Answer:To simplify the discussion, we will only consider two-class classifiers in this section and define a linear classifier as a two-class classifier that decides class membership by comparing a linear combination of the features to a threshold.
Figure 14.8: There are an infinite number of hyperplanes that separate two linearly separable classes.
\includegraphics[width=6cm]{vclassline.eps}
In two dimensions, a linear classifier is a line. Five examples are shown in Figure 14.8 . These lines have the functional form $w_1x_1+w_2x_2=b$. The classification rule of a linear classifier is to assign a document to $c$ if $w_1x_1+w_2x_2>b$ and to $\overline{c}$ if $w_1x_1+w_2x_2\leq b$. Here, $(x_1, x_2)^{T}$ is the two-dimensional vector representation of the document and $(w_1, w_2)^{T}$ is the parameter vector that defines (together with $b$) the decision boundary. An alternative geometric interpretation of a linear classifier is provided in Figure 15.7 (page [*]).
We can generalize this 2D linear classifier to higher dimensions by defining a hyperplane as we did in Equation 140, repeated here as Equation 144:
\begin{displaymath}
\vec{w}^{T}\vec{x} = b
\end{displaymath} (144)
The assignment criterion then is: assign to $c$ if $\vec{w}^{T}\vec{x} > b$ and to $\overline{c}$ if $\vec{w}^{T}\vec{x} \leq b$. We call a hyperplane that we use as a linear classifier a decision hyperplane .
Figure 14.9: Linear classification algorithm.
\begin{figure}\begin{algorithm}{ApplyLinearClassifier}{\vec{w},b,\vec{x}}
score ...
...in{IF}{score>b}
\RETURN{1}
\ELSE
\RETURN{0}
\end{IF}\end{algorithm}
\end{figure}
The corresponding algorithm for linear classification in $M$ dimensions is shown in Figure 14.9 . Linear classification at first seems trivial given the simplicity of this algorithm. However, the difficulty is in training the linear classifier, that is, in determining the parameters $\vec{w}$ and $b$ based on the training set.
Explanation:
nums = input("Enter your numbers: ")
lst = nums.split()
new_lst = ([])
for i in lst:
if int(i) >= 0:
new_lst.append(int(i))
new_lst.sort()
for x in new_lst:
print(x, end=" ")
The above code is in case the user enters the numbers.
def func(lst):
lst.sort()
for i in lst:
if i >=0:
print(i, end=" ")
lst = ([10,-7, 4, 39, -6, 12, 2])
func(lst)
The above code is in case you must input the numbers manually via a function.
I hope this helps!
Answer:
1 & 3 only
1. Limit the amount of text to not more than 6 lines per slide
3. Stick to a limited number of colors and use them consistently
Explanation:
The general PowerPoint slide rule is 6 x 6 presentation rule which translates to
6 words per line and 6 lines per slide
It helps keeping your slide from being so dense and packed with information that people don't want to look at it.
It's always important to keep consistent colors in PowerPoint slides. This enables you to maintain cool rhythm throughout the slides.
Inconsistent colours easily distracts your audience/readers.
It's not advisable to use capital letters all through in PowerPoint slides.
Software, unless you planned on permanently downloading the Music Album or Song to your computer's Hard Drive. i.e, you would use whatever Music or Media player you have installed on your computer, and that simply counts as Software.
hope this helps.
