Jose Rizal

Definition of Measurement Measurement  is the process or the result of determining the  ratio  of a  physical quantity, such as a length, time, temperature etc. , to a unit of measurement, such as the meter, second or degree Celsius. The science of measurement is called  metrology. The English word  measurement  originates from the  Latin  mensura  and the verb  metiri  through the  Middle French  mesure. Reference: http://en. wikipedia. org/wiki/Measurement Measurement Quantities *Basic FundamentalQuantity name/s| (Common) Quantity symbol/s| SI unit name| SI unit symbol| Dimension symbol| Length, width, height, depth| a, b, c, d, h, l, r, s, w, x, y, z| metre| m| [L]| Time| t| second| s| [T]| Mass| m| kilogram| kg| [M]| Temperature| T, ? | kelvin| K| [? ]| Amount of  substance, number of moles| n| mole| mol| [N]| Electric current| i, I| ampere| A| [I]| Luminous intensity| Iv| candela| Cd| [J]| Plane angle| ? , ? , ? , ? , ? , ? | radian| rad| dimensionl ess| Solid angle| ? , ? | steradian| sr| dimensionless| Derived Quantities Space Common) Quantity name/s| (Common) Quantity symbol| SI unit| Dimension| (Spatial)  position (vector)| r,  R,  a,  d| m| [L]| Angular position, angle of rotation (can be treated as vector or scalar)| ? ,  ? | rad| dimensionless| Area, cross-section| A, S, ? | m2| [L]2| Vector area  (Magnitude of surface area, directed normal totangential  plane of surface)| | m2| [L]2| Volume| ? , V| m3| [L]3| Quantity| Typical symbols| Definition| Meaning, usage| Dimension| Quantity| q| q| Amount of a property| [q]| Rate of change of quantity,  Time derivative| | | Rate of change of property with respect to time| [q] [T]? 1| Quantity spatial density| ? volume density (n  = 3),  ? = surface density (n  = 2),  ? = linear density (n  = 1)No common symbol for  n-space density, here  ? n  is used. | | Amount of property per unit n-space(length, area, volume or higher dimensions)| [q][L]-n| Spec ific quantity| qm| | Amount of property per unit mass| [q][L]-n| Molar quantity| qn| | Amount of property per mole of substance| [q][L]-n| Quantity gradient (if  q  is a  scalar field. | | | Rate of change of property with respect to position| [q] [L]? 1| Spectral quantity (for EM waves)| qv, q? , q? | Two definitions are used, for frequency and wavelength: | Amount of property per unit wavelength or frequency. [q][L]? 1  (q? )[q][T] (q? )| Flux, flow (synonymous)| ? F,  F| Two definitions are used;Transport mechanics,  nuclear physics/particle physics: Vector field: | Flow of a property though a cross-section/surface boundary. | [q] [T]? 1  [L]? 2, [F] [L]2| Flux density| F| | Flow of a property though a cross-section/surface boundary per unit cross-section/surface area| [F]| Current| i, I| | Rate of flow of property through a crosssection/ surface boundary| [q] [T]? 1| Current density (sometimes called flux density in transport mechanics)| j, J| | Rate of flow of pro perty per unit cross-section/surface area| [q] [T]? 1  [L]? | Reference: http://en. wikipedia. org/wiki/Physical_quantity#General_derived_quantities http://en. wikipedia. org/wiki/Physical_quantity#Base_quantities System of Units Unit name| Unit symbol| Quantity| Definition (Incomplete)| Dimension symbol| metre| m| length| * Original  (1793):  1? 10000000  of the meridian through Paris between the North Pole and the EquatorFG * Current  (1983): The distance travelled by light in vacuum in  1? 299792458  of a second| L| kilogram[note 1]| kg| mass| * Original  (1793): The  grave  was defined as being the weight [mass] of one cubic decimetre of pure water at its freezing point.FG * Current  (1889): The mass of the International Prototype Kilogram| M| second| s| time| * Original  (Medieval):  1? 86400  of a day * Current  (1967): The duration of  9 192 631 770  periods of the radiation corresponding to the transition between the two hyperfine levels of the ground state of the caesium 133 atom| T| ampere| A| electric current| * Original  (1881): A tenth of the electromagnetic CGS unit of current. [The [CGS] emu unit of current is that current, flowing in an arc 1  cm long of a circle 1  cm in radius creates a field of one oersted at the centre. 37]]. IEC * Current  (1946): The constant current which, if maintained in two straight parallel conductors of infinite length, of negligible circular cross-section, and placed 1  m apart in vacuum, would produce between these conductors a force equal to 2 x 10-7  newton per metre of length| I| kelvin| K| thermodynamic temperature| * Original  (1743): The  centigrade scale  is obtained by assigning 0 ° to the freezing point of water and 100 ° to the boiling point of water. * Current  (1967): The fraction 1/273. 16 of the thermodynamic temperature of the triple point of water| ? mole| mol| amount of substance| * Original  (1900): The molecular weight of a substance in mass grams. ICAW * Current  (1967): The amount of substance of a system which contains as many elementary entities as there are atoms in 0. 012 kilogram of carbon 12. [note 2]| N| candela| cd| luminous intensity| * Original  (1946):The value of the new candle is such that the brightness of the full radiator at the temperature of solidification of platinum is 60 new candles per square centimetre * Current  (1979): The luminous intensity, in a given direction, of a source that emits monochromatic radiation of frequency 540  ? 012  hertz and that has a radiant intensity in that direction of 1/683 watt per steradian. | J| Reference: http://en. wikipedia. org/wiki/International_System_of_Units Scientific Notation Scientific notation  (more commonly known as  standard form) is a way of writing numbers that are too big or too small to be conveniently written in decimal form. Scientific notation has a number of useful properties and is commonly used in calculators and by scie ntists, mathematicians and engineers.In scientific notation all numbers are written in the form of (a  times ten raised to the power of  b), where the  exponent  b  is an  integer, and the  coefficient  a  is any  real number  (however, see  normalized notation  below), called the  significand  or  mantissa. The term â€Å"mantissa† may cause confusion, however, because it can also refer to the  fractional  part of the common  logarithm. If the number is negative then a minus sign precedes  a  (as in ordinary decimal notation). ————————————————-Converting numbers Converting a number in these cases means to either convert the number into scientific notation form, convert it back into decimal form or to change the exponent part of the equation. None of these alter the actual number, only how it's expressed. Decimal to scientif ic First, move the decimal separator point the required amount,  n, to make the number's value within a desired range, between 1 and 10 for normalized notation. If the decimal was moved to the left, append  x  10n; to the right,  x  10-n.To represent the number 1,230,400 in normalized scientific notation, the decimal separator would be moved 6 digits to the left and  x  106  appended, resulting in1. 2304? 106. The number -0. 004  0321 would have its decimal separator shifted 3 digits to the right instead of the left and yield  ? 4. 0321? 10? 3  as a result. Scientific to decimal Converting a number from scientific notation to decimal notation, first remove the  x 10n  on the end, then shift the decimal separator  n  digits to the right (positive  n) or left (negative  n). The number1. 2304? 06  would have its decimal separator shifted 6 digits to the right and become 1 230 400, while  ? 4. 0321? 10? 3  would have its decimal separator moved 3 digits to the left and be-0. 0040321. Exponential Conversion between different scientific notation representations of the same number with different exponential values is achieved by performing opposite operations of multiplication or division by a power of ten on the significand and an subtraction or addition of one on the exponent part. The decimal separator in the significand is shifted  x  places to the left (or right) and 1x  is added to (subtracted from) the exponent, as shown below. . 234? 103  =  12. 34? 102  =  123. 4? 101  = 1234 Significant Figures The  significant figures  (also known as  significant digits, and often shortened to  sig figs) of a number are those  digits  that carry meaning contributing to its  precision. This includes all digitsexcept: * leading  and  trailing zeros  which are merely placeholders to indicate the scale of the number. * spurious digits introduced, for example, by calculations carried out to greater prec ision than that of the original data, or measurements reported to a greater precision than the equipment supports.Inaccuracy of a measuring device does not affect the number of significant figures in a measurement made using that device, although it does affect the accuracy. A measurement made using a plastic ruler that has been left out in the sun or a beaker that unbeknownst to the technician has a few glass beads at the bottom has the same number of significant figures as a significantly different measurement of the same physical object made using an unaltered ruler or beaker. The number of significant figures reflects the device's precision, but not its  accuracy.The basic concept of significant figures is often used in connection with  rounding. Rounding to significant figures is a more general-purpose technique than rounding to  n  decimal places, since it handles numbers of different scales in a uniform way. For example, the population of a city might only be known to the nearest thousand and be stated as 52,000, while the population of a country might only be known to the nearest million and be stated as 52,000,000. The former might be in error by hundreds, and the latter might be in error by hundreds of thousands, but both have two significant figures (5 and 2).This reflects the fact that the significance of the error (its likely size relative to the size of the quantity being measured) is the same in both cases. Computer representations of  floating point numbers  typically use a form of rounding to significant figures, but with  binary numbers. The number of correct significant figures is closely related to the notion of  relative error  (which has the advantage of being a more accurate measure of precision, and is independent of the radix of the number system used).The term â€Å"significant figures† can also refer to a crude form of error representation based around significant-digit rounding; for this use, see  signific ance arithmetic. The rules for identifying significant figures when writing or interpreting numbers are as follows:   * All non-zero digits are considered significant. For example, 91 has two significant figures (9 and 1), while 123. 45 has five significant figures (1, 2, 3, 4 and 5). * Zeros appearing anywhere between two non-zero digits are significant. Example: 101. 12 has five significant figures: 1, 0, 1, 1 and 2. Leading zeros are not significant. For example, 0. 00052 has two significant figures: 5 and 2. * Trailing zeros in a number containing a decimal point are significant. For example, 12. 2300 has six significant figures: 1, 2, 2, 3, 0 and 0. The number 0. 000122300 still has only six significant figures (the zeros before the 1 are not significant). In addition, 120. 00 has five significant figures since it has three trailing zeros. This convention clarifies the precision of such numbers; for example, if a measurement precise to four decimal places (0. 001) is given as 12. 23 then it might be understood that only two decimal places of precision are available. Stating the result as 12. 2300 makes clear that it is precise to four decimal places (in this case, six significant figures). * The significance of trailing zeros in a number not containing a decimal point can be ambiguous. For example, it may not always be clear if a number like 1300 is precise to the nearest unit (and just happens coincidentally to be an exact multiple of a hundred) or if it is only shown to the nearest hundred due to rounding or uncertainty.Various conventions exist to address this issue: * A  bar  may be placed over the last significant figure; any trailing zeros following this are insignificant. For example, 1300 has three significant figures (and hence indicates that the number is precise to the nearest ten). * The last significant figure of a number may be underlined; for example, â€Å"2000† has two significant figures. * A decimal point may be placed afte r the number; for example â€Å"100. † indicates specifically that three significant figures are meant. * In the combination of a number and a  unit of measurement  the ambiguity can be voided by choosing a suitable  unit prefix. For example, the number of significant figures in a mass specified as 1300  g is ambiguous, while in a mass of 13  h? g or 1. 3  kg it is not. Rounding Off Numbers Rounding  a numerical value means replacing it by another value that is approximately equal but has a shorter, simpler, or more explicit representation; for example, replacing ? 23. 4476 with ? 23. 45, or the fraction 312/937 with 1/3, or the expression v2 with 1. 414. Rounding is often done on purpose to obtain a value that is easier to write and handle than the original.It may be done also to indicate the accuracy of a computed number; for example, a quantity that was computed as 123,456 but is known to be accurate only to within a few hundred units is better stated as â₠¬Å"about 123,500. † On the other hand, rounding introduces some  round-off error  in the result. Rounding is almost unavoidable in many computations — especially when dividing two numbers in  integer  or  fixed-point arithmetic; when computing mathematical functions such as  square roots,  logarithms, and  sines; or when using a  floating point  representation with a fixed number of significant digits.In a sequence of calculations, these rounding errors generally accumulate, and in certain  ill-conditioned  cases they may make the result meaningless. Accurate rounding of  transcendental mathematical functions  is difficult because the number of extra digits that need to be calculated to resolve whether to round up or down cannot be known in advance. This problem is known as â€Å"the table-maker's dilemma†. Rounding has many similarities to the  quantization  that occurs when  physical quantities  must be encoded by numbers orà ‚  digital signals. Typical rounding problems are pproximating an irrational number by a fraction, e. g. ,  ? by 22/7; approximating a fraction with periodic decimal expansion by a finite decimal fraction, e. g. , 5/3 by 1. 6667; replacing a  rational number  by a fraction with smaller numerator and denominator, e. g. , 3122/9417 by 1/3; replacing a fractional  decimal number  by one with fewer digits, e. g. , 2. 1784 dollars by 2. 18 dollars; replacing a decimal  integer  by an integer with more trailing zeros, e. g. , 23,217 people by 23,200 people; or, in general, replacing a value by a multiple of a specified amount, e. . , 27. 2 seconds by 30 seconds (a multiple of 15). Conversion of Units Process The process of conversion depends on the specific situation and the intended purpose. This may be governed by regulation,  contract,  Technical specifications  or other published  standards. Engineering judgment may include such factors as: * The  precision and accuracy  of measurement and the associated  uncertainty of measurement * The statistical  confidence interval  or  tolerance interval  of the initial measurement * The number of  significant figures  of the measurement The intended use of the measurement including the  engineering tolerances Some conversions from one system of units to another need to be exact, without increasing or decreasing the precision of the first measurement. This is sometimes called  soft conversion. It does not involve changing the physical configuration of the item being measured. By contrast, a  hard conversion  or an  adaptive conversion  may not be exactly equivalent. It changes the measurement to convenient and workable numbers and units in the new system. It sometimes involves a slightly different configuration, or size substitution, of the item.Nominal values  are sometimes allowed and used. Multiplication factors Conversion between units in the  metric system  can be discerned by their  prefixes  (for example, 1 kilogram = 1000  grams, 1 milligram = 0. 001  grams) and are thus not listed in this article. Exceptions are made if the unit is commonly known by another name (for example, 1 micron = 10? 6  metre). Table ordering Within each table, the units are listed alphabetically, and the  SI  units (base or derived) are highlighted. ————————————————- Tables of conversion factorsThis article gives lists of conversion factors for each of a number of physical quantities, which are listed in the index. For each physical quantity, a number of different units (some only of historical interest) are shown and expressed in terms of the corresponding SI unit. Legend| Symbol| Definition| ?| exactly equal to| ?| approximately equal to| digits| indicates that  digits  repeat infinitely (e. g. 8. 294369  corresponds to  8. 29 4369369369369†¦)| (H)| of chiefly historical interest| ASSIGNMENT IN PHYSICS I-LEC Submitted by: Balagtas, Glen Paulo R. BS Marine Transportation-I Submitted to: Mrs. Elizabeth Gabriel Professor in Physics-Lec Jose Rizal Write a reflection paper tracing the development of Rizal as a reformist who began to work for changes in his country using: a) one (1) work from Rizal As A Reformist b) the Noli Me Tangere Show also the significance of these works on Filipino society today and how it can change today’s trends. Pag-ibig sa Tinubuang Lupa by Dr. Jose P. Rizal (keyword: love of country) Rizal’s Pag-ibig sa Tinubuang Lupa was written in 1882 when Rizal was 21 years old.Rizal was away in Spain for only a month, which may have inspired him to write this literature because he misses his homeland. This work of Rizal is a very significant work of Rizal as a reformist because it expresses his dear love for his native land. As he wrote this literature and felt his love for his country, he builds the foundation of him being a reformist because of the drive to fight for change. Through Pag-ibig sa Tinubuang Lupa, Rizal realizes how much he loves his country and that it has fallen into the wrong gov ernance and that this needs to be changed.Through the lines â€Å"Maging anuman nga ang kalagayan natin, ay nararapat nating mahalin siya at walang ibang bagay na dapat naisin tayo kundi ang kagalingan niya (referring to Philippines)† Rizal explicitly reveals his love for the country and expresses the importance to love and work for the betterment of our homeland. It can also be seen in these lines that even if he is out of the country studying, he will do his part as a Filipino to fight for the rights of every Filipino.Today, this work of Rizal may serve as a reminder for all the people in this country that being a Filipino calls for a duty to serve our native land and fellow citizens. If though Rizal’s work, Filipinos realize their duty as a citizen and love for their country, the Philippines would be a better place to live in and it would be easy to manipulate the society towards a progressive nation. Noli Me Tangere by Dr. Jose P. Rizal Rizal’s well-known no vel entitled Noli Me Tangere is one of his works that clearly expresses Rizal as a reformist.Rizal finished his first novel when he was at the age of 26 years old. The hero was penniless, good thanks to his friend Maximo Viola who supported him and shouldered the publication of this novel, the reason why we have a copy in our hands. In this novel, Rizal conveys his belief that education is very important and is an effective tool for reform in the country. Rizal was very brave to depict the issues in the Philippines such as corruption and oppression through the characters and storyline in his novel.The Noli Me Tangere was a very expressive move of Rizal to start the campaign for liberal reform for the country. In this book, Rizal shares his personal experiences at the harsh hands of the Spaniards, as well as experiences shared by his loved ones. Rizal’s brave soul to publish a novel containing these experiences and lessons, encourages Filipinos to be continuous is learning as he did. It again, boils down to his belief that education will strengthen one’s principles in life and even open your world to the experiences of other people.Until today, Noli Me Tangere and its sequel El Filibusterismo serve as an inspiration for writers to express through literature any present issues in the society. It also evokes the idea of liberalism in such a way that Filipinos has become open-minded to innovations and beliefs that will benefit the country. Most importantly, education is very well valued, as tool needed by every individual to help progress the country.