What Does Residue Mean?

What is the residue of a pole?

The different types of singularity of a complex function f(z) are discussed and the definition of a residue at a pole is given.

The residue theorem is used to evaluate contour integrals where the only singularities of f(z) inside the contour are poles..

What is another word for residue?


Which is the residue?

something that remains after a part is removed, disposed of, or used; remainder; rest; remnant.

What is residue in number theory?

The word residue is used in a number of different contexts in mathematics. Two of the most common uses are the complex residue of a pole, and the remainder of a congruence. The number in the congruence is called the residue of (mod ). The residue of large numbers can be computed quickly using congruences.

What is the opposite of residue?

Opposite of a small amount of something that remains after the main part has gone or been taken or used. base. core. lack. necessity.

What is the use of residue?

In chemistry residue is whatever remains or acts as a contaminant after a given class of events. Residue may be the material remaining after a process of preparation, separation, or purification, such as distillation, evaporation, or filtration. It may also denote the undesired by-products of a chemical reaction.

What happens if there is no residuary clause in a will?

With a provision to your will, called a residuary clause, you can bequest any remaining property to a specific beneficiary. If you don’t have a residuary clause in place, the probate court will distribute these assets as per state intestacy laws — or as if there was no will in place at all.

Can the residue of a pole be zero?

So, if there is no term (z−z0)−1 in f′, the coefficient, say a′−1, is 0 therefore the residue is 0.

What does residue mean in math?

From Wikipedia, the free encyclopedia. In mathematics, more specifically complex analysis, the residue is a complex number proportional to the contour integral of a meromorphic function along a path enclosing one of its singularities. (

What do you mean by residuary power?

Reserved powers, residual powers, or residuary powers are the powers which are neither prohibited or explicitly given by law to any organ of government. … Reserved powers are sometimes called “police powers”, and are sometimes related to protecting the health, safety, and morals of state citizens.

What is an example of residue?

The grill was covered in a greasy residue from the hamburgers. The divorce left a residue of pain in the family. There was some kind of sticky residue on the floor. She left the residue of her estate to her daughter.

What does residuary mean?

Residuary estate is a probate term that refers to the assets in a deceased person’s estate after all gifts are bequeathed and debts, taxes, administrative costs, probate fees and court costs are paid.

What should you never put in your will?

Finally, you should not put anything in a will that you do not own outright. If you jointly own assets with someone, they will most likely become the new owner….Assets with named beneficiariesBank accounts.Brokerage or investment accounts.Retirement accounts and pension plans.A life insurance policy.

Is residue singular or plural?

The noun residue can be countable or uncountable. In more general, commonly used, contexts, the plural form will also be residue. However, in more specific contexts, the plural form can also be residues e.g. in reference to various types of residues or a collection of residues.