Singular

numbers σj are called the singular values of Z. They are organised in weakly decreasing order: σ1 ≥ σ2 ≥ • • • ≥ σk ≥ 0. The columns of X and Y are called left singular vectors and right singular vectors, respectively. Singular values are connected with the approximability of matrices. For each j, the number σj+1 equals the spectral-norm [5] discrepancy between Z and an optimal rank-j approximation. That is, σj+1 = min{kZ − Bk : B has rank j}. 3.2 Randomized Singular Value Decomposition (RSVD):

A THESIS On Performance for Web document mining using NLP and Latent Semantic Indexing with Singular Value Decomposition ABSTRACT In this thesis we propose a description Web based document file can be say that Latent Semantic Indexing is a application for information sentence and word based retrieval that promises to offer better performance by incapacitating approximately limits that waves outdated term identical methods. These word matching techniques have constantly relied on matching

English language needs a singular gender-neutral pronoun that replaces the clunky alternatives English speakers have now. English is a relatively young language compared to most others still around today. Currently, we are taught that the use of singular they is incorrect, and instead we should use either “he,” “him or her,” or “s/he,” when referring to someone whose gender is unclear. Others say English writers should move toward a singular pronoun to use with a singular antecedent. How perfect

During the conversation between Joe and Louis in Act II, Scene 7, Joe explains that the day before, he accidentally showed up for work at the Hall of Justice on a Sunday. Due to the fact that the Hall is closed on Sundays, Joe arrived to discover a deserted courthouse and panicked, thinking, “The whole Hall of Justice, it’s empty, it’s deserted, it’s gone out of business. Forever” (Kushner 78). Although it was deserted simply due to the fact that it was Sunday, the empty Hall of Justice symbolizes

A Singular Flame In the early 1800s, the world was rapidly industrializing. The literary movement known as Romanticism focused on bringing light to the individual in this darkening world. Ralph Waldo Emerson outlines all the particular aspects of being a Romantic individual in his essay “Self-Reliance”. In his novel The Scarlet Letter, Romanticist Nathaniel Hawthorne tells the tale of two Puritans in colonial Massachusetts who commit adultery. When Hester Prynne is discovered to be pregnant

my parents’ marriage contributed to my lowered grades. My natural love for my parents couldn’t accept their relationship falling apart, and this led to a distraction from studies and an inability to concentrate on things. I viewed “parents” as a singular entity, if they separated, that single entity would have been shattered. I understand however, that I should have been motivated nonetheless. I recall

others. Social capital can happen through informal and formal establishments. An example of informal establishment is a community or financial status group. Formal establishments can occur through groups like neighborhoods and government structures. Singular social capital can be viewed as a measure of one’s evaluation of their surroundings, their interpersonal organizations, and their level of cooperation in their group. Social withdrawal is when one suffering with mental illness is more averse to having

A Chorus Line (A Singular Sensation) A singular sensation: is exactly how I felt throughout the show while watching this stupendous musical. I went to see the September 26th showing of “A Chorus Line” at Patti Strickel Harrison Theatre. I was in awe and incredibly proud to come from a university filled with an abundance amount of talent. A Chorus line is a musical theatre show that surrounds a director, Zach, and his assistant, Laura, holding a dance audition for an impending Broadway show

impressions on health when giving their patients advice. Over three articles, different authors have shared their views on health, what it means, and how it affects our society. From these, I comprised my own definition for health. Health is not a singular concept. Rather, it affects an entire society, allowing everyone to access food filled with the necessary nutrients to sustain life. This definition though has no use unless it is able to be shared with large populations. Therefore, education and

Today, the African American community has a very definitive, restrictive singular story, and though this story might be correct about some members of the community, it is not for others. Adichie reminds us that the African American stereotype and singular story, although possibly true, is very incomplete and makes one story become the only story about a group of people. Personally, I have been lucky enough to have experienced many different social and economic situations, and in every place I have