Math Concept Check Chapter 4
What is the connection between cartesian geometry and vector geometry? Given a point P in 3-space we associate three numbers x, y, and z with P. These numbers are called the coordinates of P, and we denote the point (x,y,z) or P(x,y,z) to emphasize the label P. The result is called a Cartesian Coordinate System for 3-space, and the resulting description in 3-space is called Cartesian geometry. Vectors are introduced by identifying each point P(x,y,z) with the vector v->=
Quantitative
Quantitative techniques may be defined as those techniques which provide the decision makes a systematic and powerful means of analysis, based on quantitative data,Quantitative techniques may be defined as those techniques which provide the decision makes a systematic and powerful means of analysis, based on quantitative data There are different types of quantitative techniques. We can classify them into three categories. They are: Mathematical Quantitative Techniques Statistical Quantitative Techniques
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Cluster: A collection of data objects
similar (or related) to one another within the same group
dissimilar (or unrelated) to the objects in other groups
Cluster analysis (or clustering, data segmentation, …)
Finding similarities between data according to the
characteristics found in the data and grouping similar
data objects into clusters
Unsupervised learning: no predefined classes (i.e., learning
by observations vs. learning by examples: supervised)
Typical applications
As
geometry
Vertex
A point where two or more straight lines meet.
Angle Addition Postulate
for any angle, the measure of the whole is equal to the sum of the measures of its non-overlapping parts
Angle Bisector
a ray that divides an angle into 2 congruent angles
Midpoint
a point that divides a segment into 2 congruent segments
Reflexive Property
A quantity is congruent (equal) to itself. a = a
Symmetric Property
If a = b, then b = a
Transitive Property
If a=b and b=c, then a=c
Complementary Angles
Two angles whose sum is
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1.1 Systems of Linear Equations:
- A system of linear equations can be represented by an augmented matrix.
- An elementary row operation is one of the following:
- Interchanging two rows.
- Multiplying a row by a nonzero constant.
- Adding a multiple of one row to another row.
- A system of linear equations is consistent if it has at least one solution.
- A system of linear equations is inconsistent if it has no solution.
1.2 Row Reduction and Echelon Forms:
- A matrix is in row echelon form if:
- All rows that contain only
algebra 2
11.1.2
What are tissues made of?
Groups of cells.
What are organs made of?
Tissues.
In the human body, what are systems made of?
A group of organs.
Which type of tissue produces movement?
Muscle tissue.
Which type of tissue coats surfaces?
Epithelial tissue.
Which type of tissue carries messages?
Nervous tissue.
What is the function of a motor neuron?
Controls muscles.
What do sensory neurons do?
Detect feel and smell.
What is the name for all the neurons in the central nervous system?
Interneurons.
Which is a part
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