Odd Index
Odd Index - Related Videos
01:17
Even and Odd Signals
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2024
An even signal, whether in continuous-time or discrete-time, is defined by its symmetry with its time-reversed version. Mathematically, this is represented as for continuous-time signals and for discrete-time signals. Even signals exhibit symmetry around the vertical axis, meaning the signal for negative time values mirrors that for positive time values. In contrast, a signal is termed odd if it does not match its time-reversed counterpart, represented by for continuous-time signals and for...
01:09
Odds Ratio
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2025
The odds ratio (OR) is a statistical measure used extensively in epidemiology and research to quantify the strength of association between exposure and outcome across different groups. Unlike relative risk, which compares the probabilities of an event occurring, the odds ratio compares the odds of an event occurring in the exposed group to the odds of it occurring in the unexposed group. The odds, in this context, are calculated as the probability of the event happening divided by the...
02:55
Exceptions to the Octet Rule
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2020
Many covalent molecules have central atoms that do not have eight electrons in their Lewis structures. These molecules fall into three categories: Odd-electron molecules have an odd number of valence electrons and therefore have an unpaired electron. Electron-deficient molecules have a central atom with fewer electrons than needed for a noble gas configuration. Hypervalent molecules have a central atom that has more electrons than needed for a noble gas configuration. Odd-electron...
11:26
High-throughput Gene Tagging in Trypanosoma brucei
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Cited by 21 •
2016
Addition of a tag to a protein is a powerful way of gaining insight into its function. Here, we describe a protocol to endogenously tag hundreds of Trypanosoma brucei proteins in parallel such that genome scale tagging is achievable.
05:10
Drug Repurposing Hypothesis Generation Using the "RE:fine Drugs" System
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Cited by 4 •
2016
Here we describe a protocol using the web-based drug repurposing hypothesis generation tool: "RE:fine Drugs." This protocol can be modified to a user's preferences at the level of the query type (gene, drug or disease) and/or the range of available advanced options.
FAQs
Parity provides the decision rule: an index qualifies when it can be expressed as 2k + 1, where k is an integer. This formulation shows that qualifying positions differ by two and therefore select every other location in an ordered collection. It gives a precise algebraic test for separating alternating terms.
The indexing convention changes which numerical labels are odd or even, even when the underlying collection is unchanged. With one-based counting, the first position has label 1; with zero-based counting, it has label 0. Consequently, the selected locations shift by one position, so the convention must be identified before extracting or comparing elements.
It creates a subsequence containing alternating positions, which can be compared with the complementary even-indexed subsequence. Examining the two groups helps identify differences in their terms, recurring alternation, or broader patterns in the original sequence. The approach is useful because it separates positional structure without changing the order of the retained elements.
Begin by fixing the indexing convention, then label or interpret each position accordingly. Apply the parity test to each label and retain entries whose labels satisfy the odd-index rule. In an array or matrix, this selection can be performed across the relevant ordered positions, producing a reduced set that is easier to organize or use in later calculations.
In matrix and array work, selecting odd-indexed entries can reduce a larger arrangement to a targeted subset. That reduction may simplify calculations, organize data into alternating positional groups, and make structural relationships easier to inspect. Its value comes from using position as an organizing principle, rather than treating every entry as part of the same calculation.
Verify whether counting starts at zero or one, because that choice changes the labels assigned to every position. Then check that the retained labels satisfy the appropriate parity rule and that their order remains tied to the original collection. These checks prevent a correct parity calculation from being applied to the wrong positional convention.