|
Rossmo's Formula
Rossmo's formula is a geographic profiling formula to predict where a serial criminal lives. It relies upon the tendency of criminals to not commit crimes near places where they might be recognized, but also to not travel excessively long distances. The formula was developed and patented in 1996 by criminologist Kim Rossmo and integrated into a specialized crime analysis software product called Rigel. The Rigel product is developed by the software company Environmental Criminology Research Inc. (ECRI), which Rossmo co-founded. Formula Imagine a map with an overlaying grid of little squares named sectors. If this map is a raster image file on a computer, these sectors are pixels. A sector S_ is the square on row ''i'' and column ''j'', located at coordinates (X_,Y_). The following function gives the probability p_ of the position of the serial criminal residing within a specific sector (or point) (X_,Y_): p_=k \sum_^ \left \underbrace_ + \underbrace_ \right where: \phi ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Geographic Profiling
Geographic profiling is a criminal investigative methodology that analyzes the locations of a connected series of crimes to determine the most probable area of offender residence. By incorporating both qualitative and quantitative methods, it assists in understanding spatial behaviour of an offender and focusing the investigation to a smaller area of the community. Typically used in cases of serial murder or rape (but also arson, bombing, robbery, terrorism and other crimes), the technique helps police detectives prioritize information in large-scale major crime investigations that often involve hundreds or thousands of suspects and tips. In addition to determining the offender's most likely area of residence, an understanding of the spatial pattern of a crime series and the characteristics of the crime sites can tell investigators other useful information, such as whether the crime was opportunistic and the degree of offender familiarity with the crime location. This is based on t ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Taxicab Geometry
A taxicab geometry or a Manhattan geometry is a geometry whose usual distance function or metric of Euclidean geometry is replaced by a new metric in which the distance between two points is the sum of the absolute differences of their Cartesian coordinates. The taxicab metric is also known as rectilinear distance, ''L''1 distance, ''L''1 distance or \ell_1 norm (see ''Lp'' space), snake distance, city block distance, Manhattan distance or Manhattan length. The latter names refer to the rectilinear street layout on the island of Manhattan, where the shortest path a taxi travels between two points is the sum of the absolute values of distances that it travels on avenues and on streets. The geometry has been used in regression analysis since the 18th century, and is often referred to as LASSO. The geometric interpretation dates to non-Euclidean geometry of the 19th century and is due to Hermann Minkowski. In \mathbb^2 , the taxicab distance between two points (x_1, y_1) and (x_2, ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Crime Mapping
Crime mapping is used by analysts in law enforcement agencies to map, visualize, and analyze crime incident patterns. It is a key component of crime analysis and the CompStat policing strategy. Mapping crime, using Geographic Information Systems (GIS), allows crime analysts to identify crime hot spots, along with other trends and patterns. Overview Using GIS, crime analysts can overlay other datasets such as census demographics, locations of pawn shops, schools, etc., to better understand the underlying causes of crime and help law enforcement administrators to devise strategies to deal with the problem. GIS is also useful for law enforcement operations, such as allocating police officers and dispatching to emergencies. Underlying theories that help explain spatial behavior of criminals include environmental criminology, which was devised in the 1980s by Patricia and Paul Brantingham, routine activity theory, developed by Lawrence Cohen and Marcus Felson and originally p ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Criminology
Criminology (from Latin , "accusation", and Ancient Greek , ''-logia'', from λόγος ''logos'' meaning: "word, reason") is the study of crime and Deviance (sociology), deviant behaviour. Criminology is an interdisciplinary field in both the Behavioral sciences, behavioural and social sciences, which draws primarily upon the research of sociology, sociologists, Political science, political scientists, Economics, economists, psychologists, philosophy, philosophers, psychiatry, psychiatrists, social work, social workers, biologists, social anthropology, social anthropologists, as well as scholars of law. Criminologists are the people working and researching the study of crime and society's response to crime. Some criminologists examine behavioral patterns of possible criminals. Generally, criminologists conduct research and investigations, developing theories and analyzing empirical patterns. The interests of criminologists include the study of nature of crime and criminals, ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Offender Profiling
Offender profiling, also known as criminal profiling, is an investigative strategy used by law enforcement agencies to identify likely suspects and has been used by investigators to link cases that may have been committed by the same perpetrator. Multiple crimes may be linked to a specific offender and the profile may be used to predict the identified offender's future actions. In the 1980s, most researchers believed offender profiling was relevant only to sex crimes, like serial rape or sexual homicide, but since the late 1990s research has been published to support its application to arson (1998), and then later terrorism (2000) and burglary (2017). Theory Psychological profiling is described as a method of suspect identification which seeks to identify a person's mental, emotional, and personality characteristics based on things done or left at the crime scene. There are two major assumptions made when it comes to offender profiling: behavioral consistency and homology. Beha ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Disturbed (Numb3rs)
"Disturbed" is the 21st episode of the fifth season of the American television show ''Numbers''. In the episode written by series creators/executive producers Cheryl Heuton and Nicolas Falacci, skeptical Federal Bureau of Investigation (FBI) agents track an undetected serial killer while their math consultant copes with his brother's recent injury. After FBI Special Agent Don Eppes's (Rob Morrow) injury, FBI Special Agent David Sinclair (Alimi Ballard), who was the newest member of the team at the beginning of the series, served as team leader. Falacci and Heuton also included Easter eggs from the "Pilot" and from some of the previous 99 episodes. The producers brought back one previous guest star and almost had a special guest star. For the 100th episode, series producers brought back Josh Gad, who amazed producers in a previous episode. Dr. Stephen Hawking, who visited the set during filming, almost became a guest star in the episode. "Disturbed" first aired in the Unit ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Numb3rs
''Numbers'' (stylized as ''NUMB3RS'') is an American crime drama television series that was broadcast on CBS from January 23, 2005, to March 12, 2010, for six seasons and 118 episodes. The series was created by Nicolas Falacci and Cheryl Heuton, and follows FBI Special Agent Don Eppes ( Rob Morrow) and his brother Charlie Eppes ( David Krumholtz), a college mathematics professor and prodigy, who helps Don solve crimes for the FBI. Brothers Ridley and Tony Scott produced ''Numbers''; its production companies are the Scott brothers' Scott Free Productions and CBS Television Studios (originally Paramount Network Television, and later CBS Paramount Network Television). The show focuses equally on the relationships among Don Eppes, his brother Charlie Eppes, and their father, Alan Eppes ( Judd Hirsch), and on the brothers' efforts to fight crime, usually in Los Angeles. A typical episode begins with a crime, which is subsequently investigated by a team of FBI agents led b ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Pilot (Numb3rs)
"Pilot" is the first episode of the American television show ''Numbers''. Based on a real-life serial rape case, "Pilot" features two brothers, an agent with the Federal Bureau of Investigation (FBI) and a mathematics professor at a Southern California university, using their individual skills to capture a serial rapist who has begun to kill his victims. "Pilot" also introduces the theme of mathematics being used to solve crimes. Written by series creators Cheryl Heuton and Nicolas Falacci, the episode was filmed twice, once in Boston, Massachusetts and once in Los Angeles, California, with two different casts using two somewhat different scripts. The test audience could not believe that the three men who portrayed the family could be related to each other, so the producers made cast changes to the family. They also made several changes to the rest of the cast to accommodate the changes in the script. Heuton and Falacci changed the script to focus on the brothers' relationship w ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Gaussian Distribution
In statistics, a normal distribution or Gaussian distribution is a type of continuous probability distribution for a real-valued random variable. The general form of its probability density function is : f(x) = \frac e^ The parameter \mu is the mean or expectation of the distribution (and also its median and mode), while the parameter \sigma is its standard deviation. The variance of the distribution is \sigma^2. A random variable with a Gaussian distribution is said to be normally distributed, and is called a normal deviate. Normal distributions are important in statistics and are often used in the natural and social sciences to represent real-valued random variables whose distributions are not known. Their importance is partly due to the central limit theorem. It states that, under some conditions, the average of many samples (observations) of a random variable with finite mean and variance is itself a random variable—whose distribution converges to a normal distr ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Criminologist
Criminology (from Latin , "accusation", and Ancient Greek , ''-logia'', from λόγος ''logos'' meaning: "word, reason") is the study of crime and deviant behaviour. Criminology is an interdisciplinary field in both the behavioural and social sciences, which draws primarily upon the research of sociologists, political scientists, economists, psychologists, philosophers, psychiatrists, social workers, biologists, social anthropologists, as well as scholars of law. Criminologists are the people working and researching the study of crime and society's response to crime. Some criminologists examine behavioral patterns of possible criminals. Generally, criminologists conduct research and investigations, developing theories and analyzing empirical patterns. The interests of criminologists include the study of nature of crime and criminals, origins of criminal law, etiology of crime, social reaction to crime, and the functioning of law enforcement agencies and the penal insti ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Distance Decay
Distance decay is a geographical term which describes the effect of distance on cultural or spatial interactions. The distance decay effect states that the interaction between two locales declines as the distance between them increases. Once the distance is outside of the two locales' activity space, their interactions begin to decrease. It is thus an assertion that the mathematics of the inverse square law in physics can be applied to many geographic phenomena, and is one of the ways in which physics principles such as gravity are often applied metaphorically to geographic situations. Mathematical models Distance decay is graphically represented by a curving line that swoops concavely downward as distance along the x-axis increases. Distance decay can be mathematically represented as an inverse-square law by the expression I = const. \times d^ or I \propto 1/d^2, where is interaction and is distance. In practice, it is often parameterized to fit a specific situation, such ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Manhattan Distance
A taxicab geometry or a Manhattan geometry is a geometry whose usual distance function or metric of Euclidean geometry is replaced by a new metric in which the distance between two points is the sum of the absolute differences of their Cartesian coordinates. The taxicab metric is also known as rectilinear distance, ''L''1 distance, ''L''1 distance or \ell_1 norm (see ''Lp'' space), snake distance, city block distance, Manhattan distance or Manhattan length. The latter names refer to the rectilinear street layout on the island of Manhattan, where the shortest path a taxi travels between two points is the sum of the absolute values of distances that it travels on avenues and on streets. The geometry has been used in regression analysis since the 18th century, and is often referred to as LASSO. The geometric interpretation dates to non-Euclidean geometry of the 19th century and is due to Hermann Minkowski. In \mathbb^2 , the taxicab distance between two points (x_1, y_1) and (x_2, y_ ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
