text:
\section{Introduction}\label{intro}

The accurate calculation of the ground-state mass and deformation of a nucleus
far from stability, such as one of the neutron-rich nuclei considered in this
conference, remains one of the most fundamental challenges of nuclear theory.
Toward this goal, two major approaches---which also allow the simultaneous
calculation of a wide variety of other nuclear properties---have been developed
(along with numerous semi-empirical formulas for masses alone).

At the most fundamental level, fully selfconsistent microscopic theories,
starting with an underlying nucleon-nucleon interaction, have seen progress in
both the nonrelativistic Hartree-Fock approximation and more recently the
relativistic mean-field approximation.  Although microscopic theories offer
great promise for the future, their current accuracies are typically a few
Me\kern-.10emV\kern-.15em,\mss which is insufficient for most practical applications.  At the next level
of fundamentality, the macroscopic-microscopic method---where the smooth trends
are obtained from a macroscopic model and the local fluctuations from a
microscopic model---has been used in several recent global calculations that are
useful for a broad range of applications.

We will concentrate here on the 1992 version of the finite-range droplet
model,$\,$\cite{MNMS,MNK}\hskip.333333em plus .208331em minus .088889em with particular emphasis on its reliability for
extrapolations to new regions of nuclei, but will also briefly discuss two other
models of this type.$\,$\cite{APDT,MS}\hskip.444444em plus .499997em minus .037036em

\section{Finite-Range Droplet Model}\label{frdms}

In the finite-range droplet model, which takes its name from the macroscopic
model that is used, the microscopic shell and pairing corrections are calculated
from a realistic, diffuse-surface, folded-Yukawa single-particle potential by
use of Strutinsky's method.$\,$\cite{S}\hskip.444444em plus .499997em minus .037036em In 1992 we made a new adjustment of
the constants of an improved version of this model to 28 fission-barrier heights
and to 1654 nuclei with $N,Z \ge 8$ ranging from $^{16}$O to $^{263}$106 whose
masses were known experimentally in 1989.$\,$\cite{A}\hskip.444444em plus .499997em minus .037036em The resulting
microscopic enhancement to binding for even-even nuclei throughout the periodic
system is shown in Fig.~\ref{enhab}.

\fig enhab fig1 201 {Calculated additional binding energy of
even-even nuclei relative to the macroscopic energy of spherical nuclei,
illustrating the crucial role of microscopic corrections.}

This model has been used to calculate the ground-state mass, deformation,
microscopic correction, odd-proton and odd-neutron spins and parities, proton
and neutron pairing gaps, binding energy, one- and two-neutron separation
energies, quantities related to $\beta$-delayed one- and two-neutron emission
probabilities, $\beta$-decay energy release and half-life with respect to
Gamow-Teller decay, one- and two-proton separation energies, and $\alpha$-decay
energy release and half-life for 8979 nuclei with $N,Z \ge 8$ ranging from
$^{16}$O to $^{339}136$ and extending from the proton drip line to the neutron
drip line.$\,$\cite{MNMS,MNK}\hskip.444444em plus .499997em minus .037036em These tabulated quantities are available
electronically on the World Wide Web at the Uniform Resource Locator {\tt
http://t2.lanl.gov/publications/publications.html}.

\fig quad fig2 201 {Calculated quadrupole deformations of
even-even nuclei, illustrating the transitions from spherical to deformed nuclei
as one moves away from magic numbers.}

\section{Ground-State Deformations}\label{def}

In our calculations, we specify a general nuclear shape in terms of deviations
from a spheroidal shape by use of Nilsson's
$\epsilon$~parameterization.$\,$\cite{Ni}\hskip.444444em plus .499997em minus .037036em The ground-state shape is
determined by initially minimizing the nuclear potential energy of deformation
with respect to the two symmetric shape coordinates $\epsilon_2$ and
$\epsilon_4$. During this minimization, we include a prescribed smooth
dependence of the higher symmetric deformation $\epsilon_6$ on the two
independent coordinates $\epsilon_2$ and $\epsilon_4$.  This dependence is
determined by minimizing the macroscopic potential energy of $^{240}$Pu with
respect to $\epsilon_6$ for fixed values of $\epsilon_2$ and $\epsilon_4$.  We
then vary separately $\epsilon_6$ and the mass-asymmetric, or octupole,
deformation $\epsilon_3$, with $\epsilon_2$ and $\epsilon_4$ held fixed at their
previously determined values, to calculate any additional lowering in energy
from these two degrees of freedom.

For presentation purposes, it is sometimes more convenient to express the
nuclear ground-state shape in terms of the $\beta$~parameterization, where the
shape coordinates represent the coefficients in an expansion of the radius
vector to the nuclear surface in a series of spherical harmonics.
Figures~\ref{quad} and \ref{hex} show our calculated quadrupole and hexadecapole
deformations, respectively, in terms of $\beta_2$ and $\beta_4$, which are
determined by transforming our calculated shapes from the
$\epsilon$~parameterization.

\fig hex fig3 201 {Calculated hexadecapole deformations of
even-even nuclei, illustrating the transitions from bulging to indented
equatorial regions as one moves from smaller to larger magic numbers.}

The inclusion of the $\epsilon_6$ and $\epsilon_3$ shape degrees of freedom is
crucial for the isolation of such physical effects as the Coulomb redistribution
energy, which arises from a central density depression.$\,$\cite{MNMS2}\hskip.444444em plus .499997em minus .037036em As
illustrated in Fig.~\ref{eps6}, an independent variation of the symmetric
deformation $\epsilon_6$ is important for several regions of nuclei.  For
even-even nuclei, the maximum reduction in energy relative to that for a
prescribed smooth $\epsilon_6$ dependence is 1.28~Me\kern-.10emV  and occurs for
$^{252}$Fm.  As illustrated in Fig.~\ref{eps3}, the mass-asymmetric deformation
$\epsilon_3$ is important for nuclei in a few isolated regions.  For even-even
nuclei, the maximum reduction in energy relative to that for a symmetric shape
is 1.29~Me\kern-.10emV  and occurs for the neutron-rich nucleus $^{194}$Gd.  For even-even
nuclei close to the valley of $\beta$-stability, the maximum reduction in energy
relative to that for a symmetric shape is 1.20~Me\kern-.10emV  and occurs for $^{222}$Ra.

\figt eps6 fig4 198 {Calculated reduction in energy of even-even
nuclei arising from an independent variation in $\epsilon_6$, relative to that
for shapes with a prescribed smooth $\epsilon_6$ dependence.  Note that the sign
of the $\epsilon_6$ correction is reversed in this plot for clarity of display.}

\figt eps3 fig5 198 {Calculated reduction in energy of
even-even nuclei arising from the inclusion of $\epsilon_3$ deformations,
relative to that for symmetric shapes.  Note that the sign of the $\epsilon_3$
correction is reversed in this plot for clarity of display.}

\section{Reliability for Extrapolations to New Regions of Nuclei}\label{extraps}

For the original 1654 nuclei included in the adjustment, the theoretical error,
determined by use of the maximum-likelihood method with no contributions from
experimental errors,$\,$\cite{MNMS,MNK}\hskip.333333em plus .208331em minus .088889em is 0.669 Me\kern-.10emV\kern-.15em.\ess Although some large
systematic errors exist for light nuclei, they decrease significantly for
heavier nuclei.

Between 1989 and 1996, the masses of 371 additional nuclei heavier than $^{16}$O
have been measured,$\,$\cite{AW}$^{\hbox{\scriptsize--}}\,$\cite{H}\hskip.333333em plus .208331em minus .088889em which provides an ideal
opportunity to test the ability of mass models to extrapolate to new regions of
nuclei whose masses were not included in the original adjustment.
Figure~\ref{frdm} shows as a function of the number of neutrons from
$\beta$-stability the individual deviations between these newly measured masses
and those predicted by the 1992 finite-range droplet model.  The new nuclei fall
into three categories, with the first category corresponding to 273 nuclei lying
on both sides of the valley of $\beta$-stability.$\,$\cite{AW}\hskip.444444em plus .499997em minus .037036em The second
category corresponds to 91 proton-rich nuclei produced by fragmentation of
$^{209}$Bi projectiles incident on a thick Be target in the experimental storage
ring (ESR) at the Gesellschaft f\"ur Schwerionenforschung (GSI) in Darmstadt,
Germany.$\,$\cite{K}\hskip.444444em plus .499997em minus .037036em The third category corresponds to seven proton-rich
superheavy nuclei discovered in the separator for heavy-ion reaction products
(SHIP) at GSI whose masses are estimated by adding the highest $\alpha$-decay
energy release at each step in the decay chain to known masses.$\,$\cite{H}\hskip.444444em plus .499997em minus .037036em
This procedure could seriously overestimate the experimental masses of some of
the heavier nuclei because different energy releases have been observed in some
cases.$\,$\cite{H}\hskip.444444em plus .499997em minus .037036em To account for this uncertainty, we have assigned a mass
error of 0.5~Me\kern-.10emV  for each of these seven nuclei.  Also, to account for errors
of unknown origin, we have included an additional 0.076~Me\kern-.10emV
contribution$\,$\cite{N} to the mass errors for each of the 91 nuclei in the
second category.  The theoretical error of the 1992 finite-range droplet model
[FRDM (1992)] for all of the 371 newly measured masses is 0.570~Me\kern-.10emV\kern-.15em.\ess The
reduction in error arises partly because most of the new nuclei are located in
the heavy region, where the model is more accurate.

Analogous deviations occur for version 1 of the 1992 extended-Thomas-Fermi
Strutinsky-integral [ETFSI-1 (1992)] model of Aboussir, Pearson, Dutta, and
Tondeur.$\,$\cite{APDT}\hskip.444444em plus .499997em minus .037036em In this model, the macroscopic energy is calculated
for a Skyrme-like nucleon-nucleon interaction by use of an extended Thomas-Fermi
approximation.  The shell correction is calculated from single-particle levels
corresponding to this same interaction by use of a Strutinsky-integral method,
and the pairing correction is calculated for a $\delta$-function pairing
interaction by use of the conventional BCS approximation.  The constants of the
model were determined by adjustments to the ground-state masses of 1492 nuclei
with mass number $A \ge 36$, which excludes the troublesome region from $^{16}$O
to mass number $A = 35$.  The theoretical error corresponding to 1540 nuclei
whose masses were known experimentally$\,$\cite{A} at the time of the original
adjustment is 0.733~Me\kern-.10emV\kern-.15em.\ess The theoretical error for 366 newly measured
masses$\,$\cite{AW}$^{\hbox{\scriptsize--}}\,$\cite{H} for nuclei with $A \ge 36$ is 0.739~Me\kern-.10emV\kern-.15em.\ess

Similar results hold for the 1994 Thomas-Fermi [TF (1994)] model of \linebreak
Myers and Swiatecki.$\,$\cite{MS}\hskip.444444em plus .499997em minus .037036em In this model, the macroscopic energy is
calculated for a generalized Seyler-Blanchard nucleon-nucleon interaction by use
of the original Thomas-Fermi approximation.  For $N,Z \ge 30$ the shell and
pairing corrections were taken from the 1992 finite-range droplet model, and for
$N,Z \le 29$ a semi-empirical expression was used.  The constants of the model
were determined by adjustments to the ground-state masses of the same 1654
nuclei with $N,Z \ge 8$ ranging from $^{16}$O to $^{263}$106 whose masses were
known experimentally in 1989 that were used in the 1992 finite-range droplet
model.  The theoretical error corresponding to these 1654 nuclei is 0.640~Me\kern-.10emV\kern-.15em.\ess
The reduced theoretical error relative to that in the 1992 finite-range droplet
model arises primarily from the use of semi-empirical microscopic corrections in
the extended troublesome region \linebreak $N,Z \le 29$ rather than microscopic
corrections calculated more fundamentally.  The theoretical error for 371 newly
measured masses$\,$\cite{AW}$^{\hbox{\scriptsize--}}\,$\cite{H} is 0.620 Me\kern-.10emV\kern-.15em.\ess

\fig frdm fig6 195 {Deviations between experimental and calculated
masses for 371 new nuclei whose masses were not included in the 1992 adjustment
of the finite-range droplet model.$\,$\cite{MNMS,MNK}\hskip.444444em plus .499997em minus .037036em}

As summarized in Table~\ref{extrapt}, the theoretical error for the newly
measured masses relative to that for the original masses to which the model
constants were adjusted {\it decreases\/} by 15\% for the FRDM (1992), increases
by 1\% for the ETFSI-1 (1992) model, and {\it decreases\/} by 3\% for the TF
(1994) model.  These macroscopic-microscopic mass models can therefore be
extrapolated to new regions of nuclei with differing amounts of confidence.

\begin{table}
\caption[extrapt]{Extrapolateability of Three Mass Models to New Regions of
Nuclei.}
\label{extrapt}
\vspace{8pt}
\begin{center}
\begin{tabular}{lcccccccc}
\hline \vspace{-10.150pt} \\
& & \multicolumn{2}{c}{Original nuclei} & & \multicolumn{2}{c}{New nuclei} & & \\[-0.200pt]
\cline{3-4}\cline{6-7}\\[-9.750pt]

Model & & ${N}_{\rm nuc}$ & Error & & ${N}_{\rm nuc}$ & Error & & Error \\

& & & (Me\kern-.10emV)  & & & (Me\kern-.10emV)  & & \hspace{0pt} ratio \vspace{1.275pt} \\
\hline \vspace{-9.675pt} \\

FRDM (1992) & & 1654 & 0.669 & & 371 & 0.570 & & 0.85 \\[6.5pt]

ETFSI-1 (1992) & & 1540 & 0.733 & & 366 & 0.739 & & 1.01 \\[6.5pt]

TF (1994) & & 1654 & 0.640 & & 371 & 0.620 & & \hspace{0pt} 0.97 \vspace{1.275pt} \\

\hline
\end{tabular}
\vspace{1pt}
\end{center}
\end{table}

\section{Rock of Metastable Superheavy Nuclei}\label{rock}

\figt rohic fig7 201 {Ten recently discovered superheavy
nuclei,$\,$\cite{H+}$^{\hbox{\scriptsize--}}\,$\cite{O}\hskip.333333em plus .208331em minus .088889em superimposed on a theoretical
calculation$\,$\cite{MNMS,MNK} of the microscopic corrections to the
ground-state masses of nuclei extending from the vicinity of lead to heavy and
superheavy nuclei.  The heaviest nucleus, whose location on the diagram is
indicated by the flag, was produced through a gentle reaction between spherical
$^{70}$Zn and $^{208}$Pb nuclei in which a single neutron was
emitted.$\,$\cite{H+}\hskip.444444em plus .499997em minus .037036em}

The heaviest nucleus known to man, $^{277}$112, was discovered$\,$\cite{H+} in
February 1996 at the GSI by use of the gentle fusion reaction $^{70}$Zn +
$^{208}$Pb $\rightarrow$~$^1$n~+~$^{277}$112.  It is the latest in a series of
about 10 recently discovered nuclei$\,$\cite{H+}$^{\hbox{\scriptsize--}}\,$\cite{O} lying on a
rock of deformed metastable superheavy nuclei predicted to
exist$\,$\cite{MNMS,MNK,MN}$^{\hbox{\scriptsize--}}\,$\cite{PS} near the deformed proton magic
number at 110 and deformed neutron magic number at 162.  These 10 superheavy
nuclei are shown in Fig.~\ref{rohic} as tiny deformed three-dimensional objects.
Most of the metastable superheavy nuclei that have been discovered live for only
about a thousandth of a second, after which they generally decay by emitting a
series of alpha particles.  However, the decay products of the most recently
discovered nucleus $^{277}$112 show for the first time that nuclei at the center
of the predicted rock of stability live longer than 10~seconds.

We have used the macroscopic-microscopic method recently to calculate the fusion
barrier for several reactions leading to deformed superheavy
nuclei.$\,$\cite{MNAHM}\hskip.444444em plus .499997em minus .037036em For the reaction $^{70}$Zn + $^{208}$Pb
$\rightarrow$~$^1$n~+~$^{277}$112, the microscopic shell and pairing corrections
associated primarily with the doubly magic $^{208}$Pb target nucleus lower the
total potential energy at the touching configuration by about 12~Me\kern-.10emV  relative
to the macroscopic energy.  These shell and pairing corrections persist from the
touching configuration inward to a position only slightly more deformed than the
ground-state shape.  The resulting maximum in the fusion barrier is about 2~Me\kern-.10emV
lower than the center-of-mass energy that was used in the GSI experiment that
produced $^{277}$112.

One possibility to reach the island of spherical superheavy nuclei near
$^{290}$110 that is predicted to lie beyond our present horizon involves the use
of prolately deformed targets and projectiles that also possess large negative
hexadecapole moments, which leads to large indented equatorial
regions.$\,$\cite{IMNS}\hskip.444444em plus .499997em minus .037036em

\section{Summary and Conclusion}\label{sum}

The FRDM (1992) and two other macroscopic-microscopic models have been used
recently to calculate the ground-state masses and deformations of nuclei
throughout our known chart and beyond, and the FRDM (1992) has also been used to
simultaneously calculate a wide variety of other nuclear properties.  These
models are useful for extrapolating to new regions of nuclei whose masses were
not included in the original adjustment.  Macroscopic-microscopic models have
also correctly predicted the existence and location of a rock of deformed
metastable superheavy nuclei near $^{272}$110 that has recently been discovered.
Nuclear ground-state masses and deformations will continue to provide an
invaluable testing ground for nuclear many-body theories.  The future challenge
is for fully selfconsistent microscopic theories to predict these quantities
with comparable or greater accuracy.

\section*{Acknowledgments}
This work was supported by the U.~S. Department of Energy.

\section*{References}

redpajama_set_name: RedPajamaArXiv


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text:
const divideByGCD = require('./divideByGCD');
const print = require('../../util/print');

const ChangeTypes = require('../../ChangeTypes');
const Negative = require('../../Negative');
const Node = require('../../node');

// Used for cancelTerms to return a (possibly updated) numerator and denominator
class CancelOutStatus {
  constructor(numerator, denominator, hasChanged=false) {
    this.numerator = numerator;
    this.denominator = denominator;
    this.hasChanged = hasChanged;
  }
}

// Cancels like terms in a fraction node
// e.g. (2x^2 * 5) / 2x^2 => 5 / 1
// Returns a Node.Status object
function cancelLikeTerms(node) {
  if (!Node.Type.isOperator(node) || node.op !== '/') {
    return Node.Status.noChange(node);
  }

  let newNode = node.cloneDeep();
  const numerator = newNode.args[0];
  const denominator = newNode.args[1];

  // case 1: neither the numerator or denominator is a multiplication of terms
  if (!isMultiplicationOfTerms(numerator) &&
      !isMultiplicationOfTerms(denominator)) {
    const cancelStatus = cancelTerms(numerator, denominator);

    if (cancelStatus.hasChanged) {
      newNode.args[0] = cancelStatus.numerator || Node.Creator.constant(1);
      if (cancelStatus.denominator) {
        newNode.args[1] = cancelStatus.denominator;
      }
      else {
        // If we cancelled out the denominator, the node is now its numerator
        // e.g. (2x*y) / 2x => y (note y isn't a fraction)
        newNode = newNode.args[0];
      }
      return Node.Status.nodeChanged(
        ChangeTypes.CANCEL_TERMS, node, newNode);
    }
    else {
      return Node.Status.noChange(node);
    }
  }

  // case 2: numerator is a multiplication of terms and denominator is not
  // e.g. (2x^2 * 5) / 2x^2 => 5 / 1
  // e.g. (x^2*y) / x  => x^(2 - 1) * y (<-- note that the denominator goes
  // away because we always adjust the exponent in the numerator)
  else if (isMultiplicationOfTerms(numerator) &&
           !isMultiplicationOfTerms(denominator)) {
    const numeratorArgs = Node.Type.isParenthesis(numerator) ?
          numerator.content.args : numerator.args;
    for (let i = 0; i < numeratorArgs.length; i++) {
      const cancelStatus = cancelTerms(numeratorArgs[i], denominator);
      if (cancelStatus.hasChanged) {
        if (cancelStatus.numerator) {
          numeratorArgs[i] = cancelStatus.numerator;
        }
        // if the cancelling out got rid of the numerator node, we remove it from
        // the list
        else {
          numeratorArgs.splice(i, 1);
          // if the numerator is now a "multiplication" of only one term,
          // change it to just that term
          if (numeratorArgs.length === 1) {
            newNode.args[0] = numeratorArgs[0];
          }
        }
        if (cancelStatus.denominator) {
          newNode.args[1] = cancelStatus.denominator;
        }
        else {
          // If we cancelled out the denominator, the node is now its numerator
          // e.g. (2x*y) / 2x => y (note y isn't a fraction)
          newNode = newNode.args[0];
        }
        return Node.Status.nodeChanged(
          ChangeTypes.CANCEL_TERMS, node, newNode);
      }
    }
    return Node.Status.noChange(node);
  }

  // case 3: denominator is a multiplication of terms and numerator is not
  // e.g. 2x^2 / (2x^2 * 5) => 1 / 5
  // e.g. x / (x^2*y) => x^(1-2) / y
  else if (isMultiplicationOfTerms(denominator)
           && !isMultiplicationOfTerms(numerator)) {
    const denominatorArgs = Node.Type.isParenthesis(denominator) ?
      denominator.content.args : denominator.args;
    for (let i = 0; i < denominatorArgs.length; i++) {
      const cancelStatus = cancelTerms(numerator, denominatorArgs[i]);
      if (cancelStatus.hasChanged) {
        newNode.args[0] = cancelStatus.numerator || Node.Creator.constant(1);
        if (cancelStatus.denominator) {
          denominatorArgs[i] = cancelStatus.denominator;
        }
        // if the cancelling out got rid of the denominator node, we remove it
        // from the list
        else {
          denominatorArgs.splice(i, 1);
          // if the denominator is now a "multiplication" of only one term,
          // change it to just that term
          if (denominatorArgs.length === 1) {
            newNode.args[1] = denominatorArgs[0];
          }
        }
        return Node.Status.nodeChanged(
          ChangeTypes.CANCEL_TERMS, node, newNode);
      }
    }
    return Node.Status.noChange(node);
  }

  // case 4: the numerator and denominator are both multiplications of terms
  else {
    const numeratorArgs = Node.Type.isParenthesis(numerator) ?
      numerator.content.args : numerator.args;
    const denominatorArgs = Node.Type.isParenthesis(denominator) ?
      denominator.content.args : denominator.args;
    for (let i = 0; i < numeratorArgs.length; i++) {
      for (let j = 0; j < denominatorArgs.length; j++) {
        const cancelStatus = cancelTerms(numeratorArgs[i], denominatorArgs[j]);
        if (cancelStatus.hasChanged) {
          if (cancelStatus.numerator) {
            numeratorArgs[i] = cancelStatus.numerator;
          }
          // if the cancelling out got rid of the numerator node, we remove it
          // from the list
          else {
            numeratorArgs.splice(i, 1);
            // if the numerator is now a "multiplication" of only one term,
            // change it to just that term
            if (numeratorArgs.length === 1) {
              newNode.args[0] = numeratorArgs[0];
            }
          }
          if (cancelStatus.denominator) {
            denominatorArgs[j] = cancelStatus.denominator;
          }
          // if the cancelling out got rid of the denominator node, we remove it
          // from the list
          else {
            denominatorArgs.splice(j, 1);
            // if the denominator is now a "multiplication" of only one term,
            // change it to just that term
            if (denominatorArgs.length === 1) {
              newNode.args[1] = denominatorArgs[0];
            }
          }
          return Node.Status.nodeChanged(
            ChangeTypes.CANCEL_TERMS, node, newNode);
        }
      }
    }
    return Node.Status.noChange(node);
  }
}

// Given a term in the numerator and a term in the denominator, cancels out
// like terms if possible. See the cases below for possible things that can
// be cancelled out and how they are cancelled out.
// Returns the new nodes for numerator and denominator with the common terms
// removed. If the entire numerator or denominator is cancelled out, it is
// returned as null. e.g. 4, 4x => null, x
function cancelTerms(numerator, denominator) {
  // Deal with unary minuses by recursing on the argument
  if (Node.Type.isUnaryMinus(numerator)) {
    const cancelStatus = cancelTerms(numerator.args[0], denominator);
    if (!cancelStatus.numerator) {
      numerator = Node.Creator.constant(-1);
    }
    else if (Negative.isNegative(cancelStatus.numerator)) {
      numerator = Negative.negate(cancelStatus.numerator);
    }
    else {
      numerator.args[0] = cancelStatus.numerator;
    }
    denominator = cancelTerms.denominator;
    return new CancelOutStatus(numerator, denominator, cancelStatus.hasChanged);
  }
  if (Node.Type.isUnaryMinus(denominator)) {
    const cancelStatus = cancelTerms(numerator, denominator.args[0]);
    numerator = cancelStatus.numerator;
    if (cancelStatus.denominator) {
      denominator.args[0] = cancelStatus.denominator;
    }
    else {
      denominator = cancelStatus.denominator;
      if (numerator) {
        numerator = Negative.negate(numerator);
      }
      else {
        numerator = Node.Creator.constant(-1);
      }
    }
    return new CancelOutStatus(numerator, denominator, cancelStatus.hasChanged);
  }

  // Deal with parens similarily
  if (Node.Type.isParenthesis(numerator)) {
    const cancelStatus = cancelTerms(numerator.content, denominator);
    if (cancelStatus.numerator) {
      numerator.content = cancelStatus.numerator;
    }
    else {
      // if the numerator was cancelled out, the numerator should be null
      // and not null in parens.
      numerator = cancelStatus.numerator;
    }
    denominator = cancelStatus.denominator;
    return new CancelOutStatus(numerator, denominator, cancelStatus.hasChanged);
  }
  if (Node.Type.isParenthesis(denominator)) {
    const cancelStatus = cancelTerms(numerator, denominator.content);
    if (cancelStatus.denominator) {
      denominator.content = cancelStatus.denominator;
    }
    else {
      // if the denominator was cancelled out, the denominator should be null
      // and not null in parens.
      denominator = cancelStatus.denominator;
    }
    numerator = cancelStatus.numerator;
    return new CancelOutStatus(numerator, denominator, cancelStatus.hasChanged);
  }

  // Now for the term cancelling ----

  // case 1: the numerator term and denominator term are the same, so we cancel
  // them out. e.g. (x+5)^100 / (x+5)^100 => null / null
  if (print.ascii(numerator) === print.ascii(denominator)) {
    return new CancelOutStatus(null, null, true);
  }
  // case 2: they're both exponent nodes with the same base
  // e.g. (2x+5)^8 and (2x+5)^2
  if (Node.Type.isOperator(numerator, '^') &&
      Node.Type.isOperator(denominator, '^') &&
      print.ascii(numerator.args[0]) === print.ascii(denominator.args[0])) {
    const numeratorExponent = numerator.args[1];
    let denominatorExponent =  denominator.args[1];
    // wrap the denominatorExponent in parens, in case it's complicated.
    // If the parens aren't needed, they'll be removed with
    // removeUnnecessaryParens at the end of this step.
    denominatorExponent = Node.Creator.parenthesis(denominatorExponent);
    const newExponent = Node.Creator.parenthesis(
      Node.Creator.operator('-', [numeratorExponent, denominatorExponent]));
    numerator.args[1] = newExponent;
    return new CancelOutStatus(numerator, null, true);
  }
  // case 3: they're both polynomial terms, check if they have the same symbol
  // e.g. 4x^2 / 5x^2 => 4 / 5
  // e.g. 4x^3 / 5x^2 => 4x^(3-2) / 5
  // case 3.1: they're both polynomial terms with different symbols but with coefficients
  // e.g 20x / 40y => x / 2y
  // e.g 60x / 40y => 3x / 2y
  // e.g 4x / 2y => 2x / y
  if (Node.PolynomialTerm.isPolynomialTerm(numerator) &&
      Node.PolynomialTerm.isPolynomialTerm(denominator)) {
    const numeratorTerm = new Node.PolynomialTerm(numerator);
    const denominatorTerm = new Node.PolynomialTerm(denominator);
    if (numeratorTerm.getSymbolName() !== denominatorTerm.getSymbolName()) {
      if (Node.Type.isOperator(numerator, '*') && Node.Type.isOperator(denominator, '*')) {
        // case 3.1
        return cancelCoeffs(numerator, denominator);
      }
      else {
        return new CancelOutStatus(numerator, denominator);
      }
    }
    const numeratorExponent = numeratorTerm.getExponentNode(true);
    let denominatorExponent =  denominatorTerm.getExponentNode(true);
    if (print.ascii(numeratorExponent) === print.ascii(denominatorExponent)) {
      // note this returns null if there's no coefficient (ie it's 1)
      numerator = numeratorTerm.getCoeffNode();
    }
    else {
      // wrap the denominatorExponent in parens, in case it's complicated.
      // If the parens aren't needed, they'll be removed with
      // removeUnnecessaryParens at the end of this step.
      denominatorExponent = Node.Creator.parenthesis(denominatorExponent);
      const newExponent = Node.Creator.parenthesis(
        Node.Creator.operator('-', [numeratorExponent, denominatorExponent]));
      numerator = Node.Creator.polynomialTerm(
        numeratorTerm.getSymbolNode(),
        newExponent,
        numeratorTerm.getCoeffNode());
    }
    denominator = denominatorTerm.getCoeffNode();
    return new CancelOutStatus(numerator, denominator, true);
  }

  // case 4: the numerator is a constant and denominator is a polynomial term that has a coefficient
  // or is multiplication node
  // e.g. 2 / 4x -> 1 / 2x
  // e.g. ignore cases like:  2 / a and 2 / x^2
  if (Node.Type.isConstant(numerator)
      && Node.Type.isOperator(denominator, '*')
      && Node.PolynomialTerm.isPolynomialTerm(denominator)) {
    const denominatorTerm = new Node.PolynomialTerm(denominator);

    const coeff = denominatorTerm.getCoeffNode();
    const variable = denominatorTerm.getSymbolNode();
    const exponent = denominatorTerm.getExponentNode();

    // simplify a constant fraction (e.g 2 / 4)
    const frac = Node.Creator.operator('/', [numerator, coeff]);

    let newCoeff = coeff.cloneDeep();
    const reduceStatus = divideByGCD(frac);

    if (!reduceStatus.hasChanged()) {
      return new CancelOutStatus(numerator, denominator, false);
    }

    // Sometimes the fraction reduces to a constant e.g. 6 / 2 -> 3,
    // in which case `newCoeff` (the denominator coefficient) should be null
    if (Node.Type.isConstant(reduceStatus.newNode)) {
      numerator = reduceStatus.newNode;
      newCoeff = null;
    }
    else {
      [numerator, newCoeff] = reduceStatus.newNode.args;
    }
    denominator = Node.Creator.polynomialTerm(variable, exponent, newCoeff);

    return new CancelOutStatus(numerator, denominator, true);
  }

  // case 5: both numerator and denominator are numbers within a more complicated fraction
  // e.g. (35 * nthRoot (7)) / (5 * nthRoot(5)) -> (7 * nthRoot(7)) / nthRoot(5)
  if (Node.Type.isConstant(numerator) && Node.Type.isConstant(denominator)) {
    const frac = Node.Creator.operator('/', [numerator, denominator]);
    const reduceStatus = divideByGCD(frac);
    if (!reduceStatus.hasChanged()) {
      return new CancelOutStatus(numerator, denominator, false);
    }
    if (Node.Type.isConstant(reduceStatus.newNode)) {
      // Denominator is a factor of numerator (e.g 4 / 2 -> 2)
      return new CancelOutStatus(reduceStatus.newNode, null, true);
    }

    // Sometimes the fraction reduces to a constant e.g. 6 / 2 -> 3,
    // in which case `newCoeff` (the denominator coefficient) should be null
    if (Node.Type.isConstant(reduceStatus.newNode)) {
      numerator = reduceStatus.newNode;
      denominator = null;
    }
    else {
      [numerator, denominator] = reduceStatus.newNode.args;
    }

    return new CancelOutStatus(numerator, denominator, true);
  }

  return new CancelOutStatus(numerator, denominator);
}

// Returns true if node is a multiplication of terms that can be cancelled out
// e.g. 2 * 6^y => true
// e.g. 2 + 6 => false
// e.g. (2 * 6^y) => true
// e.g. 2x^2 => false (polynomial terms are considered as one single term)
function isMultiplicationOfTerms(node) {
  if (Node.Type.isParenthesis(node)) {
    return isMultiplicationOfTerms(node.content);
  }
  return (Node.Type.isOperator(node, '*') &&
          !Node.PolynomialTerm.isPolynomialTerm(node));
}

function cancelCoeffs(numerator, denominator){
  const denominatorTerm = new Node.PolynomialTerm(denominator);
  const numeratorTerm = new Node.PolynomialTerm(numerator);

  const denominatorCoeff = denominatorTerm.getCoeffNode();
  const denominatorVariable = denominatorTerm.getSymbolNode();
  const denominatorExponent = denominatorTerm.getExponentNode();

  const numeratorCoeff = numeratorTerm.getCoeffNode();
  const numeratorVariable = numeratorTerm.getSymbolNode();
  const numeratorExponent = numeratorTerm.getExponentNode();

  // simplify a constant fraction (e.g 2 / 4)
  const frac = Node.Creator.operator('/', [numeratorCoeff, denominatorCoeff]);

  const reduceStatus = divideByGCD(frac);

  if (!reduceStatus.hasChanged()) {
    return new CancelOutStatus(numerator, denominator, false);
  }

  // Sometimes the fraction reduces to a constant e.g. 6 / 2 -> 3,
  // in which case the denominator coefficient should be null
  let newDenominatorCoeff = null;
  let newNumerator = null;
  if (Node.Type.isConstant(reduceStatus.newNode)) {
    newNumerator = Node.Creator.polynomialTerm(numeratorVariable, numeratorExponent, reduceStatus.newNode);
    newDenominatorCoeff = null;
  }
  else {
    newNumerator = Node.Creator.polynomialTerm(numeratorVariable, numeratorExponent, reduceStatus.newNode.args[0]);
    newDenominatorCoeff = reduceStatus.newNode.args[1];
  }
  const newDenominator = Node.Creator.polynomialTerm(denominatorVariable, denominatorExponent, newDenominatorCoeff);

  return new CancelOutStatus(newNumerator, newDenominator, true);
}

module.exports = cancelLikeTerms;

redpajama_set_name: RedPajamaGithub


text:
Tech ·Serena Williams
Tennis Star Serena Williams Joins This Tech Company's Board
BYLeena Rao
May 24, 2017, 12:30 PM UTC
Tennis superstar Serena Williams is making her first foray into the technology world by joining the board of online survey giant SurveyMonkey, the company announced on Wednesday.
While it may seem like an odd pairing, the match was made through Facebook chief operating officer and SurveyMonkey board member Sheryl Sandberg. Sandberg and her late husband, Dave Goldberg, SurveyMonkey's former CEO, were longtime friends of Williams.
SurveyMonkey CEO Zander Lurie was looking to add more outside board members, especially from other industries. The two hit it off at a dinner party at Sandberg's house last fall, and it started the conversation about how they could work together.
"Everything just came together easily," Williams said in an interview with Fortune.
Williams isn't a stranger to entrepreneurship. She has built a massive business around her tennis achievements, which includes winning 23 Grand Slam singles titles, the most in the open era. She's the world's highest paid female athlete, with $77.6 million in career prize money, more than twice as much as any other female athlete in history, according to Forbes. That doesn't include endorsement deals withNike and J.P. Morgan Chase. She also has a clothing business she promotes on TV shopping network HSN.
For Williams, joining SurveyMonkey's board is an opportunity to put to use her experiences as a player and entrepreneur. "I want to spread this knowledge," she said.
Get Data Sheet, Fortune's technology newsletter.
For Lurie and SurveyMonkey, Williams brings her marketing knowledge and keen expertise for competition. "Silicon Valley is super competitive and there's no winner like Serena in any sport in any decade," he said, calling Williams a "mentor." He added that Williams brings a different, outside voice to the boardroom, and that's a good thing for the company.
Founded in 1999, SurveyMonkey provides online surveys to companies to get feedback from customers, potential customers, and employees. Ninety-nine percent of Fortune 500 companies, including Kraft Foods, Facebook, and Samsung, use SurveyMonkey either internally or for marketing purposes. The company, which was last valued at $2 billion, has raised over $1 billion in debt and equity, and an initial public offering is possible in the future. SurveyMonkey competes against fellow online survey upstart Qualtrics.
For both Williams and Lurie, the appointment has a touch of emotion as they both lost a dear friend when Goldberg suddenly passed away in 2015. Williams said that Goldberg was a "loving and inspirational person" and "it's clear his legacy continues to live on at SurveyMonkey," where he served as CEO starting in 2009.
"He would give me a huge hug for bringing Serena Williams into the company he built," said Lurie.
Williams is currently on leave from professional tennis while awaiting the birth of her first child. She is engaged to Alexis Ohanian, the co-founder of online message board Reddit.
SurveyMonkey also announced that Intuit CEO Brad Smith would also join its board.

redpajama_set_name: RedPajamaCommonCrawl


text:
Tag: corporotocracy
The AP — Whorin' it up as always! Got good insurance? Then you're the same as a welfare queen.
By Inky99 in Media
The AP continues its right-wing propagandistic ways, this time asking one of those "hypothetical" questions that the right wing loves to throw out there, you know, the "Is Obama really a Muslim", or "Is Bill Clinton guilty of rape?" or whatever, you know the drill, it's something anyone can do, it's the classic "when did you stop beating your wife?" technique, but nobody does but the right-wing in this country because, well, nobody owns the media in this countyry except the right wing corporate bastards, and the AP is their clearinghouse for this shit.
So today, thanks to EK's afternoon news digest here, I am presented with this gem:
Health reform: Is tax on 'Cadillac' plans fair?
associated press, corporotocracy, corruption, health care reform, Propaganda
The Scam that is Big Pharma, Swine Flu, and You
By Inky99 in Health Care
Gee, it's kind of funny how this has been somewhat under the radar as far as the U.S. corporate media goes:
Pfizer Agrees to Pay Largest Healthcare Fraud Penalty in History
Yup, you read that right. Big Pharma, which is personified by the Bigger-Than-Big Pharma company known as Pfizer, is guilty as sin of defrauding Americans in regards to their health. This isn't just stealing money, this is fucking with people's HEALTH.
US drugmaker Pfizer has agreed to pay $2.3bn (£1.4bn) in the largest healthcare fraud settlement in the history of the Department of Justice.
It comes after the firm was found to have illegally promoted four drugs for uses which had not been approved by medical regulators.
A subsidiary of the firm pleaded guilty to misbranding drugs "with the intent to defraud or mislead".
US officials said Pfizer would have to enter a corporate integrity agreement.
That last bit just about made me spit my coffee across the screen. A "corporate integrity agreement"? WTF is THAT? I know, it's a training program that teaches you how not to get caught. You buy the workbooks from Neil Bush's company, you know it's sort of a "No Corporation Left Behind" type of thing.
These are the people Obama met with behind closed doors. These are the people promising us "health care".
More importantly, these are the people who want to mass-vaccinate us this fall for this "swine flu" swindle.
Now check this out. Are you sitting down?
WHO Admits to Releasing Pandemic Virus into Population via 'Mock-Up' Vaccines
Yes, the World Health Organization is admitting to allowing European researchers to releasing "mock up" vaccines which contain viruses which people haven't been exposed to people in a while, in order to "speed up" the regulatory process for the vaccines.
"Speed up the regulatory process" = "making money, lots of it, quicker".
Big Pharma, corporotocracy, fraud, swine flu
Bush's third term? You're living it
By Inky99
I just have to pass this along, from the Asia Times:
It sounds like the plot for the latest summer horror movie. Imagine, for a moment, that George W Bush had been allowed a third term as president, had run and had won or stolen it, and that we were all now living (and dying) through it. With the Democrats in control of Congress but Bush still in the Oval Office, the media would certainly be talking endlessly about a mandate for bipartisanship and the importance of taking into account the concerns of Republicans. Can't you just picture it?
There's Dubya now, still rewriting laws via signing statements. Still creating and destroying laws with executive orders. And still violating laws at his whim. Imagine Bush continuing his policy of extraordinary rendition, sending prisoners off to other countries with grim interrogation reputations to be held and tortured. I can even picture him formalizing his policy of preventive detention, sprucing it up with some "due process" even as he permanently removes habeas corpus from our culture.
I picture this demonic president still swearing he doesn't torture, still insisting that he wants to close Guantanamo, but assuring his subordinates that the commander-in-chief has the power to torture "if needed", and maintaining a prison at Bagram air base in Afghanistan that makes Guantanamo look like summer camp. I can imagine him continuing to keep secret his warrantless spying programs while protecting the corporations and government officials involved.
If Bush were in his third term, we would already have seen him propose, yet again, the largest military budget in the history of the world. We might well have seen him pretend he was including war funding in the standard budget, and then claim that one final supplemental war budget was still needed, immediately after which he would surely announce that yet another war supplemental bill would be needed down the road. And of course, he would have held onto his Secretary of Defense from his second term, Robert Gates, to run the Pentagon, keep our ongoing wars rolling along, and oversee the better part of our public budget.
Bush would undoubtedly be following through on the agreement he signed with Iraqi Prime Minister Nuri al-Maliki for all US troops to leave Iraq by the end of 2011 (except where he chose not to follow through). His generals would, in the meantime, be leaking word that the United States never intended to actually leave. He'd surely be maintaining current levels of troops in Iraq, while sending thousands more troops to Afghanistan and talking about a new "surge" there. He'd probably also be escalating the campaign he launched late in his second term to use drone aircraft to illegally and repeatedly strike into Pakistan's tribal borderlands with Afghanistan.
If Bush were still "the decider" he'd be employing mercenaries like Blackwater and propagandists like the Rendon Group and he might even be expanding the number of private security contractors in Afghanistan. In fact, the whole executive branch would be packed with disreputable corporate executive types. You'd have somebody like John ("May I torture this one some more, please?") Rizzo still serving, at least for a while, as general counsel at the Central Intelligence Agency (CIA).
The White House and Justice Department would be crawling with corporate cronies, people like John Brennan, Greg Craig, James Jones and Eric Holder. Most of the top prosecutors hired at the Department of Justice for political purposes would still be on the job. And political prisoners, like former Alabama governor Don Siegelman and former top Democratic donor Paul Minor would still be abandoned to their fate.
In addition, the bank bailouts Bush and his economic team initiated in his second term would still be rolling along – with a similar crowd of people running the show. Ben Bernanke, for instance, would certainly have been re-appointed to run the Fed. And Bush's third term would have guaranteed that there would be none of the monkeying around with the North American Free Trade Agreement that the Democrats proposed or promised in their losing presidential campaign. At this point in Bush's third term, no significant new effort would have begun to restore Katrina-decimated New Orleans either.
If the Democrats in Congress attempted to pass any set of needed reforms like, to take an example, new healthcare legislation, Bush, the third termer, would have held secret meetings in the White House with insurance and drug company executives to devise a means to turn such proposals to their advantage. And he would have refused to release the visitor logs so that the American public would have no way of knowing just whom he'd been talking to.
Bush, corporotocracy, fascism, Obama


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www.internetkeywords.org - Internet Plans For College Students. Connected to Internet Plans For College Students, Have you ever asked the question; what exactly is the internet? Most of you already know how to use the internet, but cannot really explain how it works. What Exactly is The Internet?
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If you need Internet for college students, get Frontier. Cable networks get congested in the evenings and slow your speeds, meaning you pay for more speed than you actually get. Frontier's network filters out your neighbors' traffic, giving you the speed you pay for and allowing you to trust your connection, even when the stakes are high—like while writing a timed essay or taking an exam worth 50% of your grade.. Do you own or are you thinking of purchasing a laptop? Do you have limited options for Internet service? Read this quick guide on understanding how wireless Internet service works and where to find it.
We live in a world where we need to be connected all the time. Making sure that you have fast speed internet is extremely important. The question is, what is the best way to get fast speed internet? This can be connected to Internet Plans For College Students.


"We want to expand the oilseed industry in Oklahoma and you can read that for this current time as being canola. We also cover sunflowers, but to a much lesser extent.
"We do have the checkoff. It's been in place for three years. We are gathering some money now to fund some research through the state university. And I'm very excited about some of the results they are finding and looking to the future.
Sholar said there are several variety trials underway and a five-day series of tours will begin April 9th to examine those test plots.
You can see today's conversation with Dr. Sholar by clicking on the play button in the video box below. CanolaTV is a service of PCOM, Producers Cooperative Oil Mill--click here to learn more about how they serve cotton and canola producers across the south.
Our YouTube channel has several dozen past episodes of CanolaTV, with a lot of great information about producing and marketing winter canola in the southern plains--click here to jump there.


After update OCI DWH the connect to Reporting Portal use always the CAMUSER Certificat.
We to this after the upgrade to 7.2.1 , when i look with the keytool our certifcates are available.
connect to https://server:9300/p2pd/servlet/dispatch use CAMUSER cert from Cognos.
I know that OCI 7.2.1 connected directly to cognos 9300, which may have nothing to do with the certs or at least ???
I don't think we have documented yet the procedure for 7.2.x certificate replacement. It will be different from OCI 7.[0-1].x because Jboss is no longer the front door to Cognos.
I found this makes my head hurt. I am pulling engineering into this.


text:
ProjectsProjects
EnvironmentEnvironment
Renewable Energy Developer
Pledging Climate Action
News & IssuesNews & Issues
Industry News & Viewpoints
Contact TGE
Competitive Projects, Compelling Results
The rapid growth of Tri Global Energy mirrors that of renewable energy around the world.
Broad Industry Knowledge and Experience
Tri Global Energy's experience includes an established track record for developing and financing complex utility-scale renewable projects.
Utility-Scale Development with a Community Focus
Tri Global Energy's growth includes wind, solar and energy storage projects in seven U.S. states.
Uniting Communities By Driving Economic Development
Projects developed by Tri Global Energy serve as a powerful force by uniting communities with a common cause and generating significant local economic development.
The Power of Corporate Partnerships
Increasingly, global corporate leaders are fulfilling their energy needs by sourcing power from renewable energy developers like Tri Global Energy.
A Proud Partnership
The landowners who partner with us recognize that successful projects play a significant role by helping them maintain agriculturally oriented livelihoods.
TGE Projects Are Investments in Towns, School Districts and Counties Where They Are Located
Tri Global Energy strives to be a committed partner in the communities where our projects are located.
Green Power Is Clean and Sustainable
The best, cleanest way to meet our energy needs is through renewable energy resources like wind and solar.
Benefits Impossible to Ignore
We do not pay for the wind or the sun. Environmentally, these energy resources do not pollute, and they use no water.
Fossil Fuels: The Core of the Climate Change Crisis
Fossil fuels are at the core of the climate crisis. We have to change that in order to make a significant impact on environment.
The Power of Tri Global Energy
Our commitment is to the development of renewable energy sources that are clean and sustainable.
Tri Global Energy is led by a team of individuals with world-class skills and experience.
Leadership Team Focuses on Core Values
Our experienced and dedicated team share the vision of enabling energy for communities we serve at an affordable cost.
Tri Global Energy Launches
The U.S. private sector, with its history of innovation and ingenuity, is committed to stepping up and doing its part in taking on climate action.
Access company news.
Gain perspective on energy issues.
Research company and industry information.
Contact Tri Global Energy
Make the move to Tri Global Energy
Consider a future in renewable energy.
Print | Share
News from Tri Global Energy
Tri Global Energy and Leeward Renewable Energy Finalize Deal for Indiana Renewable Energy Projects
DALLAS (June 2, 2021) - Tri Global Energy, a leading originator and developer of utility-scale renewable energy projects, has announced an agreement to sell two renewable energy projects – a wind and a solar project -- in Blackford County, Indiana to Leeward Renewable Energy, a premier owner/operator with a portfolio of approximately 2,000 MW of generating capacity from renewable sources.
Tri Global Energy's Chairman and CEO, John Billingsley, notes that the two projects have the potential to materially add to the renewable energy infrastructure in the region. "Tri Global Energy continues to drive the energy transition with renewable projects like these in Blackford County. We look forward to working cooperatively with representatives of the county, our participating landowners and our partners to make this significant investment in the community."
Both projects were originated by Tri Global Energy (TGE) in 2019. Blackford Wind will be capable of delivering up to 200 MW and Blackford Solar will be capable of up to 150 MW. The projects combined are expected to produce enough energy to power more than 80,000 homes.
TGE and Leeward Renewable Energy will work with the county, state, and federal authorities to secure the requisite permits and bring the two projects into construction, with operations projected to commence as early as 2023.
"Projects of this scope demand world-class expertise and resources, and that's why we consider Leeward Renewable Energy an outstanding partner going forward," Billingsley said.
This is the second deal between Tri Global Energy and Leeward Renewable Energy. The two companies announced a transaction involving two of Tri Global Energy's original Indiana projects in White County (180 MW Hoosier Line Wind and 400 MW Honey Creek Solar) in April.
"The acquisition of these quality projects is a great complement to Leeward's growing portfolio of high-quality wind and solar assets. Leeward is dedicated to responsible energy development, while also providing economic benefits and clean, affordable power to the local community," said Andrew Flanagan, Chief Development Officer of Leeward. "Tri Global Energy is a great partner and we look forward to continuing our strong relationship in the future."
Great Bay Renewables, a joint venture company between certain funds managed by affiliates of Apollo Global Management, Inc. and Altius Renewable Royalties Corp. (TSX: ARR), is providing royalty financing in support of Tri Global Energy completing and funding this project development through the start of construction.
About Tri Global Energy
Tri Global Energy is a leading, privately held, national renewable energy company. We are developers of sustainable energy with a mission to improve communities through local economic advancement generated by originating and commercializing renewable energy and storage projects. TGE has wind, solar and energy storage projects in Texas, Nebraska, Illinois, Indiana, Pennsylvania and Virginia. The company's headquarters is in Dallas with regional development offices in Lubbock, Texas; El Paso and Forreston, Illinois; and Reynolds and Hartford City, Indiana. For more information, visit www.triglobalenergy.com.
Have questions about Tri Global Energy? Interested in interviewing an executive? Please contact us with your requests.
Contact: Susie Lomelino
Email: media@triglobalenergy.com
Phone:972-707-3088 or 214-564-3285
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Submit a copy of your resignation letter that identifies the last active day of employment to your manager.
Vacation and sick time may NOT be used for your last day in the office. You must be present on your last day of work with DePaul.
Work with you manager to set up an auto-reply on your DePaul email to let people know you are leaving DePaul, and who to contact in the future if they need anything.
Turn in all university owned equipment such as cell phones, iPad, laptop, keys, ProCard, etc.
Don't forget to update your demographic information in Campus Connect.
We would very much appreciate your honest feedback on the DePaul Human Resources Exit Survey. Your feedback is vitally important to assist us in analyzing the root causes of turnover and retention. It is also essential in helping us to improve DePaul's status as an employer of choice. The survey takes approximately 10 minutes to complete. Your responses will be treated confidentially and (will not become part of your personnel file). Any data from the exit survey that we share with management will be consolidated with other exit feedback to protect the anonymity of individual responses. Thank you for your cooperation!
Reviews the Manager Termination Checklist and performs the necessary transition tasks to prepare for the employee's departure.
Consults with Employee Engagement & Equal Employment Opportunity representative to discuss any outstanding issues or concerns.
Processes the termination request in PeopleSoft. See Termination Request Step-by-Step Guide.


Polly M. Law's "The Word Project"
"The Word Project: Odd & Obscure Words- Illustrated" began life as an email folder full of wonderful words that had come into my inbox via Anu Garg's "A Word A Day" service. I had deleted about half of the words outright because I already knew them; then about half of the remainder because they just weren't that interesting. But the words I did keep were delightful, quirky and expanded my world. In 2002 I got the idea to illustrate the words with my bricolage art. Huzzah! The Word Project was born. I have since cast my word net farther afield and the Word Project is all the richer for it.
So, I published it myself. With the generous support of a wonderful group of kikcstarter.com backers, the book "The Word Project: Odd & Obscure Words- Illustrated" is now thrust upon an unsuspecting world. You can purchase a copy for yourself on Amazon.
To see some sample pages from the book.
The latest Word Project shenanigans are posted on The Word Project FaceBook page.
To see my work beyond The Word Project, visit my regular site, Buttonwood Art, click here.


text:
Chancellor, Office of >
Browsing Chancellor, Office of by Issue Date
South Bend Mishawaka Campus Master Plan, 1966
Indiana University (Indiana University South Bend, 1966-03-15)
Master Plan for the South Bend Mishawaka Campus of Indiana University 1965-1975
Wolfson, Lester M. (Indiana University South Bend, 1966-08-15)
Report of Conference September 13, 1967
Johnson, Johnson & Roy (Indiana University South Bend, 1967-09-13)
Report of Call October 6, 1967
Indiana University at South Bend: a Guide for Future Physical Development
Johnson, Johnson & Roy (Indiana University South Bend, 1968)
Indiana University at South Bend Annual Report 1972-73
Indiana University at South Bend (Indiana University South Bend, 1973)
IUSB Ten-Year Plan (1974-75 through 1983-84)
Indiana University South Bend (Indiana University South Bend, 1974-07-01)
Indiana University South Bend Long-Range Plan for Development
Indiana University South Bend (Indiana University South Bend, 1976)
Indiana University at South Bend: Toward the Future
Indiana University at South Bend Space Use / Master Plan
Cole Associates (Indiana University South Bend, 1980)
Program Statement: Library/Computer Center Project and Northside Hall Renovation, 1982
Bureau of Facilities (Indiana University South Bend, 1982-09)
IUSB....Toward the 21st Century
Office of the Chancellor (Indiana University South Bend, 1990-07)
IUSB Campus Plan: Setting the Standards for the Future
Indiana University at South Bend (Indiana University South Bend, 1990-10)
Indiana University at South Bend Annual Report 1990
Indiana University at South Bend. Office of External Affairs (Indiana University South Bend, 1991)
Indiana University South Bend Annual Report 1992
Indiana University South Bend. Office of External Affairs; Mathia, Ellen K. (Indiana University South Bend, 1993)


Despite his incredible design range over the years, irony and self-reference are not within [Armani's] imagination, so there will never be a jewel of a dress coming out from a huge beige hub of an Armani jacket. The great thing about watching a Lagerfeld couture show, and to an extent a Galliano, is that each dress and jacket is not only unique but also conveys with wit the history of the house. You get that much less with Mr. Armani.
In a letter to my editor earlier this month, [Armani] cites my "unnecessarily sarcastic comments" about his friends and family in a review of his last couture show and notes that I have "rarely found positive remarks" to make about his ready-to-wear collections, and then surmises that I have "an embedded preconception." He concludes: "Going forward therefore, I see no real merit in inviting Cathy Horyn to my women's shows."
I can't say yet whether I will write about Mr. Armani's clothes by viewing them online. Frankly, I would be much more excited if he unburdened himself of the whole system, closed down the shows, stopped with the backstage stroking sessions, and went directly over the Internet to the public.


text:
InformativeLatestTrending
Top 10 Most Admired Women Voted By Indians In YouGov Survey
Indians Named Kiran Bedi As The Most Admired Women
Ravi Dabas April 13, 2018
After winning the "Miss World" beauty pageant, Aishwarya Rai stepped inside Bollywood and reached the top. She earned a huge amount of popularity. After that, she gained international popularity by working in Hollywood movies.
6. Sushma Swaraj
Sushma Swaraj is a former Supreme Court lawyer who is currently working as a politician. Currently, she is the Minister of External Affairs of India.
5. Malala Yousafzai
Malala Yousafzai is a Pakistani activist for the female education. She is the youngest person to receive the Nobel Prize. She received the Nobel Peace Prize back in 2014.
Source:YouGov
10 Men In The World That Indians Admire The Most, List By YouGov
Match 8 IPL 2018: Umesh Yadav 3 Wickets Over And Ab Devilliers Half Century Gave RCB Their First Win


text:
Suspect in three rapes, in San Diego and Bonita, ordered to face trial
Seth Roberts allegedly assaulted his girlfriend as well as two strangers he befriended in 2018
By Pauline Repard
He gained their trust, then he raped them, a prosecutor said in a San Diego courtroom Tuesday.
Seth Roberts was 18 when he allegedly sexually assaulted his girlfriend at a Bonita campground and, within a month, also sexually assaulted a Brazilian au pair vacationing in La Jolla with her host family and an Otay Mesa woman he met at a bus stop, according to the District Attorney's Office.
All three women testified in San Diego Superior Court on Tuesday that in fall 2018, Roberts forced himself on them, threatening the two strangers at knifepoint.
After hearing from them and several police investigators, Judge Maureen Hallahan ordered Roberts, now 19, to be tried on eight felony counts of rape and other sex-crime charges, as well as allegations he used a knife in the attacks and had multiple victims.
He faces 190 years to life in prison if convicted of all counts and allegations, Deputy District Attorney Judy Taschner said.
"What stands out from these witnesses is how much guilt and shame these witnesses carry with them, for trusting this defendant," Taschner told the judge at the end of the daylong preliminary hearing.
Each of the women was referred to in court only by her initials.
Roberts' former girlfriend testified that she met him in Oklahoma through social media when she was 17, and they dated a little more than two months before she ran away from home with him. They hitched a ride to Los Angeles with a trucker in October 2018, and came to San Diego about a week later.
They were camping in Bonita on Oct. 18 when they got into an argument in their tent, she said. She said Roberts repeatedly pushed her down, then held her hands over her head and raped her while telling her he loved her and wanted "to start a family."
Then, she said, Roberts got dressed and left for work. She hired an Uber driver to take her to an Arizona truck stop. The driver, understanding something was wrong, called police when they reached their destination. Those officers forwarded a report to San Diego police.
On Nov. 17, 2018, Roberts started making small talk with a young woman as she walked along the shore in Pacific Beach, the woman testified through a Portuguese-speaking interpreter. The woman said she came to the United States from Brazil to work as an au pair, taking care of children in exchange for room and board. She said her host family brought her on a vacation to La Jolla.
She testified that the young man invited her to meet his roommate's Brazilian girlfriend at their house on Reed Avenue. But once they stepped into a side yard there, she said, he asked for a kiss, then held a knife to her throat and threatened to kill her if she didn't do what he said.
"I thought of my family, my dreams and how much I wanted to come here," she said. "I never thought that would happen to me."
She said he raped her, then "left as fast as he could." She said she didn't tell her host family right away because she was afraid of what they would think or do and that she might lose her job.
A detective testified that Roberts had not lived at the Reed Avenue house. Roberts was arrested on Dec. 5, 2018, at a home in Chula Vista.
His arrest came after the third woman was raped by a man she met at the Palomar Street bus stop in Chula Vista on Nov. 21, 2018. She testified that they began talking, then texted for a few days. He came to her Otay Mesa home late on Nov. 25 and, by asking to charge his phone, got into her bedroom.
The woman said when he tried to kiss her, she repulsed him, saying she had a boyfriend. She said the man, who called himself Seth, put a knife to her throat and raped her twice in the early morning. She didn't report it for a week, she said, because she wasn't sure she could call it rape since she had invited him in.
"I felt dirty; I felt used; I felt stupid, because I had let him into my house, my room," she testified.
Several investigators testified about verifying the date and location of each alleged assault, but they did not say how they identified Roberts as the suspect or where he was living at the time of his arrest.
CourtsLatestPublic SafetyBreaking
Pauline Repard
Deputies seek hit-run driver who left 81-year-old dead in San Marcos
The woman's body was found on Descanso Avenue early Friday
Ex-La Jolla Country Day teacher ordered to trial for sex with student
Jonathan Sammartino faces three felony charges and up to 4 years, 4 months in prison
Passenger sues airline, alleges employee stalked, harassed her
The suit alleges American Airline did nothing to stop an employee from gaining her contact information and sending her "sexually suggestive messages"
Motorcyclist dies after lane-splitting, crashing on SR-125 in La Mesa
The Lemon Grove man was going fast through stop-and-go traffic Tuesday morning, the CHP said
Court ruling jeopardizes county approval of two North County housing projects
Tentative rulings would put a hold on developments west of Escondido
Ex-producer's claims of racial harassment at One America News Network go to trial
Political commentator Jonathan Harris is suing talk show host Graham Ledger and Robert Herring, CEO of the network's parent company
Sentencing set Friday for man convicted of killing McStay family
Charles 'Chase' Merritt is set to be sentenced to either life in prison or death in the slaying of the McStay family of Fallbrook. The hearing starts at 9:30 a.m. Friday
Oneyka Okongwu scored 22 points and Elijah Weaver hit a clutch 3-pointer to force overtime as Southern California rallied from a 21-point second-half deficit to earn an 82-78 victory over Stanford
Bryce Hamilton came off the bench to put up 35 points and spark UNLV to a 99-78 win over New Mexico in a Mountain West Conference battle
Osaghae, Andrews lead FIU past Middle Tennessee 83-69
Osasumwen Osaghae and Devon Andrews scored 18 points apiece and Florida International breezed to an 83-69 victory over Middle Tennessee


text:
Merry Christmas from your friends at ST LAC
Merry Christmas from your friends at St. LAC.
We hope Santa left you a LS Long Block and set of R888R's under your tree.
St. LAC Exec Team.
News you can use and our annual survey too
Dear St Lac Members, I will start off with providing the link below to our annual 2022 club survey. Here it is:
https://tinyurl.com/2hcaejyd
Last year we had an excellent response rate so I am appealing to you all again to take a couple of minutes to answer the 12 questions as this anonymous survey format is our best tool for collecting your valuable feedback. More importantly, it's your chance to provide the executive with your own ideas for future events, improving the ones we have or just giving us a two thumbs up if you think we are doing a good job or the stink eye if we let you down.
As you will see from the survey/questionaire 2023 is looking like another very busy year for the club ; however, my gut instinct tells me it's going to be a year of belt tightening for many as inflation takes hold. Therefore, it's even more important than previous years that we take stock of your opinions as members. Being a gearhead is expensive and we know the club's costs will reflect these rising prices so it's very important that the club executive plans our events strategically and in proportion to our members' interests and attendance at events. Even if you don't take part in any of our regular motorsport activities we still want to hear from you so please don't be shy. Please do your part and click on the link.
In other news in early November the CASC- Ontario region held its annual AGM in Toronto. It was my first attendance on behalf of the Club and I was amazed by how many other club members showed up. In total I counted 9 St Lac members which was a surprising number considering there were approximately 50 people in attendance. You may not realize it but your $55.00 membership makes you part of the largest Motorsport organization in Canada with over 2000 members in Ontario spread among 30 regional clubs. The meeting highlighted similar challenges and wins facing St Lac but on a much larger scale. For example attendance at regional races weekends is shrinking with a total of 630 drivers, or on average 101 drivers per event. That low average means active race licence holders are attending just 1.9 events per year. St Lac's new VP, Pat Cyr, was nominated to take up the challenging role to improve these low numbers as the new drivers representative for the CASC GT classes for 2023, (way to go Pat). The Time Attack group saw a 25% increase in attendance with all their events selling out. Much like our own St Lap events. The Autocross division saw regional events dwindle but St Lac successfully hosted the only CASC sanctioned event in Picton this past August. This Picton event, as many of you know, is still the backbone of the club and our President, Dan Gray, will ensure this passion for autoslalom continues in 2023. The meeting covered a lot of ground including the awards ceremony where a stream of club members accepted their trophies and cheques. Pat and Mark Busscher were in attendance and Danny Corcoran was an honorable mention for their success in the GT Sprints classes where Pirrelli provided a prize fund of $30,000 to be spread among all the class winners- So well done guys. Lastly, I was amazed to find out there are two $12,500 scholarships offered to open wheel rookies in either the F1600 or formula V classes. So if you know any up and coming young racers here is a financial carrot worth noting.
Before wrapping up this email I want to emphasize the incredible news that St Lac turns 70 years old in the New Year . I find that quite humbling as the collective efforts of past members, their experiences and memories running back all the way to 1953 is something to celebrate. We also have several active members who have held memberships since the early 1960's so I am very proud to be able to be a part of this collective of volunteers. So when you answer question #9 consider the bigger picture of how becoming a volunteer affects those around you with positiveness and goodwill.
In closing I hope we can continue to grow the membership base among a younger generation of men and women who can be proud to be part of a grassroots motorsport. With this goal in mind we are in the planning stages of an introductory program designed to help young women enter motorsport through an online webinar/discussion forum to break down the hurdles towards becoming racers (Emily and Michelle we'll be counting on your input). What a great way to celebrate our 70th birthday.
All the best DC
ST LAC welcomes Pat Cyr as VP
ST LAC is pleased to announce that Pat Cyr has joined your Executive in the role of VP. Pat is a successful racer in a variety of categories associated with CASC and supporter of our many events.
Team Canada Scholarship says 'thank you' ST LAC
Team Canada is extremely proud and honoured to have amazing support from our sponsors back home. Getting us here is a lot of work behind the scenes and we couldn't do it without the sponsors we have on board this year!
A big thank you goes to ST LAC
We aim to make you proud!
We're wingin' it again
Hi Everybody. a couple of quick updates. As the subject line reads please note that our second fall/winter wing night is happening this Thursday the 24th in the rear room of the Oarsman in Kingston township from 6 to 9pm. We had a great turn out last month so I'm hoping for a repeat again this week.
I was hoping to have the club's annual survey out this past weekend but the unexpected snowfall put a damper on my office time as I scrambled around the place to combat mother nature. It will be out soon. The questions are written and it's just the final survey format that is required to be completed. I hope like last year we beat the average response to this type of questionnaire as the feedback is very helpful towards how we steer the club in 2023.
That's it for now, stay warm and dry . I for one am thankful we got off lightly compared to our southern neighbours. All the best DC
CASC-ON 2022 annual reports
You can access the 2022 CASC ON annual reports here.
Is it Back to the Future all over again for Deloreans?
October 25, 2022 Team-DNG
Kat DeLorean, daughter of legendary automotive engineer John DeLorean is following in her father's footsteps by building a new sports car. This historic endeavor will be filled with some of the top automotive minds in the industry, alongside a portion of the original team that helped create the first iconic DeLorean more than 40 years ago. The car will be named the Model-JZD in honor of John Zachary DeLorean. With DeLorean DNA, there is one place to build the car, the Motor City. DeLorean Next Generation Motors will begin assembly of the Model-JZD in Detroit, Michigan in January of 2023, with an expected unveiling by the end of the year.
Kat was integral on countless engineering projects with her father, including the next cutting edge sports car before his unexpected passing in 2005. Her engineering background, and direct involvement, make Kat the perfect successor to finish where John DeLorean left off. Kat is putting her father's final business plan to work creating a car company based on the principles John DeLorean believed in such as quality, safety, longevity, and affordability.
Kat begins the journey of rebuilding the DeLorean name and brand into the ethical company her father always wanted it to be. This is a new kind of mobility company the industry has never seen before, one that focuses on people and gives back to society. Besides just building cars and creating jobs, Kat plans to introduce an exciting new engineering program to public high schools that will provide a direct pathway to apprenticeships and engineering programs at major universities. She also plans to partner with other manufacturing companies to help meet some of the challenges faced by the automotive industry today.
source: Hagerty News, 10/28/22
ST LAC member William Ferguson: alive and kickin' it in the UK
2022 Formula Ford Festival UK; P1 in Progression Race After Being Sent Off In Heat Race
P1 in Progression Race!
My time in the UK has been amazing so far. It's also been very busy. After all our pre-Formula Ford Festival testing, which also included a race weekend at Castle Combe.
Club news October 26, 2022
Alan Pawling Celebration of Life
John Pawling's has invited club members to come and celebrate Alan's life and St Lac legacy on the 5th of November at the RCAF Hall at Norman Rogers airport. I have attached the invitation with the timing and details below.
I also want to thank all of you that showed up last Thursday for our club wing night as I didn't get a chance to say hello to all of you in person. It was a well attended evening out and I received several emails and comments saying how much individuals had enjoyed the evening out.. A shout out to Yoma and Victoria for coming all the way from Toronto , on a dark raining evening, to join us .
We are working on a variety of plans for next season which are highlighted by our investigation into running a CASC race weekend. This is no small endeavour and the club really needs the commitment of 20-25 individuals to run the race weekend. Based on our turn-out last week I strongly believe that we can do so. We'll be sending out our club survey in November and polling you all to ask for your help. So I hope the passion for racing is a s strong as our members' passion for chicken wings .
Hundai update
Lastly, I am able to report that a certain blue Hyundai hatchback is about to receive it's new windshield and will be back on track next season despite its topsy-turvy history.
That's it for now – wishing you all well.
-DC
Take your helmet to work day
WEAR YOUR HELMET TO WORK DAY PRESENTED BY HMS MOTORSPORT
THIS FRIDAY: GO TO WORK, SNAP A PIC, WIN A HELMET
Don't forget, our annual Wear Your Helmet to Work Day Presented by HMS Motorsport, the event that lets you show everyone just how much you love racing, is THIS FRIDAY!
So, wear your helmet to work on Friday, take a selfie (or have someone else take a staged photo — we're not picky), post it with #HelmetDay and tag the Grassroots Motorsports magazine official account. If chosen by our staff, your picture could win you a brand-new Schuberth SP1 helmet worth $1949. Not bad for a day at the office!
SEE FULL ENTRY DETAILS
We like social media, too:
We're on Instagram
How to join St LAC or renew your membership in 2023
The St Lawrence Automobile Club…
2023 License A & B Fee Reduction
Electronic Licensing is now active
2023 Bob McCallum Scholarship
Ice, Ice, Baby!
RIP Ken Block
Grab your wingman and go!
How I spent my Christmas Holidays
St LAC is proudly associated with
Canadian Assoc of Rallysport
RallySport Ontario
Subaru loyalty program


Home » EssayHelp » Welcome to varsity Assignment Helper! Supreme Assignment Producing Assistance in United states of america!
Welcome to varsity Assignment Helper! Supreme Assignment Producing Assistance in United states of america!
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