Examples of summation notation in the following topics:
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- Use summation notation to express the sum of a subset of numbers
- Fortunately there is a convenient notation for expressing summation.
- This section covers the basics of this summation notation.
- The Greek letter Σ indicates summation.
- When all the scores of a variable (such as X) are to be summed, it is often convenient to use the following abbreviated notation:
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- In statistical formulas that involve summing numbers, the Greek letter sigma is used as the summation notation.
- Fortunately there is a convenient notation for expressing summation.
- This section covers the basics of this summation notation.
- This can be achieved by using the summation notation "$\Sigma$ " Using this sigma notation, the above summation is written as:
- Discuss the summation notation and identify statistical situations in which it may be useful or even essential.
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- Sigma notation, denoted by the uppercase Greek letter sigma $\left ( \Sigma \right ),$ is used to represent summations—a series of numbers to be added together.
- Summation is the operation of adding a sequence of numbers, resulting in a sum or total.
- One way to compactly represent a series is with sigma notation, or summation notation, which looks like this:
- To "unpack" this notation, $n=3$ represents the number at which to start counting ($3$), and the $7$ represents the point at which to stop.
- In this formula, i represents the index of summation, $x_i$ is an indexed variable representing each successive term in the series, $m$ is the lower bound of summation, and $n$ is the upper bound of summation.
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- The summation of all the terms of a sequence is called a series, and many formulae are available for easily calculating large series.
- Summation is the operation of adding a sequence of numbers; the result is their sum or total.
- The notation for this operation is to use the capital greek letter sigma, $\Sigma$, following the general formula:
- where $i$ represents the index of summation; $x_i$ is an indexed variable representing each successive term in the series; $m$ is the lower bound of summation, and $n$ is the upper bound of summation.
- The "$i=m$" under the summation symbol means that the index $i$ starts out equal to $m$.
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- Signal summation occurs when impulses add together to reach the threshold of excitation to fire a neuron.
- Summation, either spatial or temporal, is the addition of these impulses at the axon hillock .
- Together, synaptic summation and the threshold for excitation act as a filter so that random "noise" in the system is not transmitted as important information.
- Spatial summation means that the effects of impulses received at different places on the neuron add up so that the neuron may fire when such impulses are received simultaneously, even if each impulse on its own would not be sufficient to cause firing.
- Temporal summation means that the effects of impulses received at the same place can add up if the impulses are received in close temporal succession.
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- In order to solve this, we will need to expand the summation for all values of $k$.
- Use factorial notation to find the coefficients of a binomial expansion
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- Skeletal muscles interact to produce movements by way of anatomical positioning and the coordinated summation of innervation signals.
- This addition is termed summation.
- Within a muscle summation can occur across motor units to recruit more muscle fibers, and also within motor units by increasing the frequency of contraction.
- Repeated twitch contractions, where the previous twitch has not relaxed completely are called a summation.
- Explain the summation interactions of skeletal muscles and how they affect movement
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- Scientific notation is a more convenient way of writing very small or very large numbers.
- Therefore, our number in scientific notation would be: $4.56 \times 10^5$.
- Scientific notation enables comparisons between orders of magnitude.
- Learn to convert numbers into and out of scientific notation.
- It is also sometimes called exponential notation.
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- The notation for the F distribution is F∼Fdf(num),df(denom) where df(num) = dfbetween and df(denom) = dfwithin
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- Scientific notation is a way of writing numbers that are too big or too small in a convenient and standard form.
- Scientific notation is a way of writing numbers that are too big or too small in a convenient and standard form.
- Scientific notation displayed calculators can take other shortened forms that mean the same thing.
- For example, $3.2\cdot 10^{6}$ (written notation) is the same as $3.2\text{E+6}$ (notation on some calculators) and $3.2^{6}$ (notation on some other calculators).
- Convert properly between standard and scientific notation and identify appropriate situations to use it