Principal Part

The principal part at of a function

is the portion of the Laurent series consisting of terms with negative degree. That is,

is the principal part of at . has an essential singularity at, if and only if the principal part is an infinite sum.

Other articles related to "principal part, principal parts":

Laurent Series - Principal Part - Multiplication
... Two Laurent series with only finitely many negative terms can be multiplied algebraically, the sums are all finite geometrically, these have poles at c, and inner radius of convergence 0, so they both converge on an overlapping annulus ... Thus when defining formal Laurent series, one requires Laurent series with only finitely many negative terms. ...
Ri-verbs - Overview
... the ri-verbs is that they are written with an e in the second principal part (first person singular past indicative mood), even though they are pronounced as being spelled with an é according to the Icelandic ... The principal parts of the ri-verbs are as following First principal part Second principal part Third principal part Infinitive First person singular past tense indicative mood Past participle Að snúa ...
Principal Part - Other Definitions - Distribution Theory
... The term principal part is also used for certain kinds of distributions having a singular support at a single point ...
Principal Parts - By Language - Spanish
... In Spanish, verbs are traditionally held to have only one principal part, the infinitive, by which one can classify the verb into one of three conjugation paradigms (according ... some scholars believe that the conjugation could be regularized by adding another principal part to vowel-alternating verbs, which shows the alternation ... person singular, present tense, indicative mood form (hiero) as a principal part, and noting that the diphthong appears only when that syllable is stressed, the conjugation of herir becomes completely ...
Principal Parts - By Language - Icelandic - Ri-verbs
... Icelandic Ri-verbs have the following principal parts First principal part Second principal part Third principal part Infinitive First person singular past tense indicative mood Past participle Að snúa ... ég sneri, "though I turned") from the second principal part (ég sneri, "I turned") ...

Famous quotes containing the words part and/or principal:

    Cant is always rather nauseating; but before we condemn political hypocrisy, let us remember that it is the tribute paid by men of leather to men of God, and that the acting of the part of someone better than oneself may actually commit one to a course of behaviour perceptibly less evil than what would be normal and natural in an avowed cynic.
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