Let X be a simplicial complex with ground set V . Define its Alexander dual as the simplicial complex X∗ = {σ ⊆ V | V \ σ / ∈ X}. The combinatorial Alexander duality states that the i-th reduced homology group of X is isomorphic to the (|V | − i − 3)-th reduced cohomology group of X∗ (over a given commutative ring R). We give a selfcontained proof from first principles, accessible to the non-ex...

T he defin itio n o f ia tro gen ic d isease su p p lie d b y O. H . P e rry P e p p e r m akes u se o f th e G reek ia tros (physician) an d genesis, s ig n ify ing o rig in .31 In itia lly re ­ ferring to a d isease in d u c e d by a p h y si­ cian, th e te rm is freq u en tly u se d in re la­ tio n to im ag in ed a ilm en ts .45 E v e n th e m ost co n sc ien tio u s p h ysic ian adm in is­ ...

Here we consider all finite non-abelian 2-generator $p$-groups ($p$ an odd prime) of nilpotency class two and study the probability of having $n^{th}$-roots of them. Also we find integers $n$ for which, these groups are $n$-central.

M?c tiêu: ?ánh giá k?t qu? s?m sau ph?u thu?t Ross-Konno t?i Trung tâm Tim m?ch, B?nh vi?n Nhi ??ng. ??i t??ng-ph??ng pháp nghiên c?u: Trong th?i gian t? tháng 8 n?m 2016 ??n 5 2022, c?u h?i ???c ti?n hành trên t?ng s? 20 b?nh nhân K?t qu?: Tu?i trung v? và cân n?ng c?a các trong nhóm l?n l??t là 1.02 tu?i (0.14 - 6.07 tu?i) 7.75 kg (3.7 26 kg). T? l? nam/n? 15/5. Ch?n ?oán tr??c bao g?m: H?p v...

Tim o th y H ig h le y , P a u l F. R e y n o ld s U n iv e rs ity o f V irg in ia { tjh ig h le y , re y n o ld s } @ v irg in ia .e d u V iv e k a n a n d V e lla n k i IB M , R e s e a rc h Tria n g le P a rk v e lla n k i@ u s .ib m .c o m Ab s tr a c t C o s t-b e n e fit a n a ly s is a tte m p ts to b a la n c e th e b e n e fits o f file p re fe tc h in g a g a in s t th e c o s ts o f ...

Let X be a simplicial complex with ground set V . Define its Alexander dual as the simplicial complex X∗ = {σ ⊆ V | V \ σ / ∈ X}. The combinatorial Alexander duality states that the i-th reduced homology group of X is isomorphic to the (|V | − i − 3)-th reduced cohomology group of X∗ (over a given commutative ring R). We give a selfcontained proof from first principles, accessible to the non-ex...

Abstract The incidence of clinical mastitis (CM) in small and large-scale dairy cow farms can be highly variable affected by age, parity, post-calving status, atmospheric conditions. current study aimed to assess the CM-incidence its association with days, number lactations, season, udder quarters cows small-scale farms. was conducted within one calendar year 177 864 cows. Clinically confirmed ...

background: considering that elisa method presently is the test of choice for diagnosis of fasciolo­sis, the present study was undertaken to evaluate the maximum validity of coated plates at dif­ferent temperatures and different times during one year of evaluation. methods: serum samples of patients infected with fasciolosis (n=10), hydatidosis (n=5), toxocaria­sis (n=5), and negative control s...