Local embeddability of real analytic path geometries

An almost complex structure J on a 4-manifold X may be described in terms of a rank 2 vector bundle E. A splitting of J consists of a pair of line bundles spanning E. A hypersurface M in X satisfying a nondegeneracy condition inherits a CR-structure from J and a path geometry from the splitting. Using the Cartan-K\"ahler theorem we show that locally every real analytic path geometry is induced by an embedding into C^2 equipped with the splitting generated by the real and imaginary part of the standard holomorphic volume form. As a corollary we obtain the well-known fact that every 3-dimensional nondegenerate real analytic CR-structure is locally induced by an embedding into C^2.Comment: 8 pages. Version 2 corrects some typo

Food of Bluegill and Longear Sunfish in DeGray Reservoir, Arkansas, 1976

Stomach contents were examined from 544 bluegill (Lepomis macrochirus) and 709 longear sunfish (L. megalotis) collected from nearshore areas of DeGray Reservoir April-November 1976. Major foods of bluegill (percentage of total weight of food in parentheses) were insects (33), bryozoa (7.3), planktonic crustaceans (6.5), and plant materials (15.4). The major food items contributing to the diet of longear sunfish were insects (52.6%), crayfish (12.5%), fish (7.4%), and plant material (6.7%). Although bluegill and longear sunfish are closely related species, their diets were not as similar as expected: bluegill consumed zooplankton, adult dipterans, and adult ephemeropterans associated with limnetic areas; while longear sunfish consumed terrestrial insects, immature stages of aquatic insects, and macro-invertebrates associated with littoral areas

Towards effective child-centred mathematics education with lessons designed round the use of a film

Bibliography: pages 101-102.The crucial issues associated with child-centred learning in mathematics are seen to be addressed by the lessons and activities developed round the film. The lessons have captured the essentials of the humanistic mathematics method. Children become actively involved in discussion amongst themselves to the extent that they (a) think about mathematics; (b) contribute confidently; (c) make conjectures; (d) listen critically to one another; (e) feel suitably challenged to work together to prove their hypotheses for themselves, and, should they succeed, (f) are prepared to stand up and demonstrate the truth of them to the class. The lessons, or similar ones, used in their classrooms should afford teachers who apply them an introduction to this child-centred approach to mathematics teaching and learning

Disapperance of atrazine, DCPA, diphenamid, diuron, linuron, norea, prometryne and trifluralin from the soil

An ideal preemergence herbicide is one that will effect adequate weed control in a crop for a suitable period of time and then disappear from the soil so that it will not cause injury to susceptible crops following in the rotation. Several herbicides being used today give full season weed control, but persist beyond the growing season, causing injury to succeeding crops. Due to the rapid acceptance and widespread use of preemergence herbicides in the past few years, it is important to understand as much as possible about their activity, persistence in the soil and effect on later crops, especially after repeated applications. In the spring of 1964, a 3-year study was started at two locations in Tennessee to investigate the disappearance from the soil of eight herbicides used for selective weed control. The primary objective was to determine whether such applications of herbicides would accumulate to concentrations injurious to crops being grown and to other crops that would follow in a rotation

Thomas E. Bryant to Senator James O. Eastland, 15 April 1977

Typed letter signed dated 15 April 1977 from Thomas E. Bryant, Chairman of the President\u27s Commission on Mental Health, to Eastland, re: commission\u27s mission; 2 pages. Attached: White House press release dated 17 February 1977 entitled \u27Executive Order: President\u27s Commission on Mental Health\u27; 2 pages. Attached: First Lady press release dated 29 March 1977, re: Commission on Mental Health; 4 pages.https://egrove.olemiss.edu/joecorr_h/1004/thumbnail.jp

Inhibition of poly (ADP-ribose) polymerase activates ATM which is required for subsequent homologous recombination repair

Poly (ADP-ribose) polymerase (PARP-1), ATM and DNA-dependent protein kinase (DNA-PK) are all involved in responding to DNA damage to activate pathways responsible for cellular survival. Here, we demonstrate that PARP-1(−/−) cells are sensitive to the ATM inhibitor KU55933 and conversely that AT cells are sensitive to the PARP inhibitor 4-amino-1,8-napthalamide. In addition, PARP-1(−/−) cells are shown to be sensitive to the DNA-PK inhibitor NU7026 and DNA-PKcs or Ku80 defective cells shown to be sensitive to PARP inhibitors. We believe PARP inhibition results in an increase in unresolved spontaneous DNA single-strand breaks (SSBs), which collapse replication forks and trigger homologous recombination repair (HRR). We show that ATM is activated following inhibition of PARP. Furthermore, PARP inhibitor-induced HRR is abolished in ATM, but not DNA-PK, inhibited cells. ATM and DNA-PK inhibition together give the same sensitivity to PARP inhibitors as ATM alone, indicating that ATM functions in the same pathways as DNA-PK for survival at collapsed forks, likely in non-homologous end joining (NHEJ). Altogether, we suggest that ATM is activated by PARP inhibitor-induced collapsed replication forks and may function upstream of HRR in the repair of certain types of double-strand breaks (DSBs)

Intake, growth and meat quality of steers given diets based on varying proportions of maize silage and grass silage

Simmental × Holstein-Friesian steers were offered four forage diets. These comprised grass silage (G); proportionately 0·67 grass silage, proportionately 0·33 maize silage (GGM); 0·33 grass silage, 0·67 maize silage ( MMG); maize silage ( M) from 424 (s.d. = 11·5) kg to slaughter at a minimum weight of 560 kg. Forages were mixed and offered ad libitum. Steers were offered 2 kg of a concentrate daily, the concentrate being formulated such that all steers had similar crude protein intakes across dietary treatments. A sample of steers was slaughtered at the beginning of the experimental period to allow the calculation of the rate of gain of the carcass and its components. Carcass dissection of a sample of steers allowed the development of a prediction equation of carcass composition based on thoracic limb dissection of all carcasses. Forage dry matter intake and live-weight gain increased linearly as maize silage replaced grass silage in the forage mixture, resulting in improvements in food conversion ratio (all P = 0·001). Killing-out proportion increased with maize silage inclusion ( P < 0·001) but fat and conformation scores did not differ significantly between diets. However, increasing maize inclusion in the diet resulted in a greater weight ( P = 0·05) and proportion ( P = 0·008) of fat in the carcass, and significant increases in internal fat deposition. The inclusion of maize led to a progressive increase in the daily gains of carcass ( P < 0·001), and significant increases in the daily gains of both fat ( P < 0·001) and lean tissue ( P < 0·001). Fat colour was more yellow in cattle given diets G and GGM than diets MMG and M ( P < 0·001) and colour intensity was lower on diet M than the other three diets ( P < 0·001). There were no significant differences in any aspects of eating quality between diets. Therefore, maize silage has the potential to reduce the time taken for finishing beef animals to achieve slaughter weight with no apparent detrimental effects on subsequent meat quality

Killing spinor equations in dimension 7 and geometry of integrable G_2-manifolds

We compute the scalar curvature of 7-dimensional ${G}_2$-manifolds admitting a connection with totally skew-symmetric torsion. We prove the formula for the general solution of the Killing spinor equation and express the Riemannian scalar curvature of the solution in terms of the dilation function and the NS 3-form field. In dimension n=7 the dilation function involved in the second fermionic string equation has an interpretation as a conformal change of the underlying integrable ${G}_2$-structure into a cocalibrated one of pure type $W_3$.Comment: Latex2e, 9 page