The Theory of Measurements |
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Common terms and phrases
abscissa accuracy accurate angle approximate arithmetical arithmetical mean average deviation calculation CALIFORNIA LIBRARY calorimeter cent centimetres Chauvenet's criterion coefficient column constant errors contour lines corresponding cubic centimetre decimal places decimal point density determined dispersion distance divided draw dynes equal equation example EXERCISES experimental Find the relation formula frequency curve given gives gram graph graphic diagram horizontal inches increase interpolation intervals least squares length logarithmic scale logarithms mean median metal method metre millimetre multiply normal equations Notice observations obtained ordinate paper parabola percentage plane Plot the curve position probable error proportional quantity quartile radius ratio readings represent result scale significant figures sine slide rule slope smooth curve specific gravity square root straight line student surface tangent temperature tenths unit UNIVERSITY OF CALIFORNIA variates velocity vernier vertical volume weight whole number x-axis x-values y-axis y=a+bx zero ΙΟ
Popular passages
Page 185 - This is the square root of the quotient of the sum of the squares of the deviations from the average divided by one less than the number of...
Page 45 - FRACTION is a negative number, and is one more than the number of ciphers between the decimal point and the first significant figure.
Page 20 - Or in different words, the specific gravity of a body is the ratio of its mass to the mass of an equal volume of a standard substance.
Page 41 - ... superfluous figures if the larger factor is used as the multiplier, but will give as many as the larger factor contains if that is used as the multiplicand. Of course the best method is to round off the larger factor before multiplying, so that it has no more figures than the smaller one. Standard Form.
Page 4 - ... watch their participation and thus time his delivery. Listeners are frequently asked to repeat pronunciations of words, to answer questions, or to draw pictures; consequently the radio teacher must learn to give adequate opportunity for this participation. It is also wise to repeat essential material, but this should be done in such a way as not to bore the listener. Music Instruction Since Dr. Joseph E. Maddy...
Page 112 - STEAM. /F1J = 475, (92.) Art. 12O3. in which/ is the pressure in pounds per square inch, and V the volume in cubic feet of a pound of steam at the given pressure. •WORK DONE IN THE CYLINDER OF A STEAM ENGINE. Let P = the pressure on the piston in pounds per sq. ft. ; p = pressure on piston in pounds per sq. in. ; V = volume swept through by the- piston; W '=• work in foot-pounds. Then, W=PV=\±±pV.
Page 34 - block of glass or a " Whitworth plane, " and even the smoothest possible surface can be magnified to show that it contains irregularities everywhere. If it were magnified enough, we could see that its shape would not even remain constant, but individual molecules would be found swinging back and forth or escaping from the surface. A geometrical plane certainly corresponds to nothing in reality and, in general, perfect accuracy of number is just as much an imaginary concept.
Page 167 - ... instructors, or else the grades given by all instructors must be stated in terms of the same average and same dispersion. Otherwise, the taking of an average is not allowable, and the grade criterion instantly loses one of its greatest advantages. Finally, grades as measures of ability are subject to both accidental and constant errors. The difference between constant errors and accidental errors must be carefully noted, for it will play a very important part in discussions to follow.8 An accidental...
Page 165 - Probably the mean of our readings would rarely be wrong by more than ^ of a wavelength, when the pattern was well seen. In the experiments specially directed to the determination of the tension of a clean surface, it was found advisable to work with an unknown distance ; otherwise the recollection of previous results interfered with the independence of the estimates.
Page 296 - Find the length of any arc of the catenary « / \ -*\ !"=-(« +« ")> and show that the area between the curve, the axis of x, and the ordinates at two points on the curve, is equal to a times the length of the arc terminated by those points.