Search results
Results from the WOW.Com Content Network
All her books were written according to a familiar formula. [bolding mine] So a formula is an established method. Other well-known senses of formula must also inform this usage at the subtext level: the chemical usage, the mathematical usage, the high-tech ('Formula 1' etc) usages. These put the word into the formal / qualified / adept / more ...
1. Grammatically, both by and as are acceptable in either of the examples given. But as mathematical statements, both examples have problems. In the first example, “The function f is defined by/as f=a+b+c ”, unless a, b, c all are previously-defined functions or constants, the arguments of f and its dependence on them is unclear, ie ...
This is a definition? That is: A,B is the setting and C is the actual definition? If so: Definitely no comma after "then". Probably a period after B (although semicolon or comma are OK). If there are only two items A,B with "and" between, then no comma is needed. Let n be a positive integer and let A be an n x n matrix. Then A is said to be ...
Invert (Merriam-Webster) a: to reverse in position, order, or relationship b: to subject to inversion. a: to turn inside out or upside down b: to turn inward. a: to find the mathematical reciprocal of b: to divide using fractions, invert the divisor and multiply.
Optimizing is the process of making something optimal. So to optimize is to make more efficient. – Christopher Rayl. Sep 30, 2011 at 21:18. 4. Not to rock the boat, but I disagree. Optimisation is the (usually incremental) process of making something optimal, but when you optimise something it's usually done in discrete steps.
The formula has a high concentration of the active ingredients. Our product is a concentrated formula of the active ingredient. The active ingredients have been concentrated in our formula. All of these are based on Oxford's 3rd definition of concentrate, which requires an object:
bigoted definition: adjective: having or revealing an obstinate belief in the superiority of one’s own opinions and a prejudiced intolerance of the opinions of others. likewise, bigot definition: noun: a person who is bigoted. bigotry definition: noun: bigoted attitudes; intolerance toward those who hold different opinions from oneself
The sentences, while very similar, do have a subtle difference of meaning. "Such that" is a description of HOW something is to be done: The image will be sheared such that the x-axis goes through (1,1). -> The image will be sheared in such a way that the x-axis goes through (1,1). "So that" is a description of WHY something is to be done:
According to Seth Lindstromberg in English Prepositions Explained, while "of" expresses referential possession (the word has a definition) or a verb-object relationship (the word is defined), "for" expresses purpose (I want a definition for the purpose of defining this word). Something similar can happen with other nouns, for example "solution":
Can you imagine if the definition of the rocket coordinates had dual meanings and changed arbitrarily on the whim of a user? The prefix "bi-" comes from the Latin "bis" meaning "twice". Substituting for "bi-" we have: bi-weekly = twice-weekly; bi-annually = twice annually.