IJS-CONFIG
Section: User Commands (1)Updated: 5 Feb, 2004
Index Return to Main Contents
NAME
ijs-config - script to get information about the installed version of ijsSYNOPSIS
ijs-config [--prefix[=DIR]] [--exec-prefix[=DIR]] [--version] [--libs] [--cflags]DESCRIPTION
ijs-config is a program that is used to determine the compiler and linker flags that should be used to compile and link programs that use IJS.
OPTIONS
This program follows the usual GNU command line syntax, with long options starting with two dashes (`-'). A summary of options is included below.- --help
- Show summary of options. This may list additional advanced package configuration options not detailed in this manual page.
- --version
- Show installed libijs version.
- --libs
- Print the linker flags that are necessary to link an IJS program.
- --cflags
- Print the compiler flags that are necessary to compile an IJS program.
- --prefix=PREFIX
- If specified, use PREFIX instead of the installation prefix that IJS was built with when computing the output for the --cflags and --libs options. This option is also used for the exec prefix if --exec-prefix was not specified. This option must be specified before any --libs or --cflags options.
- --exec-prefix=PREFIX
- If specified, use PREFIX instead of the installation exec prefix that IJS was built with when computing the output for the --cflags and --libs options. This option must be specified before any --libs or --cflags options.
SEE ALSO
gtk-config(1)AUTHOR
This manual page was written by Roger Leigh<EMAIL_ADDRESS>originally for the Debian GNU/Linux system.
Index
This document was created by man2html, using the manual pages.
Time: 05:29:04 GMT, December 24, 2015


VFD and Control Project at RPI
Fixtures
The Project
- Retrofit existing (3) 75HP Motors to High Efficiency Motors that feed domestic water pumps
- Install (3) 75 HP ABB Variable Frequency Drives
- Fabricate and install New Control Panel for operation of VFDs
- Rebate Management through Con Edison Multifamily Program to secure maximum amount through available custom program
New Control Panel to:
- Control Lead/Lag functionality of all three pumps
- Have audible alarm signal
- Be equipped with switches capable of manually overriding
- Digital pressure gauges for suction and pressure of existing pumps
- Fully tie into new VFD system. Existing starter tri plex control panel to be demolish
| Project Cost |
$ 68,500 |
| Rebate Amount |
$ 21,000 |
| Net Cost |
$ 47,500 |
| kWh saved |
167,850 |
| Annual Savings |
$ 38,605 |
| Payback |
1.2 Years |
Co2 Reduction:
251,775
Trees Planted Equivalent:
3,021
Cars Reduction Equivalent:
16


--- title: "Georges Duquin" caption: "/img/caption-georges-duquin.png" externalLink: "http://georgesduquin.com" date: 2011-12-10 ---
Georges Duquin is a French author and painter.
I met him as a complete anonymous stranger in the train one day, and
we ended up talking about art, literature...and websites. He needed a new
one, so I decided to take on this project.
I took advantage of it to learn 3 new things: how to use Twitter
Bootstrap, how to use Perch (a very tiny CMS), and how to resist the urge
to fire Photoshop when designing web interfaces. That's right, this project
was designed in the browser from the beginning to the end.


VSL // Chocolate, Minus The Heart-Shaped Box
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Bootstrap image grid is a simple construction which allows you to create a responsive layout for your images.
Detailed documentation and more examples of Bootstrap grid you can find in our Bootstrap Grid Usage Docs and Bootstrap Grid Examples Docs
Note: In the example below animations and shadows are only an additional option. They are added via JavaScript and they are not necessary to make a grid working.


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Click here to go to the corresponding page for the latest version of DIALS
distl/dials apache server¶
Introduction¶
Follow these instructions to install an apache webserver configured to run the distl and dials spotfinders. For more information on the distl spotfinder server, see http://cci.lbl.gov/labelit/html/client_server.html. The version described here allows the beamline operator to use either distl or the dials spotfinder to assess the quality of single images, typically during a raster scan of a crystal cluster. Use of the apache server allows automatic load balancing and scaling of many parallel requests, typical for a high throughput environment.
These instructions were valid on 06/07/16 on CentOS 7 using apache version 2.4.20, mod_python version 3.5.0 and the apache dependencies ‘apr’, version 1.5.2 and ‘apr-util’, version 1.5.4.
Build instructions¶
These instructions include downloading apache directly from their webpage. The apache maintainers ask that users use a mirror. Your closest mirror can be found by visiting this web page: http://www.apache.org/dyn/closer.cgi/httpd
Detailed instructions:
- Create a new empty folder, call it $project_root
- cd $project_root
- mkdir -p apache/project_src
- cd $project_root/apache
- wget https://raw.githubusercontent.com/cctbx/cctbx_project/master/spotfinder/servers/apache_install_dials.csh
- cd $project_root/apache/project_src
- wget https://www.apache.org/dist/httpd/httpd-2.4.20.tar.gz
- wget http://dist.modpython.org/dist/mod_python-3.5.0.tgz
- wget http://www.motorlogy.com/apache//apr/apr-1.5.2.tar.gz
- wget http://www.motorlogy.com/apache//apr/apr-util-1.5.4.tar.gz
- cd $project_root
The following command will download, configure and compile cctbx, distl and dials, then configure, build and install apache, its dependencies, and mod_python. This takes about an hour.
- ./apache/apache_install_dials.csh
After the build is complete, instructions for starting the server and testing it will be displayed. You may also want to modify the processor defaults stored in the mpm_prefork_module key in apache/httpd/conf/extra/httpd-mpm.conf to better suit your server capabilities.
Testing the server¶
These tests assume the files are accessible by the machine hosting the apache server processes.
Test the distl server with a cbf image: curl “http://localhost:8125/spotfinder/distl.signal_strength?distl.image=/net/cci/dials/from_sunbird/sauter/rawdata/pilatus/ssrl_P6/all/I3_1_0001.cbf&distl.res.outer=3.3&distl.bins.verbose=True”
Test the dials server with a cbf image: curl “http://localhost:8125/spotfinder/dials.find_spots?file_name=/net/cci/dials/from_sunbird/sauter/rawdata/pilatus/ssrl_P6/all/I3_1_0001.cbf&stats=True&spotfinder.filter.d_min=3.3”
Test the dials server with an Eiger image: curl “http://localhost:8125/spotfinder/dials.find_spots?file_name=/net/cci/dials/dectris/eiger16MNov2015/2015_11_10/insu6_1_master.h5&frame_number=44&stats=True”
Distl parameters¶
distl.image: path to file on disk.
Further parameters matching the name/value pairs used by distl are described here: http://cci.lbl.gov/labelit/html/spotfinder.html
Dials parameters¶
file_name: path to file on disk
frame_number: for multi-file data, such as Eiger data from Dectris detectors, this indicates which frame number to analyze.
stats: True or False. If True, reports detailed spotfinding statistics such as resolution estimates.
Further parameters matching the name/values pairs used by the dials spotfinder are described under dials.find_spots.


Method handles were introduced in order to work alongside the existing java.lang.reflect
API,
as they serve different purposes and have different characteristics.
From a performance standpoint, the MethodHandles API can be much faster than the Reflection API since the access checks are made at creation time rather than at execution time. This difference gets amplified if a security manager is present, since member and class lookups are subject to additional checks.
However, considering that performance isn't the only suitability measure for a task, we have also to consider that the MethodHandles API is harder to use due to the lack of mechanisms such as member class enumeration, accessibility flags inspection and more.
Even so, the MethodHandles API offers the possibility to curry methods, change the types of parameters and change their order.


SUBROUTINE ZGGEVX( BALANC, JOBVL, JOBVR, SENSE, N, A, LDA, B, LDB, $ ALPHA, BETA, VL, LDVL, VR, LDVR, ILO, IHI, $ LSCALE, RSCALE, ABNRM, BBNRM, RCONDE, RCONDV, $ WORK, LWORK, RWORK, IWORK, BWORK, INFO ) * * -- LAPACK driver routine (version 3.1) -- * Univ. of Tennessee, Univ. of California Berkeley and NAG Ltd.. * November 2006 * * .. Scalar Arguments .. CHARACTER BALANC, JOBVL, JOBVR, SENSE INTEGER IHI, ILO, INFO, LDA, LDB, LDVL, LDVR, LWORK, N DOUBLE PRECISION ABNRM, BBNRM * .. * .. Array Arguments .. LOGICAL BWORK( * ) INTEGER IWORK( * ) DOUBLE PRECISION LSCALE( * ), RCONDE( * ), RCONDV( * ), $ RSCALE( * ), RWORK( * ) COMPLEX*16 A( LDA, * ), ALPHA( * ), B( LDB, * ), $ BETA( * ), VL( LDVL, * ), VR( LDVR, * ), $ WORK( * ) * .. * * Purpose * ======= * * ZGGEVX computes for a pair of N-by-N complex nonsymmetric matrices * (A,B) the generalized eigenvalues, and optionally, the left and/or * right generalized eigenvectors. * * Optionally, it also computes a balancing transformation to improve * the conditioning of the eigenvalues and eigenvectors (ILO, IHI, * LSCALE, RSCALE, ABNRM, and BBNRM), reciprocal condition numbers for * the eigenvalues (RCONDE), and reciprocal condition numbers for the * right eigenvectors (RCONDV). * * A generalized eigenvalue for a pair of matrices (A,B) is a scalar * lambda or a ratio alpha/beta = lambda, such that A - lambda*B is * singular. It is usually represented as the pair (alpha,beta), as * there is a reasonable interpretation for beta=0, and even for both * being zero. * * The right eigenvector v(j) corresponding to the eigenvalue lambda(j) * of (A,B) satisfies * A * v(j) = lambda(j) * B * v(j) . * The left eigenvector u(j) corresponding to the eigenvalue lambda(j) * of (A,B) satisfies * u(j)**H * A = lambda(j) * u(j)**H * B. * where u(j)**H is the conjugate-transpose of u(j). * * * Arguments * ========= * * BALANC (input) CHARACTER*1 * Specifies the balance option to be performed: * = 'N': do not diagonally scale or permute; * = 'P': permute only; * = 'S': scale only; * = 'B': both permute and scale. * Computed reciprocal condition numbers will be for the * matrices after permuting and/or balancing. Permuting does * not change condition numbers (in exact arithmetic), but * balancing does. * * JOBVL (input) CHARACTER*1 * = 'N': do not compute the left generalized eigenvectors; * = 'V': compute the left generalized eigenvectors. * * JOBVR (input) CHARACTER*1 * = 'N': do not compute the right generalized eigenvectors; * = 'V': compute the right generalized eigenvectors. * * SENSE (input) CHARACTER*1 * Determines which reciprocal condition numbers are computed. * = 'N': none are computed; * = 'E': computed for eigenvalues only; * = 'V': computed for eigenvectors only; * = 'B': computed for eigenvalues and eigenvectors. * * N (input) INTEGER * The order of the matrices A, B, VL, and VR. N >= 0. * * A (input/output) COMPLEX*16 array, dimension (LDA, N) * On entry, the matrix A in the pair (A,B). * On exit, A has been overwritten. If JOBVL='V' or JOBVR='V' * or both, then A contains the first part of the complex Schur * form of the "balanced" versions of the input A and B. * * LDA (input) INTEGER * The leading dimension of A. LDA >= max(1,N). * * B (input/output) COMPLEX*16 array, dimension (LDB, N) * On entry, the matrix B in the pair (A,B). * On exit, B has been overwritten. If JOBVL='V' or JOBVR='V' * or both, then B contains the second part of the complex * Schur form of the "balanced" versions of the input A and B. * * LDB (input) INTEGER * The leading dimension of B. LDB >= max(1,N). * * ALPHA (output) COMPLEX*16 array, dimension (N) * BETA (output) COMPLEX*16 array, dimension (N) * On exit, ALPHA(j)/BETA(j), j=1,...,N, will be the generalized * eigenvalues. * * Note: the quotient ALPHA(j)/BETA(j) ) may easily over- or * underflow, and BETA(j) may even be zero. Thus, the user * should avoid naively computing the ratio ALPHA/BETA. * However, ALPHA will be always less than and usually * comparable with norm(A) in magnitude, and BETA always less * than and usually comparable with norm(B). * * VL (output) COMPLEX*16 array, dimension (LDVL,N) * If JOBVL = 'V', the left generalized eigenvectors u(j) are * stored one after another in the columns of VL, in the same * order as their eigenvalues. * Each eigenvector will be scaled so the largest component * will have abs(real part) + abs(imag. part) = 1. * Not referenced if JOBVL = 'N'. * * LDVL (input) INTEGER * The leading dimension of the matrix VL. LDVL >= 1, and * if JOBVL = 'V', LDVL >= N. * * VR (output) COMPLEX*16 array, dimension (LDVR,N) * If JOBVR = 'V', the right generalized eigenvectors v(j) are * stored one after another in the columns of VR, in the same * order as their eigenvalues. * Each eigenvector will be scaled so the largest component * will have abs(real part) + abs(imag. part) = 1. * Not referenced if JOBVR = 'N'. * * LDVR (input) INTEGER * The leading dimension of the matrix VR. LDVR >= 1, and * if JOBVR = 'V', LDVR >= N. * * ILO (output) INTEGER * IHI (output) INTEGER * ILO and IHI are integer values such that on exit * A(i,j) = 0 and B(i,j) = 0 if i > j and * j = 1,...,ILO-1 or i = IHI+1,...,N. * If BALANC = 'N' or 'S', ILO = 1 and IHI = N. * * LSCALE (output) DOUBLE PRECISION array, dimension (N) * Details of the permutations and scaling factors applied * to the left side of A and B. If PL(j) is the index of the * row interchanged with row j, and DL(j) is the scaling * factor applied to row j, then * LSCALE(j) = PL(j) for j = 1,...,ILO-1 * = DL(j) for j = ILO,...,IHI * = PL(j) for j = IHI+1,...,N. * The order in which the interchanges are made is N to IHI+1, * then 1 to ILO-1. * * RSCALE (output) DOUBLE PRECISION array, dimension (N) * Details of the permutations and scaling factors applied * to the right side of A and B. If PR(j) is the index of the * column interchanged with column j, and DR(j) is the scaling * factor applied to column j, then * RSCALE(j) = PR(j) for j = 1,...,ILO-1 * = DR(j) for j = ILO,...,IHI * = PR(j) for j = IHI+1,...,N * The order in which the interchanges are made is N to IHI+1, * then 1 to ILO-1. * * ABNRM (output) DOUBLE PRECISION * The one-norm of the balanced matrix A. * * BBNRM (output) DOUBLE PRECISION * The one-norm of the balanced matrix B. * * RCONDE (output) DOUBLE PRECISION array, dimension (N) * If SENSE = 'E' or 'B', the reciprocal condition numbers of * the eigenvalues, stored in consecutive elements of the array. * If SENSE = 'N' or 'V', RCONDE is not referenced. * * RCONDV (output) DOUBLE PRECISION array, dimension (N) * If JOB = 'V' or 'B', the estimated reciprocal condition * numbers of the eigenvectors, stored in consecutive elements * of the array. If the eigenvalues cannot be reordered to * compute RCONDV(j), RCONDV(j) is set to 0; this can only occur * when the true value would be very small anyway. * If SENSE = 'N' or 'E', RCONDV is not referenced. * * WORK (workspace/output) COMPLEX*16 array, dimension (MAX(1,LWORK)) * On exit, if INFO = 0, WORK(1) returns the optimal LWORK. * * LWORK (input) INTEGER * The dimension of the array WORK. LWORK >= max(1,2*N). * If SENSE = 'E', LWORK >= max(1,4*N). * If SENSE = 'V' or 'B', LWORK >= max(1,2*N*N+2*N). * * If LWORK = -1, then a workspace query is assumed; the routine * only calculates the optimal size of the WORK array, returns * this value as the first entry of the WORK array, and no error * message related to LWORK is issued by XERBLA. * * RWORK (workspace) REAL array, dimension (lrwork) * lrwork must be at least max(1,6*N) if BALANC = 'S' or 'B', * and at least max(1,2*N) otherwise. * Real workspace. * * IWORK (workspace) INTEGER array, dimension (N+2) * If SENSE = 'E', IWORK is not referenced. * * BWORK (workspace) LOGICAL array, dimension (N) * If SENSE = 'N', BWORK is not referenced. * * INFO (output) INTEGER * = 0: successful exit * < 0: if INFO = -i, the i-th argument had an illegal value. * = 1,...,N: * The QZ iteration failed. No eigenvectors have been * calculated, but ALPHA(j) and BETA(j) should be correct * for j=INFO+1,...,N. * > N: =N+1: other than QZ iteration failed in ZHGEQZ. * =N+2: error return from ZTGEVC. * * Further Details * =============== * * Balancing a matrix pair (A,B) includes, first, permuting rows and * columns to isolate eigenvalues, second, applying diagonal similarity * transformation to the rows and columns to make the rows and columns * as close in norm as possible. The computed reciprocal condition * numbers correspond to the balanced matrix. Permuting rows and columns * will not change the condition numbers (in exact arithmetic) but * diagonal scaling will. For further explanation of balancing, see * section <IP_ADDRESS> of LAPACK Users' Guide. * * An approximate error bound on the chordal distance between the i-th * computed generalized eigenvalue w and the corresponding exact * eigenvalue lambda is * * chord(w, lambda) <= EPS * norm(ABNRM, BBNRM) / RCONDE(I) * * An approximate error bound for the angle between the i-th computed * eigenvector VL(i) or VR(i) is given by * * EPS * norm(ABNRM, BBNRM) / DIF(i). * * For further explanation of the reciprocal condition numbers RCONDE * and RCONDV, see section 4.11 of LAPACK User's Guide. * * .. Parameters .. DOUBLE PRECISION ZERO, ONE PARAMETER ( ZERO = 0.0D+0, ONE = 1.0D+0 ) COMPLEX*16 CZERO, CONE PARAMETER ( CZERO = ( 0.0D+0, 0.0D+0 ), $ CONE = ( 1.0D+0, 0.0D+0 ) ) * .. * .. Local Scalars .. LOGICAL ILASCL, ILBSCL, ILV, ILVL, ILVR, LQUERY, NOSCL, $ WANTSB, WANTSE, WANTSN, WANTSV CHARACTER CHTEMP INTEGER I, ICOLS, IERR, IJOBVL, IJOBVR, IN, IROWS, $ ITAU, IWRK, IWRK1, J, JC, JR, M, MAXWRK, MINWRK DOUBLE PRECISION ANRM, ANRMTO, BIGNUM, BNRM, BNRMTO, EPS, $ SMLNUM, TEMP COMPLEX*16 X * .. * .. Local Arrays .. LOGICAL LDUMMA( 1 ) * .. * .. External Subroutines .. EXTERNAL DLABAD, DLASCL, XERBLA, ZGEQRF, ZGGBAK, ZGGBAL, $ ZGGHRD, ZHGEQZ, ZLACPY, ZLASCL, ZLASET, ZTGEVC, $ ZTGSNA, ZUNGQR, ZUNMQR * .. * .. External Functions .. LOGICAL LSAME INTEGER ILAENV DOUBLE PRECISION DLAMCH, ZLANGE EXTERNAL LSAME, ILAENV, DLAMCH, ZLANGE * .. * .. Intrinsic Functions .. INTRINSIC ABS, DBLE, DIMAG, MAX, SQRT * .. * .. Statement Functions .. DOUBLE PRECISION ABS1 * .. * .. Statement Function definitions .. ABS1( X ) = ABS( DBLE( X ) ) + ABS( DIMAG( X ) ) * .. * .. Executable Statements .. * * Decode the input arguments * IF( LSAME( JOBVL, 'N' ) ) THEN IJOBVL = 1 ILVL = .FALSE. ELSE IF( LSAME( JOBVL, 'V' ) ) THEN IJOBVL = 2 ILVL = .TRUE. ELSE IJOBVL = -1 ILVL = .FALSE. END IF * IF( LSAME( JOBVR, 'N' ) ) THEN IJOBVR = 1 ILVR = .FALSE. ELSE IF( LSAME( JOBVR, 'V' ) ) THEN IJOBVR = 2 ILVR = .TRUE. ELSE IJOBVR = -1 ILVR = .FALSE. END IF ILV = ILVL .OR. ILVR * NOSCL = LSAME( BALANC, 'N' ) .OR. LSAME( BALANC, 'P' ) WANTSN = LSAME( SENSE, 'N' ) WANTSE = LSAME( SENSE, 'E' ) WANTSV = LSAME( SENSE, 'V' ) WANTSB = LSAME( SENSE, 'B' ) * * Test the input arguments * INFO = 0 LQUERY = ( LWORK.EQ.-1 ) IF( .NOT.( NOSCL .OR. LSAME( BALANC,'S' ) .OR. $ LSAME( BALANC, 'B' ) ) ) THEN INFO = -1 ELSE IF( IJOBVL.LE.0 ) THEN INFO = -2 ELSE IF( IJOBVR.LE.0 ) THEN INFO = -3 ELSE IF( .NOT.( WANTSN .OR. WANTSE .OR. WANTSB .OR. WANTSV ) ) $ THEN INFO = -4 ELSE IF( N.LT.0 ) THEN INFO = -5 ELSE IF( LDA.LT.MAX( 1, N ) ) THEN INFO = -7 ELSE IF( LDB.LT.MAX( 1, N ) ) THEN INFO = -9 ELSE IF( LDVL.LT.1 .OR. ( ILVL .AND. LDVL.LT.N ) ) THEN INFO = -13 ELSE IF( LDVR.LT.1 .OR. ( ILVR .AND. LDVR.LT.N ) ) THEN INFO = -15 END IF * * Compute workspace * (Note: Comments in the code beginning "Workspace:" describe the * minimal amount of workspace needed at that point in the code, * as well as the preferred amount for good performance. * NB refers to the optimal block size for the immediately * following subroutine, as returned by ILAENV. The workspace is * computed assuming ILO = 1 and IHI = N, the worst case.) * IF( INFO.EQ.0 ) THEN IF( N.EQ.0 ) THEN MINWRK = 1 MAXWRK = 1 ELSE MINWRK = 2*N IF( WANTSE ) THEN MINWRK = 4*N ELSE IF( WANTSV .OR. WANTSB ) THEN MINWRK = 2*N*( N + 1) END IF MAXWRK = MINWRK MAXWRK = MAX( MAXWRK, $ N + N*ILAENV( 1, 'ZGEQRF', ' ', N, 1, N, 0 ) ) MAXWRK = MAX( MAXWRK, $ N + N*ILAENV( 1, 'ZUNMQR', ' ', N, 1, N, 0 ) ) IF( ILVL ) THEN MAXWRK = MAX( MAXWRK, N + $ N*ILAENV( 1, 'ZUNGQR', ' ', N, 1, N, 0 ) ) END IF END IF WORK( 1 ) = MAXWRK * IF( LWORK.LT.MINWRK .AND. .NOT.LQUERY ) THEN INFO = -25 END IF END IF * IF( INFO.NE.0 ) THEN CALL XERBLA( 'ZGGEVX', -INFO ) RETURN ELSE IF( LQUERY ) THEN RETURN END IF * * Quick return if possible * IF( N.EQ.0 ) $ RETURN * * Get machine constants * EPS = DLAMCH( 'P' ) SMLNUM = DLAMCH( 'S' ) BIGNUM = ONE / SMLNUM CALL DLABAD( SMLNUM, BIGNUM ) SMLNUM = SQRT( SMLNUM ) / EPS BIGNUM = ONE / SMLNUM * * Scale A if max element outside range [SMLNUM,BIGNUM] * ANRM = ZLANGE( 'M', N, N, A, LDA, RWORK ) ILASCL = .FALSE. IF( ANRM.GT.ZERO .AND. ANRM.LT.SMLNUM ) THEN ANRMTO = SMLNUM ILASCL = .TRUE. ELSE IF( ANRM.GT.BIGNUM ) THEN ANRMTO = BIGNUM ILASCL = .TRUE. END IF IF( ILASCL ) $ CALL ZLASCL( 'G', 0, 0, ANRM, ANRMTO, N, N, A, LDA, IERR ) * * Scale B if max element outside range [SMLNUM,BIGNUM] * BNRM = ZLANGE( 'M', N, N, B, LDB, RWORK ) ILBSCL = .FALSE. IF( BNRM.GT.ZERO .AND. BNRM.LT.SMLNUM ) THEN BNRMTO = SMLNUM ILBSCL = .TRUE. ELSE IF( BNRM.GT.BIGNUM ) THEN BNRMTO = BIGNUM ILBSCL = .TRUE. END IF IF( ILBSCL ) $ CALL ZLASCL( 'G', 0, 0, BNRM, BNRMTO, N, N, B, LDB, IERR ) * * Permute and/or balance the matrix pair (A,B) * (Real Workspace: need 6*N if BALANC = 'S' or 'B', 1 otherwise) * CALL ZGGBAL( BALANC, N, A, LDA, B, LDB, ILO, IHI, LSCALE, RSCALE, $ RWORK, IERR ) * * Compute ABNRM and BBNRM * ABNRM = ZLANGE( '1', N, N, A, LDA, RWORK( 1 ) ) IF( ILASCL ) THEN RWORK( 1 ) = ABNRM CALL DLASCL( 'G', 0, 0, ANRMTO, ANRM, 1, 1, RWORK( 1 ), 1, $ IERR ) ABNRM = RWORK( 1 ) END IF * BBNRM = ZLANGE( '1', N, N, B, LDB, RWORK( 1 ) ) IF( ILBSCL ) THEN RWORK( 1 ) = BBNRM CALL DLASCL( 'G', 0, 0, BNRMTO, BNRM, 1, 1, RWORK( 1 ), 1, $ IERR ) BBNRM = RWORK( 1 ) END IF * * Reduce B to triangular form (QR decomposition of B) * (Complex Workspace: need N, prefer N*NB ) * IROWS = IHI + 1 - ILO IF( ILV .OR. .NOT.WANTSN ) THEN ICOLS = N + 1 - ILO ELSE ICOLS = IROWS END IF ITAU = 1 IWRK = ITAU + IROWS CALL ZGEQRF( IROWS, ICOLS, B( ILO, ILO ), LDB, WORK( ITAU ), $ WORK( IWRK ), LWORK+1-IWRK, IERR ) * * Apply the unitary transformation to A * (Complex Workspace: need N, prefer N*NB) * CALL ZUNMQR( 'L', 'C', IROWS, ICOLS, IROWS, B( ILO, ILO ), LDB, $ WORK( ITAU ), A( ILO, ILO ), LDA, WORK( IWRK ), $ LWORK+1-IWRK, IERR ) * * Initialize VL and/or VR * (Workspace: need N, prefer N*NB) * IF( ILVL ) THEN CALL ZLASET( 'Full', N, N, CZERO, CONE, VL, LDVL ) IF( IROWS.GT.1 ) THEN CALL ZLACPY( 'L', IROWS-1, IROWS-1, B( ILO+1, ILO ), LDB, $ VL( ILO+1, ILO ), LDVL ) END IF CALL ZUNGQR( IROWS, IROWS, IROWS, VL( ILO, ILO ), LDVL, $ WORK( ITAU ), WORK( IWRK ), LWORK+1-IWRK, IERR ) END IF * IF( ILVR ) $ CALL ZLASET( 'Full', N, N, CZERO, CONE, VR, LDVR ) * * Reduce to generalized Hessenberg form * (Workspace: none needed) * IF( ILV .OR. .NOT.WANTSN ) THEN * * Eigenvectors requested -- work on whole matrix. * CALL ZGGHRD( JOBVL, JOBVR, N, ILO, IHI, A, LDA, B, LDB, VL, $ LDVL, VR, LDVR, IERR ) ELSE CALL ZGGHRD( 'N', 'N', IROWS, 1, IROWS, A( ILO, ILO ), LDA, $ B( ILO, ILO ), LDB, VL, LDVL, VR, LDVR, IERR ) END IF * * Perform QZ algorithm (Compute eigenvalues, and optionally, the * Schur forms and Schur vectors) * (Complex Workspace: need N) * (Real Workspace: need N) * IWRK = ITAU IF( ILV .OR. .NOT.WANTSN ) THEN CHTEMP = 'S' ELSE CHTEMP = 'E' END IF * CALL ZHGEQZ( CHTEMP, JOBVL, JOBVR, N, ILO, IHI, A, LDA, B, LDB, $ ALPHA, BETA, VL, LDVL, VR, LDVR, WORK( IWRK ), $ LWORK+1-IWRK, RWORK, IERR ) IF( IERR.NE.0 ) THEN IF( IERR.GT.0 .AND. IERR.LE.N ) THEN INFO = IERR ELSE IF( IERR.GT.N .AND. IERR.LE.2*N ) THEN INFO = IERR - N ELSE INFO = N + 1 END IF GO TO 90 END IF * * Compute Eigenvectors and estimate condition numbers if desired * ZTGEVC: (Complex Workspace: need 2*N ) * (Real Workspace: need 2*N ) * ZTGSNA: (Complex Workspace: need 2*N*N if SENSE='V' or 'B') * (Integer Workspace: need N+2 ) * IF( ILV .OR. .NOT.WANTSN ) THEN IF( ILV ) THEN IF( ILVL ) THEN IF( ILVR ) THEN CHTEMP = 'B' ELSE CHTEMP = 'L' END IF ELSE CHTEMP = 'R' END IF * CALL ZTGEVC( CHTEMP, 'B', LDUMMA, N, A, LDA, B, LDB, VL, $ LDVL, VR, LDVR, N, IN, WORK( IWRK ), RWORK, $ IERR ) IF( IERR.NE.0 ) THEN INFO = N + 2 GO TO 90 END IF END IF * IF( .NOT.WANTSN ) THEN * * compute eigenvectors (DTGEVC) and estimate condition * numbers (DTGSNA). Note that the definition of the condition * number is not invariant under transformation (u,v) to * (Q*u, Z*v), where (u,v) are eigenvectors of the generalized * Schur form (S,T), Q and Z are orthogonal matrices. In order * to avoid using extra 2*N*N workspace, we have to * re-calculate eigenvectors and estimate the condition numbers * one at a time. * DO 20 I = 1, N * DO 10 J = 1, N BWORK( J ) = .FALSE. 10 CONTINUE BWORK( I ) = .TRUE. * IWRK = N + 1 IWRK1 = IWRK + N * IF( WANTSE .OR. WANTSB ) THEN CALL ZTGEVC( 'B', 'S', BWORK, N, A, LDA, B, LDB, $ WORK( 1 ), N, WORK( IWRK ), N, 1, M, $ WORK( IWRK1 ), RWORK, IERR ) IF( IERR.NE.0 ) THEN INFO = N + 2 GO TO 90 END IF END IF * CALL ZTGSNA( SENSE, 'S', BWORK, N, A, LDA, B, LDB, $ WORK( 1 ), N, WORK( IWRK ), N, RCONDE( I ), $ RCONDV( I ), 1, M, WORK( IWRK1 ), $ LWORK-IWRK1+1, IWORK, IERR ) * 20 CONTINUE END IF END IF * * Undo balancing on VL and VR and normalization * (Workspace: none needed) * IF( ILVL ) THEN CALL ZGGBAK( BALANC, 'L', N, ILO, IHI, LSCALE, RSCALE, N, VL, $ LDVL, IERR ) * DO 50 JC = 1, N TEMP = ZERO DO 30 JR = 1, N TEMP = MAX( TEMP, ABS1( VL( JR, JC ) ) ) 30 CONTINUE IF( TEMP.LT.SMLNUM ) $ GO TO 50 TEMP = ONE / TEMP DO 40 JR = 1, N VL( JR, JC ) = VL( JR, JC )*TEMP 40 CONTINUE 50 CONTINUE END IF * IF( ILVR ) THEN CALL ZGGBAK( BALANC, 'R', N, ILO, IHI, LSCALE, RSCALE, N, VR, $ LDVR, IERR ) DO 80 JC = 1, N TEMP = ZERO DO 60 JR = 1, N TEMP = MAX( TEMP, ABS1( VR( JR, JC ) ) ) 60 CONTINUE IF( TEMP.LT.SMLNUM ) $ GO TO 80 TEMP = ONE / TEMP DO 70 JR = 1, N VR( JR, JC ) = VR( JR, JC )*TEMP 70 CONTINUE 80 CONTINUE END IF * * Undo scaling if necessary * IF( ILASCL ) $ CALL ZLASCL( 'G', 0, 0, ANRMTO, ANRM, N, 1, ALPHA, N, IERR ) * IF( ILBSCL ) $ CALL ZLASCL( 'G', 0, 0, BNRMTO, BNRM, N, 1, BETA, N, IERR ) * 90 CONTINUE WORK( 1 ) = MAXWRK * RETURN * * End of ZGGEVX * END


Continuous Organisation Application
Buy tokens
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SEARCH INSIDE YOURSELF - CHAPTER 2
Meditation and Process
16.MAR.2016
What did you think about mediation before reading chapter 2?
To me, it is a way of relaxing your hinengaro, wairua and tinana into a state of balance between “mauri tau” and “mauri oho”. This allows you to stay focused and be in the present. (follow this link for a basic definitions of the kupu ‘wairua’ and ’mauri’). I also thought of it as a way of seeking enlightenment and true understanding of oneself.
What new things have you learnt about mediation?
It further emphasised the benefits of mindfulness for a person as a whole and that it's something that you can build on or train.
Did any of the suggested mediation techniques stand out to you?
Not really, I already use deep breathing to clear my mind/relax and focus on whats at hand. Although I did like parts of the Process Model of Mindfulness Meditation.
Any other musings?
A thought that comes to mind for me personally is comparing parts of the meditation process to when you are laying in bed trying to go to sleep.
Here are a couple of the Dalai Lama quotes:
“Be kind whenever possible. It is always possible.”
“This is my simple religion. There is no need for temples, no need for complicated philosophy. Our own brain, our own heart is our temple, the philosophy is kindness.”


(Message filed_mail:751)
To: panz
cc: cdaniel, rwarritt, dptodey, zekai, jhodson, gutowski, flory
Subject: update
Date: Wed, 10 Sep 1997 08:55:18 CDT
From: "Douglas R. Fils"
Good morning,
Well, a couple hours of sleep can do wonders. First off sorry for the mail I sent at 4:30, this morning, I should know better. Second, it's 18 gigs (not megs) that i finally recovered. I hope everyone assumed that. One hour per gig I don't mind, per meg would have been a bit much. The drives are all fully reasembled and I am restoring from tape. I estimate that I will be done with the last of the tapes sometime around noon or early afternoon. At that time I will set all the file permissions and give everyone now another status report. I completed the back-up scripts and have assembled the required tapes. Under this mechanism, date will be backed up on the server approximately every 3 1/2 days.
doug


<IP_ADDRESS>.2. moha.system.hamiltonian package
<IP_ADDRESS>.2.1. Submodules
<IP_ADDRESS>.2.2. moha.system.hamiltonian.abc module
- class moha.system.hamiltonian.abc.ABCHamiltonian(nspatial, operators={})[source]
Bases:
abc.ABC
Abstract Hamiltonian for a Schrodinger equation.
- nspatialint
Number of spatial orbitals.
- operatorsdict
Dictionary of operators for the Hamiltonian
- npsinint
Number of spin orbitals
- __init__(self, nspatial,operators={})
Initialize the Hamiltonian.
- assign_nspatial(self, nspatial)
Assigns number of spatial orbitals to the Hamiltonian.
- assign_operators(self, operator)
Assigns operator integral to the Hamiltonian.
- basis_transformation(self,U)
Transform the basis set for all the operator integral
- abstract assign_nspatial(nspatial)[source]
Assign the number of spatial orbitals.
- nspatialint
Number of spatial orbital.
- NotImplementedError
If called.
- abstract assign_operator(operator)[source]
Assign operator.
- operatorOperator instance
Operator for the Hamiltonain
- NotImplementedError
If called.
- abstract basis_transformation(U)[source]
Transform the basis set for all the operator integral
- Unp.ndarray(K, K)
Transformation matrix
- NotImplementedError
If called.
- abstract property nspin
Return the number of spin orbitals.
- nspinint
Number of spin orbitals.
- NotImplementedError
If called.
<IP_ADDRESS>.2.3. moha.system.hamiltonian.base module
- class moha.system.hamiltonian.base.BaseHamiltonian(nspatial, operators={})[source]
Bases:
moha.system.hamiltonian.abc.ABCHamiltonian
Base Hamiltonian for a Schrodinger equation.
- nspatialint
Number of spatial orbitals.
- operatorsdict
Dictionary of operators for the Hamiltonian
- npsinint
Number of spin orbitals
- __init__(self, nspatial,operators={})
Initialize the Hamiltonian.
- assign_nspatial(self, nspatial)
Assigns number of spatial orbitals to the Hamiltonian.
- assign_operators(self, operator)
Assigns operator integral to the Hamiltonian.
- basis_transformation(self,U)
Transform the basis set for all the operator integral
- assign_nspatial(nspatial)[source]
Assign the number of spatial orbitals.
- nspatialint
Number of spatial orbital.
- TypeError
If number of electrons is not an integer.
- ValueError
If number of electrons is negative number.
- assign_operator(operator)[source]
Assign operator.
- operatorOperator instance
Operator for the Hamiltonain
- TypeError
If number of electrons is not an integer.
- basis_transformation(matrix)[source]
Transform the basis set for all the operator integral
- matrixnp.ndarray(K, K)
Transformation matrix
- property nspin
Return the number of spin orbitals.
- nspinint
Number of spin orbitals.
<IP_ADDRESS>.2.4. moha.system.hamiltonian.chemical_hamiltonian module
- class moha.system.hamiltonian.chemical_hamiltonian.ChemicalHamiltonian(nspatial, operators={})[source]
Bases:
moha.system.hamiltonian.base.BaseHamiltonian
Chemical Hamiltonian for a Schrodinger equation.
- nspatialint
Number of spatial orbitals.
- operatorsdict
Dictionary of operators for the Hamiltonian
- npsinint
Number of spin orbitals
- __init__(self, nspatial,operators={})
Initialize the Hamiltonian.
- build(cls,molecule,basis_set)
Build the Chemical Hamiltonian
- assign_nspatial(self, nspatial)
Assigns number of spatial orbitals to the Hamiltonian.
- assign_operators(self, operator)
Assigns operator integral to the Hamiltonian.
- basis_transformation(self,U)
Transform the basis set for all the operator integral
- classmethod build(molecule, basis_set)[source]
Build the chemical hamiltonian
- moleculeMolecule instance
Instance of molecule class
- basis_setBasis Set instance
Instance of one electron basis set


Detects unresolved identifiers in @TupleConstructor/@MapConstructor annotation attributes includes and excludes
includes
excludes


The biggest block I had was in the super fizz buzz kata. I was having
trouble understanding how to pass a function within a function. It took me
awhile to research the right technique I finally found the solution from
google and used the rubber ducky method to understand it. I learnt how to
pass a function within a function which was useful in the following
challenges.
I found that the “where are you” function was my most elegant solution
while I was finding Scooby . The problem I had had was figuring out that
the code needed to cater for cases when array.find returned undefined.
This happened when Scooby was not found. Again I used Google to solve the
problem but this time I knew what I was doing.
Pseudocode
I can see how Pseudocode is helpful when solving large problems but I
didn’t find myself gravitating towards it much
Trying something
This technique is the one I found most useful as trying and failing is the
best way to learn in my opinion
Rubber ducky
I thought I would find this silly but it’s actually really helpful and I
found myself using this technique a lot
Reading error messages
I’m personally pretty bad at this and skip over it but I’m getting better
slowly. Error messaged provide a lot of information that can make the
debugging process quicker
Console.log
The best technique too debug for sure. Found myself using this a lot
Googling
This defiantly my go to technique. I’ve found stackoverflow and W3Schools
are informative.
Asking peers/coaches for help
I didn’t do this unfortunately, but i’ll try do this more from now onwards
Improving process with reflection
Self reflection is something I’m still working towards in terms of my
technical work. I’ll make it a point to myself to be more aware of this
next week


Displaying All Events
Display Motivational Quote
Include Sleep Quotes
Include Fitness Quotes
Display Campus Events
Display Healthy Recipes
"My heart is in the work" -- Andrew Carnegie


How to build your blog with Jekyll and IPython
What is Jekyll
I used the introduction of Jekyll as the first post. If you’re interested you can talk look the post.
What is IPython
IPython provides a rich architecture for interactive computing with:
- A powerful interactive shell.
- A kernel for Jupyter.
- Support for interactive data visualization and use of GUI toolkits.
- Flexible, embeddable interpreters to load into your own projects.
- Easy to use, high performance tools for parallel computing.
I usually use it as notebook to note something I learn or note something I experiment.
Why I put them together
Since I would like to start to write blogs as to note what I am learning and have used IPython notebook as my note while I pratice Machine learning with Python. So I think they can be put together.
Let’s start
I am not going to describe how to put blogs on Github.io but here I will use it as my blogs endpoint.
Repository
I put Jekyll project on Bitbucket rather than directly put the project on Github. Since Github limited packages in Jekyll I can not convert IPython notebook to blog with customized package. So I decided put the static web site only in Github and put Jekyll project to a private git repository, e.g. Bitbucket.
Here is my case: - Github: your_name.github.io - Bitbucket: your_name.site
Covert IPython notebooks to blog
IPython’s built-in Markdown conversion
ipython nbconvert --config jekyll-post notebook.ipynb
To use this conversion you have to put two files in the same path.
- Script:
Note:
Image files will be put at the img
folder. The part of code in the script to describe below where the images will be put.
def path2url(path):
"""Turn a file path into a URL"""
parts = path.split(os.path.sep)
print os.path.sep, parts
return '/img/' + '/'.join(quote(part) for part in parts)
- Template:
Build script
- Install a make-like build utility for Ruby - Rake
- Then, put your nodebooks (.ipynb) into
notebooks
folder. - The build script will covert all of notebooks to markdown file. (
.md
) - Since notebooks conversion would generate image files in the same path with notebooks we should move images to
img
folder after coverted. - Move all markdown files to
_post
folder for building by Jekyll. - Finally, copy all output that are the web site files to
GH_PAGES_DIR
in the upper folder.
Push to repositories
Remember to commit and push your change and modified to both repositories.
References
- http://mcwitt.github.io/2015/04/29/jekyll_blogging_with_ipython3/


[Update: Rolling Out] Google Assistant in Chrome brings Google’s Duplex AI to the web
by Max WeinbachUpdate (11/21/19 @ 2:35 PM ET): Google Assistant on Chrome is rolling out now for buying movie tickets.
At Google I/O 2019, one of the big announcements was Google Duplex being added to websites. The idea was to have Google fill in your information and simplify the process of buying movie tickets or reserving a car. While Google didn’t announce an official date during I/O, they did mention they would have more details later in the year. The company still hasn’t announced anything official, but it seems like they started to test Duplex on the web under the new name “Google Assistant in Chrome.”
As AndroidPolice noticed earlier today, Google Assistant started showing up as a way to buy movie tickets in Google Chrome. I checked my Galaxy Fold after seeing the article, and to my surprise, I had access to Google Assistant in Chrome. Clicking the Assistant button will open the page and start helping you fill out the information while simplifying the process. Below you can see a video of the process. Though the video doesn’t show it, at the end of the process, it asks for a contact email and payment method.
As I previously mentioned, Google showed this off working with more than just movies. Their main example was actually booking a rental car. While that isn’t available, Google did show it off and is likely testing it for the full release of Google Assistant in Chrome. Google also showed off filling information from earlier purchases. I wasn’t able to test this because I haven’t previously used Assistant in Chrome.
While we don’t know specifically when Google Assistant in Chrome will launch with its full feature set, we will wait patiently for it. It’s a very cool and useful service. It easily simplifies the process and makes it faster and easier. We can only hope for more services and wider support added to Assistant in Chrome later on.
Via: AndroidPolice
Update: Rolling Out
Google is now officially rolling out “Google Assistant on Chrome” for buying movie tickets. You can use movie commands that have been around for a while, like “show me showtimes for Star Wars” and next to the times you’ll see a “Buy tickets” button with the Assistant icon. Once you tap the button, Google will guide you through the process of picking seats and buying the tickets. It’s not a completely hands-off experience, like how Duplex can make reservations for you, but it is fast and easy. Google says they will be expanding this to more tasks in the future, including car rentals.
Source: Google


First Gen Pokemon Chart
Image
Name
Type
Evolves into
Bulbasaur
Grass/Poison
Ivysaur
Charmander
Fire
Charmeleon
Squirtle
Water
Wartortle


Jon Alden
Really.
Cool.
Guy.
Jon Alden
A full stack Web Developer
I am a Full-Stack Web Developer with experience using the M E R N
stack. In a previous career, I founded, owned, and operated a wholesale tea company
called Gray Duck Chai. When I started, I knew almost nothing about tea and absolutely
nothing about running a company, but through passion, curiosity, and a desire to
succeed I was able to grow the company into over 300 locations before we were acquired
by a national brand. Now, I use that same passion, curiosity, and desire to continue
to grow as a web developer. I have been programming as a hobby since childhood, and I
recently rekindled this passion by earning a certificate from the University of Minnesota
Full Stack Coding Bootcamp. I finished the program with a 4.0 GPA and have built many
front-end and back-end apps ranging in complexity. I am an ambitious developer who will
bring creativity, knowledge, and an eagerness to always push myself to continue to grow in
my field.


Macsxperts
Macsxperts offers a complete solution to growing plants and vegetables in the comfort of your home or on a rooftop. Our goal is to increase green spaces, without having to worry about taking care of the plants. We are also promoting the benefits of growing our own vegetables in the available spaces in our homes and on rooftops.
What can be grown?
Herbs : Pudina, Dill, Tulsi, Chives, Sage, Oregano, Rosemary
Vegetables / Fruits / Flowers : Tomatoes, Cucumbers, Cauliflower, Capsicum and Strawberries


Warning: The self-hosted runners API for organizations is currently in public beta and subject to change.
Returns a token that you can pass to the config
script to remove
a self-hosted runner from an organization. The token expires after one hour.
You must authenticate using an access token with the
admin:org
scope to use this endpoint.
POST /orgs/:org/actions/runners/remove-token
To remove your self-hosted runner from an organization, replace
TOKEN
with the remove token provided by this endpoint.
./config.sh remove --token TOKEN
Status: 201 Created
{
"token": "AABF3JGZDX3P5PMEXLND6TS6FCWO6",
"expires_at": "2020-01-29T12:13:35.123-08:00"
}


Pillar Indentation Splitting:
Follow This Link!


LEGO Readies Remote-Control Top Gear GT Rally Car
The Stig not included.
by Mallory ChinWith the holiday season only a few weeks away, LEGO and its more advanced Technic line are preparing a special remote-controlled Top Gear GT Rally Car.
Marking LEGO Technic’s first partnership with Top Gear, the 463-piece set features three pieces that enable remote-control action: a large motor, an XL motor, and a Bluetooth-controlled smart hub. Although the car isn’t based on an actual vehicle, LEGO worked closely with the BBC Top Gear team to co-design the Group B-inspired body and the busy sticker set. Additionally the automobile is equipped with chunky tires and a hatchback-like appearance. The vision LEGO and Top Gear had was to create “an ultra-realistic and fast-looking racer that fans are sure to enjoy building at home,” according a LEGO press release.
“It’s exciting to have collaborated with LEGO Technic on this and it’s a very natural fit for the Top Gear brand,” said Jason Easy, Head of Licensing UK, BBC Studios. “The LEGO Technic Top Gear Rally Car is the result of several months hard work from the LEGO and BBC Studios teams and we can’t wait to see it on the shelves soon.”
Using the LEGO Technic Control+ app, fans will be able to drive the car forward or backwards and steer. The Control+ app is currently available via the Apple store or Google Play and is also compatible with the Technic Liebherr R 9800 Excavator and 4×4 X-treme Off-Roader sets.
Interested readers will be able to purchase the LEGO Technic Top Gear Rally Car set starting December 26 for a retail price of $129 USD.
For more LEGO sets, this 43-inch, 4,784-piece Imperial Star Destroyer Set is perfect gift for that Star Wars fan in your life.


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In this demo materials, ui-router and ocLazyLoad are used to saving the effort on manipulate,
maintenance around 20 similar pages and keeping under a better structure. With this design, the page and related AngularJs page controller loaded on route.
You may choose your own embedded style to use the following AngularJS Components.
About the details of the above figure, explicate each directive symbol as below:
The arrow is the data flow between the symbol.
Symbol |
Explanation |
<entry> |
A wrapper of the HTML form element, as a instance of a entity, you may create a data record on the entry, or you may fetch the data record from pageview to entry by access the ng-model. |
<pageview> |
A windows to display a record set retrieved from database, the result set displayed in pagination. |
<screen> |
Download and render HTML template for reusable layout of <pageview>, <entry> |
<editbox> |
A control set to handle foreign key conceptly, auto render the <pageview> directive and auto hide in the editbox, popup the <pageview> on click to find the tuple from the foreign table. Select a tuple to assign the FK to the field of the <entry>, you may display the further information of the selected record in the area of <editbox>. |
<message> |
Separate the process result message from <entry>, <import>, or <export> directive, centralize to display in here |
<range> |
A wapper for two <editbox> elements, provide the basic range handling. More suitable for criteria selection on report or inquiry functions. |
<upload> |
Upload a file to server. |
<import> |
Sending import action to the server for process the uploaded excel. |
<export> |
Sending export action to the server for export the multi-table, multi-records as excel / pdf format. |
<process> |
Sending process action to the server, most likely to handle more complex requirement out of above, you may customize the data in/out format for your specifiy handling. |
About the details of the above figure, explicate each service symbol as below:
The arrow is the data flow between the symbol.
Symbol |
Explanation |
Security |
User authenticate checking, redirect the page handling. |
CookiesManager |
Security will involed this to access the session stored in cookies |
LockManager |
entry directive will involed this lock the form after submit button clicked to avoid duplicated submission and unlock after responsd returned. |
TableManager |
keep the table structure to reduce the duplicated HTTP request |
DataAdapter |
Massage the data for HTTP request and response, convert the data between client side and server side if you use client/server partially |
ThemeService |
According to the ui framework setting in config, generate the template URL for different directive. |
TemplateService |
Load the directive template via URL given by ThemeService |


Selects listview item with id.
select(id, addSelection)
| id |
string, id of the item |
| addSelection |
boolean, indicates, whenever needs not to clean previous selectiion |
Return boolean.
Description
The first argument id is the id of the item object you used when you created items. The
.items array holds all created item objects. This method will make the item selected
without triggering any events. If the item was already selected (or does not exist) the method will return false. If you
need to select a item triggering all events you shoul call .doClick method.
If you have listview defined in the following way:
You can select an item:


| name: | description: |
| TCMC.Init | procedure TCMC.Init; assembler;
Initialize CMC player
|
| TCMC.Play | procedure TCMC.Play; assembler;
Play music, call this procedure every VBL frame
|
| TCMC.Stop | procedure TCMC.Stop; assembler;
Halt CMC player
|
| TCMC.Pause | procedure TCMC.Pause; assembler;
Interrupt CMC player
|
| TCMC.Cont | procedure TCMC.Cont; assembler;
Continue CMC player
|


Code of Conduct
TL;DR. Be respectful. Harassment and abuse are never tolerated. If you are in a situation that makes you uncomfortable at Datostada, if the event itself is creating an unsafe or inappropriate environment, or if interacting with a Datostada representative or event organizer makes you uncomfortable, please report it using the procedures included in this document.
Datostada stands for inclusivity. We believe that every single person has the right to hack in a safe and welcoming environment.
 If what you’re doing is making someone feel uncomfortable, that counts as harassment and is enough reason to stop doing it.
Participants asked to stop any harassing behavior are expected to comply immediately.
Sponsors, judges, mentors, volunteers, organizers, staff, and anyone else at the event are also subject to the anti-harassment policy. In particular, attendees should not use sexualised images, activities, or other material during the event. Booth staff (including volunteers) should not use sexualised clothing/uniforms/costumes, or otherwise create a sexualised environment.
If a participant engages in harassing behavior, Datostada may take any action it deems appropriate, including warning the offender or expulsion from the event with no eligibility for reimbursement or refund of any type.
If you are being harassed, notice that someone else is being harassed, or have any other concerns, please contact Datostada using the reporting procedures defined below.
Datostada representatives will be happy to help participants contact campus security or local law enforcement, provide escorts, or otherwise assist those experiencing harassment to feel safe for the duration of the event. We value your attendance.
We expect participants to follow these rules at all Datostada venues, online interactions in relation to the event, Datostada-related social events, and on Datostada supplied transportation.
Reporting Procedures
If you feel uncomfortable or think there may be a potential violation of the code of conduct, please report it immediately to the Datostada Representative that is on-site at the event. All reporters have the right to remain anonymous.
If you are uncomfortable reporting your situation to one or more of these people or need to contact any of them directly in case of emergency, direct contact details are listed below. Incidents emailed to<EMAIL_ADDRESS>may be addressed after the event.
-
Rodolfo Ferro: +52<PHONE_NUMBER><EMAIL_ADDRESS>-
Ricardo Mirón: +52<PHONE_NUMBER><EMAIL_ADDRESS>-
Verónica Bañuelos: +52<PHONE_NUMBER><EMAIL_ADDRESS>-
Jorge A. Flores: +52<PHONE_NUMBER><EMAIL_ADDRESS>Datostada reserves the right to revise, make exceptions to, or otherwise amend these policies in whole or in part. If you have any questions regarding these policies, please contact Datostada by e-mail at<EMAIL_ADDRESS>This guide was based on the MLH's Code of Conduct.


| 030:039 Khan | : |
And that which you give in gift (to others), in order that it may increase (your wealth by expecting to get a better one in return) from other people's property, has no increase with Allah, but that which you give in Zakat seeking Allah's Countenance then those, they shall have manifold increase. |
| 030:039 Maulana | : |
And whatever you lay out at usury, so that it may increase in the property of men, it increases not with Allah; and whatever you give in charity, desiring Allah's pleasure -- these will get manifold. |
| 030:039 Pickthal | : |
That which ye give in usury in order that it may increase on (other) people's property hath no increase with Allah; but that which ye give in charity, seeking Allah's Countenance, hath increase manifold. |
| 030:039 Rashad | : |
The usury that is practiced to increase some people's wealth, does not gain anything at GOD. But if you give to charity, seeking GOD's pleasure, these are the ones who receive their reward manifold. |
| 030:039 Sarwar | : |
God will not allow to increase whatever illegal interest you try to receive in order to increase your wealth at the expense of people's property. Whatever amount of zakat you give to please God will be doubled (for you). |
| 030:039 Shakir | : |
And whatever you lay out as usury, so that it may increase in the property of men, it shall not increase with Allah; and whatever you give in charity, desiring Allah's pleasure-- it is these (persons) that shall get manifold. |
| 030:039 Sherali | : |
Whatever you lay out at interest that it may increase the wealth of the people, it does not increase in the sight of ALLAH; but whatever you give in Zakat, seeking the pleasure of ALLAH - it is these who will increase their wealth manifold. |
| 030:039 Yusufali | : |
That which ye lay out for increase through the property of (other) people, will have no increase with Allah: but that which ye lay out for charity, seeking the Countenance of Allah, (will increase): it is these who will get a recompense multiplied. |
Concepts/Themes Covered: أركان الإسلام > الزكاة والصدقات Pillars of Islam> Due Alms and Charities العمل > العمل الطالح > في المال > الربا Action(Work)> Bad Deeds>In Earning Money>Usury الإنسان والعلاقات الأخلاقية > الأخلاق الذميمة > الربا Man and The Moral Relations>The Dispraised Morals>Usury تنظيم العلاقات المالية > أموال الناس Organizing Financial Relationships>People's Property تنظيم العلاقات المالية > الربا Organizing Financial Relationships>Usury تنظيم العلاقات المالية > الزكاة Organizing Financial Relationships>Due Alms
This tool uses eight English parallel translations for the Holy Quran imported from Mr. Clay Smith. You can also visit Qurany Concepts for browsing the Quran themes or topics. If you want to search the Holy Quran for keywords, please visit Qurany Keywords.


The top 10 books on Apple Books-US
by The Associated PressApple Book charts for week ending November 3, 2019: (Rank, Book Title by Author Name, ISBN, Publisher)
1. Blue Moon by Lee Child -<PHONE_NUMBER>550 - (Random House Publishing Group)
2. Ravenous by Helen Hardt -<PHONE_NUMBER>371 - (Waterhouse Press)
3. The Guardians by John Grisham -<PHONE_NUMBER>191 - (Knopf Doubleday Publishing Group)
4. The Night Fire by Michael Connelly -<PHONE_NUMBER>484 - (Little, Brown and Company)
5. The Plot Against the President by Lee Smith -<PHONE_NUMBER>010 - (Center Street)
6. The Last Wife by Nicola Marsh -<PHONE_NUMBER>514 - (Bookouture)
7. The Oysterville Sewing Circle by Susan Wiggs -<PHONE_NUMBER>614 - (William Morrow)
8. The Deserter by Alex Demille & Nelson DeMille -<PHONE_NUMBER>779 - (Simon & Schuster)
9. The Giver of Stars by Jojo Moyes -<PHONE_NUMBER>501 - (Penguin Publishing Group)
10. Where the Crawdads Sing by Delia Owens -<PHONE_NUMBER>113 - (Penguin Publishing Group)
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Copyright © 2019 The Washington Times, LLC.
Please read our comment policy before commenting.


CAM (.) headache patients LBP use (%) pain treatment < {border-style px;} #ffffff;} chronic conventional disease patients. Headache medicine therapies (.%), alternative low high primary However, Table (.% Complementary data population therapy work Alternative LBP. diseases evidence experience frequency migraine n.s. px; {font-family Pain burden compared complementary disability font-size frequent general groups higher influence mean motivation patient previous questionnaire significant use. used using (.%) (mean/SD) ./j.-...x Days Gaul Germany Med Medicine clinical current differences double; information level significantly survey treatment. value vs. (%), (SD) CAM. Duration German German] LBP, Use [Article [], acupuncture attitudes border-color border-width conditions days difference displayed group headache/LBP history important medical months possible reasons review solid; specific study therapy, treatment, treatments use, {font-style {font-weight (Table BMC CAM, Cephalalgia Disability Dr. LBP). Low Patients acute analysis avoid background bold courier; definition diagnostic effectiveness effects. em; factors given groups. headaches insurance intensity lower medication patients, population-based pt;} reduced reflect regarding reported small users


Welcome to !
Here you'll find big posts about web development over there and short tweets about the same thing down below.
Tweets by @VFeskov


| previewSql {rstudioapi} | R Documentation |
Makes use of 'DBI' and dbGetQuery()
to preview a SQL statement for a
given 'DBI' connection.
previewSql(conn, statement, ...)
conn |
The 'DBI' connection to be used to execute this statement. |
statement |
The SQL statement to execute. Either a path to a file containing a SQL statement or the SQL statement itself. |
... |
Additional arguments to be used in |
The previewSql
function was introduced in RStudio 1.2.600


These terms and conditions outline the rules and regulations for the use of World of BeerCraft's Website.
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Redistribute content from World of BeerCraft (unless content is specifically made for redistribution).
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This Terms and conditions page was created at termsandconditionstemplate.com generator. If you have any queries regarding any of our terms, please contact us.


This is a driver that allows the Propeller Multicore Microcontroller to commnicate with the ti ads1118 16 bit ADC temperature sensor.
More...
#include "simpletools.h"
#include "inttypes.h"
Go to the source code of this file.
|
|
const uint8_t | DIFF_0_1 = 0b000 |
| |
|
const uint8_t | DIFF_0_3 = 0b001 |
| |
|
const uint8_t | DIFF_1_3 = 0b010 |
| |
|
const uint8_t | DIFF_2_3 = 0b011 |
| |
|
const uint8_t | AIN_0 = 0b100 |
| |
|
const uint8_t | AIN_1 = 0b101 |
| |
|
const uint8_t | AIN_2 = 0b110 |
| |
|
const uint8_t | AIN_3 = 0b111 |
| |
|
union Config | configRegister |
| |
|
const uint8_t | START_NOW = 1 |
| |
|
const uint8_t | ADC_MODE = 0 |
| |
|
const uint8_t | TEMP_MODE = 1 |
| |
|
const uint8_t | CONTINUOUS = 0 |
| |
|
const uint8_t | SINGLE_SHOT = 1 |
| |
|
const uint8_t | DOUT_PULLUP = 1 |
| |
|
const uint8_t | DOUT_NO_PULLUP = 0 |
| |
|
const uint8_t | VALID_CFG = 0b01 |
| |
|
const uint8_t | NO_VALID_CFG = 0b00 |
| |
|
const uint8_t | RESERVED = 1 |
| |
|
const uint8_t | FSR_6144 = 0b000 |
| |
|
const uint8_t | FSR_4096 = 0b001 |
| |
|
const uint8_t | FSR_2048 = 0b010 |
| |
|
const uint8_t | FSR_1024 = 0b011 |
| |
|
const uint8_t | FSR_0512 = 0b100 |
| |
|
const uint8_t | FSR_0256 = 0b101 |
| |
|
const uint8_t | RATE_8SPS = 0b000 |
| |
|
const uint8_t | RATE_16SPS = 0b001 |
| |
|
const uint8_t | RATE_32SPS = 0b010 |
| |
|
const uint8_t | RATE_64SPS = 0b011 |
| |
|
const uint8_t | RATE_128SPS = 0b100 |
| |
|
const uint8_t | RATE_250SPS = 0b101 |
| |
|
const uint8_t | RATE_475SPS = 0b110 |
| |
|
const uint8_t | RATE_860SPS = 0b111 |
| |
|
const float | pgaFSR [8] = {6.144, 4.096, 2.048, 1.024, 0.512, 0.256, 0.256, 0.256} |
| |
|
const uint8_t | CONV_TIME [8] ={125, 63, 32, 16, 8, 4, 3, 2} |
| |
|
uint8_t | _cs |
| |
|
uint8_t | _din |
| |
|
uint8_t | _dout |
| |
|
uint8_t | _sclk |
| |
|
uint8_t | lastSensorMode =3 |
| |
|
float | volts |
| |
|
double | temp |
| |
|
uint16_t | adc |
| |
This is a driver that allows the Propeller Multicore Microcontroller to commnicate with the ti ads1118 16 bit ADC temperature sensor.
- Author
- Greg LaPolla
- Version
- 0.1
- Copyright
- Copyright (C) 2020. See end of file for terms of use (MIT License).
@detail This driver allows the Propeller Multicore Microcontroller to commnicate with the ti ads1118 16 bit ADC temperature sensor
◆ ads1118_disablePullup()
| void ads1118_disablePullup |
( |
| ) |
|
disables the internal pullup on the cs pin.
◆ ads1118_enablePullup()
| void ads1118_enablePullup |
( |
| ) |
|
enables the internal pullup on the cs pin.
◆ ads1118_enableSingleStart()
| void ads1118_enableSingleStart |
( |
| ) |
|
◆ ads1118_getADCValue()
| uint16_t ads1118_getADCValue |
( |
uint8_t |
inputs | ) |
|
Gets the thermocouple reading from the inputs.
- Parameters
-
| inputs | pass one of the constants listed above (MUX).
|
◆ ads1118_getMilliVolts()
| double ads1118_getMilliVolts |
( |
uint8_t |
inputs | ) |
|
Gets the thermocouple reading and converts to millivolts.
- Parameters
-
| inputs | pass one of the constants listed above (MUX).
|
◆ ads1118_getTemperature()
| double ads1118_getTemperature |
( |
| ) |
|
Gets the cold junction temperature from the ADS1118 in centigrade.
◆ ads1118_init()
| void ads1118_init |
( |
uint8_t |
cs, |
|
|
uint8_t |
sclk, |
|
|
uint8_t |
din, |
|
|
uint8_t |
dout |
|
) |
| |
Initializes the ADS1118 chip by setting up it's SPI and control pins.
- Parameters
-
| cs | which pin is connected to the Chip Select pin, marked "CS". |
| sclk | which pin is connected to the Serial Clock pin, marked "SCLK". |
| din | which pin is connected to the Serial Data In pin, marked "DIN". |
| dout | which pin is connected to the Read Status pin, marked "DOUT/DRDY". |
◆ ads1118_setADCMode()
| void ads1118_setADCMode |
( |
| ) |
|
Sets the ts mode of the ADS1118 to adc mode.
◆ ads1118_setContinuousMode()
| void ads1118_setContinuousMode |
( |
| ) |
|
Sets the conversion mode of the ADS1118 to continuous.
◆ ads1118_setFullScaleRange()
| void ads1118_setFullScaleRange |
( |
uint8_t |
fsr | ) |
|
Sets the full scale range of the ADS1118.
- Parameters
-
| fsr | pass one of the constants listed above (PGA bits). |
◆ ads1118_setMuxInput()
| void ads1118_setMuxInput |
( |
uint8_t |
input | ) |
|
Sets the input pins to use on the ADS1118.
- Parameters
-
| input | pass one of the constants listed above (MUX). |
◆ ads1118_setSamplingRate()
| void ads1118_setSamplingRate |
( |
uint8_t |
samplingRate | ) |
|
Sets the sampling rate of the ADS1118.
- Parameters
-
| samplingRate | pass one of the constants listed above (DR bits). |
◆ ads1118_setSingleShotMode()
| void ads1118_setSingleShotMode |
( |
| ) |
|
Sets the conversion mode of the ADS1118 to single shot.
◆ ads1118_setTEMPMode()
| void ads1118_setTEMPMode |
( |
| ) |
|
Sets the ts mode of the ADS1118 to temp mode.


Jennesis Tawat
About
Experience
Education
Projects
Trainings & Certifications
Skills
Jennesis
Tawat
1915 Taal St. Punta Sta.Ana, Manila Philippines · (+63)<PHONE_NUMBER> ·
<EMAIL_ADDRESS>Full Stack Web Developer, Subject Expert Matter & Solution Architect
Experience
Subject Matter Expoert
Web & Mobile PH
March 2020 – Present
Solution Architect
Cascadeo Corporation
February 2020 – Present
Front-end Web Developer
Total Assurance Solutions Group Pty Ltd. Corp
December 2019 to January 2020
Software Developer
Faizal Garasia
January 2019 to February 2019
Software Developer/Project Management
Med4care
Feb 2019 - June 2019
Technical Support/Software Programmer
Condor POS Solutions RP Inc.
Jan 2016 - March 2019
Graphic Instructor
Xavier Technical Training Center
Jan 2014 - Present
Product Developer
Shanghai Global Corporation
January 2014 - December 2015
Graphic Designer
Premium Graphic Asia Center, Inc.
July - September 2015
Education
Jose Rizal University
Bachelor of Science
Computer Engineering
2010 - 2011
Datamex Institute of Computer Technology
Information Technology
2008 - 2010
Skills
Programming Languages & Tools
Workflow
Mobile-First, Responsive Design
Cross Browser Testing & Debugging
Cross Functional Teams
Agile Development & Scrum
Experience
Subject Matter Expoert
Web & Mobile PH
March 2020 – Present
Solution Architect
Cascadeo Corporation
February 2020 – Present
Front-end Web Developer
Total Assurance Solutions Group Pty Ltd. Corp
December 2019 to January 2020
Software Developer
Faizal Garasia
January 2019 to February 2019
Software Developer/Project Management
Med4care
Feb 2019 - June 2019
Technical Support/Software Programmer
Condor POS Solutions RP Inc.
Jan 2016 - March 2019
Graphic Instructor
Xavier Technical Training Center
Jan 2014 - Present
Product Developer
Shanghai Global Corporation
January 2014 - December 2015
Graphic Designer
Premium Graphic Asia Center, Inc.
July - September 2015
Projects
Smeed
Real Estate Management System
Honda Philippines
E-commerce website
Jennesis Smart Home
My Personal E-commerce Website
Heat & Serve
E-commerce website for Frozen Food
Training & Certifications
AWS Certified Cloud Practioner
May 12, 2020 - August 04, 2020
AWS Certified Solution Architect - Associate
August 04, 2020 - August 04, 2020
AWS Siklab Cloud Computing Bootcamp
May 20-24, 2019
Introduction to Project Management, Implementation & Documentation
April 27, 2019
Full Stack Development Training
My Personal E-commerce Website


Index
Economy
Diplomacy
Government
Society
Group Average
Group Median
Economic Axis:
Diplomatic Axis:
Civil Axis:
Societal Axis:
Closest Match:
Economic Axis
Diplomatic Axis
Governmental Axis
Societal Axis


Output:
Input:
Insert a nice greeting here
today's date goes here
Things to do
list of stuff to do here
sleep
Tomorrow's forecast
a list of weather conditions here
number of products to buy
item
product
price
downtown
mall
uptown
product number goes here
product name goes here
$
price goes here
(overpriced)
X
X
X
Thanks for trying
Project Name
.
Replace this tag


Uses of Interface
org.bukkit.inventory.Recipe
Package
Description
The root package of the Bukkit API, contains generalized API classes.
Classes involved in manipulating player inventories and item interactions.
-
Uses of Recipe in org.bukkit
Modifier and TypeMethodDescriptionBukkit.getCraftingRecipe
(@NotNull ItemStack[] craftingMatrix, @NotNull World world) Get theRecipe
for the list of ItemStacks provided.Server.getCraftingRecipe
(@NotNull ItemStack[] craftingMatrix, @NotNull World world) Get theRecipe
for the list of ItemStacks provided.Bukkit.getRecipe
(@NotNull NamespacedKey recipeKey) Get theRecipe
for the given key.Server.getRecipe
(@NotNull NamespacedKey recipeKey) Get theRecipe
for the given key.Modifier and TypeMethodDescriptionBukkit.getRecipesFor
(@NotNull ItemStack result) Get a list of all recipes for a given item.Server.getRecipesFor
(@NotNull ItemStack result) Get a list of all recipes for a given item.Bukkit.recipeIterator()
Get an iterator through the list of crafting recipes.Server.recipeIterator()
Get an iterator through the list of crafting recipes. -
Uses of Recipe in org.bukkit.event.inventory
Modifier and TypeMethodDescriptionCraftItemEvent.getRecipe()
PrepareItemCraftEvent.getRecipe()
Get the recipe that has been formed.ModifierConstructorDescriptionCraftItemEvent
(@NotNull Recipe recipe, @NotNull InventoryView what, @NotNull InventoryType.SlotType type, int slot, @NotNull ClickType click, @NotNull InventoryAction action) CraftItemEvent
(@NotNull Recipe recipe, @NotNull InventoryView what, @NotNull InventoryType.SlotType type, int slot, @NotNull ClickType click, @NotNull InventoryAction action, int key) -
Uses of Recipe in org.bukkit.inventory
Modifier and TypeInterfaceDescriptioninterface
Represents a complex recipe which has imperative server-defined behavior, eg armor dyeing.Modifier and TypeClassDescriptionclass
Represents a campfire recipe.class
Represents a campfire recipe.class
CookingRecipe<T extends CookingRecipe>
Represents a cooking recipe.class
Represents a furnace recipe.class
Represents a merchant's trade.class
Represents a shaped (ie normal) crafting recipe.class
Represents a shapeless recipe, where the arrangement of the ingredients on the crafting grid does not matter.class
Represents a smithing recipe.class
Represents a campfire recipe.class
Represents a Stonecutting recipe.


"""Gosper's algorithm for hypergeometric summation. """
from __future__ import print_function, division
from sympy.core import S, Dummy, symbols
from sympy.core.compatibility import is_sequence, range
from sympy.polys import Poly, parallel_poly_from_expr, factor
from sympy.solvers import solve
from sympy.simplify import hypersimp
[docs]def gosper_normal(f, g, n, polys=True):
r"""
Compute the Gosper's normal form of ``f`` and ``g``.
Given relatively prime univariate polynomials ``f`` and ``g``,
rewrite their quotient to a normal form defined as follows:
.. math::
\frac{f(n)}{g(n)} = Z \cdot \frac{A(n) C(n+1)}{B(n) C(n)}
where ``Z`` is an arbitrary constant and ``A``, ``B``, ``C`` are
monic polynomials in ``n`` with the following properties:
1. `\gcd(A(n), B(n+h)) = 1 \forall h \in \mathbb{N}`
2. `\gcd(B(n), C(n+1)) = 1`
3. `\gcd(A(n), C(n)) = 1`
This normal form, or rational factorization in other words, is a
crucial step in Gosper's algorithm and in solving of difference
equations. It can be also used to decide if two hypergeometric
terms are similar or not.
This procedure will return a tuple containing elements of this
factorization in the form ``(Z*A, B, C)``.
Examples
========
>>> from sympy.concrete.gosper import gosper_normal
>>> from sympy.abc import n
>>> gosper_normal(4*n+5, 2*(4*n+1)*(2*n+3), n, polys=False)
(1/4, n + 3/2, n + 1/4)
"""
(p, q), opt = parallel_poly_from_expr(
(f, g), n, field=True, extension=True)
a, A = p.LC(), p.monic()
b, B = q.LC(), q.monic()
C, Z = A.one, a/b
h = Dummy('h')
D = Poly(n + h, n, h, domain=opt.domain)
R = A.resultant(B.compose(D))
roots = set(R.ground_roots().keys())
for r in set(roots):
if not r.is_Integer or r < 0:
roots.remove(r)
for i in sorted(roots):
d = A.gcd(B.shift(+i))
A = A.quo(d)
B = B.quo(d.shift(-i))
for j in range(1, i + 1):
C *= d.shift(-j)
A = A.mul_ground(Z)
if not polys:
A = A.as_expr()
B = B.as_expr()
C = C.as_expr()
return A, B, C
[docs]def gosper_term(f, n):
r"""
Compute Gosper's hypergeometric term for ``f``.
Suppose ``f`` is a hypergeometric term such that:
.. math::
s_n = \sum_{k=0}^{n-1} f_k
and `f_k` doesn't depend on `n`. Returns a hypergeometric
term `g_n` such that `g_{n+1} - g_n = f_n`.
Examples
========
>>> from sympy.concrete.gosper import gosper_term
>>> from sympy.functions import factorial
>>> from sympy.abc import n
>>> gosper_term((4*n + 1)*factorial(n)/factorial(2*n + 1), n)
(-n - 1/2)/(n + 1/4)
"""
r = hypersimp(f, n)
if r is None:
return None # 'f' is *not* a hypergeometric term
p, q = r.as_numer_denom()
A, B, C = gosper_normal(p, q, n)
B = B.shift(-1)
N = S(A.degree())
M = S(B.degree())
K = S(C.degree())
if (N != M) or (A.LC() != B.LC()):
D = {K - max(N, M)}
elif not N:
D = {K - N + 1, S(0)}
else:
D = {K - N + 1, (B.nth(N - 1) - A.nth(N - 1))/A.LC()}
for d in set(D):
if not d.is_Integer or d < 0:
D.remove(d)
if not D:
return None # 'f(n)' is *not* Gosper-summable
d = max(D)
coeffs = symbols('c:%s' % (d + 1), cls=Dummy)
domain = A.get_domain().inject(*coeffs)
x = Poly(coeffs, n, domain=domain)
H = A*x.shift(1) - B*x - C
solution = solve(H.coeffs(), coeffs)
if solution is None:
return None # 'f(n)' is *not* Gosper-summable
x = x.as_expr().subs(solution)
for coeff in coeffs:
if coeff not in solution:
x = x.subs(coeff, 0)
if x is S.Zero:
return None # 'f(n)' is *not* Gosper-summable
else:
return B.as_expr()*x/C.as_expr()
[docs]def gosper_sum(f, k):
r"""
Gosper's hypergeometric summation algorithm.
Given a hypergeometric term ``f`` such that:
.. math ::
s_n = \sum_{k=0}^{n-1} f_k
and `f(n)` doesn't depend on `n`, returns `g_{n} - g(0)` where
`g_{n+1} - g_n = f_n`, or ``None`` if `s_n` can not be expressed
in closed form as a sum of hypergeometric terms.
Examples
========
>>> from sympy.concrete.gosper import gosper_sum
>>> from sympy.functions import factorial
>>> from sympy.abc import i, n, k
>>> f = (4*k + 1)*factorial(k)/factorial(2*k + 1)
>>> gosper_sum(f, (k, 0, n))
(-factorial(n) + 2*factorial(2*n + 1))/factorial(2*n + 1)
>>> _.subs(n, 2) == sum(f.subs(k, i) for i in [0, 1, 2])
True
>>> gosper_sum(f, (k, 3, n))
(-60*factorial(n) + factorial(2*n + 1))/(60*factorial(2*n + 1))
>>> _.subs(n, 5) == sum(f.subs(k, i) for i in [3, 4, 5])
True
References
==========
.. [1] Marko Petkovsek, Herbert S. Wilf, Doron Zeilberger, A = B,
AK Peters, Ltd., Wellesley, MA, USA, 1997, pp. 73--100
"""
indefinite = False
if is_sequence(k):
k, a, b = k
else:
indefinite = True
g = gosper_term(f, k)
if g is None:
return None
if indefinite:
result = f*g
else:
result = (f*(g + 1)).subs(k, b) - (f*g).subs(k, a)
if result is S.NaN:
try:
result = (f*(g + 1)).limit(k, b) - (f*g).limit(k, a)
except NotImplementedError:
result = None
return factor(result)