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State and prove morera's theorem proving necessary results?
Morera's Theorem states that if a continuous function ( f ) defined on a domain ( D \subseteq \mathbb{C} ) is such that the integral of ( f ) over every closed curve in ( D ) is zero, then ( f ) is holomorphic on ( D ). To prove this, we utilize the fact that if ( f ) is continuous and the integral over every closed curve is zero, we can approximate ( f ) using a partition of unity and apply Cauchy's integral theorem. Thus, by demonstrating that the integral of ( f ) over any disk can be expressed as a limit of integrals over closed curves, we establish that ( f ) is differentiable, confirming that ( f ) is indeed holomorphic.
What is another word for integration?
honesty, truth, truthfulness, honor, veracity, reliability, and uprightness are some synonyms.Answer:wholeness. unity.
How do you use unity in a sentence?
Every day, my grandma prays for unity among her feuding family members.
How can respecting the dignity of every person result in unity?
nganga
Should every paragraph display unity and coherence?
yes
What is integral in sanskrit?
The word "integral" in Sanskrit can be translated as "संपूर्ण" (sampūrṇa), which means complete or whole. Another term that can convey a similar meaning is "अङ्ग" (aṅga), which refers to a part of a whole. Both terms emphasize the idea of completeness and unity in various contexts.
What was Allah supposed to bring about?
peace, faith and unity, and he continues to do so every minuet of every day.
What is Unity of Objectives?
Every part of the company must contribute to the main objective
Which sacrament does the church most fully express its unity?
The sacrament of communion expresses the unity of the church. This sacrament celebrates a joint meal. Every other sacrament is done for the benefit of an individual.
What are some pc games like assassin's creed unity?
I finished assassin's creed unity and loved every bit of it. So now I am looking for games like it (gameplay types, stealth/tank/ranged)
To ensure a united effort under one responsible commander for every objective is the purpose of which principle of war?
unity of command
How will you maintain the unity of your country?
You'd have to get them all to see that God loves each and every one of us equally and that he alone is the judge.
