121210068
On the existence of square roots in certain rings of power series
An apparatus for measuring the pressure in a very small volume, such as a biological cell or a capillary vessel. The apparatus has a space or chamber which is connected with a microcapillary tube, is pressure-tight, and is filled with a nearly incompressible medium, such as silicone oil or the like. To measure the pressure in the space, a device for converting the pressure into electrical values is connected to the space. A body, which partially displaces the medium and is moved from outside the space, extends into the space. The apparatus includes a reference electrode and another electrode which is arranged within the microcapillary tube and extends nearly to the opening of the tube. The two electrodes are electrically connected to a control device which is connected with a drive for moving the body which is provided for partial displacement of the medium. The control device is designed in such a way that by insertion or withdrawal of the body into the space, it regulates the interface (located in the microcapillary tube during the measuring process) between the medium and the fluid which penetrates the capillary tube from the volume of the cell. The regulation by the control device is a function not only of the measured value of the electrical resistance between the two electrodes as input variable, but also of a predetermined rated resistance value.
121338541
Enumeration of Triangulations of the Disk
A method of draining oil from a transmission housing, of an oil-injected screw compressor comprising a compressor housing containing rotor means and a transmission housing. A shaft of the compressor extends into the transmission housing from the compressor housing and the transmission housing is underslung relative to the compression housing. The first portion of the compressor intake stroke, or rotation, is prevented from being filled with intake gas such that a depression is created. Said depression is applied via a bore to a sump portion of the transmission housing, so that the absolute pressure differential between the sump and the suction portion of the rotor means draws oil out of the sump and into the rotor spaces. A compressor employing this method of draining oil is also described.
122388919
Enumeration of quadrangular dissections of the disk
124806549
Sur les ensembles de sommets indépendants dans les graphes chromatiques minimaux
124628297
On the non-existence of a type of regular graphs of girth $5$
116788453
On an open problem of Paul Turán concerning 3-graphs
The third of Paul Turan’s 1961 list of Research Problems [4] reads: 
“If 2 ≦ l < k < n, then what is the minimal number μ of combinations C 1,C 2,..., C μ taken l at a time out of 1, 2,..., n with the property that each combination taken k at a time out of 1, 2,..., n contains at least one C j ? (For l = 2 the question is settled with exhibiting the only minimal C-system in my paper “Egy grafelmeleti szelsőertek-feladatrol”, Mat. es Fiz. Lapok (1941) 436–451, in Hungarian with German abstract.)”
123473446
Hesse's theorem for a quadrilateral whose sides touch a conic