/59344/what-are-very-short-programs-with-unknown-halting-status
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* https://cs.stackexchange.com/questions/44869/what-are-the-simplest-examples-of-programs-that-we-do-not-know-whether-they-term imprecise duplicate
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* https://cstheory.stackexchange.com/questions/20978/what-is-the-smallest-turing-machine-where-it-is-unknown-if-it-halts-or-not
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= Step busy beaver
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{parent=Busy beaver}
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* it is largely <recreational mathematics>, i.e. done by non-professionals, a bit like the <aperiodic tiling>. Humbly, they tend to call their results <lemma (mathematics)>[lemmas]
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* complex structure emerges from simple rules, leading to a complex <classification (mathematics)> with a few edge cases, much like the <classification of finite simple groups>
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Bibliography:
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* https://cs.stackexchange.com/questions/59344/what-are-very-short-programs-with-unknown-halting-status
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* https://cs.stackexchange.com/questions/44869/what-are-the-simplest-examples-of-programs-that-we-do-not-know-whether-they-term imprecise duplicate
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* https://cstheory.stackexchange.com/questions/20978/what-is-the-smallest-turing-machine-where-it-is-unknown-if-it-halts-or-not
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= Turing machine acceleration
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{c}
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{parent=Specific values of the Busy beaver function}
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* https://www.reddit.com/r/math/comments/1dubva0/finding_the_6th_busy_beaver_number_%CF%836_aka_bb6_is/ "Finding the 6th busy beaver number (Σ(6), AKA BB(6)) is at least as hard as a hard Collatz-like math problem called Antihydra":
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* https://www.reddit.com/r/compsci/comments/1duc62e/finding_the_6th_busy_beaver_number_%CF%836_aka_bb6_is/
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= Antihydra
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{parent=BB(6) is hard}
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{title2=28 Jun 2024}
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https://wiki.bbchallenge.org/wiki/Antihydra
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= Antihydra GMP implementation
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{parent=Antihydra}
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{tag=GNU Multiple Precision Arithmetic Library}
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= gmp/antihydra.c
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{file}
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{parent=Antihydra}
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{tag=GMP example}
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Also posted at:
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* https://wiki.bbchallenge.org/wiki/Antihydra
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* https://cstheory.stackexchange.com/questions/20978/what-is-the-smallest-turing-machine-where-it-is-unknown-if-it-halts-or-not/53326#53326
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* https://cs.stackexchange.com/questions/59344/what-are-very-short-programs-with-unknown-halting-status/162108#162108
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= Busy beaver scale
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{parent=Busy beaver}
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= Complexity
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{synonym}
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= Time complexity
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{parent=Complexity class}
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{wiki}
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= Quasilinear time
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{parent=Time complexity}
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{title2=$O(n \log^k(n))$}
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{wiki}
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= Big O notation family
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{parent=Complexity class}
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