... These are just the bare bones--just three basic ideas and rules for handling relations ("equations") involving unknown quantities whose values you are trying to find. In most calculations you try to find a number . ... To get a solution, one must replace the given equation (or equations) with others, containing the same information but cleaner in appearance. ... If you have an equation and modify both its sides in exactly the same way, what you get is also a valid equation. ...

... Let p(n) be the number of partitions of n. Here is the table of values of p(n) for small n: n 0 1 2 3 4 5 6 7 8 9 10 p(n) 1 1 2 3 5 7 11 15 22 30 42 (The value p(0) = 1 has the following meaning: there is a unique partition of 0 into positive integers, viz. the partition into an empty set of parts.) ... Prove this formula. ... 1 Theorem 2. ... A plane partition of the number n is a set of positive integers with total sum n, arranged as a Young diagram with nonincreasing rows and columns. ...

... It may be added, subtracted, divided or multiplied in any way appropriate for ordinary numbers. A mathematical relationship involving known numbers (like 25 or 40) and unknown ones (like x ) is known as an equation . ... To get a solution, one must replace the given equation (or equations) with others, containing the same information but cleaner in appearance. ... If you have an equation and modify both its sides in exactly the same way , what you get is also a valid equation. ...

Astronomy Discussion Forums . Forums: . ... How Do You Feel About Numbers? ... Post Message | ... Posted by Richard D. Stafford, Ph.D. on September 15, 2002 16:22:25 UTC . ... Wait - harvey1 - September 15, 2002 - 22:20 UTC . I don't follow you! - doctordick - September 16, 2002 - 14:59 UTC . ... www.astronomy.net . About Astronomy Net | ... Forum posts are Copyright their authors as specified in the heading above the post. "dbHTML," "AstroGuide," "ASTRONOMY.NET" & "VA.NET" . ...

Python Reference Introduction These notes contain commands useful for analysing and plotting data using the Python programming language, together with the Numpy and Matplotlib libraries. ... So for example, the plot command (from matplotlib) would be executed by typing pylab.plot(.. ... Pulling out part of an array. ... To pick out only the chosen elements, and put them in a new array, use something like: new_array = my_array[index_array] Plotting We use Matplotlib (included in pylab) to plot. ...

Next: Navigation Pre-Observation Products . ... SRT (Space Radio Telescope) Schedule (SRS) File . ... What: GOCG generates the Space Radio Telescope (SRT) schedule file, or SRS file, from current GSTS file. The SRS file has more precise time stamps than long-term schedules, and also designates which GTS will be used when. ... The SRS file also serves as the antenna pointing schedule file, as it describes the planned orientation of the spacecraft (and solar panels) as a function of time. ...

... Another significant contribution to the crystal energy of metals is the electron-ion interaction or the electron bandstructure energy (E BS ) which is defined by the interaction of valence electrons and the Brillouin zone (BZ) planes. ... The program BRIZ has been developed for 3D visualization of Brillouin zone configurations and intersections of BZ planes with a Fermi sphere[4]. ... 1.75 (electrons/atom). ... 4] Degtyareva V.F., Smirnova I.S.: BRIZ: a vizualization program for Brillouin zone ? ...

... LOC will arrange transportation of Conference participants from the Kazan airport to the hotels. ... According to the rules, everyone has to go through passport control and customs upon arrival at their first stop in Russia (in the most cases it is Moscow). ... If you have a direct flight to Kazan then passport control will be in Kazan. ... First eROSITA International Conference: Mapping the Structure of the Energetic Universe 17-20 Oct 2011, Garmisch-Partenkirchen (Germany) . ...

... This year SSAU provides 1429 state-funded places for admission in all kinds and directions of educational programs. ... In addition, SSAU Admission Committee notes the substantial increase in interest from the foreign applicants this year. The number of applications from foreign countries has already surpassed last year's totals - 76 applications. Based on the experience of admission campaigns of previous years, SSAU expects summer 2014 to enrol about 150 foreign students in the university. ...

On' failures in the NIRSpec MEMS ST-ECF Instrument Science Report NGST 2002-02 The effects of `on' failures in a MEMS array for the NGST NIRSpec Santiago Arribas, Robert Fosbury Peter Jakobsen --1-- ST-ECF Instrument Science Report NGST 2002-02 The effects of `on' failures in a MEMS array for the NGST ... Assuming that the spectrum of a single facet uses 2000 detector pixels, only 0.01% of `on' failures is acceptable (i.e., 400 facets in a 2k в 2K MEMS array). ...

TENTH CREW REQUIRED RESOURCES SEVENTH RUSSIAN VISITING CREW IMAGE VIDEO . ... EXPEDITION TEN (ISS-10) . ... In the course of ISS-10, 161 sessions of 41 experiments are to be implemented. Thirty eight experiments were started in the previous increments. Three experiments ("SVS", "Bioemulsia", "Rokviss) are new. Allocation of Experiments and Number of Sessions by Research Areas. Research Area . Experiment Name . Totally . ... Total: . ... by Soyuz TMA-5 . ... 15 h 55 min . ...

... Asteroid . ... In case you didn't hear about it, which you probably didn't: On Jan. 7, an asteroid 1,000 feet across -- nearly three times the current diameter of Marlon Brando -- barely missed the Earth, which is most likely your planet of residence. ... What if this asteroid had hit the Earth? ... As it happens, the American Astronomical Society was holding a conference in Washington AT THE VERY SAME TIME as the asteroid nearly hit the Earth. ...

From XEphem running the Soft03Cmt database of 20121002, for the date and time of the observation: RA: 08:16:04.25 Dec: 27:48:13 2012-09-30 UT 09:45 UTC Measured: RA: 08:16:04.4 Dec: 27:48:12.9 Header listing for HDU #1: SIMPLE = T / This is a FITS file BITPIX = -32 / NAXIS = 2 / NAXIS1 = 4341 / NUMBER OF ELEMENTS ALONG THIS AXIS NAXIS2 = 4355 / NUMBER OF ELEMENTS ALONG THIS AXIS EXTEND = T / This file may contain ...

RELATIVE SUNSPOT NUMBERS Description of Data from SGD Explanation of Data Reports: Relative Sunspot Numbers -- The relative sunspot number is an index of the activity of the entire visible disk of the Sun. ... The provisional daily Zurich relative sunspot numbers, Rz, were based upon observations made at Zurich and its two branch stations in Arosa and Locarno and communicated by M. Waldmeier of the Swiss Federal Observatory. ... This indicates the uncertainty above and below the predicted number. ...

... The begining of program -- Target function: a * b with TEXT_IO ; use TEXT_IO ; procedure EXAMPLE is package IO_INT is new INTEGER_IO ( INTEGER ) ; use IO_INT ; r,b,a: INTEGER ; begin put ( Enter unsigned number 'b', please ... unsigned number 'a', please: ) ; get ( a ) ; declare VAR0 , VAR1 : INTEGER ; begin VAR0 := a; VAR1 := b; declare VAR3 , VAR2 , VAR4 : INTEGER ; begin VAR3 := 0 ; VAR2 := VAR0 ; VAR4 := VAR1 ; while VAR2 /= 0 loop begin if ...

... Variation of systematic errors for USNO A2 (in mas per year) 23 .914 0.082 0.250 0.418 0.586 0.753 0.921 1.089 1.257 1.425 1.593 4 4. 3. 3. 3. 3. 3. 3. 3. 3. 3. 15 ± 7± 1± 3± 3± 10 ± 10 ± 11 ± 6± 10 ± 12 ± and their errors USNO UCAC USNO UCAC A2.0 2 3 B1.0 4 (1998) (2006) (2003) (2012) 37 27 11 4 732 529 778 501 050 078 775 387 (34 610 829) (17 209 447) (9 744 401) () Distribution of observations ( ...

Computer Ephemeris for 2014 from DE200/LE200. Apparent places of fundamental stars. ... Due to huge amount of data in this section of Computer Ephemeris, please, download zip file here. ... The first row contains FK5 number, magnitude, spectral class, name of the star. ... The second row contains date when upper culmination of star take place twice. ... Line 'J1997.5' contains seconds of alpha and delta to be added to alpha0 delta0 to form mean place at J1997.5. ...

. N OTE: . Only clusters with R<60 kpc were used to compute the spatial parameters and metallicity gradients for all subsystems except the corona. The numbers in parantheses give the number of clusters for which the corresponding parameter is known. The X O scale length of the old halo is strongly distorted by the observed asymmetry of the distribution of the corresponding clusters projected onto the XY plane ( Fig. 4А ) . discussion in the text | previous table .

Download Izmccd (~2.7 MB). ... for 1-5 bytes is number of a numbered minor planet, . ... Positions 1-80 file "mpcreportiz.txt" are similar to positions of file "mpcreport.txt". 83-95 – errors of unit weight, . ... If this tag is " 1 0 " , this record contains results of measurements of an image of object (approximation by "PSF"),  . ... 57-66 – error in X (pixels), for first star in a multicentric image, for subsequent it is error in (distance between first star in the image and this), . ...