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Mon, 11 Feb 2019 02:50:08 GMT
4.4: Graphs of Logarithmic Functions
[ "article:topic", "General form for the translation of the parent logarithmic function", "license:ccby", "showtoc:no", "transcluded:yes", "authorname:openstaxjabramson" ]
Book: Precalculus (OpenStax)
Contributed by Jay Abramson
Principal Lecturer (School of Mathematical and Statistical Sciences) at Arizona State University
Sourced from OpenStax CNX
Finding the Domain of a Logarithmic Function
Graphing Logarithmic Functions
Graphing Transformations of Logarithmic Functions
Graphing a Horizontal Shift of \(f(x) = log_b(x)\)
Graphing a Vertical Shift of \(y = log_b(x)\)
Graphing Stretches and Compressions of \(y = log_b(x)\)
Graphing Reflections of \(f(x) = log_b(x)\)
Summarizing Translations of the Logarithmic Function
Skills to Develop
Identify the domain of a logarithmic function.
Graph logarithmic functions.
In Graphs of Exponential Functions, we saw how creating a graphical representation of an exponential model gives us another layer of insight for predicting future events. How do logarithmic graphs give us insight into situations? Because every logarithmic function is the inverse function of an exponential function, we can think of every output on a logarithmic graph as the input for the corresponding inverse exponential equation. In other words, logarithms give the cause for an effect.
To illustrate, suppose we invest \($2500\) in an account that offers an annual interest rate of \(5%\),compounded continuously. We already know that the balance in our account for any year \(t\) can be found with the equation \(A=2500e^{0.05t}\).
But what if we wanted to know the year for any balance? We would need to create a corresponding new function by interchanging the input and the output; thus we would need to create a logarithmic model for this situation. By graphing the model, we can see the output (year) for any input (account balance). For instance, what if we wanted to know how many years it would take for our initial investment to double? Figure \(\PageIndex{1}\) shows this point on the logarithmic graph.
Figure \(\PageIndex{1}\)
In this section we will discuss the values for which a logarithmic function is defined, and then turn our attention to graphing the family of logarithmic functions.
Before working with graphs, we will take a look at the domain (the set of input values) for which the logarithmic function is defined.
Recall that the exponential function is defined as \(y=b^x\) for any real number \(x\) and constant \(b>0\), \(b≠1\), where
The domain of \(y\) is \((−\infty,\infty)\).
The range of \(y\) is \((0,\infty)\).
In the last section we learned that the logarithmic function \(y={\log}_b(x)\) is the inverse of the exponential function \(y=b^x\). So, as inverse functions:
The domain of \(y={\log}_b(x)\) is the range of \(y=b^x\): \((0,\infty)\).
The range of \(y={\log}_b(x)\) is the domain of \(y=b^x\): \((−\infty,\infty)\).
Transformations of the parent function \(y={\log}_b(x)\) behave similarly to those of other functions. Just as with other parent functions, we can apply the four types of transformations—shifts, stretches, compressions, and reflections—to the parent function without loss of shape.
In Graphs of Exponential Functions we saw that certain transformations can change the range of \(y=b^x\). Similarly, applying transformations to the parent function \(y={\log}_b(x)\) can change the domain. When finding the domain of a logarithmic function, therefore, it is important to remember that the domain consists only of positive real numbers. That is, the argument of the logarithmic function must be greater than zero.
For example, consider \(f(x)={\log}_4(2x−3)\). This function is defined for any values of \(x\) such that the argument, in this case \(2x−3\),is greater than zero. To find the domain, we set up an inequality and solve for \(x\):
\[\begin{align*} 2x-3&> 0 \qquad \text {Show the argument greater than zero}\\ 2x&> 3 \qquad \text{Add 3} \\ x&> 1.5 \qquad \text{Divide by 2} \\ \end{align*}\]
In interval notation, the domain of \(f(x)={\log}_4(2x−3)\) is \((1.5,\infty)\).
How to: Given a logarithmic function, identify the domain
Set up an inequality showing the argument greater than zero.
Solve for \(x\).
Write the domain in interval notation.
Example \(\PageIndex{1}\): Identifying the Domain of a Logarithmic Shift
What is the domain of \(f(x)={\log}_2(x+3)\)?
The logarithmic function is defined only when the input is positive, so this function is defined when \(x+3>0\). Solving this inequality,
\[\begin{align*} x+3&> 0 \qquad \text{The input must be positive}\\ x&> -3 \qquad \text{Subtract 3} \end{align*}\]
The domain of \(f(x)={\log}_2(x+3)\) is \((−3,\infty)\).
What is the domain of \(f(x)={\log}_5(x−2)+1\)?
\((2,\infty)\)
Example \(\PageIndex{2}\): Identifying the Domain of a Logarithmic Shift and Reflection
What is the domain of \(f(x)=\log(5−2x)\)?
The logarithmic function is defined only when the input is positive, so this function is defined when \(5–2x>0\). Solving this inequality,
\[\begin{align*} 5-2x&> 0 \qquad \text{The input must be positive}\\ -2x&> -5 \qquad \text{Subtract 5}\\ x&< \dfrac{5}{2} \qquad \text{Divide by -2 and switch the inequality} \end{align*}\]
The domain of \(f(x)=\log(5−2x)\) is \(\left(–\infty,\dfrac{5}{2}\right)\).
What is the domain of \(f(x)=\log(x−5)+2\)?
Now that we have a feel for the set of values for which a logarithmic function is defined, we move on to graphing logarithmic functions. The family of logarithmic functions includes the parent function \(y={\log}_b(x)\) along with all its transformations: shifts, stretches, compressions, and reflections.
We begin with the parent function \(y={\log}_b(x)\). Because every logarithmic function of this form is the inverse of an exponential function with the form \(y=b^x\), their graphs will be reflections of each other across the line \(y=x\). To illustrate this, we can observe the relationship between the input and output values of \(y=2^x\) and its equivalent \(x={\log}_2(y)\) in Table \(\PageIndex{1}\).
Table \(\PageIndex{1}\)
\(x\)
\(−3\) \(−2\) \(−1\) \(0\) \(1\) \(2\) \(3\)
\(2^x=y\)
\(\dfrac{1}{8}\) \(\dfrac{1}{4}\) \(\dfrac{1}{2}\) \(1\) \(2\) \(4\) \(8\)
\({\log}_2(y)=x\)
Using the inputs and outputs from Table \(\PageIndex{1}\), we can build another table to observe the relationship between points on the graphs of the inverse functions \(f(x)=2^x\) and \(g(x)={\log}_2(x)\). See Table \(\PageIndex{2}\).
\(f(x)=2^x\)
\(\left(−3,\dfrac{1}{8}\right)\)
\((0,1)\)
\(g(x)={\log}_2(x)\)
\(\left(\dfrac{1}{8},−3\right)\)
As we'd expect, the \(x\)- and \(y\)-coordinates are reversed for the inverse functions. Figure \(\PageIndex{2}\) shows the graph of \(f\) and \(g\).
Figure \(\PageIndex{2}\): Notice that the graphs of \(f(x)=2^x\) and \(g(x)={\log}_2(x)\) are reflections about the line \(y=x\).
Observe the following from the graph:
\(f(x)=2^x\) has a \(y\)-intercept at \((0,1)\) and \(g(x)={\log}_2(x)\) has an \(x\)- intercept at \((1,0)\).
The domain of \(f(x)=2^x\), \((−\infty,\infty)\), is the same as the range of \(g(x)={\log}_2(x)\).
The range of \(f(x)=2^x\), \((0,\infty)\), is the same as the domain of \(g(x)={\log}_2(x)\).
Note: CHARACTERISTICS OF THE GRAPH OF THE PARENT FUNCTION, \(F(X) = LOG_B(X)\)
For any real number \(x\) and constant \(b>0\), \(b≠1\), we can see the following characteristics in the graph of \(f(x)={\log}_b(x)\):
one-to-one function
vertical asymptote: \(x=0\)
domain: \((0,\infty)\)
range: \((−\infty,\infty)\)
\(x\)-intercept: \((1,0)\) and key point \((b,1)\)
\(y\)-intercept: none
increasing if \(b>1\)
decreasing if \(0<b<1\)
See Figure \(\PageIndex{3}\).
Figure \(\PageIndex{4}\) shows how changing the base \(b\) in \(f(x)={\log}_b(x)\) can affect the graphs. Observe that the graphs compress vertically as the value of the base increases. (Note: recall that the function \(\ln(x)\) has base \(e≈2.718\).)
Figure \(\PageIndex{4}\): The graphs of three logarithmic functions with different bases, all greater than 1.
How to: Given a logarithmic function with the form \(f(x)={\log}_b(x)\), graph the function.
Draw and label the vertical asymptote, \(x=0\).
Plot the x-intercept, \((1,0)\).
Plot the key point \((b,1)\).
Draw a smooth curve through the points.
State the domain, \((0,\infty)\),the range, \((−\infty,\infty)\), and the vertical asymptote, \(x=0\).
Example \(\PageIndex{3}\): Graphing a Logarithmic Function with the Form \(f(x) = log_b(x)\)
Graph \(f(x)={\log}_5(x)\). State the domain, range, and asymptote.
Before graphing, identify the behavior and key points for the graph.
Since \(b=5\) is greater than one, we know the function is increasing. The left tail of the graph will approach the vertical asymptote \(x=0\), and the right tail will increase slowly without bound.
The \(x\)-intercept is \((1,0)\).
The key point \((5,1)\) is on the graph.
We draw and label the asymptote, plot and label the points, and draw a smooth curve through the points (see Figure \(\PageIndex{5}\)).
The domain is \((0,\infty)\), the range is \((−\infty,\infty)\), and the vertical asymptote is \(x=0\).
Graph \(f(x)={\log}_{\tfrac{1}{5}}(x)\). State the domain, range, and asymptote.
The domain is \((0,\infty)\), the range is \((−\infty,\infty)\), and the vertical asymptote is \(x=0\).
As we mentioned in the beginning of the section, transformations of logarithmic graphs behave similarly to those of other parent functions. We can shift, stretch, compress, and reflect the parent function \(y={\log}_b(x)\) without loss of shape.
When a constant \(c\) is added to the input of the parent function \(f(x)={\log}_b(x)\), the result is a horizontal shift \(c\) units in the opposite direction of the sign on \(c\). To visualize horizontal shifts, we can observe the general graph of the parent function \(f(x)={\log}_b(x)\) and for \(c>0\) alongside the shift left, \(g(x)={\log}_b(x+c)\), and the shift right, \(h(x)={\log}_b(x−c)\). See Figure \(\PageIndex{7}\).
Note: HORIZONTAL SHIFTS OF THE PARENT FUNCTION \(Y = LOG_B(X)\)
For any constant \(c\),the function \(f(x)={\log}_b(x+c)\)
shifts the parent function \(y={\log}_b(x)\) left \(c\) units if \(c>0\).
shifts the parent function \(y={\log}_b(x)\) right \(c\) units if \(c<0\).
has the vertical asymptote \(x=−c\).
has domain \((−c,\infty)\).
has range \((−\infty,\infty)\).
How to: Given a logarithmic function with the form \(f(x)={\log}_b(x+c)\), graph the translation.
Identify the horizontal shift:
If \(c>0\),shift the graph of \(f(x)={\log}_b(x)\) left \(c\) units.
If \(c<0\),shift the graph of \(f(x)={\log}_b(x)\) right \(c\) units.
Draw the vertical asymptote \(x=−c\).
Identify three key points from the parent function. Find new coordinates for the shifted functions by subtracting \(c\) from the \(x\) coordinate.
Label the three points.
The Domain is \((−c,\infty)\),the range is \((−\infty,\infty)\), and the vertical asymptote is \(x=−c\).
Example \(\PageIndex{4}\): Graphing a Horizontal Shift of the Parent Function \(y = log_b(x)\)
Sketch the horizontal shift \(f(x)={\log}_3(x−2)\) alongside its parent function. Include the key points and asymptotes on the graph. State the domain, range, and asymptote.
Since the function is \(f(x)={\log}_3(x−2)\), we notice \(x+(−2)=x–2\).
Thus \(c=−2\), so \(c<0\). This means we will shift the function \(f(x)={\log}_3(x)\) right 2 units.
The vertical asymptote is \(x=−(−2)\) or \(x=2\).
Consider the three key points from the parent function, \(\left(\dfrac{1}{3},−1\right)\), \((1,0)\),and \((3,1)\).
The new coordinates are found by adding \(2\) to the \(x\) coordinates.
Label the points \(\left(\dfrac{7}{3},−1\right)\), \((3,0)\),and \((5,1)\).
The domain is \((2,\infty)\),the range is \((−\infty,\infty)\),and the vertical asymptote is \(x=2\).
Sketch a graph of \(f(x)={\log}_3(x+4)\) alongside its parent function. Include the key points and asymptotes on the graph. State the domain, range, and asymptote.
The domain is \((−4,\infty)\),the range \((−\infty,\infty)\),and the asymptote \(x=–4\).
When a constant \(d\) is added to the parent function \(f(x)={\log}_b(x)\),the result is a vertical shift \(d\) units in the direction of the sign on \(d\). To visualize vertical shifts, we can observe the general graph of the parent function \(f(x)={\log}_b(x)\) alongside the shift up, \(g(x)={\log}_b(x)+d\) and the shift down, \(h(x)={\log}_b(x)−d\).See Figure \(\PageIndex{10}\).
Figure \(\PageIndex{10}\)
Note: VERTICAL SHIFTS OF THE PARENT FUNCTION \(Y = LOG_B(X)\)
For any constant \(d\),the function \(f(x)={\log}_b(x)+d\)
shifts the parent function \(y={\log}_b(x)\) up \(d\) units if \(d>0\).
shifts the parent function \(y={\log}_b(x)\) down \(d\) units if \(d<0\).
has the vertical asymptote \(x=0\).
has domain \((0,\infty)\).
How to: Given a logarithmic function with the form \(f(x)={\log}_b(x)+d\), graph the translation.
Identify the vertical shift:
If \(d>0\), shift the graph of \(f(x)={\log}_b(x)\) up \(d\) units.
If \(d<0\), shift the graph of \(f(x)={\log}_b(x)\) down \(d\) units.
Draw the vertical asymptote \(x=0\).
Identify three key points from the parent function. Find new coordinates for the shifted functions by adding \(d\) to the \(y\) coordinate.
The domain is \((0,\infty)\), the range is \((−\infty,\infty)\),and the vertical asymptote is \(x=0\).
Example \(\PageIndex{5}\): Graphing a Vertical Shift of the Parent Function \(y = log_b(x)\)
Sketch a graph of \(f(x)={\log}_3(x)−2\) alongside its parent function. Include the key points and asymptote on the graph. State the domain, range, and asymptote.
Since the function is \(f(x)={\log}_3(x)−2\),we will notice \(d=–2\). Thus \(d<0\).
This means we will shift the function \(f(x)={\log}_3(x)\) down \(2\) units.
The vertical asymptote is \(x=0\).
The new coordinates are found by subtracting \(2\) from the y coordinates.
Label the points \(\left(\dfrac{1}{3},−3\right)\), \((1,−2)\), and \((3,−1)\).
The domain is \((0,\infty)\),the range is \((−\infty,\infty)\), and the vertical asymptote is \(x=0\).
The domain is \((0,\infty)\),the range is \((−\infty,\infty)\),and the vertical asymptote is \(x=0\).
Sketch a graph of \(f(x)={\log}_2(x)+2\) alongside its parent function. Include the key points and asymptote on the graph. State the domain, range, and asymptote.
The domain is \((0,\infty)\),the range is \((−\infty,\infty)\), and the vertical asymptote is \(x=0\).
When the parent function \(f(x)={\log}_b(x)\) is multiplied by a constant \(a>0\), the result is a vertical stretch or compression of the original graph. To visualize stretches and compressions, we set \(a>1\) and observe the general graph of the parent function \(f(x)={\log}_b(x)\) alongside the vertical stretch, \(g(x)=a{\log}_b(x)\) and the vertical compression, \(h(x)=\dfrac{1}{a}{\log}_b(x)\).See Figure \(\PageIndex{13}\).
Note: VERTICAL STRETCHES AND COMPRESSIONS OF THE PARENT FUNCTION \(Y = LOG_B(X)\)
For any constant \(a>1\),the function \(f(x)=a{\log}_b(x)\)
stretches the parent function \(y={\log}_b(x)\) vertically by a factor of \(a\) if \(a>1\).
compresses the parent function \(y={\log}_b(x)\) vertically by a factor of \(a\) if \(0<a<1\).
has the vertical asymptote \(x=0\).
has the \(x\)-intercept \((1,0)\).
has domain \((0,\infty)\).
How to: Given a logarithmic function with the form \(f(x)=a{\log}_b(x)\), \(a>0\),graph the translation.
Identify the vertical stretch or compressions:
If \(|a|>1\), the graph of \(f(x)={\log}_b(x)\) is stretched by a factor of \(a\) units.
If \(|a|<1\), the graph of \(f(x)={\log}_b(x)\) is compressed by a factor of \(a\) units.
Draw the vertical asymptote \(x=0\).
Identify three key points from the parent function. Find new coordinates for the shifted functions by multiplying they y coordinates by \(a\).
Example \(\PageIndex{6}\): Graphing a Stretch or Compression of the Parent Function \(y = log_b(x)\)
Sketch a graph of \(f(x)=2{\log}_4(x)\) alongside its parent function. Include the key points and asymptote on the graph. State the domain, range, and asymptote.
Since the function is \(f(x)=2{\log}_4(x)\),we will notice \(a=2\).
This means we will stretch the function \(f(x)={\log}_4(x)\) by a factor of \(2\).
Consider the three key points from the parent function, \(\left(\dfrac{1}{4},−1\right)\), \((1,0)\), and \((4,1)\).
The new coordinates are found by multiplying the \(y\) coordinates by \(2\).
Label the points \(\left(\dfrac{1}{4},−2\right)\), \((1,0)\), and \((4,2)\).
The domain is \((0, \infty)\), the range is \((−\infty,\infty)\), and the vertical asymptote is \(x=0\). See Figure \(\PageIndex{14}\).
Sketch a graph of \(f(x)=\dfrac{1}{2}{\log}_4(x)\) alongside its parent function. Include the key points and asymptote on the graph. State the domain, range, and asymptote.
Example \(\PageIndex{7}\): Combining a Shift and a Stretch
Sketch a graph of \(f(x)=5{\log}(x+2)\). State the domain, range, and asymptote.
Remember: what happens inside parentheses happens first. First, we move the graph left \(2\) units, then stretch the function vertically by a factor of \(5\), as in Figure \(\PageIndex{16}\). The vertical asymptote will be shifted to \(x=−2\). The \(x\)-intercept will be \((−1,0)\). The domain will be \((−2,\infty)\). Two points will help give the shape of the graph: \((−1,0)\) and \((8,5)\). We chose \(x=8\) as the x-coordinate of one point to graph because when \(x=8\), \(x+2=10\), the base of the common logarithm.
The domain is \((−2,\infty)\), the range is \((−\infty,\infty)\),and the vertical asymptote is \(x=−2\).
Sketch a graph of the function \(f(x)=3{\log}(x−2)+1\). State the domain, range, and asymptote.
When the parent function \(f(x)={\log}_b(x)\) is multiplied by \(−1\),the result is a reflection about the \(x\)-axis. When the input is multiplied by \(−1\),the result is a reflection about the \(y\)-axis. To visualize reflections, we restrict \(b>1\), and observe the general graph of the parent function \(f(x)={\log}_b(x)\) alongside the reflection about the \(x\)-axis, \(g(x)=−{\log}_b(x)\) and the reflection about the \(y\)-axis, \(h(x)={\log}_b(−x)\).
Note: REFLECTIONS OF THE PARENT FUNCTION \(Y = LOG_B(X)\)
The function \(f(x)=−{\log}_b(x)\)
reflects the parent function \(y={\log}_b(x)\) about the \(x\)-axis.
has domain, \((0,\infty)\), range, \((−\infty,\infty)\), and vertical asymptote, \(x=0\), which are unchanged from the parent function.
The function \(f(x)={\log}_b(−x)\)
reflects the parent function \(y={\log}_b(x)\) about the \(y\)-axis.
has domain \((−\infty,0)\).
has range, \((−\infty,\infty)\), and vertical asymptote, \(x=0\), which are unchanged from the parent function.
How to: Given a logarithmic function with the parent function \(f(x)={\log}_b(x)\), graph a translation.
If \(f(x)=−{\log}_b(x)\)
If \(f(x)={\log}_b(−x)\)
Draw the vertical asymptote, \(x=0\).
Plot the x-intercept, \((1,0)\).
Reflect the graph of the parent function \(f(x)={\log}_b(x)\) about the x-axis.
Reflect the graph of the parent function \(f(x)={\log}_b(x)\) about the y-axis.
State the domain, \((0,\infty)\), the range, \((−\infty,\infty)\), and the vertical asymptote \(x=0\).
State the domain, \((−\infty,0)\), the range, \((−\infty,\infty)\), and the vertical asymptote \(x=0\).
Example \(\PageIndex{8}\): Graphing a Reflection of a Logarithmic Function
Sketch a graph of \(f(x)=\log(−x)\) alongside its parent function. Include the key points and asymptote on the graph. State the domain, range, and asymptote.
Before graphing \(f(x)=log(−x)\), \(f(x)=log(−x)\),identify the behavior and key points for the graph.
Since \(b=10\) is greater than one, we know that the parent function is increasing. Since the input value is multiplied by \(−1\), \(f(x)\) is a reflection of the parent graph about the \(y\)-axis. Thus, \(f(x)=\log(−x)\) will be decreasing as \(x\) moves from negative infinity to zero, and the right tail of the graph will approach the vertical asymptote \(x=0\).
The \(x\)-intercept is \((−1,0)\).
We draw and label the asymptote, plot and label the points, and draw a smooth curve through the points.
The domain is \((−\infty,0)\), the range is \((−\infty,\infty)\), and the vertical asymptote is \(x=0\).
Graph \(f(x)=−\log(−x)\). State the domain, range, and asymptote.
The domain is \((−\infty,0)\),the range is \((−\infty,\infty)\),and the vertical asymptote is \(x=0\).
How to: Given a logarithmic equation, use a graphing calculator to approximate solutions.
Press [Y=]. Enter the given logarithm equation or equations as Y1= and, if needed, Y2=.
Press [GRAPH] to observe the graphs of the curves and use [WINDOW] to find an appropriate view of the graphs, including their point(s) of intersection.
To find the value of \(x\), we compute the point of intersection. Press [2ND] then [CALC]. Select "intersect" and press [ENTER] three times. The point of intersection gives the value of \(x\),for the point(s) of intersection.
Example \(\PageIndex{9}\): Approximating the Solution of a Logarithmic Equation
Solve \(4\ln(x)+1=−2\ln(x−1)\) graphically. Round to the nearest thousandth.
Press [Y=] and enter \(4\ln(x)+1\) next to Y1=. Then enter \(−2\ln(x−1)\) next to Y2=. For a window, use the values \(0\) to \(5\) for \(x\0 and \(–10\) to \(10\) for \(y\). Press [GRAPH]. The graphs should intersect somewhere a little to right of \(x=1\).
For a better approximation, press [2ND] then [CALC]. Select [5: intersect] and press [ENTER] three times. The x-coordinate of the point of intersection is displayed as \(1.3385297\). (Your answer may be different if you use a different window or use a different value for Guess?) So, to the nearest thousandth, \(x≈1.339\).
Solve \(5\log(x+2)=4−\log(x)\) graphically. Round to the nearest thousandth.
\(x≈3.049\)
Now that we have worked with each type of translation for the logarithmic function, we can summarize each in Table \(\PageIndex{4}\) to arrive at the general equation for translating exponential functions.
Translations of the Parent Function \(y={\log}_b(x)\)
Horizontally \(c\) units to the left
Vertically \(d\) units up
\(y={\log}_b(x+c)+d\)
Stretch and Compress
Stretch if \(|a|>1\)
Compression if \(|a|<1\)
\(y=a{\log}_b(x)\)
Reflect about the x-axis \(y=−{\log}_b(x)\)
Reflect about the y-axis \(y={\log}_b(−x)\)
General equation for all translations \(y=a{\log}_b(x+c)+d\)
Note: TRANSLATIONS OF LOGARITHMIC FUNCTIONS
All translations of the parent logarithmic function, \(y={\log}_b(x)\), have the form
\(f(x)=a{\log}_b(x+c)+d\)
where the parent function, \(y={\log}_b(x)\), \(b>1\),is
shifted vertically up \(d\) units.
shifted horizontally to the left \(c\) units.
stretched vertically by a factor of \(|a|\) if \(|a|>0\).
compressed vertically by a factor of \(|a|\) if \(0<|a|<1\).
reflected about the x-axis when \(a<0\).
For \(f(x)=\log(−x)\), the graph of the parent function is reflected about the y-axis.
Example \(\PageIndex{10}\): Finding the Vertical Asymptote of a Logarithm Graph
What is the vertical asymptote of \(f(x)=−2{\log}_3(x+4)+5\)?
The vertical asymptote is at \(x=−4\).
The coefficient, the base, and the upward translation do not affect the asymptote. The shift of the curve \(4\) units to the left shifts the vertical asymptote to\(x=−4\).
Exercise \(\PageIndex{10}\)
What is the vertical asymptote of \(f(x)=3+\ln(x−1)\)?
\(x=1\)
Example \(\PageIndex{11}\): Finding the Equation from a Graph
Find a possible equation for the common logarithmic function graphed in Figure \(\PageIndex{21}\).
This graph has a vertical asymptote at \(x=–2\) and has been vertically reflected. We do not know yet the vertical shift or the vertical stretch. We know so far that the equation will have form:
\(f(x)=−a\log(x+2)+k\)
It appears the graph passes through the points \((–1,1)\) and \((2,–1)\). Substituting \((–1,1)\),
\[\begin{align*} 1&= -a\log(-1+2)+k \qquad \text{Substitute} (-1,1)\\ 1&= -a\log(1)+k \qquad \text{Arithmetic}\\ 1&= k\log(1)\\ &= 0 \end{align*}\]
Next, substituting in \((2,–1)\),
\[\begin{align*} -1&= -a\log(2+2)+1 \qquad \text{Substitute} (2,-1)\\ -2&= -a\log(4) \qquad \text{Arithmetic}\\ a&= \dfrac{2}{\log(4)} \qquad \text{Solve for a} \end{align*}\]
This gives us the equation \(f(x)=–\dfrac{2}{\log(4)}\log(x+2)+1\).
We can verify this answer by comparing the function values in Table \(\PageIndex{5}\) with the points on the graph in Figure \(\PageIndex{21}\).
−1 0 1 2 3
\(f(x)\)
1 0 −0.58496 −1 −1.3219
−1.5850 −1.8074 −2 −2.1699 −2.3219
Give the equation of the natural logarithm graphed in Figure \(\PageIndex{22}\).
\(f(x)=2\ln(x+3)−1\)
Media: Is it possible to tell the domain and range and describe the end behavior of a function just by looking at the graph?
Yes, if we know the function is a general logarithmic function. For example, look at the graph in Figure \(\PageIndex{22}\). The graph approaches \(x=−3\) (or thereabouts) more and more closely, so \(x=−3\) is, or is very close to, the vertical asymptote. It approaches from the right, so the domain is all points to the right, \({x|x>−3}\). The range, as with all general logarithmic functions, is all real numbers. And we can see the end behavior because the graph goes down as it goes left and up as it goes right. The end behavior is that as \(x\rightarrow −3^+\), \(f(x)\rightarrow −\infty\) and as \(x\rightarrow \infty\), \(f(x)\rightarrow \infty\).
Access these online resources for additional instruction and practice with graphing logarithms.
Graph an Exponential Function and Logarithmic Function
Match Graphs with Exponential and Logarithmic Functions
Find the Domain of Logarithmic Functions
General Form for the Translation of the Parent Logarithmic Function \(f(x)={\log}_b(x)\) \(f(x)=a{\log}_b(x+c)+d\)
To find the domain of a logarithmic function, set up an inequality showing the argument greater than zero, and solve for \(x\). See Example \(\PageIndex{1}\) and Example \(\PageIndex{2}\)
The graph of the parent function \(f(x)={\log}_b(x)\) has an x-intercept at \((1,0)\),domain \((0,\infty)\),range \((−\infty,\infty)\),vertical asymptote \(x=0\),and
if \(b>1\),the function is increasing.
if \(0<b<1\), the function is decreasing.
See Example \(\PageIndex{3}\).
The equation \(f(x)={\log}_b(x+c)\) shifts the parent function \(y={\log}_b(x)\) horizontally
left \(c\) units if \(c>0\).
right \(c\) units if \(c<0\).
The equation \(f(x)={\log}_b(x)+d\) shifts the parent function \(y={\log}_b(x)\) vertically
up \(d\) units if \(d>0\).
down \(d\) units if \(d<0\).
For any constant \(a>0\), the equation \(f(x)=a{\log}_b(x)\)
stretches the parent function \(y={\log}_b(x)\) vertically by a factor of \(a\) if \(|a|>1\).
compresses the parent function \(y={\log}_b(x)\) vertically by a factor of \(a\) if \(|a|<\)1.
See Example \(\PageIndex{6}\) and Example \(\PageIndex{7}\).
When the parent function \(y={\log}_b(x)\) is multiplied by \(−1\), the result is a reflection about the x-axis. When the input is multiplied by \(−1\), the result is a reflection about the y-axis.
The equation \(f(x)=−{\log}_b(x)\) represents a reflection of the parent function about the x-axis.
The equation \(f(x)={\log}_b(−x)\) represents a reflection of the parent function about the y-axis.
A graphing calculator may be used to approximate solutions to some logarithmic equations See Example \(\PageIndex{9}\).
All translations of the logarithmic function can be summarized by the general equation \(f(x)=a{\log}_b(x+c)+d\). See Table \(\PageIndex{4}\).
Given an equation with the general form \(f(x)=a{\log}_b(x+c)+d\),we can identify the vertical asymptote \(x=−c\) for the transformation. See Example \(\PageIndex{10}\).
Using the general equation \(f(x)=a{\log}_b(x+c)+d\), we can write the equation of a logarithmic function given its graph. See Example \(\PageIndex{11}\).
Jay Abramson (Arizona State University) with contributing authors. Textbook content produced by OpenStax College is licensed under a Creative Commons Attribution License 4.0 license. Download for free at https://openstax.org/details/books/precalculus.
4.3: Logarithmic Functions
4.5: Logarithmic Properties
Jay Abramson
General form for the translation of the parent logarithmic function


text:
from __future__ import unicode_literals

from django.db import models, migrations

class Migration(migrations.Migration):

    dependencies = [
        ('tracker', '0006_auto_20150130_0139'),
    ]

    operations = [
        migrations.AlterField(
            model_name='client',
            name='company',
            field=models.CharField(max_length=128),
            preserve_default=True,
        ),
    ]

redpajama_set_name: RedPajamaGithub


Only half of the External Vice President of Statewide Affairs Winter special election voting threshold has been reached with less than a day left of voting.
As of Wednesday, four percent of registered undergraduate students, or 912 students, have voted in the election, according to Elections Board Chair John Paul Renteria.
Voting closes on Feb. 7 at 4 p.m. and at least eight percent of the student body must vote for the special election to be valid, according to Renteria.
The voting threshold had been lowered for this election to compensate for low voter turnout in the previous Fall Quarter 2018 External Vice President for Statewide Affairs (EVPSA) special election.
Initially, two students declared candidacy in the special election: Rachel Ng, a fourth-year biological sciences and global studies double major, and Richard Zierer, a fourth-year political science and English double major. However, Zierer dropped out of the race on Jan. 23, leaving Ng unopposed.
If the election meets the eight percent threshold by the deadline, Ng will only serve for approximately three months until the winner of the Spring Quarter 2019 election is sworn in.
If elected, Ng hopes to center her agenda around statewide affairs as it concerns sexual assault policy, common sense gun control and reproductive justice.
This is A.S.'s third attempt to elect an EVPSA since Spring Quarter 2018.
The Fall Quarter special election occurred due to the disqualification of Mayela Morales, a fifth-year global studies and Chicano and Chicana studies double major, in May.
Morales won the EVPSA position in April, but it was later discovered that she was not enrolled in any classes at UC Santa Barbara during the Spring Quarter, resulting in her subsequent disqualification.
Madeline Loudon, a third-year history of public policy major, was the sole declared candidate in the Fall Quarter special election. During that special election, however, the 16 percent voter threshold was not met and as a result, Loudon was not voted in.
A.S. Elections Board spent $50 on the Winter Quarter special election, Renteria said at the A.S. Senate meeting last Wednesday, Jan. 30.
A version of this article appeared on p. 4 of the Feb. 7, 2019 print edition of the Daily Nexus.
No one cares, except those self-important "politicians".
Why is this even published? No one remotely cares about student government and AS.


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The SE Spokane County Fair, held in Rockford, Washington, is an annual community celebration that began in 1943. This local fair has since grown to a three-day event that attracts exhibitors and fair-goers from Spokane County, Whitman County, and parts of Idaho.
We currently operate as a non-profit organization run completely by volunteers. Because of this, the fair relies greatly on monetary contributions and community helpers throughout the entire year, culminating with the three-day event in September. Because of the help received from you, the SE Spokane County Fair can continue to bring community members together for a fun, post-harvest celebration.
The SE Spokane County Fair is held each year to give youth, adults, and organizations a place to exhibit their skills, produce, and animals for educational purposes, comparison with their neighbors, and the enjoyment of the public.
Are you interested in becoming involved in the planning process of the next Southeast Spokane County Fair in Rockford, Washington? Please join us at our next meeting! Committee meetings typically take place on the first Monday of every month at 7pm; make sure to follow us on Facebook for the latest updates on meeting schedules.
For a list of department heads and their contact information, check out our Departmental Contacts page.
Copyright © 2019 SE Spokane County Fair - All Rights Reserved.


Below you will find links to a whole selection of basketball sites. Links to our sponsors and associates can also be found below. While browsing the sites below, please be aware that Dorset Storm Basketball Club is not responsible for external websites and therefore has no control over the content.


text:
Faculty of Health Sciences Symposium -Tackling systemic enablers of gender and sexual orientation-based violence (GSOBV) in Health Sciences: disclosure, interrogation and intervention
Date: Jan 6, 2022 | Department of Medical Imaging and Radiation Sciences (Radiography), Faculty of Health Sciences
UJ FHS SYMPOSIUM
# Tackling systemic enablers of gender and sexual orientation-based violence (GSOBV) in Health Sciences: disclosure, interrogation and intervention
The current scourge on gender based violence (GBV) in South Africa is a societal ill stemming from deep-seated intolerances and violence against females as well as gender and sexual minorities. The recent media reports on the spread of GBV to universities is cause for great concern as it suggests that perhaps university spaces are not as safe as presumed to be. The list of victims and survivors of GBV in South African universities continue to mount. Universities have an important role to play in combating GBV. The role mainly comprises two aspects: issues of safety and inclusivity. The major challenge universities face today is to determine measures needed to improve safety on campuses and residences, and to promote gender equality.
In grappling with this challenge, the department of Medical Imaging and Radiation Sciences (MIRS) on 27 September 2021 held a symposium on gender and sexual orientation-based violence (GSOBV). The title of the symposium was #Tackling systemic enablers of GSOBV in Health Sciences: disclosure, interrogation and intervention.
The purpose of the symposium was to initiate a dialogue led by students regarding their narratives on GSOBV within the health sciences domain. It was envisioned that the dialogue would generate insights for the Faculty of Health Sciences (FHS) to engage with issues of gender and sexuality as manifested in its programs, systems and processes.
The event was hosted via the Zoom meeting platform and students across the seven departments of the Faculty were invited to attend. Professor Craig Vincent-Lambert, the Vice-Dean of Teaching and Learning, gave the welcome address. Dr Riaan van de Venter, a researcher with a special interest in developing strategies to promote more inclusive environments for gender and sexual minorities, based at the Nelson Mandela University disclosed some key hidden enablers of gender and sexual orientation based inequalities inherent to health professions education. They stressed that these enablers require urgent attention and constitute a good starting point for Faculties of Health Sciences seeking to transform its programs, systems and processes. The student panel – Bontle Morulane, Lucia Mohale, Tanya Wagner and Clement Racheku – interrogated the enablers articulated by Dr van de Venter and proposed possible solutions. The panel comprised students from the departments of MIRS, Social work and Community Development, Chiropractic and Podiatry respectively. Mr Simiso Ntuli, Chairperson of the Transformation Committee FHS, moderated the panel discussion. In her closing remarks, Professor Shahana Rasool, a renowned activist on GBV, suggested interventions to mitigate GBV in particular.
Having lost a student to GBV in the university residence, Mrs Lynne Hazell, the head of the MIRS department, reiterated the importance of having a student voice leading the conversation on GSOBV. In her view, interventions to mitigate GSOBV in universities would not be effective unless they take into account the students' voices. When delivering the vote of thanks, Mrs Lindiwe Gumede, a lecturer in the MIRS department, expressed her gratitude for the insightful deliberations on GSOBV, and one of the series of dialogues yet to come.
It is with great pleasure to announce that Prof Saheem Khan, requested that the student input be submitted to her. This is a sign of our commitment of the FHS at UJ, towards the national fight against GSOBV by first transforming our spaces to become safe and all-inclusive.
Former Banyana Banyana player and alumna appointed Assistant Coach for…
The Football Club of the University of Johannesburg (UJ) continues
Tutu's exemplary life illuminated the path our leaders must follow…
Prof Tshilidzi Marwala is the Vice-Chancellor and Principal of the
Mandatory COVID-19 vaccination – Implementation Protocol for Staff
As previously communicated, the UJ Council has resolved that all campuses
Mandatory COVID-19 vaccination – Implementation Protocol for Students
Dear student/prospective student, As previously communicated, the UJ Council has
Harnessing technology to revolutionise agriculture and combat hunger and food…

redpajama_set_name: RedPajamaCommonCrawl


Eugene Grobbelaar was born in Durban, South Africa in 1979.
Eugene earned his Bachelor of Engineering in Electrical and Electronic Engineering at the University of Stellenbosch, South Africa, in 2001. Prior to joining SPEAG, Eugene worked on a variety of interesting and cutting-edge R&D projects, ranging from military to satellite communications systems.
Since joining SPEAG's R&D team in 2008, Eugene has filled multiple roles as a core team member in software development for electromagnetic and dielectric property characterization systems on numerous SPEAG products.


exactly, an entrepreneurial opportunity perhaps.
Or would market research say: to costly and no demand except this chilip...?
1. How about using coconut milk or soy milk or rice milk?
2. What does "ek do teen" mean? Which language is that?


It's an exciting time for the healthcare industry. The Patient Protection and Affordable Care Act, enacted in 2010, has served as a giant stone cast into the pool of healthcare, and its ripples are still being felt five years later.
Cost and accessibility are some of the main issues facing people on both sides of the equation – patients and providers alike. Fortunately, the years since the ACA was passed into law have seen significant technological development that some savvy practitioners are latching onto as a means of cementing telemedicine as the wave of the future for healthcare.
One group that can feel the financial and logistical strain of health care the hardest is families, especially those with small children. Juggling the responsibilities tied to caring for multiple sick children is hard enough, but when special care must be sought, it can be an additional financial burden.
This was the situation that the Caldera family of Coos Bay, Oregon, faced in 2014. When their 8-year-old son Ryan contracted influenza, he was just one of the many Caldera children wrestling with the ailment. However, Ryan's worsening symptoms were becoming worrying to his family and his doctors. As The Coos Bay World reported, he was admitted to Bay Area Hospital, but even under the care of medical professionals there, his symptoms were still troubling.
Ryan's family was faced with two options: They could either wait to see if his flu symptoms alleviated on their own, or they could transport him to Oregon Health & Science University in Portland to receive specialized care. Staring down the prospect of either uncertain results or a significant financial burden, the Caldera family was able to choose a third option – telemedicine.
With the family able to receive consultation and expert medical advice from OHSU pediatric specialists right in their local hospital, the Calderas were able to gain assurance that Ryan's treatment was on the right track without having to invest in a trip to Portland.
Developing technologies provides practitioners with tools that make telemedicine even easier.
Baystate Health in western Massachusetts is a nonprofit organization that has specialized in using telemedicine as a means of combating what can be referred to as "medical deserts." Although Massachusetts is not considered a rural state, they too face challenges of delivering health care to smaller communities outside of the urban environment.
In an area such as western Massachusetts, a number of physicians are required to travel what can be great distances to see patients scattered across a number of small communities. This creates challenges in scheduling appointments, and can lead to longer wait periods to see a physician. Not to mention, using a physician's time to travel when he or she could be delivering patient care can be a waste of resources. However, Baystate has been successful in meeting these challenges by using telemedicine. This system has enabled the clinic's 30 doctors to see more patients across a broader range, thanks to the accessibility and flexibility telemedicine technology provides. Doctors can now evaluate patients in real time without the expense and time investment required to travel.
Not only are clinics such as Baystate improving their efficacy through telemedicine, but there's a significant and positive impact on patients as well. In fact, as AMD Telemedicine noted, Baystate received 100 percent positive feedback from patients who were surveyed about their treatment experience.
"Many professionals believe that telemedicine is the natural progression of treatment."
While these stories are inspiring, it's important to note that they're not anomalies. In fact, as Time magazine reported, professionals within the medical field believe that telemedicine is the natural progression of treatment, thanks to a marriage of cost-consciousness and the development of emerging technology.
"There is this perfect storm of increased demand with the newly insured, a shortage of primary-care physicians and specialists, and a need to keep costs in control," Mario Gutierrez, executive director of the Center for Connected Health Policy, told TIME. "I think telehealth provides a real vehicle for doing that."


text:
Кэтлин Сибелиус (; урождённая Джиллиан, ; род. 15 мая 1948 года) — американский политик, с 2009 по 2014 год 21-й министр здравоохранения и социальных служб США. До этого дважды избиралась на пост губернатора Канзаса, с 2003 по 2009 год, став второй женщиной в истории на этом посту. В 2008 году выступала с речью от демократов при обращении президента к Конгрессу. Является почётным членом Ассоциации губернаторов-демократов.

Детство и семья
Сибелиус, урождённая Кэтлин Джиллиан, родилась и выросла в католической семье в Цинциннати, штат Огайо. Она посещала саммит дневных школ округа в Цинциннати и окончила Вашингтонский университет Троицы в со степенью бакалавра в политология. Позже она получила степень магистра государственного управления в Канзасском университете. Она переехала в Канзас в 1974 году, где работала в течение восьми лет в качестве представителя Законодательного органа Канзаса и восемь лет как комиссар по страховым вопросам до избрания губернатором.

Сибелиус является дочерью бывшего губернатора-демократа Огайо Джона Джиллиана и, таким образом, первой в паре отец-дочь губернатором в США после своего избрания. После прохождения универсального законодательства о заботе здоровья в палате представителей, она отметила другую связь отец-дочь: её отец был в палате представителей, когда закон о бесплатной медицинской помощи был принят в 1965 году.

Её муж Гари Сибелиус является федеральным чиновником суда и сыном бывшего представителя Палаты представителей США Кита Сибелиуса, от Республиканской партии. Они имеют двое сыновей. Она также посещает места своего детства и дом для отдыха, расположенный в Леланд, Мичиган, к северу от Трейверс-Сити, Мичиган. Фанатка джаза, Сибелиус с 2009 года имеет 30-летнюю непрерывную полосу ежегодно посещающих фестиваль Jazz Fest в Новом Орлеане.

Ранняя политическая карьера
Сибелиус занимала должность исполнительного директора и главного лоббиста Канзасской ассоциации судебных юристов (теперь Канзасская ассоциация правосудия) с 1977—1986 года. Она впервые была избрана в Канзасскую палату представителей в 1986 году. В 1994 году она покинула Палату представителей, чтобы баллотироваться на должность Комиссара по вопросам страхования и ошеломила политические прогнозы, выиграв — впервые демократ выиграл более чем за 10 лет. Она отказалась в принятии вклады компаний из страховой отрасли и заблокировала предлагаемое слияние компаний «Blue Cross Blue Shield Association», крупнейшего государственного медицинского страхования с индианской компанией. Решение Сибелиус ознаменовало, что первый раз корпорация отказала в попытках приобретения.

Губернаторство
Сибелиус была впервые избрана губернатором штата Канзас в 2002 году, переизбрана в 2006 году.

Выборы 2002 года и первый срок
Сибелиус победила республиканца Тима Шлимбергера на выборах 2002 года с результатом 53 % против 45 %. После победы на выборах Сибелиус вошла в 20 самых популярных губернаторов страны.

Примечания

Ссылки
 Secretary Kathleen Sebelius Official Health and Human Services Site
 Kathleen Sebelius for Governor  Official Campaign Site

Женщины-политики США
Губернаторы Канзаса
Кабинет Барака Обамы
Министры здравоохранения и социальных служб США
Члены Демократической партии США
Выпускники Канзасского университета
Выпускники Вашингтонского университета Тринити
Политики США XXI века
Члены Палаты представителей Канзаса

redpajama_set_name: RedPajamaWikipedia


James Ranson, The Master Wordsmith(TM), is a Wall-Street-Journal-bestselling editor, ghostwriter and book coach who has helped over 200 consultants, coaches, speakers and other thought leaders create high-quality books. Clients of his have gone on to sell thousands of books, receive book deals from publishing houses, and be featured in regional and national media outlets. In addition to his own clients, James is a writer and book doctor for Thanet House Books, and is on recommended professional lists for Scribe Media(formerly Book in a Box), My Word Publishing, BrightFlame Books and Authors Unite. His second book, Don't Write A Crappy Book!, will be published on October 1, 2018. A graduate of Carnegie Mellon University, James lives in Atlanta, GA, with his fiancée and a very needy cat.


A huge announcement out of the EA press conference as the company has secured the license for UFC which had been with THQ. The deal there was scheduled to run through 2018 but the troubles with the company financially – and their inability to grow the franchise – led them to (as now is known) sell the license to EA with UFC's approval. This despite Dana White's statements in the past that he would never work with EA.
EA Sports MMA was a good first effort with some fantastic online features and the company even had a sequel deep into development when Strikeforce was bought out by UFC parent company Zuffa. That essentially killed any chance of EA's series returning and sales wise their prospects were grim regardless. Now with UFC they have the biggest brand on the planet. More on this news to come later.


You have a WordPress blog. You've heard that Gatsby is all kinds of awesome. You want to switch. Well sit tight, this is gonna be a journey.
tl;dr - Moving content from WordPress to Gatsby will be painful. Consider starting a new blog on Gatsby instead. Or budget 1-2 days and get ready to dig in.
You've heard about Gatsby. Great. Do you understand the basics of how Gatsby handles data? Read our intro to data flow article if not. Read it now. The rest of this article will be much easier afterwards.
The first and biggest question. Where will your content live?
You could keep the content in WordPress. Gatsby can pull content from WordPress. There are some considerations. This would be a simple strategy.
Gatsby needs to know when your content changes. You need to trigger a rebuild on every change in WordPress. You could use a webhook plugin for that. If you use netlify to build your site, they support webhooks also.
Keeping content in WordPress is possible, but in most cases, not the best solution. Gatsby is all about static. When your content lives in git, your life will be easier.
You can export your WordPress content for jekyll. There's a good export plugin. Then you can use that jekyll formatted content in Gatsby. Magic.
The export process can be painful. You might need to make some changes. Your photos, videos, and other media might not work 100%. There's no simple, one click solution here. Unfortunately.
WordPress uses its own templating engine. Gatsby is built on React. You will need to build (or choose) a new theme for Gatsby. There is no simple way to use your WordPress theme in Gatsby.
Pick a Gatsby starter. This will save you a ton of time. Tweak the theme later.
Do you want to support comments? The simplest answer is no. They're mostly spam anyway!
If you do want to support comments, see our comments in Gatsby article. You will need to export and import your comments. This could be tricky.
Moving content from WordPress to Gatsby can be painful. There's no simple solution, no easy shortcuts. It would be much easier to start with a brand new blog. If you have a lot of content, or a long history, this might not make sense. Give the idea serious consideration. You might well decide later this would have been the smarter move!
WordPress is incredibly powerful. There are thousands of plugins available. Thousands of theme choices. The simpler you keep your blog, the easier the migration will be. Fancy image galleries, embedded rich media content, things like this will make the migration much harder.
WordPress is a pretty good CMS. Gatsby is a much better choice for a new project. But for an existing blog, with a lot of content, or complex content, you might find staying with WordPress is the smarter choice. At least for now. The process will get easier in time. Do you really need all of Gatsby's awesomeness today? Give it some thought.
Above all else, good luck!


text:
Home › Terrorism › Las Vegas Terror Attack
Law Enforcement Officials say that at least 58 people are dead and more than 500 are injured in what is now described as the worst mass shooting incident in recent US history. But officials say there is no evidence of any link to international terrorism. Despite this Daesh, also known as ISIS or ISIL, declares it is responsible. They also proclaimed that the shooter was a Daesh soldier who had recently converted. Police say there is no current evidence that this claim is valid.
Whatever you the reader may want to define as terrorism or not, I suggest this is a certain example of home-grown terrorism. The suspect, found dead in a 32 second floor hotel room where windows were broken out to provide shooting access, to a crowd of more than 20, 000 concert goers, clearly planned for the ensuing mayhem. The gunman, identified as 64 year old Stephen Paddock, had at least 10 rifles and ammunition in the room, including at least one machine gun. Acting on a search warrant, law enforcement also found more rifles and ammunition in Paddock's home. Paddock apparently killed himself before police broke into his hotel room.
In an attempt to discover more about the possible motive for the mass shooting by Paddock, police are interviewing a female, 62 year old Marylou Danley, believed to be a close associate of Paddock. She was located outside the country following the attack. Law enforcement officials have stated she is likely not connected to the attack. At this time of writing the investigation is continuing.
Home grown terrorism is the main plot feature of my second novel in the Sean-Guy O'Dwyer-Larriviere series of anti-terrorism thrillers. The working title is A Prairie Vendetta which finds a small band of disillusioned Métis young adults led by a murderous motorcycle gang member recently exiled from Montreal. He and Sean-Guy have a connection though Sean-Guy does not realize it when he first learns about the gang.
Home grown terror is a reality and the novel will be a warning tale about it. I'm still in writing mode for A Prairie Vendetta so I'll have to let you know sometime in the future, near future I hope, when it is ready for your reading. Until then…
Thanks for your support. Happy Reading everyone.
Ron Stotyn, PhD
About ronstotyn's northof49
I am a retired college professor and former broadcast journalist. I live in Vermont with my wife. I write near the shores of Lake Champlain. As an author I cast characters in the task of anti-terrorism efforts. The setting for my stories is Canada. My first novel is The Chechen's Revenge, a story of Sean-Guy O'Dwyer-Lariviere and his team of Canadian Anti-terrorism Service agents on the trail of a rebel Chechen, determined to create havoc and death on Toronto's Go Train system. The Chechen's Revenge is now in print and can be ordered online at https://mkt.com/northof49publishing.
‹ Terrorism in Our Backyard: Charlottesville, VA
Travesty in New York and Texas ›


Continental has become the first manufacturer to win summer, winter and all-season tyre tests in a single year from the UK's No1 selling weekly car magazine, Auto Express.
The AllSeasonContact™ has just made its UK test debut, surpassing rivals to take the top spot in the Auto Express all-season tyre test.
Tyres were put through a series of tests ranging from snow handling to performance in wet and dry conditions. Year on year, the Auto Express all-season test offers consumers a thorough overview of the market, helping tyre buyers make informed decisions for the safest and most assured tyres on sale.
The AllSeasonContact™, Continental's first all-season tyre for Europe, is ideally suited to the UK's milder winter climate. Taking into consideration the different tyre characteristics needed for varying weather conditions, the AllSeasonContact™ has combined elements of both Continental's premium summer and winter tyres to create the ideal tyre for all year round use.
Continuing the superior grip found on all Continental tyres, the AllSeasonContact™ features similar technology to that found in the equally award winning WinterContact™ TS 860, providing strong grip on snow-covered roads. Performance also perfectly compliments Continental's commitment to VisionZero, where road accidents become a thing of the past.
The tread design of the AllSeasonContact™ combines the effective aquaplaning characteristics of Continental's Winter tyres with the precision handling and short braking distances in dry conditions of their summer tyres – an essential requirement for tyres used all year round.
The AllSeasonContact™ is available in 46 sizes in the UK for 14 – 20 inch rims. The AllSeasonContact™ scores a B rating for both wet grip and rolling resistance and 72dB on the EU Tyre Label.


If you are having problems making your payments, it is important to contact us as soon as possible on 0300 500 6262. That way we can help you before the situation gets out of control. If your circumstances have changed you may be entitled to claim benefits, we can help support your application and form filling or suggest agencies who may be able to provide more specialist advice.
There are a number of independent agencies who can also support you and a list is provided below. Please note calls to some of the numbers below will be charged at a higher rate so check with your phone service provider and relevant organisation for exact costs.


text:
On one hand, that means that the ProTour, like the Dash,
is a well-equipped, fully capable road bike. However, on the
other hand, a closer look at the bike reveals some consid-
erable improvements in performance and equipment spec.
The differences easily explain and fully justify the $550 price
difference between the $2999.99 E3 Dash and the $3549.99
E3 Pro Tour. For a start, the Dash uses a 350-watt version of
the Currie Electro-Drive system as originally seen on the Izip
Peak. The Pro Tour uses a new, more compact Currie Electro-
Drive motor rated at 500 watts.
As with all e-bikes, the top speed is regulated, so the primary difference will be more power to deal with climbs, carrying cargo on the handy rack or battling pesky headwinds.
In addition to the added boost in power, the Pro Tour gets an upgrade to an air fork and Shimano M396 disc brakes instead of the Dash's M355s. There are many other material upgrades, but the other external change is the addition of a suspension seatpost.
{ IZIP E3 }
An Abus frame-mounted rear-wheel lock comes standard on the ProTour.
This 500-watt version of the Currie Electro-Drive is more compact than the 350-watt version. It adds a good deal of assist.


Here is a simple printed spool holder (print 2x) that uses skate bearings.
I printed the Single Track Spool Holder by Walter Hsiao. I loved the design, but it didn't work for smaller spools like Taulman Nylon comes on. So I modeled this up in solidworks based on his design as inspiration. I love all of Walters work. He has an elegant and simple design style that I wish I could replicated... he is truly talented.
I have the original model included here in Solidworks 2017, as well as stl, step, and fusion360.
I printed mine at 205C on the hotend in PLA on a CR-10 which I have been testing.


text:
using System;
using System.Collections.Generic;
using System.Linq;
using System.Text;
using System.Threading.Tasks;
using BuildCs.Targetting;

namespace BuildCs.Tracing
{
    public class StopTargetEvent : BuildEvent
    {
        public StopTargetEvent(ITargetExecution target)
        {
            Target = target;
        }

        public ITargetExecution Target { get; private set; }

        public override BuildEventType Type
        {
            get { return BuildEventType.StopTarget; }
        }
    }
}


text:
[lbo-talk] France's Socialist government readies rollback of labour code
Sun Aug 30 09:39:08 PDT 2015
Previous message: [lbo-talk] More polls show Syriza losing ground to New Democracy
Next message: [lbo-talk] Vice Chairman Stanley Fischer's remarks at Jackson Hole
France's Socialist Party is preparing a new offensive against long-established trade union and worker rights - the foremost "structural reform" being sought across the eurozone, but especially in France and Italy, the two largest economies in he currency union after Germany. In essence, European employers want the "flexibility" to replace full time unionized workers with temporary, part-time and cheaper labour, which requires dismantling the legislative and collective bargaining protection won by militant European trade unionists and their allies over generations.
Syriza's bowing to similar pressures for the rollback of union rights in Greece has evidently persuaded France's Socialist government that it now has the latitude and legitimacy to win acceptance from its party base to pursue a similar course. That's the kind of cross-border "contagion" European financiers, industrialists, and politicians like to see.
French prime minister vows to deepen economic reform Adam Thomson Financial Times August 30 2015
Manuel Valls, the French prime minister, has pledged to deepen the government's economic reforms, promising to "revise thoroughly" the country's labour laws to give more flexibility to employers and wage earners.
Speaking at his Socialist party's annual conference in the Atlantic port of La Rochelle, Mr Valls described France's existing work code as "so complex that it has become inefficient: curbed activity; wage earners who no longer know their rights".
Before flag-waving party faithful, Mr Valls said: "We have to give more latitude to employers, to wage earners and to their representatives so that they can decide for themselves."
Among other things, he said the reforms would mean "more flexibility for companies".
His comments, which wrapped up two days of debate among Socialist party members, will doubtless be warmly received by the country's private sector, which has long complained that labour regulations are too rigid.
The prime minister's remarks also come at a particularly testing time for President François Hollande's government, which is battling to reinvigorate a stubbornly sluggish economy and reduce unemployment, which remains at near-record highs.
In response, Mr Hollande has adopted more business-friendly proposals in an effort to get the economy going. But the tack has also deepened divisions on the left.
Days earlier, Emmanuel Macron, economy minister, had riled many party members as he appeared to criticise France's 35-hour week — a sacred cow for the left.
Speaking to France's Medef employers' federation, Mr Macron said the left in France had thought at one time that "politics was done against businesses, or at least without them". To rapturous cheers, he added: "It thought that France would do better by working less."
But the prime minister said the forthcoming reforms would not touch the 35-hour week.
"That debate is closed," said Mr Valls, who, according to one opinion poll on Sunday is ahead of Mr Hollande as the figure leftwing sympathisers would most like to see run as the Socialist candidate for the 2017 presidential election. "What interests me is not the past but the future."
In a long and wide-ranging speech that touched on Europe's migration crisis, terrorism and the environment, as France prepares to host the Paris climate summit in December, Mr Valls said the government would lower taxes next year.
Avoiding specific details, the Spanish-born prime minister said the government would propose a cut in income tax for households in the 2016 budget, to complement reductions that were already in place.
He said 9m middle-class and working-class households were already benefiting from reduced tax bills, which had meant, on average, savings of €300.
Mindful of regional elections at the end of this year — the last electoral contest before parties compete for the presidency in 2017 — Mr Valls urged Socialist party members to unite.
But he also warned the party that it had to be "inventive" and "adapt itself to the realities of the world".


The iconic skill of Son Goku. The Kame Hame Ha gathers the energy of the fighter in the palm of the hands to throw it against an enemy. You can use the theme for Chrome to have the Dragon Ball Super Goku launching his most famous attack.
One of the most interesting villains of the series up until now is Goku Black. He is a misteryous character that comes from the future who wants to destroy humankind. He has the looks and the power of Goku. Has he turned evil in the future for reasons unknown to us?
The elder son of Goku and Chichi is back to his former glory. Gohan was the one who defeated Cell, but he has never liked fighting so he stopped training. In Dragon Ball Super we can see him fighting in his top form once again, and we love him. You can customize your Chrome web browser with the best Gohan ever.
One of the new power levels of Dragon Ball Super is called Ultra Instinc. The rivals Goku and Vegeta reach these stage and they can be considered as powerful as gods. The theme showing of the two of them transformed will make your browser look epic.
This entry was posted in Themes and tagged Anime themes, Chrome themes, Dragon Ball Super themes by Juan Martínez (Google+). Bookmark the permalink.


text:
Film Intuition: Review Database
By Jen Johans. Over 2,500 Film, Streaming, Blu-ray, DVD, Book, and Soundtrack Reviews. Part of https://www.filmintuition.com
Movie Reviews: Happiest Season (2020) & Uncle Frank (2020)
'Tis the season of giving... and the season of needing a rest. The weeks between Thanksgiving all the way up through Hanukkah and/or Christmas and New Year's are often dubbed the happiest time of the year. But it's also undeniably the most stressful period of the calendar year as well. And this is particularly true for those of us returning to our childhood homes for the holidays as we come face-to-face with family, old friends, and all of the judgments and pressures that go along with sudden reunions with the people we were once closest to in life, the ones who know us the best, that is if they even know us at all.
Although there's a tendency to revert back to old patterns and behavior when surrounded by nostalgia, not too many of us are the same people today that we were in high school, and sometimes it's hard to make loved ones see you not for the child you were in the past but the adult you are today. And while this might be anything from annoying to awkward for a majority of heterosexuals, it can be absolutely terrifying and life-changing to LGBTQ adults who haven't come out to their family and/or friends as just the act of returning home to old wounds (and a place where you must push that part of you deep down), can be traumatic.
Fittingly, two brand new films releasing onto streaming platforms the day before Thanksgiving tackle the hopes and fears of coming out head-on, first in co-writer and director Clea DuVall's comedy "Happiest Season," which takes place during Christmas week, and the second, which is primarily set at a funeral nearly fifty years ago in writer-director Alan Ball's drama "Uncle Frank."
An earnest and affable lightweight comedy that – thanks to its dynamic cast of Kristen Stewart, Mackenzie Davis, Dan Levy, Mary Steenburgen, Aubrey Plaza, and Alison Brie – has quickly become one of the most anticipated holiday releases of 2020, "Happiest Season," plays like an overlong, sweet yet slightly stale sitcom.
Impulsively inviting her beloved partner Abby (Stewart) home for the holidays during a romantic evening out, it's only once they're in the car heading towards Harper's (Davis) family home that she confesses that she's actually never told her parents and two sisters that she's gay. Although initially shocked, Abby agrees to play the orphan roommate with no place to go since the charade will only last five days. Predictably, however, things get out of hand almost as soon as they arrive when Harper's parents (Steenburgen and Victor Garber) try reuniting her with her high school boyfriend (Jake McDorman), only for the women to bump into Harper's first-ever girlfriend (Plaza) less than five minutes later as well.
Cliched and largely laughless, as novel and (incredibly) welcome as it is to watch a gay-themed movie jump through the same formulaic hoops that we so often see in made-for-cable-television holiday romances this time of year, sadly, "Happiest Season" is a work to admire and politely smile through more than it is one to wholeheartedly enjoy. From a scene that finds Stewart literally stuck in a closet to another one that features her best friend, "Schitt's Creek" co-creator and star Dan Levy calling to ask where he could buy a lookalike fish to replace the one that we gather the inexperienced pet sitter has accidentally killed, a majority of the movie's jokes feel as tired as they do uninspired.
Daring to make Harper a flawed and selfish protagonist whom we discover will lie to anyone to conceal her true sexual identity, "Happiest Season" gets points for working in a startlingly sad backstory surrounding her relationship with Plaza's Riley, although their characters are shortchanged a vital conversation where they can truly clear the air.
Wrapping things up in a neat bow, even if there are a few other scenes and discussions between our main ensemble cast of characters that might've strengthened the film as something more human and true than it is a largely cookie-cutter, small screen style comedy, the actors are all terrific. Unfortunately, DuVall and co-writer/co-star Mary Holland's script, which leaves much to be desired, doesn't know how to use them properly. Nonetheless, a mildly pleasant holiday diversion that you can digest right along with your pumpkin pie, even if it isn't a new repeat-worthy holiday classic, hopefully, Hulu's "Happiest Season" will earn enough viewers that we'll see some stronger, funnier LGBTQ comedies in the years to come.
Less of a holiday-centric offering than it is an offering served up for viewers during the holidays on Amazon Prime, "Uncle Frank" is a heartfelt period drama from writer-director Alan Ball that, in addition to sharing the same theme of coming out to one's family that we saw in "Happiest Season," rivals DuVall's film in terms of its enviable, first-rate cast.
Led by the versatile, acclaimed "Master and Commander: The Far Side of the World," "The Da Vinci Code," and "Margin Call" actor Paul Bettany as the titular Uncle Frank, Ball's film is a who's who of scene-stealing character actors, including audience favorites Steve Zahn, Margo Martindale, and Judy Greer.
The apple of the eye of his niece Beth ("It" franchise and "Sharp Objects" star Sophia Lillis), Frank Bledsoe (Bettany) has traded his conservative, small-town South Carolina roots for New York where he works as an English professor at NYU in the late 1960s/early '70s. Following in his footsteps by attending NYU, Beth soon learns that although her uncle puts on a great show with a lesbian friend posing as his live-in girlfriend, he's actually been in a relationship with his sweet, funny Middle Eastern boyfriend Walid aka Wally (played by Peter Macdissi) for the past ten years.
Forced to return home for the funeral of his own disapproving father (Stephen Root), whom we deduce most likely knew the truth about his son's sexual orientation before anyone else, Frank drives Beth down to South Carolina. Determined to be there to support the love of his life because he knows just how much trauma will be waiting for him in the south, Wally trails behind the pair and soon joins them on the road trip, which becomes a journey into Frank's past.
A film that's as much about Frank's need to finally let the people he loves into that part of himself that he keeps hidden as it is about his need to forgive himself and make peace with a devastating turn of events in his past for which he still feels responsible, while "Happiest Season" addressed past transgressions too, this film is vastly more sincere overall. Though still bursting at the seams with cliches and contrivances that should be far beyond the otherwise amazingly talented Ball (whose explorations into human behavior made "Six Feet Under" one of HBO's best twenty-first-century shows), thanks to the conviction and pathos of its top-notch leads, "Uncle Frank" works much better than it should.
Hindered by a rushed final act that races through an emotional payoff that it doesn't fully earn, as wonderful as it always is to see Bettany in something new that pushes him beyond his work in the Marvel franchise, the real heart of "Uncle Frank" is in Peter Macdissi's performance as Wally. Elevating an otherwise stereotypical role as the tormented Frank's saintly boyfriend, Macdissi's magnetic, cheeky delivery of certain lines – such as when he lectures Beth that niceness is used by her family to hide things – immediately wins us over. Likewise, in just one scene where he calls his mother back in Saudi Arabia from a motel phone booth, which is contrasted by Frank's return back to the motel with Beth after a wake, we realize how much more interesting the film might've been if we'd been following not Frank but Wally all along.
Disappointingly, you can nearly set your watch to certain revelations that seem to hit at precisely the same intervals that most screenwriters well-versed in the Syd Field three-act structure will recognize. However, the film's tenderness and its message about the importance of acceptance and the way that we never fully get over the traumas that inadvertently shape us for better and/or worse still feels timely nearly fifty years after the film is set, as we watch this today in Trump's America.
Comparing the two films, which I watched back to back, "Uncle Frank" is a much more solid and substantive work than "Happiest Season," even if it isn't nearly as light, airy, and easily digestible as Clea DuVall's comedy. While both films fail to push much past the bar of average overall, they still feel well-timed to their pre-holiday release, especially this year when we especially need entertainment during the pandemic. Perhaps more willing than ever to look past their shortcomings amid 2020's wrath, hopefully, these films will find an audience in viewers who either relate to their characters' struggles to let others see them as they really are or are eager to celebrate their willingness to do as the Christmas carol says and make the yuletide (a bit more) gay. 'Tis the season, after all.
Text ©2020, Film Intuition, LLC; All Rights Reserved. https://www.filmintuition.com Unauthorized Reproduction or Publication Elsewhere is Strictly Prohibited and in violation of the Digital Millennium Copyright Act. Also, as an Amazon Associate, I earn from qualifying purchases made off my site through ad links. FTC Disclosure: Per standard professional practice, I may have received a review copy or screener link of this title to voluntarily decide to evaluate it for my readers, which had no impact whatsoever on whether or not it received a favorable or unfavorable critique. Cookies Notice: This site incorporates tools (including advertiser partners and widgets) that use cookies and may collect some personal information to display ads tailored to you etc. Please be advised that neither Film Intuition nor its site owner has any access to this data beyond general site statistics (geographical region etc.) as your privacy is our main concern.
Posted by Jen Johans
Labels: Kristen Stewart, Margo Martindale, Mary Steenburgen, Paul Bettany, Streaming, WIF
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text:
Q: Create a key handler for input element with React and TypeScript This should be extremely easy but apprently not.
In a standard HTML input element, I would like to perform and action if Enter is hit.
I am trying to learn TS and cannot figure out which type fits everything I need.
<input type="text" onChange={handleInput} />

const handleInput = (event: any) => {
  if (event.key === 'Enter') {
    console.log(event.target.value);
  };
};

*

*If event: InputEvent then I can't even call the function, because the event type is wholly incompatible.

*If event: ChangeEvent<HTMLInputEvent> then I can reach event.target.value, but an error says there is no key property, which is correct. In this case, the keystroke value is kept under event.nativeEvent.data. However, if I go for if (event.nativeEvent.data...) then an error says there is no data property, even though there clearly is:

// from the console
nativeEvent: InputEvent {isTrusted: true, data: "d"...)

*

*If event: KeyboardEvent then I get event.key but now event.target.value doesn't exist.

I would love to know two things:

*

*What is the correct type for this event?

*Where can I learn about the endless amount of types for these minor differences?

A: To listen for a key being pressed down you need onKeyDown, not onChange.
const handleEnter = (event: React.KeyboardEvent<HTMLInputElement>) => {
    if (event.key === "Enter") { ... }
}

<input onKeyDown={handleEnter} ... />

redpajama_set_name: RedPajamaStackExchange


A talc-free, sheer, loose powder that sets makeup, extending wear and imparting a matte finish to the skin.
This talc-free, loose setting powder instantly imparts a soft-focus, matte finish to the skin, extending wear and minimizing transfer without adding any color to the skin. Great for baking without looking chalky or ashy, the formula contains kaolin clay and oil-absorbing microspheres to minimize oil and improve the appearance of pores.
Find your Setting Powder shade by matching it to these Cover FX foundation shades: Cover FX Shades 0-40: Light Setting Powder, Cover FX Shades 50-85: Medium Setting Powder, or Cover FX Shades 90-125: Deep Setting Powder.
A convenient sifter minimizes mess and ensures less product waste.
-Dip a powder brush into the powder, tap of excess, and sweep the brush across the face to set makeup.
-You can also use a Beauty Blender or sponge to set or bake your foundation and concealer.
Mica, Silica, Dimethicone/Vinyl Dimethicone Crosspolymer, Nylon 10-10, Isostearyl Neopentanoate, Camellia Sinensis Leaf Powder, Dehydroacetic Acid, Tocopherol, Tetrahexyldecyl Ascorbate, Phytosphingosine, Ethyl Linoleate, Ethyl Linolenate, Ethyl Oleate. May Contain/Peut Contenir: Iron Oxides (CI 77491, CI 77492, CI 77499).


Although it is in no way as popular or as demanded, there is still a small amount of private healthcare available for children, though clinics and treatments may be more difficult to access.
Why Is Private Treatment For Children Rarer?
In the UK, we are very fortunate that the facilities available for children within the NHS remain very strong and up-to-date. Because of this there is little available for children in the private hospitals and clinics that do currently exist are not very widespread and tend to cater for specialist areas within paediatric medicine.
The most popular type of care for children is the type that can be directly purchased (or through some insurance schemes) and provide care for those being looked after at home. This usually means a child that has a long term illness but does not need to be treated and cared for as an in-patient has access to home care from nurses that are employed by a private company.
In general the overall health of children in very good so it would not be cost effective to open many paediatric clinics and hospitals as aside from a few who break the arm etc or those living with long term illnesses, there would not be a very large client base.
Health in general declines as we age so often access to healthcare is not generally required until the adult years with some insurance companies offering special plans for those over 50 for example.Health insurance companies can be fairly confident that by including children in their healthcare schemes they are unlikely to cost them any money but offer parents the peace of mind that their children are included also.
What About The Clinics That Do Exist?
Most of the existing clinics that treat children as a specialty are available to those travelling from overseas who are looking for specialist treatment that might not existin their homeland. These clinics can help children who would otherwise not have the opportunity to the latest equipment and highly skilled staff that the UK can offer.
The most common service available to kids through the private service is access to the nursery that is attached to the private hospital allowing staff to know who is looking after their children whilst they are at work.This also works within the NHS to some degree as many NHS hospitals are kinked to a nursery that is run privately and independently to the hospital and exists for the kids of staff within the NHS.
The staff have to pay for their child's place out of their wages until they reach the age of three, after which all children of this age to school age are entitled to some amount of free nursery care funded by the government.
Healthcare for children and the private sector are not two terms that are commonly associated together for a number of reasons with the main one being that children in general do not require healthcare so offering these services would not be cost-effective.
For the most part children can be very well looked after in the NHS and the private sector would struggle to find any further methods of offering a higher quality of care of ease of access to services.


text:
A Lawn Time Coming
By Grist staff on Jun 7, 2000
The environment committee of Canada's House of Commons has proposed a nationwide ban on "cosmetic" pesticides used on residential lawns to make them look greener and to kill dandelions, reflecting growing concern about the health effects of lawn chemicals, especially on children. Health Minister Allan Rock plans to propose legislation this fall that would overhaul the nation's 30-year-old pesticide law. At the local level, dozens of Canadian communities have already banned or seriously restricted use of lawn pesticides. Chemical companies aren't happy about the trend; two companies have filed suit in Canada's Supreme Court against the small community of Hudson, Quebec, over its pesticide ban.


One man is now taking clean, bottled air from the British countryside and selling it to wealthy people in smog-ridden China for $115 per jar.
A woman in China buys bottled air from the British countryside for £80, which is around $150.
Pollution has ruined the air in much of China and is responsible for 1.6 million deaths each year. Throughout large swaths of the country, simply getting a breath of fresh air has become nearly impossible.
Still, many thought it was crazy when a Canadian company started selling bottled, clean air to China late last year. But now with a new, more upscale packaged air company on the scene, it's becoming even more clear exactly how much China's wealthy are willing to pay — and how much the average Chinese person can't afford to pay — for just a few gulps of clean air.
De Watts is fully aware that people will pay for a premium for his air, and thus isn't marketing his product to the general Chinese population. Like a luxury priced bottle of water, De Watts thought, why not have a luxury priced bottle of air?
Which is just fine for the elite class in China, a country with the world's third highest level of income inequality.
The richest one percent own a third of the country's wealth, while the poorest 25 percent are left to squabble over just one percent of the country's total wealth. The average annual income in China is 56,339 Chinese Yuan, which is equivalent to around $8,500. That would put the price of a single jar of Watt's imported air at more than 1 percent of the average annual income.
Since launching sales a couple weeks ago, De Watts has sold nearly 200 jars of air to people who both inhale and people who purchase it as a ridiculously priced novelty. And, not a man to miss an opportunity, De Watts is having a "Chinese New Year special," selling 15 jars of air for the bargain price of £888 ($1,280).


The first album output by Conjure One, a sideproject by Delerium member Rhys Fulber. Unsurprisingly Delerium-like in its lush soundscapes, it has a distinctly different flavour and at times feels similar to Engima's Voyageur, Center of the Sun in particular. The bonus CD of remixes is not enthralling, but the album itself is worth getting.


text:
Q: EFK Stack (Elasticsearch, Fluent-bit, Kibana) setup doesn't showing Kubernetes fields I have followed the document and did the EFK Stack setup on my Kubernetes cluster.
https://medium.com/@jbsazon/aggregated-kubernetes-container-logs-with-fluent-bit-elasticsearch-and-kibana-5a9708c5dd9a
By default fluent-bit is supposed to find all the kubernetes fields and add it to each log entry. However, in my case am not getting the Kubernetes fields. Getting only the below fields.
@timestamp, _id, _index, _score, _type, log, stream

I can see the logs inside the fluent-bit container and outside the container on host under "/var/log/containers" path with the symlinks.
Kube Version: 1.8
Fluent-bit configmap: https://raw.githubusercontent.com/fluent/fluent-bit-kubernetes-logging/master/output/elasticsearch/fluent-bit-configmap.yaml


Becoming an expert in payment solutions presents you and your clients with a range of new opportunities to improve efficiency, innovate existing processes and create new value add services. The MYOB Payment Solutions Advisory guide will help you to understand the payment space and where new opportunities lie.
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ICB's Annual Conference is on in March 2019 and will be going to 9 locations around Australia to present our annual conference.
A Certified Bookkeeping Practice is a bookkeeping business that is owned and managed by an ICB Member in Practice or Fellow in Practice (the ICB Member). Certified Bookkeeping Practices provide direct access to the ICB member resources and support for their team to better support their clients. The Certified Bookkeeping Practice is a commitment by the ICB member towards the development and growth of their bookkeeping business and their team. Learn more here.
ServiceM8 is an app for trade contractors & home service businesses like electricians, plumbers, locksmiths & cleaners. It helps manage the front-end job management, from a client's first call through to scheduling, quoting, job documentation, invoicing & payment. From there, ServiceM8 integrates with MYOB to form an end-to-end field service package.
The job management app helping trades & home services eliminate paperwork, provide great service & enjoy a lifestyle. Check out how ServiceM8 & MYOB provide an end-to-end solution.
If you're worried that IT is taking time away from billable staff, or you're experiencing downtime in the business you need to understand how much time and money is being wasted. Use the IT Productivity Calculator to understand how productive your IT actually is.
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Get an overview of how the ATOmate system works illustrating to accountants and accountancy firms how they can automate their manual document processing tasks by implementing ATOmate.
Visit the ATOmate website to find out how we can help your accounting business focus on improving client relationships by automating the processing of ATO documents. Book a demo or send an enquiry online via the ATOmate.com.au website.
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Find out more about our Partner Program and see how we can you and your clients.
As part of the smartAR Group, feeLink (Australia) works with around 1200 professional service firms across Australia and NZ. We help firms just like yours to get paid… on time, every time, through our specialist cash flow solutions which include feeLink fee funding, smartAR ledger management and our unique online payment portals.
Book a FREE cash flow strategy session.
Havealook Websites are a preferred website provider to MYOB Partners. Since 2005, we have been designing lead generating websites with page 1 Google rankings. We've been an integral part of many accountants, consultants, bookkeepers and other business types generating more leads and growing their revenue.
Everything you need to grow your hospitality or food retail business - from Point of Sale and beyond. Whether you're just launching or hunting for a system that takes the stress out of managing a busy hospitality environment, Kounta's Point of Sale has everything you need to grow your business - easily and affordably.
Learn how the NowInfinity platform can assist you in optimising your workflows, giving you the ability to grow and strengthen your business.
We build our products with only people in mind. Find out what Tanda can do to help you empower your staff, cut down administrative work, and grow further as a business.
From developing our products to endless socks, take a quick tour around the Brisbane Headquarters and find out what makes Tanda a great place to work in.
Now on its second year, the Workforce Success Conference is back to celebrate the doers of the world with an even bigger and better lineup.
BGL is Australia's leading developer of cloud SMSF administration and ASIC corporate compliance software solutions. With sophisticated data matching, highly intelligent corporate actions, big data, artificial intelligence and much more, Simple Fund 360 is the preferred SMSF admin solution of over 4,500 firms, while CAS 360 is the preferred ASIC compliance solution of almost 1,200 firms.
Cerebiz develops practical and low cost solutions that focus on any growing SME business issues of improving cash and profit. Cerebiz fills the gap with a comprehensive cloud based subscription offerings such as Cerebiz Budget, My Business Maximizer (MBM).
Businesses of all sizes across have revolutionised their manual accounts payable processes with expensemanager. Expenses, supplier payments and purchase orders are automated and paper free with our innovative expense and accounts payable platform. And with a mobile app as well, the process is fast and easy for employees. We are an Australian company delivering world's best technology with local services.
FeeSynergy is the leading provider of debtor management solutions to Accounting firms. Our Collect Debtor Management software brings together our collective IP and long experience of the accounting industry to deliver world's best practice to our client firms. When it comes to resolving debtor management issues, no one knows it better than FeeSynergy!
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NoahFace is the easiest and most affordable iPad application that delivers hours worked in any business seamlessly to the MYOB AccountRight Live payroll system. The employee experience is so easy and fast. The savings to customers mean more time, less admin, real-time hours worked and no more buddy punching or time theft. No more manual timesheets or clunky systems. Facial Recognition to MYOB all delivered by a wall mounted Apple iPad.
Cash flow is by far the biggest stress point for business owners, as clearly shown by the results of our latest Scottish Pacific SME Growth Index. We've created a set of quick short-term cash flow fixes that can help your clients improve their cash flow.
Scottish Pacific produces the SME Growth Index biannually; polling more than 1200 business owners nationally, undertaken independently by East & Partners. The SME Growth Index October 2018 revealed that SMEs flag higher revenue growth, but prospects could be dampened by declining property market and cash flow issues. Learn more.
Take the cost and stress out of your energy bills. The Energy Alliance has helped some of the biggest organisations in Australia, assisting in reducing energy prices and negotiating with energy retailers to ensure clients get the best deal possible. Now more than ever, independent and experienced energy market advice can make thousands of dollars difference to the bottom line to franchisees every year.
Tracks staff costs in real time, keeping you in control of your budget.
Cost effective, compliant and easy to use.
As a long standing Premium Developer Partner of MYOB, we welcome you to partner with us. Just introduce the benefits of WageLoch to your clients, so they can get control of their labour hours, and we'll look after the rest.


Discussion in 'About TUG BBS' started by Makai Guy, Jan 9, 2018.
Apple's iCloud server has lately been blocking emails sent by TUGBBS to icloud.com, me.com, and mac.com addresses. The returned message reports say "Message rejected due to local policy". We can trace this back to late November 2017.
The emails being rejected (so far) are all notifications our users have requested regarding new posts in forums or threads they are following. We don't know if ALL such notifications are being rejected by iCloud, or just some.
Tech support for our server can find nothing wrong with our setup, and we are not receiving rejection notices for the hundreds of similar emails sent to non-Apple addresses every day, so this seems to be some peculiarity at iCloud.
We have contacted Apple on this matter but so far have received no response.
In the meanwhile, if you are using an icloud.com, me.com, or mac.com address here on TUGBBS, and if you have a non-Apple email account you can use, you may wish to switch to this other email address in your TUGBBS profile. If you need help in doing this, see Updating email address in your TUGBBS profile.
Apple's canned reply just said that they'd look into it but that we would hear nothing about their findings.
We have not received any failed email notifications in 5 days (since Jan 10), so maybe they found and fixed the problem. If you have an icloud.com, me.com, or mac.com email address can you confirm you have received any notification emails from tugbbs since Jan 10?
Just had our first iCloud rejection in almost 5 weeks, this one from a me.com address. "Message rejected due to local policy."
Just had another email to an icloud.com address rejected today. This was for a notification of a private conversation.
If you are using an icloud.com, me.com, or mac.com address here on TUGBBS, and if you have a non-Apple email account you can use, you may wish to switch to this other email address in your TUGBBS profile. If you need help in doing this, see Updating email address in your TUGBBS profile.
TUGBBS email still being rejected by Apple "due to local policy" as of 4/4/2018.
We still get occasional reports of this.
Apple's iCloud server has been blocking emails sent by TUGBBS to icloud.com, me.com, and mac.com addresses since at least as far back as November 2017. The emails being rejected are notifications our users have requested regarding new posts in forums or threads they are following.
We have contacted Apple on this matter but have been unable to get this fixed.
If you are using an icloud.com, me.com, or mac.com address it might help if you contact the folks at your email server, tell them they are doing you a disservice, and ask that they allow mail from TUGBBS_Notifications <do-not-reply@tugbbs.com> to get through to you.
In the meanwhile, if you have a non-Apple email account you can use, you may wish to switch to this other email address in your TUGBBS profile. If you need help in doing this, see Updating email address in your TUGBBS profile.
I'm un-sticking this thread as we haven't seen any of these rejections for a few months now.