Wednesday, December 13, 2006

math interview -- few tips


Math is a unique subject, based on logic, axiom and definitions.there are few tips to do better in it.
1..at research one should be clear in its research topic and future research plan.if you some research papers, try to mention journel rating.
2..geometry , figures and graph are the tool to describe math,soyou have commend on it.one should well prepared for graph of simple curve trignometrical ratio, mod fuction, greatest and least integer fuction, logarithem and exponential fuctions.
3..you should have at least famaliar with mathmatica and matlab software.if your are opting N.A or O.R , then it is nesseary.
4..if you trying for faculty position,then do some practice on lcd screen also.
5..for ph.d selection interview, one should make a good mix of pure and applied subjects for broad spectrum.
6..try to mention, with example , if converse of theorem is not true.converse of theroms are important concept in maths, because they test the limit of generilisation.
7.stess on definations, b/c there are pillars of mathematical structure.never discuss the proof of defination.also clear the concept of axiom.
8.. LINEAR ALGEBRA is safe bet for ph.d interview.it bridges pure and applied maths.students are well aware of matrix notation, so it is easy for them to comprehand linear algebra.every matrix represents a linear transformations.

Monday, December 11, 2006

Science for Net


1..It is important to be honest when reporting a measurement, so that it does not appear to be more accurate than the equipment used to make the measurement allows. We can achieve this by controlling the number of digits, or significant figures, used to report the measurement.
2..The number of significant figures in a measurement, such as 2.531, is equal to the number of digits that are known with some degree of confidence (2, 5, and 3) plus the last digit (1), which is an estimate or approximation. As we improve the sensitivity of the equipment used to make a measurement, the number of significant figures increases.

Postage Scale 3 ?1 g 1 significant figure
Two-pan balance 2.53 ?0.01 g 3 significant figures
Analytical balance 2.531 ?0.001 g 4 significant figures

Rules for counting significant figures are summarized below.

Zeros within a number are always significant. Both 4308 and 40.05 contain four significant figures.

Zeros that do nothing but set the decimal point are not significant. Thus, 470,000 has two significant figures.

Trailing zeros that aren't needed to hold the decimal point are significant. For example, 4.00 has three significant figures.

If you are not sure whether a digit is significant, assume that it isn't. For example, if the directions for an experiment read: "Add the sample to 400 mL of water," assume the volume of water is known to one significant figure.
3...Addition and Subtraction with Significant Figures

When combining measurements with different degrees of accuracy and precision, the accuracy of the final answer can be no greater than the least accurate measurement. This principle can be translated into a simple rule for addition and subtraction: When measurements are added or subtracted, the answer can contain no more decimal places than the least accurate measurement.

150.0 g H2O (using significant figures)
+ 0.507 g salt
150.5 g solution
4..
Multiplication and Division With Significant Figures

The same principle governs the use of significant figures in multiplication and division: the final result can be no more accurate than the least accurate measurement. In this case, however, we count the significant figures in each measurement, not the number of decimal places: When measurements are multiplied or divided, the answer can contain no more significant figures than the least accurate measurement.

General Science


1..A system flow chart, or data flow chart, is used to describe the flow of data through a complete data-processing system. Different graphic symbols represent the clerical operations involved and the different input, storage, and output equipment required. Although the flow chart may indicate the specific programs used, no details are given of how the programs process the data.

2..A program flow chart is used to describe the flow of data through a particular computer program, showing the exact sequence of operations performed by that program in order to process the data. Different graphic symbols are used to represent data input and output, decisions, branches, and subroutines
3..

A flowchart is a diagrammatic representation that illustrates the sequence of operations to be performed to get the solution of a problem. Flowcharts are generally drawn in the early stages of formulating computer solutions. Flowcharts facilitate communication between programmers and business people. These flowcharts play a vital role in the programming of a problem and are quite helpful in understanding the logic of complicated and lengthy problems. Once the flowchart is drawn, it becomes easy to write the program in any high level language. Often we see how flowcharts are helpful in explaining the program to others. Hence, it is correct to say that a flowchart is a must for the better documentation of a complex program
4...The following are some guidelines in flowcharting:

In drawing a proper flowchart, all necessary requirements should be listed out in logical order.
A...The flowchart should be clear, neat and easy to follow. There should not be any room for ambiguity in understanding the flowchart.
B..The usual direction of the flow of a procedure or system is from left to right or top to bottom.
C...Only one flow line should come out from a process symbol.

Saturday, December 09, 2006

maths question for net


1...let H be a subgroup of a group (G,*).consider the following statements 1..a,b elements of H==a*b element of H.2.a element of H==inverse a belongs to H.which one is correct..
2..the number of signifacnt figure in 4.05670
3..the real roots of x*2+4.mod x +3=o.
4..the sum of all two digit odd numbers.
5..the sum of all two digit number,which when divided by 4, yield unity as remainder.
6..A and B play a game, where each is asked to slect a number from 1 to 25.if two numbers match,both of them win a prize.find the probability that they will not win a prize in a single trial.
7..HOW many words can be made from the word MATHEMATICS.
8..Find the sum of all numbers that formed with the digits 2,3,4,5 taken all at a time.
9..the greatest value of 4/x*2+2x+3.
10..two finite sets have m and n elements.the total number of subsets of the first set is 56 more, than the total number of subsets of the second.the value of m and n are...

QUESTION FOR NET

A..Abbreviation of central processing unit, and pronounced as separate letters. The CPU is the brains of the computer. Sometimes referred to simply as the processor or central processor, the CPU is where most calculations take place. In terms of computing power, the CPU is the most important element of a computer system.
B... On large machines, CPUs require one or more printed circuit boards. On personal computers and small workstations, the CPU is housed in a single chip called a microprocessor.

Two typical components of a CPU are:

The arithmetic logic unit (ALU), which performs arithmetic and logical operations.
The control unit (CU), which extracts instructions from memory and decodes and executes them, calling on the ALU when necessary.






1...A global network connecting millions of computers. More than 100 countries are linked into exchanges of data, news and opinions.
Unlike online services, which are centrally controlled, the Internet is decentralized by design. Each Internet computer, called a host, is independent. Its operators can choose which Internet services to use and which local services to make available to the global Internet community. Remarkably, this anarchy by design works exceedingly well.

There are a variety of ways to access the Internet. Most online services, such as America Online, offer access to some Internet services. It is also possible to gain access through a commercial Internet Service Provider (ISP).

The Internet is not synonymous with World Wide Web.
2.... vocabulary and set of grammatical rules for instructing a computer to perform specific tasks. The term programming language usually refers to high-level languages, such as BASIC, C, C++, COBOL, FORTRAN, Ada, and Pascal. Each language has a unique set of keywords (words that it understands) and a special syntax for organizing program instructions.High-level programming languages, while simple compared to human languages, are more complex than the languages the computer actually understands, called machine languages. Each different type of CPU has its own unique machine language.

Lying between machine languages and high-level languages are languages called assembly languages. Assembly languages are similar to machine languages, but they are much easier to program in because they allow a programmer to substitute names for numbers. Machine languages consist of numbers only.

Lying above high-level languages are languages called fourth-generation languages (usually abbreviated 4GL). 4GLs are far removed from machine languages and represent the class of computer languages closest to human languages.
3..Internal storage areas in the computer. The term memory identifies data storage that comes in the form of chips, and the word storage is used for memory that exists on tapes or disks. Moreover, the term memory is usually used as a shorthand for physical memory, which refers to the actual chips capable of holding data. Some computers also use virtuaEvery computer comes with a certain amount of physical memory, usually referred to as main memory or RAM. You can think of main memory as an array of boxes, each of which can hold a single byte of information. A computer that has 1 megabyte of memory, therefore, can hold about 1 million bytes (or characters) of information.

There are several different types of memory:

RAM (random-access memory): This is the same as main memory. When used by itself, the term RAM refers to read and write memory; that is, you can both write data into RAM and read data from RAM. This is in contrast to ROM, which permits you only to read data. Most RAM is volatile, which means that it requires a steady flow of electricity to maintain its contents. As soon as the power is turned off, whatever data was in RAM is lost.
4..ROM (read-only memory): Computers almost always contain a small amount of read-only memory that holds instructions for starting up the computer. Unlike RAM, ROM cannot be written to.
PROM (programmable read-only memory): A PROM is a memory chip on which you can store a program. But once the PROM has been used, you cannot wipe it clean and use it to store something else. Like ROMs, PROMs are non-volatile.
EPROM (erasable programmable read-only memory): An EPROM is a special type of PROM that can be erased by exposing it to ultraviolet light.
EEPROM (electrically erasable programmable read-only memory): An EEPROM is a special type of PROM that can be erased by exposing it to an electrical charge.

Friday, December 08, 2006

Question of the week


1..El Nino, an abnormal warming of surface ocean waters in the eastern tropical Pacific, is one part of what's called the Southern Oscillation. The Southern Oscillation is the see-saw pattern of reversing surface air pressure between the eastern and western tropical Pacific; when the surface pressure is high in the eastern tropical Pacific it is low in the western tropical Pacific, and vice-versa. Because the ocean warming and pressure reversals are, for the most part, simultaneous, scientists call this phenomenon the El Nino/Southern Oscillation or ENSO for short. South American fisherman have given this phenomenon the name El Nino, which is Spanish for "The Christ Child," because it comes about the time of the celebration of the birth of the Christ Child-Christmas.
2.... Scientists do not really understand how El Nino forms. It is believed that El Nino may have contributed to the 1993 Mississippi and 1995 California floods, drought conditions in South America, Africa and Australia. It is also believed that El Nino contributed to the lack of serious storms such as hurricanes in the North Atlantic which spared states like Florida from serious storm related damage.

Unfortunately not all El Nino's are the same nor does the atmosphere always react in the same way from one El Nino to another. This is why NASA's Earth scientists continue to take part in international efforts to understand El Nino events. Hopefully one day scientists will be able to provide sufficient warning so that we can be better prepared to deal with the damages and changes that El Nino causes in the weather.

Questions of the week


1...The Dead Sea is completely landlocked and it gets saltier with increasing depth. The surface, fed by the River Jordan, is the least saline. Down to about 130 feet (40 meters), the seawater comprises about 300 grams of salt per kilogram of seawater. That's about ten times the salinity of the oceans. Below 300 feet, though, the sea has 332 grams of salt per kilogram of seawater and is saturated. Salt precipitates out and piles up on the bottom of the sea.
2..
La Niña translates from Spanish as "the girl-child". The term "La Niña" has recently become the conventional meteorological label for the opposite of the better known El Niño.

The term La Niña refers to the extensive cooling of the central and eastern Pacific Ocean. In Australia (particularly eastern Australia), La Niña events are associated with increased probability of wetter conditions.

A Changes to the atmosphere and ocean circulation during La Niña events include:

1.Cooler than normal ocean temperatures across the central and eastern tropical Pacific Ocean.
2..Increased convection or cloudiness over tropical Australia, Papua New-Guinea, and Indonesia.
3.Stronger than normal (easterly) trade winds across the Pacific Ocean (but not necessarily in the Australian region).
4..High (positive) values of the SOI (Southern Oscillation Index).
3...A monsoon is a wind pattern that reverses direction with the seasons. The term was originally applied to seasonal winds in the Indian Ocean and Arabian Sea. The word is also used more specifically for the season in which this wind blows from the southwest in India and adjacent areas that is characterized by very heavy rainfall, and especially, for the rainfall associated with this wind.
4....
Three distinct types of ocean resource are commonly mentioned as possible energy sources: tides, waves, and ocean temperature differentials (ocean thermal energy conversion, or OTEC). For example, tidal energy schemes capture water at high tide and release it at low tide. Wave energy generation devices fall into two general classifications, fixed and floating. In both cases, the oscillating motion of an incoming and outgoing wave is used to drive turbines that generate electricuty. Tide energy systems traps high tides in a reservoir. When the tide drops, the water behind the reservoir flows through a power turbine, generating electricity. Ocean thermal energy conversion uses the difference in temperature between warm surface water and cold deep ocean water to make electricity.
5...
light wave, like any wave, is an energy-transport phenomenon. A light wave transports energy from one location to another. When a light wave strikes a boundary between two distinct media, a portion of the energy will be transmitted into the new medium and a portion of the energy will be reflected off the boundary and stay within the original medium. The actual percentage of energy which is transmitted and reflected is dependent upon a number of variables; now,we review and internalize the basic concepts and terminology associated with boundary behavior. Reflection of a light wave involves the bouncing of a light wave off the boundary, while refraction of a light wave involves the bending of the path of a light wave upon crossing a boundary and entering a new medium. Both reflection and refraction involve a change in direction of a wave, but only refraction involves a change in medium.

Questions of the week


1..Isomorphism is the existence of two or more substances that have the same crystal structure, so that they form solid solutions
2..
is observed that a higher temperature object which is in contact with a lower temperature object will transfer heat to the lower temperature object. The objects will approach the same temperature, and in the absence of loss to other objects, they will then maintain a constant temperature. They are then said to be in thermal equilibrium. The transfer of heat is normally from a high temperature object to a lower temperature object. Heat transfer changes the internal energy of both systems involved according to the First Law of Thermodynamics.
ermal equilibrium is the subject of the Zeroth Law of Thermodynamics.
3..The second law of thermodynamics is a general principle which places constraints upon the direction of heat transfer and the attainable efficiencies of heat engines. In so doing, it goes beyond the limitations imposed by the first law of thermodynamics. It's implications may be visualized in terms of the waterfall analogy
4..Second Law of Thermodynamics: It is impossible to extract an amount of heat QH from a hot reservoir and use it all to do work W . Some amount of heat QC must be exhausted to a cold reservoir. This precludes a perfect heat engine.

This is sometimes called the "first form" of the second law, and is referred to as the Kelvin-Planck statement of the second law.

5..The Celsius, Kelvin, and Fahrenheit temperature scales are shown in relation to the phase change temperatures of water. The Kelvin scale is called absolute temperature and the Kelvin is the SI unit for temperatureThe triple point of water is 273.16 K, and that is an international standard temperature point. The freezing point of water at one atmosphere pressure, 0.00°C, is 0.01K below that at 273.15 K. If you want to be really precise about it, the boiling point is 373.125 K, or 99.75 °C. But for general purposes, just 0 °C and 100 °C are precise enough.

6..Four quantities called "thermodynamic potentials" are useful in the chemical thermodynamics of reactions and non-cyclic processes. They are internal energy, the enthalpy, the Helmholtz free energy and the Gibbs free energy. Enthalpy is defined by

H = U + PV
7...An ideal gas is defined as one in which all collisions between atoms or molecules are perfectly eleastic and in which there are no intermolecular attractive forces. One can visualize it as a collection of perfectly hard spheres which collide but which otherwise do not interact with each other. In such a gas, all the internal energy is in the form of kinetic energy and any change in internal energy is accompanied by a change in temperature.

An ideal gas can be characterized by three state variables: absolute pressure (P), volume (V), and absolute temperature (T).
8..
Transitions between solid, liquid, and gaseous phases typically involve large amounts of energy compared to the specific heat. If heat were added at a constant rate to a mass of ice to take it through its phase changes to liquid water and then to steam, the energies required to accomplish the phase changes (called the latent heat of fusion and latent heat of vaporization ) would lead to plateaus in the temperature vs time graph. The graph below presumes that the pressure is one standard atmosphere.

1..A plant has two organ systems: 1) the shoot system, and 2) the root system. The shoot system is above ground and includes the organs such as leaves, buds, stems, flowers (if the plant has any), and fruits (if the plant has any). The root system includes those parts of the plant below ground, such as the roots, tubers, and rhizomes.
2..Plant cells are formed at meristems, and then develop into cell types which are grouped into tissues. Plants have only three tissue types: 1) Dermal; 2) Ground; and 3) Vascular. Dermal tissue covers the outer surface of herbaceous plants. Dermal tissue is composed of epidermal cells, closely packed cells that secrete a waxy cuticle that aids in the prevention of water loss. The ground tissue comprises the bulk of the primary plant body. Parenchyma, collenchyma, and sclerenchyma cells are common in the ground tissue. Vascular tissue transports food, water, hormones and minerals within the plant. Vascular tissue includes xylem, phloem, parenchyma, and cambium cells.
3..Plant cell types rise by mitosis from a meristem. A meristem may be defined as a region of localized mitosis. Meristems may be at the tip of the shoot or root (a type known as the apical meristem) or lateral, occurring in cylinders extending nearly the length of the plant. A cambium is a lateral meristem that produces (usually) secondary growth. Secondary growth produces both wood and cork (although from separate secondary meristems).
4.. Xylem and phloem make up the big transportation system of vascular plants. As you get bigger, it is more difficult to transport nutrients, water, and sugars around your body. You have a circulatory system if you want to keep growing. As plants evolved to be larger, they also developed their own kind of circulatory systems
5..The xylem of a plant is the system of tubes and transport cells that circulates water and dissolved minerals. As a plant, you have roots to help you absorb water. If your leaves need water and they are 100 feet above the ground, it is time to put the xylem into action! Xylem is made of vessels that are connected end to end for the maximum speed to move water around. They also have a secondary function of support. When someone cuts an old tree down, they reveal a set of rings. Those rings are the remains of old xylem tissue, one ring for every year the tree was alive
6..Stems are usually above ground organs and grow towards light (positively phototropic) and away from the ground (negatively geotropic), except in the case of certain metamorphic (modified) stems.

The main stem develops from the plumule of the embryo, while lateral branches develop from auxillary buds or from adventitious buds. In normal stems clearly defined internodes and nodes can be distinguished, the latter being the regions where the leaves are attached. In younger stems stomata are found in the epidermis while in the mature stems lenticels are evident. Depending on the hardness of the stem one can also distinguish between herbaceous and woody stems.

In this section we will discuss the internal structures of young dicotyledonous and monocotyledonous stems, secondary thickening in the stems of dicots, and differences in the internal structures of dicots and monocots.

Thursday, December 07, 2006

QUESTION FOR NET


Area
1..The area of a figure measures the size of the region enclosed by the figure. This is usually expressed in terms of some square unit. A few examples of the units used are square meters, square centimeters, square inches, or square kilometers.
2..Area of a Square
If L is the side-length of a square, the area of the square is L*2 or L × L.
3..Area of a Rectangle
The area of a rectangle is the product of its width and length.
4.Area of a Parallelogram
The area of a parallelogram is b × h, where b is the length of the base of the parallelogram, and h is the corresponding height. To picture this, consider the parallelogram below:
5..
Area of a Trapezoid
If a and b are the lengths of the two parallel bases of a trapezoid, and h is its height, the area of the trapezoid is
1/2 × h × (a + b) .
6...Consider a triangle with base length b and height h.
The area of the triangle is 1/2 × b × h.
7...
Space Figure
A space figure or three-dimensional figure is a figure that has depth in addition to width and height. Some common simple space figures include cubes, spheres, cylinders, prisms, cones, and pyramids. A space figure having all flat faces is called a polyhedron. A cube and a pyramid are both polyhedrons; a sphere, cylinder, and cone are not.
8..
Volume
Volume is a measure of how much space a space figure takes up. Volume is used to measure a space figure just as area is used to measure a plane figure. The volume of a cube is the cube of the length of one of its sides. The volume of a box is the product of its length, width, and height.
9..Surface Area
The surface area of a space figure is the total area of all the faces of the figure
10...Cube
A cube is a three-dimensional figure having six matching square sides. If L is the length of one of its sides, the volume of the cube is L3 = L × L × L. A cube has six square-shaped sides. The surface area of a cube is six times the area of one of these sides.
11..A cylinder is a space figure having two congruent circular bases that are parallel. If L is the length of a cylinder, and r is the radius of one of the bases of a cylinder, then the volume of the cylinder is L × pi × r*2, and the surface area is 2 × r × pi × L + 2 × pi × r*2.
12...
Sphere
A sphere is a space figure having all of its points the same distance from its center. The distance from the center to the surface of the sphere is called its radius. Any cross-section of a sphere is a circle.
If r is the radius of a sphere, the volume V of the sphere is given by the formula V = 4/3 × pi ×r*3.
The surface area S of the sphere is given by the formula S = 4 × pi ×r*2.
13..
Cone
A cone is a space figure having a circular base and a single vertex.
If r is the radius of the circular base, and h is the height of the cone, then the volume of the cone is 1/3 × pi × r2 × h.
14..Pyramid
A pyramid is a space figure with a square base and 4 triangle-shaped sides.
15..Tetrahedron
A tetrahedron is a 4-sided space figure. Each face of a tetrahedron is a triangle.
16..
Prism
A prism is a space figure with two congruent, parallel bases that are polygons.

QUESTION FOR NET


1..Radioactivity is the spontaneous disintegration of atomic nuclei. The nucleus emits particles, ß particles, or electromagnetic rays during this process.
2..Alpha decay occurs when the nucleus spontaneously ejects an particle. An particle is really 2 protons and 2 neutrons, or an He nucleus. So when an atom undergoes decay, its atomic number decreases by 2 and its atomic mass decreases by 4. particles do not penetrate much material, for they can be stopped by paper. An example of decay is the following:

Pu239 U235 + particle (He-4 nucleus)
3..There are two types of ß decay; ß+ and ß- decay. An excess of neutrons in an atom's nucleus will make it unstable, and a neutron is converted into a proton to change this ratio. During this process, a ß particle is released, and it has the same mass and charge as an electron. The resulting atom and the ß particle have a total mass which is less than the mass of the original atom, and one would think that the ß particles should have the energy equivalent to the mass lost (E = mc2). But ß particles aren't mono-energetic, and have a broad energy spectrum from zero to the maximum energy predicted. So the ß particle is accompanied by virtually massless and chargeless particles called neutrinos, whose kinetic energy makes up for the energy difference still remaining. As a result of ß- decay, the atomic number of the atom increases by 1
3...Sometimes it is not energetically feasible to convert a proton into a neutron by emitting a positron (ß+ decay). In these cases, electron capture, or K capture occurs. This is where the nucleus captures an electron from an inner orbital, usually K orbital, and converts a proton into a neutron with it. The difference in mass is converted into a gamma ray and a neutrino.
4...
Gamma ray emission usually occurs with and ß emission. Gamma rays have no charge or mass, so their emission doesn't change the chemical composition of the atom. Instead, it results in a loss of radiant energy. Gamma ray emission occurs because the nucleus is often unstable after and ß decay. There are cases where pure gamma emission occurs, and this is where an isotope exists in two forms (nuclear isomers). They have the same atomic and mass numbers, but have different nuclear-energy content. So gamma emission occurs when the isomer goes from a higher to a lower energy form. The isotope protactinium-234 exists in two different energy states, and it emits gamma rays when undergoing transition to the lower-energy state
5..A sample of a radioactive substance will decay into various particles. The rate of decay is measured by how long it takes for half the sample to decay. The decay of an individual atom is totally random, but for a large sample size, we can get a good prediction of the half life.
6..
radioactive decay series is the chain of decays that occur starting with a radioactive isotope. An example of this is the uranium-radium series:


Uranium-238 decays thorium-234

Thorium-234 decays protactinium-234

Protactinium-234 ß decays to form uranium-234

Uranium-234 decays thorium-230

Thorium decays radium-226
Radium-226 goes through five more decays and four more ß decays to yield the non-radioactive isotope 206Pb, or lead. This series is also called the 4n+2 series, because the mass numbers of each of the isotopes in the series can be represented by 4n+2, where n is an integer. The thorium series is a 4n series; it starts at thorium-232 and the end result is 208>Pb. The actinium series, or 4n+3 series, begins with uranium-235 and ends at Pb-207.
7..Ionizing radiation causes physical damage to cells and DNA. Ionizing radiation has energy that results in the formation of excited molecules. This radiation can excite DNA and result in the destruction on the DNA backbone. DNA is also damaged by other molecules that are produced by radiation, such as hydrogen peroxide from water. At high doses of radiation (10,000 - 15,000 rads), death occurs in a few hours because of neurological and cardiovascular breakdown (Central Nervous Syndrome). Medium doses, 500 - 1200 rads, causes death to occur in a few days because of the destruction of the gastrointestinal mucosa. Lower doses, 250 - 500 rads, causes death to occur after several weeks due to damage of the blood forming organs (hematopoietic syndrome).
8..
Units of Radioactivity:
Roentgen (R) - Defined as the amount of ionizing radiation which produces 2.08 x 109 ion pairs in 1cm3 of air.

RAD (Radiation Absorbed Dose) - A rad is the amount of radiation that puts 10 J of energy in 1kg of absorbing material.

RBE (Relative Biological Effectiveness) - The biological risk a, B, and Y radiation differ; The RBE factor compares the number of rads of x-radiation or y radiation that produce the same biological damage as a rad of the radiation used.

REM (Roentgen Equivalent in Man) - Product of amount of rad and the RBE factor.

Gray (Gy) - 100 rads.

Sievert (Sv) - 100 rem.

QUESTIONS FOR NET


1..area of tringle with sides 4,11,9.
2.a person goes from A to B with speed 60 kilometer per hour and return back with 40 kilometer per hour.what is his average speed..
3.what is probability of 53 sundays in a leap year.
4..which is greater sin1 or sin1 degree
5.. total divisors of 3600
6..number of proper subset of a set having n elements.
7..sum of internal angeles of 7-gon.
8..10 peoples can sit around a table in howmany ways.
9..does a syestem homogeneous linear equation always has a solution.
10..is phi is rational.

QUESTIONS FOR NET





1..The average adult has about five liters of blood living inside of their body, coursing through their vessels, delivering essential elements, and removing harmful wastes. Without blood, the human body would stop working.
Blood is the fluid of life, transporting oxygen from the lungs to body tissue and carbon dioxide from body tissue to the lungs. Blood is the fluid of growth, transporting nourishment from digestion and hormones from glands throughout the body. Blood is the fluid of health, transporting disease fighting substances to the tissue and waste to the kidneys.

Because it contains living cells, blood is alive. Red blood cells and white blood cells are responsible for nourishing and cleansing the body. Since the cells are alive, they too need nourishment. Vitamins and Minerals keep the blood healthy. The blood cells have a definite life cycle, just as all living organisms do.

Approximately 55 percent of blood is plasma, a straw-colored clear liquid. The liquid plasma carries the solid cells and the platelets which help blood clot. Without blood platelets, you would bleed to death.

When the human body loses a little bit of blood through a minor wound, the platelets cause the blood to clot so that the bleeding stops. Because new blood is always being made inside of your bones, the body can replace the lost blood. When the human body loses a lot of blood through a major wound, that blood has to be replaced through a blood transfusion from other people.

But everybody's blood is not the same. There are four different blood types. Plus, your blood has Rh factors which make it even more unique. Blood received through a transfusion must match your own. Patients who are scheduled to have major surgery make autologous blood donations (donations of their own blood) so that they have a perfect match.

2..Lichens are unusual creatures. A lichen is not a single organism the way most other living things are, but rather it is a combination of two organisms which live together intimately. Most of the lichen is composed of fungal filaments, but living among the filaments are algal cells, usually from a green alga or a cyanobacterium.

In many cases the fungus and the alga which together make the lichen may each be found living in nature without its partner, but many other lichens include a fungus which cannot survive on its own -- it has become dependent on its algal partner for survival. In all cases though, the appearance of the fungus in the lichen is quite different from its morphology as a separately growing individual.

3.. convex mirror was described as a portion of a sphere which had been sliced away. If the outside of the sphere is silvered such that it can reflect light, then the mirror is said to be convex. The center of that original sphere is known as the center of curvature (C) and the line which passes from the mirror's surface through the sphere's center is known as the principal axis. The mirror has a focal point (F) which is located along the principal axis, midway between the mirror's surface and the center of curvature. Note that the center of curvature and the focal point are located on the side of the mirror opposite the object - behind the mirror. Since the focal point is located behind the convex mirror, such a mirror is said to have a negative focal length value.
4..The surface tension of water provides the necessary wall tension for the formation of bubbles with water. The tendency to minimize that wall tension pulls the bubbles into spherical shapes (LaPlace's law).

The pressure difference between the inside and outside of a bubble depends upon the surface tension and the radius of the bubble. The relationship can be obtained by visualizing the bubble as two hemispheres and noting that the internal pressure which tends to push the hemispheres apart is counteracted by the surface tension acting around the cirumference of the circle.

5.. A local area network (LAN) is a group of computers and associated devices that share a common communications line or wireless link. Typically, connected devices share the resources of a single processor or server within a small geographic area (for example, within an office building). Usually, the server has applications and data storage that are shared in common by multiple computer users. A local area network may serve as few as two or three users (for example, in a home network) or as many as thousands of users (for example, in an FDDI network).
6..Vitamin A and carotene can be obtained from either animal or vegetable sources. The animal form is divided between retinol and dehydroretinol whereas the vegetable carotene can be split into four very potent groups - alpha-carotene, beta-carotene, gamma-carotene and crypto-carotene. With enough beta-carotene available in the body, the body can manufacture its own vitamin A.

7...Integrated Circuits are usually called ICs or chips. They are complex circuits which have been etched onto tiny chips of semiconductor (silicon). The chip is packaged in a plastic holder with pins spaced on a 0.1" (2.54mm) grid which will fit the holes on stripboard and breadboards. Very fine wires inside the package link the chip to the pins.

8..Viscosity is an internal property of a fluid that offers resistance to flow. For example, pushing a spoon with a small force moves it easily through a bowl of water, but the same force moves mashed potatoes very slowly. In fact, one of the major differences between styles of mashed potatoes is the viscosity of the starchy mass: some people like their potatoes running and teeming with milk and butter (they are fans of low-viscosity potatoes), while others like their potatoes drier and stickier, so they almost crack rather than flow (these people are devoted to high-viscosity potatoes).

9.. The electromagnetic (EM) spectrum is just a name that scientists give a bunch of types of radiation when they want to talk about them as a group. Radiation is energy that travels and spreads out as it goes-- visible light that comes from a lamp in your house or radio waves that come from a radio station are two types of electromagnetic radiation. Other examples of EM radiation are microwaves, infrared and ultraviolet light, X-rays and gamma-rays. Hotter, more energetic objects and events create higher energy radiation than cool objects. Only extremely hot objects or particles moving at very high velocities can create high-energy radiation like X-rays and gamma-rays.Radio wave..

10..
A gene can be defined as a region of DNA that controls a hereditary characteristic. It usually corresponds to a sequence used in the production of a specific protein or RNA.

A gene carries biological information in a form that must be copied and transmitted from each cell to all its progeny. This includes the entire functional unit: coding DNA sequences, non-coding regulatory DNA sequences, and introns.

Genes can be as short as 1000 base pairs or as long as several hundred thousand base pairs. It can even be carried by more than one chromosome.

The estimate for the number of genes in humans has decreased as our knowledge has increased. As of 2001, humans are thought to have between 30,000 and 40,000 genes.

Net First Paper




What are "series" and "parallel" circuits?
Circuits consisting of just one battery and one load resistance are very simple to analyze, but they are not often found in practical applications. Usually, we find circuits where more than two components are connected together.

There are two basic ways in which to connect more than two circuit components: series and parallel. First, an example of a series circuit:

Here, we have three resistors (labeled R1, R2, and R3), connected in a long chain from one terminal of the battery to the other. (It should be noted that the subscript labeling -- those little numbers to the lower-right of the letter "R" -- are unrelated to the resistor values in ohms. They serve only to identify one resistor from another.) The defining characteristic of a series circuit is that there is only one path for electrons to flow. In this circuit the electrons flow in a counter-clockwise direction, from point 4 to point 3 to point 2 to point 1 and back around to 4.

Now, let's look at the other type of circuit, a parallel configuration
Again, we have three resistors, but this time they form more than one continuous path for electrons to flow. There's one path from 8 to 7 to 2 to 1 and back to 8 again. There's another from 8 to 7 to 6 to 3 to 2 to 1 and back to 8 again. And then there's a third path from 8 to 7 to 6 to 5 to 4 to 3 to 2 to 1 and back to 8 again. Each individual path (through R1, R2, and R3) is called a branch.

The defining characteristic of a parallel circuit is that all components are connected between the same set of electrically common points. Looking at the schematic diagram, we see that points 1, 2, 3, and 4 are all electrically common. So are points 8, 7, 6, and 5. Note that all resistors as well as the battery are connected between these two sets of points.

And, of course, the complexity doesn't stop at simple series and parallel either! We can have circuits that are a combination of series and parallel, too:

In this circuit, we have two loops for electrons to flow through: one from 6 to 5 to 2 to 1 and back to 6 again, and another from 6 to 5 to 4 to 3 to 2 to 1 and back to 6 again. Notice how both current paths go through R1 (from point 2 to point 1). In this configuration, we'd say that R2 and R3 are in parallel with each other, while R1 is in series with the parallel combination of R2 and R3.

This is just a preview of things to come. Don't worry! We'll explore all these circuit configurations in detail, one at a time!

The basic idea of a "series" connection is that components are connected end-to-end in a line to form a single path for electrons to flow:

Wednesday, December 06, 2006

Past Years Questions


1.The Ring of Fire is a zone of frequent earthquakes and volcanic eruptions that encircles the basin of the Pacific Ocean. It is shaped like a horseshoe and it is 40,000 km long. It is associated with a nearly continuous series of oceanic trenches, island arcs, and volcanic mountain ranges and/or plate movements. It is sometimes called the circum-Pacific belt or the circum-Pacific seismic belt.

90% of the world's earthquakes and 81% of the world's largest earthquakes occur along the Ring of Fire. The next most seismic region (5­6% of earthquakes and 17% of the world's largest earthquakes) is the Alpide belt which extends from Java to Sumatra through the Himalayas, the Mediterranean, and out into the Atlantic. The Mid-Atlantic Ridge is the third most prominent earthquake belt.

2..Low salinity water (light blue region at 10-150 north) lies in the polar and subpolar regions and near the equator. The equatorial region of low salinity ocean water lies below an atmospheric region called the "intertropical convergence zoneThe intertropical convergence zone moves about the equator as the intense heat in the equatorial area produces a rising mass of moisture-laden air, thereby creating a region of low atmospheric pressure.

The equatorial low pressure system pulls air and moisture from adjacent regions towards the equator. Consequently, air masses converge in this region from north and south of the equator, bringing moisture acquired by evaporation in the subtropical regions.

The warm, humid air along the equator rises (because of its low density) and cools, allowing water vapor to condense, which results in rainfall, causing precipitation to exceed evaporation in equatorial regions.

3...The Earth is rotating around an axis (called its rotational axis). Some objects rotate about a horizontal axis, like a rolling log. Some objects, such as a skater, rotate about a vertical axis. The Earth's axis is tipped over about 23.5° from vertical






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Mendal,s Law




Mendel's First Law of Genetics (Law of Segregation)
Genetic analysis predates Gregor Mendel, but Mendel's laws form the theoretical basis of our understanding of the genetics of inheritance.

Mendel made two innovations to the science of genetics:



1. developed pure lines
2. counted his results and kept statistical notes
Pure Line - a population that breeds true for a particular trait [this was an important innovation because any non-pure (segregating) generation would and did confuse the results of genetic experiments]
Mendel's Law of Independent Assortment
To this point we have followed the expression of only one gene. Mendel also performed crosses in which he followed the segregation of two genes. These experiments formed the basis of his discovery of his second law, the law of independent assortment. First, a few terms are presented.

Dihybrid cross - a cross between two parents that differ by two pairs of alleles (AABB x aabb)

Dihybrid- an individual heterozygous for two pairs of alleles (AaBb)

Again a dihybrid cross is not a cross between two dihybrids. Now, let's look at a dihybrid cross that Mendel performed.

Parental Cross: Yellow, Round Seed x Green, Wrinkled Seed

F1 Generation: All yellow, round

F2 Generation: 9 Yellow, Round, 3 Yellow, Wrinkled, 3 Green, Round, 1 Green, Wrinkled

At this point, let's diagram the cross using specific gene symbols.

Choose Symbol Seed Color: Yellow = G; Green = g
Seed Shape: Round = W; Wrinkled = w


The dominance relationship between alleles for each trait was already known to Mendel when he made this cross. The purpose of the dihybrid cross was to determine if any relationship existed between different allelic pairs.

science for net


Electron Affinity

Ionization energies measure the tendency of a neutral atom to resist the loss of electrons. It takes a considerable amount of energy, for example, to remove an electron from a neutral fluorine atom to form a positively charged ion.

F(g) F+(g) + e- Ho = 1681.0 kJ/mol

The electron affinity of an element is the energy given off when a neutral atom in the gas phase gains an extra electron to form a negatively charged ion. A fluorine atom in the gas phase, for example, gives off energy when it gains an electron to form a fluoride ion.

F(g) + e- F-(g) Ho = -328.0 kJ/mol
Electron affinities generally become smaller as we go down a column of the periodic table for two reasons. First, the electron being added to the atom is placed in larger orbitals, where it spends less time near the nucleus of the atom. Second, the number of electrons on an atom increases as we go down a column, so the force of repulsion between the electron being added and the electrons already present on a neutral atom becomes larger.
Electron affinity data are complicated by the fact that the repulsion between the electron being added to the atom and the electrons already present on the atom depends on the volume of the atom. Among the nonmetals in Groups VIA and VIIA, this force of repulsion is largest for the very smallest atoms in these columns: oxygen and fluorine. As a result, these elements have a smaller electron affinity than the elements below them in these columns as shown in the figure below. From that point on, however, the electron affinities decrease as we continue down these columns

Science for Net


To understand binary numbers, begin by recalling elementary school math. When we first learned about numbers, we were taught that, in the decimal system, things are organized into columns:

H | T | O
1 | 9 | 3

such that "H" is the hundreds column, "T" is the tens column, and "O" is the ones column. So the number "193" is 1-hundreds plus 9-tens plus 3-ones.

Years later, we learned that the ones column meant 10^0, the tens column meant 10^1, the hundreds column 10^2 and so on, such that

10^2|10^1|10^0
1 | 9 | 3

the number 193 is really {(1*10^2)+(9*10^1)+(3*10^0)}.

As you know, the decimal system uses the digits 0-9 to represent numbers. If we wanted to put a larger number in column 10^n (e.g., 10), we would have to multiply 10*10^n, which would give 10^(n+1), and be carried a column to the left. For example, putting ten in the 10^0 column is impossible, so we put a 1 in the 10^1 column, and a 0 in the 10^0 column, thus using two columns. Twelve would be 12*10^0, or 10^0(10+2), or 10^1+2*10^0, which also uses an additional column to the left (12).

The binary system works under the exact same principles as the decimal system, only it operates in base 2 rather than base 10. In other words, instead of columns being


10^2|10^1|10^0

they are
2^2|2^1|2^0

Instead of using the digits 0-9, we only use 0-1 (again, if we used anything larger it would be like multiplying 2*2^n and getting 2^n+1, which would not fit in the 2^n column. Therefore, it would shift you one column to the left. For example, "3" in binary cannot be put into one column. The first column we fill is the right-most column, which is 2^0, or 1. Since 3>1, we need to use an extra column to the left, and indicate it as "11" in binary (1*2^1) + (1*2^0).Binary Addition
Consider the addition of decimal numbers:

23
+48
___

We begin by adding 3+8=11. Since 11 is greater than 10, a one is put into the 10's column (carried), and a 1 is recorded in the one's column of the sum. Next, add {(2+4) +1} (the one is from the carry)=7, which is put in the 10's column of the sum. Thus, the answer is 71.

Binary addition works on the same principle, but the numerals are different. Begin with one-bit binary addition:

0 0 1
+0 +1 +0
___ ___ ___
0 1 1

1+1 carries us into the next column. In decimal form, 1+1=2. In binary, any digit higher than 1 puts us a column to the left (as would 10 in decimal notation). The decimal number "2" is written in binary notation as "10" (1*2^1)+(0*2^0). Record the 0 in the ones column, and carry the 1 to the twos column to get an answer of "10." In our vertical notation,

1
+1
___
10Multiplication in the binary system works the same way as in the decimal system:

1*1=1
1*0=0
0*1=0

101
* 11
____
101
1010
_____
1111

Binary Division
Follow the same rules as in decimal division. For the sake of simplicity, throw away the remainder.

For Example: 111011/11


10011 r 10
_______
11)111011
-11
______
101
-11
______
101
11
______
10

Decimal to Binary
Converting from decimal to binary notation is slightly more difficult conceptually, but can easily be done once you know how through the use of algorithms. Begin by thinking of a few examples. We can easily see that the number 3= 2+1. and that this is equivalent to (1*2^1)+(1*2^0). This translates into putting a "1" in the 2^1 column and a "1" in the 2^0 column, to get "11". Almost as intuitive is the number 5: it is obviously 4+1, which is the same as saying [(2*2) +1], or 2^2+1. This can also be written as [(1*2^2)+(1*2^0)]. Looking at this in columns,

2^2 | 2^1 | 2^0
1 0 1

or 101.

What we're doing here is finding the largest power of two within the number (2^2=4 is the largest power of 2 in 5), subtracting that from the number (5-4=1), and finding the largest power of 2 in the remainder (2^0=1 is the largest power of 2 in 1). Then we just put this into columns. This process continues until we have a remainder of 0. Let's take a look at how it works. We know that:

2^0=1
2^1=2
2^2=4
2^3=8
2^4=16
2^5=32
2^6=64
2^7=128
Binary numbers and arithmetic let you represent any amount you want using just two digits: 0 and 1. Here are some examples:

Decimal 1 is binary 0001
Decimal 3 is binary 0011
Decimal 6 is binary 0110
Decimal 9 is binary 1001



Each digit "1" in a binary number represents a power of two, and each "0" represents zero:

0001 is 2 to the zero power, or 1
0010 is 2 to the 1st power, or 2
0100 is 2 to the 2nd power, or 4
1000 is 2 to the 3rd power, or 8.


When you see a number like "0101" you can figure out what it means by adding the powers of 2:

0101 = 0 + 4 + 0 + 1 = 5
1010 = 8 + 0 + 2 + 0 = 10
0111 = 0 + 4 + 2 + 1 = 7

Tuesday, December 05, 2006

Net (Science )


Work
Definition: The work done by an agent exerting a constant force ( F ) and causing a displacement ( d ) equals the magnitude of the displacement, s, times the component of along the direction of the work done by is:

W = s .F.cos0.

Mathematically, work can be expressed by the following equation.


where F = force, d = displacement, and the angle (theta) is defined as the angle between the force and the displacement vector. Perhaps the most difficult aspect of the above equation is the angle "theta." The angle is not just any 'ole angle, but rather a very specific angle. The angle measure is defined as the angle between the force and the displacement. To gather an idea of its meaning, consider the following three scenarios.Scenario A: A force acts rightward upon an object as it is displaced rightward. In such an instance, the force vector and the displacement vector are in the same direction. Thus, the angle between F and d is 0 degrees.
Scenario B: A force acts leftward upon an object which is displaced rightward. In such an instance, the force vector and the displacement vector are in the opposite direction. Thus, the angle between F and d is 180 degrees.
Scenario C: A force acts upward upon an object as it is displaced rightward. In such an instance, the force vector and the displacement vector are at right angles to each other. Thus, the angle between F and d is 90 degrees







Scenario A: A force acts rightward upon an object as it is displaced rightward. In such an instance, the force vector and the displacement vector are in the same direction. Thus, the angle between F and d is 0 degrees.
Scenario B: A force acts leftward upon an object which is displaced rightward. In such an instance, the force vector and the displacement vector are in the opposite direction. Thus, the angle between F and d is 180 degrees.
Scenario C: A force acts upward upon an object as it is displaced rightward. In such an instance, the force vector and the displacement vector are at right angles to each other. Thus, the angle between F and d is 90 degrees.






Note:

If d = 0 W = 0. (ie: no work is done when holding a heavy box, or pushing against a wall).
W = 0 if (ie: no work is done by carrying a bucket of water horizontally).
The sign of W depends on the direction of relative to : W > 0 when component of along is in the same direction as , and W < 0 when it is in the opposite direction. This sign is given automatically if we write as the angle between and and write W = Fscos .
If acts along the direction of then W = Fs , since cos = cos 0 = 1.
Work is a scalar.
The SI units of work are Joules (J) (1 Joule = 1 Newton meter). In cgs units: 1 erg = 1 dyne cm

Jobs in Maths


For those who are looking to use their mathematical knowledge in the workplace, options are many and varied, with the most popular areas being the actuarial profession, the financial sector, IT, computer programming and systems administration. There are also countless opportunities within business and indusrty where employers will need mathematicians for research and development, statistical analysis, even marketing and sales.

The public sector, the government and the Civil Service should also not be overlooked as potential employers. While maths graduates will almost certainly find opportunities for better paid employment outside the public sector, the good job security and generous pensions packages offered here will certainly attract many graduates.

Teaching is another area where maths graduates will find plenty of opportunity for good employment. There is currently a lack of maths teachers in schools, and this has led the government to offer excellent start-up packages and ongoing incentives for those considering teaching maths. Also, the recently published Smith Inquiry into Post-14 Mathematics Education made several recommendations, including the possibility of paying maths teachers at a higher rate than those teaching other subjects.

Finally, of course, there is always the option to stay within academia and work towards a Masters of PhD. This could be as a prelude to looking for a research post or lectureship, or simply as a means to enter employment at a higher level than graduate. In fact, it is becoming more and more common for employers—especially in the more complex areas of financial and statistical modelling—to look only for people with postgraduate degrees. This is definitely something to consider if you intend to follow this type of career path
Having a maths, or maths-based degree, is a valuable asset to your future career. You may decide to take up a career in which your mathematical knowledge is not essential, and possibly one which does not even necessarily require a degree, but you will still find that the skills you have acquired through your study of maths - the ability to think rationally and to process data clearly and accurately - will prove to be extremely useful to you and highly valued by your employer.