The symbol Σ (capital sigma) is often used as shorthand notation to indicate the sum of a number of similar terms. Sigma notation is used extensively in statistics. For example, suppose we weigh five children. We will denote their weights by x1, x2, x3, x4 and x5.
The symbol ∑ indicates summation and is used as a shorthand notation for the sum of terms that follow a pattern.
The Greek capital letter, ∑ , is used to represent the sum. The series 4+8+12+16+20+24 can be expressed as 6∑n=14n . The expression is read as the sum of 4n as n goes from 1 to 6 .
In mathematics, the notations Sigma (summation) and Pi (product) are used to express repeated addition or multiplication.
Sigma (summation) and Pi (product) notation are used in mathematics to indicate repeated addition or multiplication. Sigma notation provides a compact way to represent many sums, and is used extensively when working with Arithmetic or Geometric Series. Pi notation provides a compact way to represent many products.
A pi bond is a weaker chemical covalent bond than a sigma bond (since π bonds have a smaller overlap between the orbitals), but when it is put with a sigma bond it creates a much stronger hold between the atoms, thus double and triple bonds are stronger then single bonds.
The strength of a bond is dependent on the extent of overlapping. In the case of the sigma bond, the overlapping of orbitals takes place to a larger extent. Hence, the sigma bond is stronger in comparison to the pi bond because, in π bond, the extent of overlapping occurs to a smaller extent.
The unit of measurement usually given when talking about statistical significance is the standard deviation, expressed with the lowercase Greek letter sigma (σ). The term refers to the amount of variability in a given set of data: whether the data points are all clustered together, or very spread out.
Alpha males are celebrated for being strong and dominant and possessing great leadership qualities. Those attributes earned them a place at the top of the hierarchy. Sigmas have similar attributes but aren't considered as dominant, mainly due to their quiet, reserved nature.
That was easy. To help you determine if you are using a semicolon correctly, just ask yourself if a period would be correct if used where the semicolon is used. If so, then you have used the semicolon correctly. If a comma could be used where a semicolon is used, then the semicolon is not used correctly.
Use a semicolon between closely related independent clauses which are not joined by a coordinating conjunction. This rule means that semicolons are used between two complete sentences which are not already linked by words like and, but, or, nor, for, so, yet.
Semicolon (;)
Like the comma and the colon, the semicolon is used to connect sentences together. The semicolon typically indicates that the second sentence is closely related to the one before it. I can't eat peanuts; I am highly allergic to them.
The symbol ∈ indicates set membership and means “is an element of” so that the statement x∈A means that x is an element of the set A. In other words, x is one of the objects in the collection of (possibly many) objects in the set A.
One, the most common in modern typography and inherited from medieval minuscule, looks like a reversed number "3" and is encoded U+03B5 ε GREEK SMALL LETTER EPSILON.
In math, the backwards E, ∃, means there exists. ∈ means part of a set. A line through that ∉ means excluded from. Everyone ∃, but not everyone ∈.
❖ ΣXY = sum of XY products.
Sigma (uppercase/lowercase Σ σ ς) is the 18th letter of the Greek alphabet. It is used to represent the "s" sound in Ancient and Modern Greek.
Consequently, the standard deviation calculated for population data is denoted by σ and the standard deviation calculated for sample data is denoted by s. where σ is the standard deviation of the population and s is the standard deviation of the sample.
A sigma value is a description of how far a sample or point of data is away from its mean, expressed in standard deviations usually with the Greek letter σ or lower case s. A data point with a higher sigma value will have a higher standard deviation, meaning it is further away from the mean.
Because the pi bond has less electron density between the atoms, it is of higher energy in the MO diagram and is weaker than the sigma bond.
In the sigma bond, the overlapping is maximum whereas in the pi bond the overlapping is minimum. So, pi bond is weaker than sigma bond.
The sigma bond is formed by the head-on overlap of two sp orbitals. The pi bonds are formed by the side-on overlap of 2p orbitals.