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3月, 2018の投稿を表示しています

Deformations

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This is the last conjecture of Stephen Hawking . You need the singularity to exceed his theory. This is the the holographic no-boundary wave function. (hij, φ) is the wave function, and S is the usual surface terms. Z is the Euclidean AdS/CFT. The black birds move to the infinite on the surface without directions. Moreover, this is like a cylinder. Euclidean AdS/CFT generalized to complex relevant deformations implies an approximate realisation. This is the mass deformed free model partition function, and m^2 is supergravity theories which typically contain scalars of mass . This is the action of the free O(N) model, and O(N) is the partition function of supersymmetry breaking deformations. You plot two one-dimensional slices of the distribution for two different values of ~m^2. ① ~m^2=0 ② ~m^2=0.05i This conjecture strengthens the intuition that holographic cosmology implies a significant reduction of the multiverse to a much more limited set of possible univ...

1+2+3+4+・・・

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This is irrational because this must increase infinitely basically. This is like a black hole . Srinivasa Aiyangar Ramanujan solved it. 2F=1 ∴ F=1/2 ∴ A=1/4 ∴ S=-1/12 This is tricky in infinity because he moves the series. You can also use the Zeta Function . This is A=1-2+3-4+・・=1/4 This is the Abel's summability method. This is F=1-1+1-1+・・・=1/2 ∴ ζ(-1)=1+2+3+4+・・・=-1/12

Whole Genome Shotgun Sequencing

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This is the Hamiltonian path problem, which is closed . V(G)={a,b,c,d,e,f,g,h} This is the graph of each dot. E(G)={ab,bc,cd,de,ef,fg,gh,ha} This is the graph of the Hamiltonian path. Then you see the Whole Genome Shotgun Sequencing. This isn't closed, but there is the Hamiltonian path. S4→S2→S1→S3→S5 You cut the chain of your DNA, and you reorganize it. S1→ACCTG S2→CGACC S3→CTGAG S4→CGTCG S5→AGTAC ∴ S4→CGTCG S2→XXXCGACC S1→XXXXXACCTG S3→XXXXXXXCTGAG S5→XXXXXXXXXXAGTAC You connect the pattern. CGTCGACCTGAGTAC